@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/117393,
    title ="Ensemble Kalman inversion for sparse learning of dynamical systems from time-averaged data",
    author = "Schneider, Tapio and Stuart, Andrew M. and Wu, Jin-Long",
    journal = "Journal of Computational Physics",
    volume = "470",
    
    pages = "Art. No. 111559",
    month = "December",
    year = "2022",
    doi = "https://doi.org/10.1016/j.jcp.2022.111559",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20221013-45138000.1",
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@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/117135,
    title ="Ensemble-Based Experimental Design for Targeting Data Acquisition to Inform Climate Models",
    author = "Dunbar, Oliver R. A. and Howland, Michael F. and Schneider, Tapio and Stuart, Andrew M.",
    journal = "Journal of Advances in Modeling Earth Systems",
    volume = "14",
    number = "9",
    pages = "Art. No. e2022MS002997",
    month = "September",
    year = "2022",
    doi = "https://doi.org/10.1029/2022MS002997",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20220926-576391900.2",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/109922,
    title ="Iterated Kalman methodology for inverse problems",
    author = "Huang, Daniel Zhengyu and Schneider, Tapio and Stuart, Andrew M.",
    journal = "Journal of Computational Physics",
    volume = "463",
    
    pages = "Art. No. 111262",
    month = "August",
    year = "2022",
    doi = "https://doi.org/10.1016/j.jcp.2022.111262",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20210719-210149563",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/118577,
    title ="Second Order Ensemble Langevin Method for Sampling and Inverse Problems",
    author = "Liu, Ziming and Stuart, Andrew M. and Wang, Yixuan",
    journal = "arXiv",
    
    
    
    month = "August",
    year = "2022",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20221221-222944367",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/108700,
    title ="Ensemble Inference Methods for Models With Noisy and Expensive Likelihoods",
    author = "Dunbar, Oliver R. A. and Duncan, Andrew B. and Stuart, Andrew M. and Wolfram, Marie-Therese",
    journal = "SIAM Journal on Applied Dynamical Systems",
    volume = "21",
    number = "2",
    pages = "1539-1572",
    month = "June",
    year = "2022",
    doi = "https://doi.org/10.1137/21M1410853",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20210412-121307581",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/109920,
    title ="Consensus-based sampling",
    author = "Carrillo, J. A. and Hoffmann, F. and Stuart, A. M. and Vaes, U.",
    journal = "Studies in Applied Mathematics",
    volume = "148",
    number = "3",
    pages = "1069-1140",
    month = "April",
    year = "2022",
    doi = "https://doi.org/10.1111/sapm.12470",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20210719-210142693",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/113068,
    title ="Multiscale modeling of materials: Computing, data science, uncertainty and goal-oriented optimization",
    author = "Kovachki, Nikola and Liu, Burigede and Sun, Xingsheng and Zhou, Hao and Bhattacharya, Kaushik and Ortiz, Michael and Stuart, Andrew",
    journal = "Mechanics of Materials",
    volume = "165",
    
    pages = "Art. No. 104156",
    month = "February",
    year = "2022",
    doi = "https://doi.org/10.1016/j.mechmat.2021.104156",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20220121-968309000",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/109923,
    title ="Derivative-Free Bayesian Inversion Using Multiscale Dynamics",
    author = "Pavliotis, G. A. and Stuart, A. M. and Vaes, U.",
    journal = "SIAM Journal on Applied Dynamical Systems",
    volume = "21",
    number = "1",
    pages = "284-326",
    month = "January",
    year = "2022",
    doi = "https://doi.org/10.1137/21M1397416",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20210719-210152979",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/112987,
    title ="Ensemble-Based Experimental Design for Targeted High-Resolution Simulations to Inform Climate Models",
    author = "Dunbar, Oliver R. A. and Howland, Michael F. and Schneider, Tapio and Stuart, Andrew M.",
    
    
    
    
    month = "January",
    year = "2022",
    doi = "https://doi.org/10.1002/essoar.10510142.1",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20220119-572479000",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/108205,
    title ="A learning-based multiscale method and its application to inelastic impact problems",
    author = "Liu, Burigede and Kovachki, Nikola and Li, Zongyi and Azizzadenesheli, Kamyar and Anandkumar, Anima and Stuart, Andrew M. and Bhattacharya, Kaushik",
    journal = "Journal of the Mechanics and Physics of Solids",
    volume = "158",
    
    pages = "Art. No. 104668",
    month = "January",
    year = "2022",
    doi = "https://doi.org/10.1016/j.jmps.2021.104668",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20210225-132721680",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/102186,
    title ="Spectral analysis of weighted Laplacians arising in data clustering",
    author = "Hoffmann, Franca and Hosseini, Bamdad and Oberai, Assad A. and Stuart, Andrew M.",
    journal = "Applied and Computational Harmonic Analysis",
    volume = "56",
    
    pages = "189-249",
    month = "January",
    year = "2022",
    doi = "https://doi.org/10.1016/j.acha.2021.07.004",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20200331-075759863",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/109921,
    title ="Solving and learning nonlinear PDEs with Gaussian processes",
    author = "Chen, Yifan and Hosseini, Bamdad and Owhadi, Houman and Stuart, Andrew M.",
    journal = "Journal of Computational Physics",
    volume = "447",
    
    pages = "Art. No. 110668",
    month = "December",
    year = "2021",
    doi = "https://doi.org/10.1016/j.jcp.2021.110668",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20210719-210146136",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/106564,
    title ="Drift Estimation of Multiscale Diffusions Based on Filtered Data",
    author = "Abdulle, Assyr and Garegnani, Giacomo and Pavliotis, Grigorios A. and Stuart, Andrew M. and Zanoni, Andrea",
    journal = "Foundations of Computational Mathematics",
    
    
    
    month = "October",
    year = "2021",
    doi = "https://doi.org/10.1007/s10208-021-09541-9",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20201109-141017891",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/106563,
    title ="Posterior consistency of semi-supervised regression on graphs",
    author = "Bertozzi, Andrea L. and Hosseini, Bamdad and Li, Hao and Miller, Kevin and Stuart, Andrew M.",
    journal = "Inverse Problems",
    volume = "37",
    number = "10",
    pages = "Art. No. 105011",
    month = "October",
    year = "2021",
    doi = "https://doi.org/10.1088/1361-6420/ac1e80",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20201109-141014452",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/103482,
    title ="The Random Feature Model for Input-Output Maps between Banach Spaces",
    author = "Nelsen, Nicholas H. and Stuart, Andrew M.",
    journal = "SIAM Journal on Scientific Computing",
    volume = "43",
    number = "5",
    pages = "A3212-A3243",
    month = "September",
    year = "2021",
    doi = "https://doi.org/10.1137/20M133957X",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20200527-073449881",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/107459,
    title ="Calibration and Uncertainty Quantification of Convective Parameters in an Idealized GCM",
    author = "Dunbar, Oliver R. A. and Garbuno-Inigo, Alfredo and Schneider, Tapio and Stuart, Andrew M.",
    journal = "Journal of Advances in Modelling Earth Systems",
    volume = "13",
    number = "9",
    pages = "Art. No. e2020MS002454",
    month = "September",
    year = "2021",
    doi = "https://doi.org/10.1029/2020MS002454",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20210113-143919927",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/114901,
    title ="Convergence Rates for Learning Linear Operators from Noisy Data",
    author = "de Hoop, Maarten V. and Kovachki, Nikola B. and Nelsen, Nicholas H. and Stuart, Andrew M.",
    journal = "arXiv",
    
    
    
    month = "August",
    year = "2021",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20220524-180322099",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/110666,
    title ="Neural Operator: Learning Maps Between Function Spaces",
    author = "Kovachki, Nikola and Li, Zongyi and Liu, Burigede and Azizzadenesheli, Kamyar and Bhattacharya, Kaushik and Stuart, Andrew and Anandkumar, Anima",
    journal = "arXiv",
    
    
    
    month = "August",
    year = "2021",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20210831-204010794",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/109919,
    title ="A Framework for Machine Learning of Model Error in Dynamical Systems",
    author = "Levine, Matthew E. and Stuart, Andrew M.",
    journal = "arXiv",
    
    
    
    month = "July",
    year = "2021",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20210719-210139286",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/106559,
    title ="Kernel Analog Forecasting: Multiscale Test Problems",
    author = "Burov, Dmitry and Giannakis, Dimitrios and Manohar, Krithika and Stuart, Andrew",
    journal = "Multiscale Modeling and Simulation",
    volume = "19",
    number = "2",
    pages = "1011-1040",
    month = "June",
    year = "2021",
    doi = "https://doi.org/10.1137/20M1338289",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20201109-140959408",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/106560,
    title ="Consistency of empirical Bayes and kernel flow for hierarchical parameter estimation",
    author = "Chen, Yifang and Owhadi, Houman and Stuart, Andrew M.",
    journal = "Mathematics of Computation",
    volume = "90",
    
    pages = "2527-2578",
    month = "June",
    year = "2021",
    doi = "https://doi.org/10.1090/mcom/3649",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20201109-141002843",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/109918,
    title ="Learning Dissipative Dynamics in Chaotic Systems",
    author = "Li, Zongyi and Kovachki, Nikola and Azizzadenesheli, Kamyar and Liu, Burigede and Bhattacharya, Kaushik and Stuart, Andrew and Anandkumar, Anima",
    journal = "arXiv",
    
    
    
    month = "June",
    year = "2021",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20210719-210135878",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/102274,
    title ="Calibrate, emulate, sample",
    author = "Cleary, Emmet and Garbuno-Inigo, Alfredo and Lan, Shiwei and Schneider, Tapio and Stuart, Andrew M.",
    journal = "Journal of Computational Physics",
    volume = "424",
    
    pages = "Art. No. 109716",
    month = "January",
    year = "2021",
    doi = "https://doi.org/10.1016/j.jcp.2020.109716",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20200402-140348174",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/108917,
    title ="Continuous Time Analysis of Momentum Methods",
    author = "Kovachki, Nikola B. and Stuart, Andrew M.",
    journal = "Journal of Machine Learning Research",
    volume = "22",
    number = "17",
    pages = "1-40",
    month = "January",
    year = "2021",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20210503-091850360",
}
@book_section {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/106492,
    title ="Multipole Graph Neural Operator for Parametric Partial Differential Equations",
    author = "Li, Zongyi and Kovachki, Nikola and Azizzadenesheli, Kamyar and Liu, Burigede and Bhattacharya, Kaushik and Stuart, Andrew and Anandkumar, Anima",
    journal = "arXiv",
    
    
    
    month = "December",
    year = "2020",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20201106-120222366",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/106480,
    title ="Fourier Neural Operator for Parametric Partial Differential Equations",
    author = "Li, Zongyi and Kovachki, Nikola and Azizzadenesheli, Kamyar and Liu, Burigede and Bhattacharya, Kaushik and Stuart, Andrew and Anandkumar, Anima",
    journal = "arXiv",
    
    
    
    month = "October",
    year = "2020",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20201106-120140981",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/94453,
    title ="Large Data and Zero Noise Limits of Graph-Based Semi-Supervised Learning Algorithms",
    author = "Dunlop, Matthew M. and Slepčev, Dejan and Stuart, Andrew M. and Thorpe, Matthew",
    journal = "Applied and Computational Harmonic Analysis",
    volume = "49",
    number = "2",
    pages = "655-697",
    month = "September",
    year = "2020",
    doi = "https://doi.org/10.1016/j.acha.2019.03.005",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20190404-103712251",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/106562,
    title ="Ensemble Kalman Inversion for Sparse Learning of Dynamical Systems from Time-Averaged Data",
    author = "Schneider, Tapio and Stuart, Andrew M. and Wu, Jin-Long",
    journal = "arXiv",
    
    
    
    month = "July",
    year = "2020",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20201109-141011032",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/78108,
    title ="Reconciling Bayesian and Perimeter Regularization for Binary Inversion",
    author = "Dunbar, Oliver R. A. and Dunlop, Matthew M. and Elliott, Charles M. and Hoang, Viet Ha and Stuart, Andrew M.",
    journal = "SIAM Journal on Scientific Computing",
    volume = "42",
    number = "4",
    pages = "A1984-A2013",
    month = "July",
    year = "2020",
    doi = "https://doi.org/10.1137/18M1179559",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170612-125032088",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/97303,
    title ="Consistency of Semi-Supervised Learning Algorithms on Graphs: Probit and One-Hot Methods",
    author = "Hoffmann, Franca and Hosseini, Bamdad and Ren, Zhi and Stuart, Andrew M.",
    journal = "Journal of Machine Learning Research",
    volume = "21",
    
    pages = "1-55",
    month = "July",
    year = "2020",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20190722-075729960",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/103032,
    title ="Site Characterization at Downhole Arrays by Joint Inversion of Dispersion Data and Acceleration Time Series",
    author = "Seylabi, Elnaz and Stuart, Andrew M. and Asimaki, Domniki",
    journal = "Bulletin of the Seismological Society of America",
    volume = "110",
    number = "3",
    pages = "1323-1337",
    month = "June",
    year = "2020",
    doi = "https://doi.org/10.1785/0120190256",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20200506-121245893",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/103483,
    title ="Model Reduction and Neural Networks for Parametric PDEs",
    author = "Bhattacharya, Kaushik and Hosseini, Bamdad and Kovachki, Nikola B. and Stuart, Andrew M.",
    journal = "arXiv",
    
    
    
    month = "May",
    year = "2020",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20200527-074228185",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/97333,
    title ="Diffusive optical tomography in the Bayesian framework",
    author = "Newton, Kit and Li, Qin and Stuart, Andrew",
    journal = "Multiscale Modeling and Simulation",
    volume = "18",
    number = "2",
    pages = "589-611",
    month = "April",
    year = "2020",
    doi = "https://doi.org/10.1137/19M1247346",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20190722-155900728",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/97299,
    title ="Tikhonov Regularization Within Ensemble Kalman Inversion",
    author = "Chada, Neil K. and Stuart, Andrew M. and Tong, Xin T.",
    journal = "SIAM Journal on Numerical Analysis",
    volume = "58",
    number = "2",
    pages = "1263-1294",
    month = "April",
    year = "2020",
    doi = "https://doi.org/10.1137/19M1242331",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20190719-130631059",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/106558,
    title ="Learning Stochastic Closures Using Ensemble Kalman Inversion",
    author = "Schneider, Tapio and Stuart, Andrew M. and Wu, Jin-Long",
    journal = "arXiv",
    
    
    
    month = "April",
    year = "2020",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20201109-140955956",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/102271,
    title ="Neural Operator: Graph Kernel Network for Partial Differential Equations",
    author = "Li, Zongyi and Kovachki, Nikola and Azizzadenesheli, Kamyar and Liu, Burigede and Bhattacharya, Kaushik and Stuart, Andrew and Anandkumar, Anima",
    journal = "arXiv",
    
    
    
    month = "March",
    year = "2020",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20200402-133318521",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/97307,
    title ="Inverse optimal transport",
    author = "Stuart, Andrew M. and Wolfram, Marie-Therese",
    journal = "SIAM Journal on Applied Mathematics",
    volume = "80",
    number = "1",
    pages = "599-619",
    month = "February",
    year = "2020",
    doi = "https://doi.org/10.1137/19M1261122",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20190722-082837777",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/97319,
    title ="Interacting Langevin Diffusions: Gradient Structure and Ensemble Kalman Sampler\r ",
    author = "Garbuno-Inigo, Alfredo and Hoffmann, Franca and Li, Wuchen and Stuart, Andrew M.",
    journal = "SIAM Journal on Applied Dynamical Systems",
    volume = "19",
    number = "1",
    pages = "412-441",
    month = "February",
    year = "2020",
    doi = "https://doi.org/10.1137/19M1251655",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20190722-103410192",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/78107,
    title ="Strong convergence rates of probabilistic integrators for ordinary differential equations",
    author = "Lie, Han Cheng and Stuart, A. M. and Sullivan, T. J.",
    journal = "Statistics and Computing",
    volume = "29",
    number = "6",
    pages = "1265-1283",
    month = "November",
    year = "2019",
    doi = "https://doi.org/10.1007/s11222-019-09898-6",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170612-123841285",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/106557,
    title ="A Simple Modeling Framework For Prediction In The Human Glucose-Insulin System",
    author = "Albers, D. J. and Levine, M. E. and Sirlanci, M. and Stuart, A. M.",
    journal = "arXiv",
    
    
    
    month = "October",
    year = "2019",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20201109-140952547",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/73084,
    title ="Diffusion Limit For The Random Walk Metropolis Algorithm Out Of stationarity",
    author = "Kuntz, Juan and Ottobre, Michela and Stuart, Andrew M.",
    journal = "Annales De l'Institut Henri Poincaré - Probabilitiés et Statistiques",
    volume = "55",
    number = "3",
    pages = "1599-1648",
    month = "September",
    year = "2019",
    doi = "https://doi.org/10.1214/18-AIHP929",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20161221-115035181",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/94460,
    title ="Ensemble Kalman Inversion: A Derivative-Free Technique For Machine Learning Tasks",
    author = "Kovachki, Nikola B. and Stuart, Andrew M.",
    journal = "Inverse Problems",
    volume = "35",
    number = "9",
    pages = "Art. No. 095005",
    month = "September",
    year = "2019",
    doi = "https://doi.org/10.1088/1361-6420/ab1c3a",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20190404-111033209",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/97332,
    title ="Ensemble Kalman Methods With Constraints",
    author = "Albers, David J. and Blancquart, Paul-Adrien and Levine, Matthew E. and Seylabi, Elnaz Esmaeilzadeh and Stuart, Andrew",
    journal = "Inverse Problems",
    volume = "35",
    number = "9",
    pages = "Art. No. 095007",
    month = "September",
    year = "2019",
    doi = "https://doi.org/10.1088/1361-6420/ab1c09",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20190722-155445728",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/73108,
    title ="Ergodicity and Accuracy of Optimal Particle Filters for Bayesian Data Assimilation",
    author = "Kelly, David and Stuart, Andrew M.",
    journal = "Chinese Annals of Mathematics, Series B",
    volume = "40",
    number = "5",
    pages = "811-842",
    month = "September",
    year = "2019",
    doi = "https://doi.org/10.1007/s11401-019-0161-5",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20161221-161911353",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/97297,
    title ="Parameter estimation for macroscopic pedestrian dynamics models from microscopic data",
    author = "Gomes, Susana N. and Stuart, Andrew M. and Wolfram, Marie-Therese",
    journal = "SIAM Journal on Applied Mathematics",
    volume = "79",
    number = "4",
    pages = "1475-1500",
    month = "August",
    year = "2019",
    doi = "https://doi.org/10.1137/18M1215980",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20190719-112058516",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/97317,
    title ="Analysis Of Momentum Methods",
    author = "Kovachki, Nikola B. and Stuart, Andrew M.",
    journal = "arXiv",
    
    
    
    month = "June",
    year = "2019",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20190722-102107649",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/97329,
    title ="Hyperparameter Estimation in Bayesian MAP Estimation: Parameterizations and Consistency",
    author = "Dunlop, Matthew M. and Helin, Tapio and Stuart, Andrew M.",
    journal = "arXiv",
    
    
    
    month = "May",
    year = "2019",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20190722-134133717",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/97346,
    title ="Uncertainty quantification for semi-supervised multi-class classification in image processing and ego-motion analysis of body-worn videos",
    author = "Qiao, Yiling and Shi, Chang and Wang, Chenjian and Li, Hao and Haberland, Matt and Luo, Xiyang and Stuart, Andrew M. and Bertozzi, Andrea L.",
    journal = "Electronic Imaging",
    volume = "2019",
    
    pages = "Art. No. 264",
    month = "January",
    year = "2019",
    doi = "https://doi.org/10.2352/ISSN.2470-1173.2019.11.IPAS-264",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20190723-085611528",
}
@teaching_resource {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/94461,
    title ="Data Assimilation and Inverse Problems",
    author = "Stuart, Andrew and Taeb, Armeen",
    journal = "arXiv",
    
    
    
    month = "October",
    year = "2018",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20190404-111038658",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/90365,
    title ="Mechanistic machine learning: how data assimilation leverages physiologic knowledge using Bayesian inference to forecast the future, infer the present, and phenotype",
    author = "Albers, David J. and Levine, Matthew E. and Stuart, Andrew and Mamykina, Lena and Gluckman, Bruce and Hripcsak, George",
    journal = "Journal of the American Medical Informatics Association",
    volume = "25",
    number = "10",
    pages = "1392-1401",
    month = "October",
    year = "2018",
    doi = "https://doi.org/10.1093/jamia/ocy106",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20181023-111929468",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/90763,
    title ="How Deep Are Deep Gaussian Processes?",
    author = "Dunlop, Matthew M. and Girolami, Mark A. and Stuart, Andrew M. and Teckentrup, Aretha L.",
    journal = "Journal of Machine Learning Research",
    volume = "19",
    number = "54",
    pages = "1-46",
    month = "September",
    year = "2018",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20181108-140320751",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/73037,
    title ="Non-stationary phase of the MALA algorithm",
    author = "Kuntz, Juan and Ottobre, Michela and Stuart, Andrew M.",
    journal = "Stochastics and Partial Differential Equations: Analysis and Computations",
    volume = "6",
    number = "3",
    pages = "446-499",
    month = "September",
    year = "2018",
    doi = "https://doi.org/10.1007/s40072-018-0113-1",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20161220-175620681",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/85818,
    title ="Parameterizations for ensemble Kalman inversion",
    author = "Chada, Neil K. and Iglesias, Marco A. and Roininen, Lassi and Stuart, Andrew M.",
    journal = "Inverse Problems",
    volume = "34",
    number = "5",
    pages = "Art. No. 055009",
    month = "May",
    year = "2018",
    doi = "https://doi.org/10.1088/1361-6420/aab6d9",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20180413-092058450",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/79021,
    title ="Uncertainty Quantification in Graph-Based Classification of High Dimensional Data",
    author = "Bertozzi, Andrea L. and Luo, Xiyang and Stuart, Andrew M. and Zygalakis, Konstantinos C.",
    journal = "SIAM/ASA Journal on Uncertainty Quantification",
    volume = "6",
    number = "2",
    pages = "568-595",
    month = "April",
    year = "2018",
    doi = "https://doi.org/10.1137/17M1134214",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170712-141757416",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/73071,
    title ="Weak error estimates for trajectories of SPDEs for Spectral Galerkin discretization",
    author = "Bréhier, Charles-Edouard and Hairer, Martin and Stuart, Andrew M.",
    journal = "Journal of Computational Mathematics",
    volume = "36",
    number = "2",
    pages = "159-182",
    month = "April",
    year = "2018",
    doi = "https://doi.org/10.4208/jcm.1607-m2016-0539",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20161221-110122611",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/94459,
    title ="Dimension-Robust MCMC in Bayesian Inverse Problems",
    author = "Chen, Victor and Dunlop, Matthew M. and Papaspiliopoulos, Omiros and Stuart, Andrew M.",
    journal = "arXiv",
    
    
    
    month = "March",
    year = "2018",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20190404-111029769",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/73066,
    title ="Posterior consistency for Gaussian process approximations of Bayesian posterior distributions",
    author = "Stuart, Andrew M. and Teckentrup, Aretha L.",
    journal = "Mathematics of Computation",
    volume = "87",
    number = "310",
    pages = "721-753",
    month = "March",
    year = "2018",
    doi = "https://doi.org/10.1090/mcom/3244 ",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20161221-104520265",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/79719,
    title ="Iterative Updating of Model Error for Bayesian Inversion",
    author = "Calvetti, Daniela and Dunlop, Matthew and Somersalo, Erkki and Stuart, Andrew",
    journal = "Inverse Problems",
    volume = "34",
    number = "2",
    pages = "Art. No. 025008",
    month = "February",
    year = "2018",
    doi = "https://doi.org/10.1088/1361-6420/aaa34d",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170801-155824887",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/84027,
    title ="Convergence analysis of ensemble Kalman inversion: the linear, noisy case",
    author = "Schillings, C. and Stuart, A. M.",
    journal = "Applicable Analysis: An International Journal",
    volume = "97",
    number = "1",
    pages = "107-123",
    month = "January",
    year = "2018",
    doi = "https://doi.org/10.1080/00036811.2017.1386784",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20180102-081954370",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/83623,
    title ="Earth System Modeling 2.0: A Blueprint for Models That Learn From Observations and Targeted High-Resolution Simulations  ",
    author = "Schneider, Tapio and Lan, Shiwei and Stuart, Andrew and Teixeira, João",
    journal = "Geophysical Research Letters",
    volume = "44",
    number = "24",
    pages = "12396-12417",
    month = "December",
    year = "2017",
    doi = "https://doi.org/10.1002/2017GL076101",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171201-113659166",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/73114,
    title ="Gaussian Approximations for Probability Measures on R^d",
    author = "Lu, Yulong and Stuart, Andrew and Weber, Hendrik",
    journal = "SIAM/ASA Journal on Uncertainty Quantification",
    volume = "5",
    number = "1",
    pages = "1136-1165",
    month = "November",
    year = "2017",
    doi = "https://doi.org/10.1137/16M1105384",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20161221-163341129",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/71856,
    title ="Hierarchical Bayesian level set inversion",
    author = "Dunlop, Matthew M. and Iglesias, Marco A. and Stuart, Andrew M.",
    journal = "Statistics and Computing",
    volume = "27",
    number = "6",
    pages = "1555-1584",
    month = "November",
    year = "2017",
    doi = "https://doi.org/10.1007/s11222-016-9704-8",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20161109-074003000",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/73039,
    title ="Gaussian Approximations of Small Noise Diffusions in Kullback-Leibler Divergence",
    author = "Sanz-Alonso, Daniel and Stuart, Andrew M.",
    journal = "Communications in Mathematical Sciences",
    volume = "15",
    number = "7",
    pages = "2087-2097",
    month = "October",
    year = "2017",
    doi = "https://doi.org/10.4310/CMS.2017.v15.n7.a13",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20161220-181911579",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/73081,
    title ="Importance Sampling: Intrinsic Dimension and Computational Cost",
    author = "Agapiou, S. and Papaspiliopoulos, O. and Sanz-Alonso, D. and Stuart, A. M.",
    journal = "Statistical Science",
    volume = "32",
    number = "3",
    pages = "405-431",
    month = "September",
    year = "2017",
    doi = "https://doi.org/10.1214/17-STS611",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20161221-114242057",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/81678,
    title ="Gaussian Approximations for Transition Paths in Brownian Dynamics",
    author = "Lu, Yulong and Stuart, Andrew and Weber, Hendrik",
    journal = "SIAM Journal on Mathematical Analysis",
    volume = "49",
    number = "4",
    pages = "3005-3047",
    month = "August",
    year = "2017",
    doi = "https://doi.org/10.1137/16M1071845",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170921-105427126",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/78064,
    title ="Statistical analysis of differential equations: introducing probability measures on numerical solutions",
    author = "Conrad, Patrick R. and Girolami, Mark and Särkkä, Simo and Stuart, Andrew and Zygalakis, Konstantinos",
    journal = "Statistics and Computing",
    volume = "27",
    number = "4",
    pages = "1065-1082",
    month = "July",
    year = "2017",
    doi = "https://doi.org/10.1007/s11222-016-9671-0",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170609-133754387",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/94458,
    title ="Reconciling Bayesian and Total Variation Methods for Binary Inversion",
    author = "Dunlop, Matthew M. and Elliott, Charles M. and Hoang, Viet Ha and Stuart, Andrew M.",
    journal = "arXiv",
    
    
    
    month = "June",
    year = "2017",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20190404-111026312",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/73076,
    title ="Analysis of the ensemble Kalman filter for inverse problems",
    author = "Schillings, Claudia and Stuart, Andrew M.",
    journal = "SIAM Journal on Numerical Analysis",
    volume = "55",
    number = "3",
    pages = "1264-1290",
    month = "May",
    year = "2017",
    doi = "https://doi.org/10.1137/16M105959X",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20161221-112013537",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/73069,
    title ="Quasi-Monte Carlo and Multilevel Monte Carlo Methods for Computing Posterior Expectations in Elliptic Inverse Problems",
    author = "Scheichl, R. and Stuart, A. M. and Teckentrup, A. L.",
    journal = "SIAM/ASA Journal on Uncertainty Quantification",
    volume = "5",
    number = "1",
    pages = "493-518",
    month = "April",
    year = "2017",
    doi = "https://doi.org/10.1137/16M1061692",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20161221-105527857",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/73038,
    title ="Geometric MCMC for Infinite-Dimensional Inverse Problems",
    author = "Beskos, Alexandros and Girolami, Mark and Lan, Shiwei and Farrell, Patrick E. and Stuart, Andrew M.",
    journal = "Journal of Computational Physics",
    volume = "335",
    
    pages = "327-351",
    month = "April",
    year = "2017",
    doi = "https://doi.org/10.1016/j.jcp.2016.12.041",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20161220-181119556",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/78106,
    title ="Convergence Analysis of the Ensemble Kalman Filter for Inverse Problems: the Noisy Case",
    author = "Schillings, C. and Stuart, A. M.",
    
    
    
    
    month = "February",
    year = "2017",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170612-123329512",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/73077,
    title ="Derivation and analysis of simplified filters",
    author = "Lee, Wongjung and Stuart, Andrew",
    journal = "Communications in Mathematical Sciences",
    volume = "15",
    number = "2",
    pages = "413-450",
    month = "January",
    year = "2017",
    doi = "https://doi.org/10.4310/CMS.2017.v15.n2.a6",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20161221-112623998",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/73078,
    title ="Filter Based Methods For Statistical Linear Inverse Problems",
    author = "Iglesias, Marco A. and Lin, Kui and Lu, Shuai and Stuart, Andrew M.",
    journal = "Communications in Mathematical Sciences",
    volume = "15",
    number = "7",
    pages = "1867-1896",
    month = "January",
    year = "2017",
    doi = "https://doi.org/10.4310/CMS.2017.v15.n7.a4",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20161221-113147238",
}
@book_section {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/71941,
    title ="The Bayesian Approach to Inverse Problems",
    author = "Dashti, Masoumeh and Stuart, Andrew M.",
    
    
    
    pages = "311-428",
    month = "January",
    year = "2017",
    doi = "https://doi.org/10.1007/978-3-319-12385-1_7",
    isbn = "978-3-319-12384-4",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20161111-104641272",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/73479,
    title ="The Bayesian formulation of EIT: Analysis and algorithms",
    author = "Dunlop, Matthew M. and Stuart, Andrew M.",
    journal = "Inverse Problems and Imaging",
    volume = "10",
    number = "4",
    pages = "1007-1036",
    month = "November",
    year = "2016",
    doi = "https://doi.org/10.3934/ipi.2016030",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170113-072909521",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/78122,
    title ="MAP estimators for piecewise continuous inversion",
    author = "Dunlop, M. M. and Stuart, A. M.",
    journal = "Inverse Problems",
    volume = "32",
    number = "10",
    pages = "Art. No. 105003",
    month = "October",
    year = "2016",
    doi = "https://doi.org/10.1088/0266-5611/32/10/105003",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170612-142444027",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/69069,
    title ="Filter accuracy for the Lorenz 96 model: fixed versus adaptive observation operators",
    author = "Law, K. J. H. and Sanz-Alonso, D. and Shukla, A. and Stuart, A. M.",
    journal = "Physica D: Nonlinear Phenomena",
    volume = "325",
    
    pages = "1-13",
    month = "June",
    year = "2016",
    doi = "https://doi.org/10.1016/j.physd.2015.12.008",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160715-152128338",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/71937,
    title ="Mathematics, Statistics and Data Science",
    author = "Bühlmann, Peter and Stuart, A. M.",
    journal = "EMS Newsletter",
    volume = "100",
    
    pages = "28-30",
    month = "June",
    year = "2016",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20161111-103206810",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/73040,
    title ="Gaussian approximations for transition paths in molecular dynamics",
    author = "Lu, Yulong and Stuart, Andrew M. and Weber, Hendrik",
    
    
    
    
    month = "April",
    year = "2016",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20161220-182307792",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/69073,
    title ="A Function Space HMC Algorithm With Second Order Langevin Diffusion Limit",
    author = "Ottobre, Michela and Pillai, Natesh S. and Pinski, Frank J. and Stuart, Andrew M.",
    journal = "Bernoulli",
    volume = "22",
    number = "1",
    pages = "60-106",
    month = "February",
    year = "2016",
    doi = "https://doi.org/10.3150/14-BEJ621",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160715-161420502",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/73083,
    title ="A Bayesian Level Set Method for Geometric Inverse Problems",
    author = "Iglesias, Marco A. and Lu, Yulong and Stuart, Andrew M.",
    journal = "Interfaces and Free Boundaries",
    volume = "18",
    number = "2",
    pages = "181-217",
    month = "January",
    year = "2016",
    doi = "https://doi.org/10.4171/IFB/362",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20161221-114630868",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/69075,
    title ="Long-Time Asymptotics of the Filtering Distribution for Partially Observed Chaotic Dynamical Systems",
    author = "Sanz-Alonso, Daniel and Stuart, Andrew M.",
    journal = "SIAM/ASA Journal on Uncertainty Quantification",
    volume = "3",
    number = "1",
    pages = "1200-1220",
    month = "December",
    year = "2015",
    doi = "https://doi.org/10.1137/140997336",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160715-165131732",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/69077,
    title ="Sequential Monte Carlo methods for Bayesian elliptic inverse problems",
    author = "Beskos, Alexandros and Jasra, Ajay and Muzaffer, Ege A. and Stuart, Andrew M.",
    journal = "Statistics and Computing",
    volume = "25",
    number = "4",
    pages = "727-737",
    month = "June",
    year = "2015",
    doi = "https://doi.org/10.1007/s11222-015-9556-7",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160715-172126693",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/69078,
    title ="A Multiscale Analysis of Diffusions on Rapidly Varying Surfaces",
    author = "Duncan, A. B. and Elliott, C. M. and Pavliotis, G. A. and Stuart, A. M.",
    journal = "Journal of Nonlinear Science",
    volume = "25",
    number = "2",
    pages = "389-449",
    month = "February",
    year = "2015",
    doi = "https://doi.org/10.1007/s00332-015-9237-x",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160715-172927058",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/69074,
    title ="Algorithms for Kullback--Leibler Approximation of Probability Measures in Infinite Dimensions",
    author = "Pinski, F. J. and Simpson, G. and Stuart, A. M. and Weber, H.",
    journal = "SIAM Journal on Scientific Computing",
    volume = "37",
    number = "6",
    pages = "A2733-A2757",
    month = "January",
    year = "2015",
    doi = "https://doi.org/10.1137/14098171X",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160715-163821138",
}
@book {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/71922,
    title ="Data Assimilation: A Mathematical Introduction",
    author = "Law, Kody and Stuart, Andrew and Zygalakis, Konstantinos",
    
    volume = "62",
    
    
    month = "January",
    year = "2015",
    
    isbn = "978-3-319-20325-6",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20161110-161028249",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/71940,
    title ="Data Assimilation: New Challenges in Random and Stochastic Dynamical Systems",
    author = "Reich, Sebastian and Stuart, Andrew M.",
    journal = "SIAM News",
    volume = "48",
    number = "8 & 9",
    
    month = "January",
    year = "2015",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20161111-104214792",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/69076,
    title ="Kullback-Leibler approximation for probability measures on infinite dimensional spaces",
    author = "Pinski, F. J. and Simpson, G. and Stuart, A. M. and Weber, H.",
    journal = "SIAM Journal on Mathematical Analysis",
    volume = "47",
    number = "6",
    pages = "4091-4122",
    month = "January",
    year = "2015",
    doi = "https://doi.org/10.1137/140962802",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160715-170335769",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/69116,
    title ="Spectral gaps for a Metropolis–Hastings algorithm in infinite dimensions",
    author = "Hairer, Martin and Stuart, Andrew M. and Vollmer, Sebastian",
    journal = "Annals of Applied Probability",
    volume = "24",
    number = "6",
    pages = "2455-2490",
    month = "December",
    year = "2014",
    doi = "https://doi.org/10.1214/13-AAP982",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160719-144104557",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/69112,
    title ="Well-posed Bayesian geometric inverse problems arising in subsurface flow",
    author = "Iglesias, Marco A. and Lin, Kui and Stuart, Andrew M.",
    journal = "Inverse Problems",
    volume = "30",
    number = "11",
    pages = "Art. No. 114001",
    month = "November",
    year = "2014",
    doi = "https://doi.org/10.1088/0266-5611/30/11/114001",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160719-114834043",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/69115,
    title ="Well-posedness and accuracy of the ensemble Kalman filter in discrete and continuous time",
    author = "Kelly, D. B. T. and Law, K. J. H. and Stuart, A. M.",
    journal = "Nonlinearity",
    volume = "27",
    number = "10",
    pages = "2579-2603",
    month = "October",
    year = "2014",
    doi = "https://doi.org/10.1088/0951-7715/27/10/2579",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160719-143029648",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/69114,
    title ="Analysis of the Gibbs Sampler for Hierarchical Inverse Problems",
    author = "Agapiou, Sergios and Bardsley, Jonathan M. and Papaspiliopoulos, Omiros and Stuart, Andrew M.",
    journal = "SIAM/ASA Journal on Uncertainty Quantification",
    volume = "2",
    number = "1",
    pages = "511-544",
    month = "September",
    year = "2014",
    doi = "https://doi.org/10.1137/130944229",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160719-141859444",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/69119,
    title ="Bayesian posterior contraction rates for linear severely ill-posed inverse problems",
    author = "Agapiou, Sergios and Stuart, Andrew M. and Zhang, Yuan-Xiang",
    journal = "Journal of Inverse and Ill-posed Problems",
    volume = "22",
    number = "3",
    pages = "297-321",
    month = "June",
    year = "2014",
    doi = "https://doi.org/10.1515/jip-2012-0071",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160719-151308932",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/69118,
    title ="Determining white noise forcing from Eulerian observations in the Navier-Stokes equation",
    author = "Hoang, Viet Ha and Law, Kody J. H. and Stuart, Andrew M.",
    journal = "Stochastic Partial Differential Equations: Analysis and Computations",
    volume = "2",
    number = "2",
    pages = "233-261",
    month = "June",
    year = "2014",
    doi = "https://doi.org/10.1007/s40072-014-0028-4",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160719-150657732",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/69117,
    title ="Noisy gradient flow from a random walk in Hilbert space",
    author = "Pillai, Natesh S. and Stuart, Andrew M. and Thiéry, Alexandre H.",
    journal = "Stochastic Partial Differential Equations: Analysis and Computations",
    volume = "2",
    number = "2",
    pages = "196-232",
    month = "June",
    year = "2014",
    doi = "https://doi.org/10.1007/s40072-014-0029-3",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160719-145056000",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/69120,
    title ="Analysis of the 3DVAR filter for the partially observed Lorenz'63 model",
    author = "Law, Kody and Shukla, Abishek and Stuart, Andrew",
    journal = "Discrete and Continuous Dynamical Systems A",
    volume = "34",
    number = "3",
    pages = "1061-1078",
    month = "March",
    year = "2014",
    doi = "https://doi.org/10.3934/dcds.2014.34.1061",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160719-152032603",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/71943,
    title ="Inverse Problems and Uncertainty Quantification",
    author = "Iglesias, Marco and Stuart, Andrew M.",
    journal = "SIAM News",
    
    
    pages = "2-3",
    month = "January",
    year = "2014",
    
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20161111-105218524",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/69235,
    title ="Optimal tuning of the hybrid Monte Carlo algorithm",
    author = "Beskos, Alexandros and Pillai, Natesh and Roberts, Gareth and Sanz-Serna, Jesus-Maria and Stuart, Andrew",
    journal = "Bernoulli",
    volume = "19",
    number = "5A",
    pages = "1501-1534",
    month = "November",
    year = "2013",
    doi = "https://doi.org/10.3150/12-BEJ414",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160726-155502558",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/69263,
    title ="Posterior contraction rates for the Bayesian approach to linear ill-posed inverse problems",
    author = "Agapiou, Sergios and Larsson, Stig and Stuart, Andrew M.",
    journal = "Stochastic Processes and their Applications",
    volume = "123",
    number = "10",
    pages = "3828-3860",
    month = "October",
    year = "2013",
    doi = "https://doi.org/10.1016/j.spa.2013.05.001",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160727-163931558",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/69260,
    title ="MAP estimators and their consistency in Bayesian nonparametric inverse problems",
    author = "Dashti, M. and Law, K. J. H. and Stuart, A. M. and Voss, J.",
    journal = "Inverse Problems",
    volume = "29",
    number = "9",
    pages = "Art. No. 095017",
    month = "September",
    year = "2013",
    doi = "https://doi.org/10.1088/0266-5611/29/9/095017",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160727-154930631",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/69261,
    title ="MCMC Methods for Functions: Modifying Old Algorithms to Make Them Faster",
    author = "Cotter, S. L. and Roberts, G. O. and Stuart, A. M. and White, D.",
    journal = "Statistical Science",
    volume = "28",
    number = "3",
    pages = "424-446",
    month = "August",
    year = "2013",
    doi = "https://doi.org/10.1214/13-STS421",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160727-155941152",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/69262,
    title ="Complexity analysis of accelerated MCMC methods for Bayesian inversion",
    author = "Hoang, Viet Ha and Schwab, Christoph and Stuart, Andrew M.",
    journal = "Inverse Problems",
    volume = "29",
    number = "8",
    pages = "Art No. 085010",
    month = "August",
    year = "2013",
    doi = "https://doi.org/10.1088/0266-5611/29/8/085010",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160727-163339156",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/69230,
    title ="Accuracy and stability of the continuous-time 3DVAR filter for the Navier–Stokes equation",
    author = "Blömker, D. and Law, K. and Stuart, A. M. and Zygalakis, K. C.",
    journal = "Nonlinearity",
    volume = "26",
    number = "8",
    pages = "2193-2219",
    month = "August",
    year = "2013",
    doi = "https://doi.org/10.1088/0951-7715/26/8/2193",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160726-141854847",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/69259,
    title ="Evaluation of Gaussian approximations for data assimilation in reservoir models",
    author = "Iglesias, Marco A. and Law, Kody and Stuart, Andrew M.",
    journal = "Computational Geosciences",
    volume = "17",
    number = "5",
    pages = "851-885",
    month = "July",
    year = "2013",
    doi = "https://doi.org/10.1007/s10596-013-9359-x",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160727-153428298",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/69265,
    title ="Ensemble Kalman methods for inverse problems",
    author = "Iglesias, Marco A. and Law, Kody J. H. and Stuart, Andrew M.",
    journal = "Inverse Problems",
    volume = "29",
    number = "4",
    pages = "Art. No. 045001",
    month = "April",
    year = "2013",
    doi = "https://doi.org/10.1088/0266-5611/29/4/045001",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160727-180147046",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/69266,
    title ="Accuracy and stability of filters for dissipative PDEs",
    author = "Brett, C. E. A. and Lam, K. F. and Law, K. J. H. and McCormick, D. S. and Scott, M. R. and Stuart, A. M.",
    journal = "Physica D: Nonlinear Phenomena",
    volume = "245",
    number = "1",
    pages = "34-35",
    month = "February",
    year = "2013",
    doi = "https://doi.org/10.1016/j.physd.2012.11.005",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160727-180601953",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/69264,
    title ="Posterior consistency via precision operators for Bayesian nonparametric drift estimation in SDEs",
    author = "Pokern, Y. and Stuart, A. M. and van Zanten, J. H.",
    journal = "Stochastic Processes and their Applications",
    volume = "123",
    number = "2",
    pages = "603-628",
    month = "February",
    year = "2013",
    doi = "https://doi.org/10.1016/j.spa.2012.08.010",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160727-175235615",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/69288,
    title ="Optimal scaling and diffusion limits for the Langevin algorithm in high dimensions",
    author = "Pillai, Natesh S. and Stuart, Andrew M. and Thiéry, Alexandre H.",
    journal = "Annals of Applied Probability",
    volume = "22",
    number = "6",
    pages = "2320-2356",
    month = "December",
    year = "2012",
    doi = "https://doi.org/10.1214/11-AAP828",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160728-150141693",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/69289,
    title ="Evaluating Data Assimilation Algorithms",
    author = "Law, K. J. H. and Stuart, A. M.",
    journal = "Monthly Weather Review",
    volume = "140",
    
    pages = "3757-3782",
    month = "November",
    year = "2012",
    doi = "https://doi.org/10.1175/MWR-D-11-00257.1",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160728-150615482",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/69292,
    title ="Nonparametric estimation of diffusions: a differential equations approach",
    author = "Papaspiliopoulos, Omiros and Pokern, Yvo and Roberts, Gareth O. and Stuart, Andrew M.",
    journal = "Biometrika",
    volume = "99",
    number = "3",
    pages = "511-531",
    month = "September",
    year = "2012",
    doi = "https://doi.org/ 10.1093/biomet/ass034",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160728-152807075",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/69294,
    title ="Diffusion limits of the random walk Metropolis algorithm in high dimensions",
    author = "Mattingly, Jonathan C. and Pillai, Natesh S. and Stuart, Andrew M.",
    journal = "Annals of Applied Probability",
    volume = "22",
    number = "3",
    pages = "881-930",
    month = "May",
    year = "2012",
    doi = "https://doi.org/10.1214/10-AAP754",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160728-154635836",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/69293,
    title ="Besov priors for Bayesian inverse problems",
    author = "Dashti, Masoumeh and Harris, Stephen J. and Stuart, Andrew",
    journal = "Inverse Problems and Imaging",
    volume = "6",
    number = "2",
    pages = "183-200",
    month = "May",
    year = "2012",
    doi = "https://doi.org/10.3934/ipi.2012.6.183",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160728-153255881",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/69295,
    title ="Sparse determinisitc approximation of Bayesian inverse problems",
    author = "Schwab, C. and Stuart, A. M.",
    journal = "Inverse Problems",
    volume = "28",
    number = "4",
    pages = "Art. No. 045003",
    month = "April",
    year = "2012",
    doi = "https://doi.org/10.1088/0266-5611/28/4/045003",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160728-155039916",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/69296,
    title ="Γ-Limit for Transition Paths of Maximal Probability",
    author = "Pinski, F. J. and Stuart, A. M. and Theil, F.",
    journal = "Journal of Statistical Physics",
    volume = "146",
    number = "5",
    pages = "955-974",
    month = "March",
    year = "2012",
    doi = "https://doi.org/10.1007/s10955-012-0443-8",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160728-155454420",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/69297,
    title ="Variational data assimilation using targetted random walks",
    author = "Cotter, S. L. and Dashti, M. and Stuart, A. M.",
    journal = "International Journal for Numerical Methods in Fluids",
    volume = "68",
    number = "4",
    pages = "403-421",
    month = "February",
    year = "2012",
    doi = "https://doi.org/10.1002/fld.2510",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160728-160352524",
}
@book_section {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/71945,
    title ="Parameter estimation for multiscale diffusions: an overview",
    author = "Pavliotis, Grigorios A. and Pokern, Yvo and Stuart, Andrew M.",
    
    
    
    pages = "429-472",
    month = "January",
    year = "2012",
    
    isbn = "978-1-4398-4940-8",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20161111-105740878",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/69298,
    title ="Uncertainty Quantification and Weak Approximation of an Elliptic Inverse Problem",
    author = "Dashti, M. and Stuart, A. M.",
    journal = "SIAM Journal on Numerical Analysis",
    volume = "49",
    number = "6",
    pages = "2524-2542",
    month = "December",
    year = "2011",
    doi = "https://doi.org/10.1137/100814664",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160728-160946614",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/78137,
    title ="Stability of Filters for the Navier-Stokes Equation",
    author = "Brett, C. E. A. and Lam, K. F. and Law, K. J. H. and McCormick, D. S. and Scott, M. R. and Stuart, A. M.",
    
    
    
    
    month = "October",
    year = "2011",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170613-070159561",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/69451,
    title ="Hybrid Monte Carlo on Hilbert spaces",
    author = "Beskos, A. and Pinski, F. J. and Sanz-Serna, J. M. and Stuart, A. M.",
    journal = "Stochastic Processes and their Applications",
    volume = "121",
    number = "10",
    pages = "2201-2230",
    month = "October",
    year = "2011",
    doi = "https://doi.org/10.1016/j.spa.2011.06.003",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160804-150437807",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/69369,
    title ="Kalman filtering and smoothing for linear wave equations with model error",
    author = "Lee, Wonjung and McDougall, D. and Stuart, A. M.",
    journal = "Inverse Problems",
    volume = "27",
    number = "9",
    pages = "Art. No. 095008",
    month = "September",
    year = "2011",
    doi = "https://doi.org/10.1088/0266-5611/27/9/095008",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160801-175538072",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/69455,
    title ="A note on diffusion limits of chaotic skew-product flows",
    author = "Melbourne, I. and Stuart, A. M.",
    journal = "Nonlinearity",
    volume = "24",
    number = "4",
    pages = "1361-1367",
    month = "April",
    year = "2011",
    doi = "https://doi.org/10.1088/0951-7715/24/4/018",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160804-164518594",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/69454,
    title ="Sampling conditioned hypoelliptic diffusions",
    author = "Hairer, Martin and Stuart, Andrew M. and Voss, Jochen",
    journal = "Annals of Applied Probability",
    volume = "21",
    number = "2",
    pages = "669-698",
    month = "April",
    year = "2011",
    doi = "https://doi.org/10.1214/10-AAP708",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160804-162713014",
}
@book_section {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/71948,
    title ="Signal processing problems on function space: Bayesian formulation, stochastic PDEs and effective MCMC methods",
    author = "Hairer, M. and Stuart, A. M. and Voss, J.",
    
    
    
    pages = "833-873",
    month = "March",
    year = "2011",
    
    isbn = "9780199532902",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20161111-111346824",
}
@book_section {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/71946,
    title ="Multiscale modelling and inverse problems",
    author = "Nolen, James and Pavliotis, Grigorios A. and Stuart, Andrew M.",
    
    
    number = "83",
    pages = "1-34",
    month = "January",
    year = "2011",
    
    isbn = "978-3-642-22061-6",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20161111-110328030",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/78084,
    title ="Random-weight particle filtering of continuous time processes",
    author = "Fearnhead, Paul and Papaspiliopoulos, Omiros and Roberts, Gareth O. and Stuart, Andrew",
    journal = "Journal of the Royal Statistical Society: Series B",
    volume = "72",
    number = "4",
    pages = "497-512",
    month = "September",
    year = "2010",
    doi = "https://doi.org/10.1111/j.1467-9868.2010.00744.x",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170612-075052519",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/69456,
    title ="Random-weight particle filtering of continuous time processes",
    author = "Fearnhead, Paul and Papaspiliopoulos, Omiros and Roberts, Gareth O. and Stuart, Andrew",
    journal = "Statistical Methodology",
    volume = "72",
    number = "4",
    pages = "497-512",
    month = "July",
    year = "2010",
    doi = "https://doi.org/10.1111/j.1467-9868.2010.00744.x",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160804-164847166",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/71834,
    title ="Transition paths in molecules at finite temperature",
    author = "Pinski, F. J. and Stuart, A. M.",
    journal = "Journal of Chemical Physics",
    volume = "132",
    number = "18",
    pages = "Art. No. 184104",
    month = "May",
    year = "2010",
    doi = "https://doi.org/10.1063/1.3391160",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20161108-161530502",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/69457,
    title ="Convergence of numerical time-averaging and stationary measures via Poisson equations",
    author = "Mattingly, J. C. and Stuart, A. M. and Tretyakov, M.",
    journal = "SIAM Journal of Numerical Analysis",
    volume = "48",
    number = "2",
    pages = "552-577",
    month = "May",
    year = "2010",
    doi = "https://doi.org/10.1137/090770527",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160804-165401982",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/71949,
    title ="Inverse problems: A Bayesian perspective",
    author = "Stuart, A. M.",
    journal = "Acta Numerica",
    volume = "19",
    
    pages = "451-559",
    month = "May",
    year = "2010",
    doi = "https://doi.org/10.1017/S0962492910000061",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20161111-112136150",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/69458,
    title ="Approximation of Bayesian Inverse Problems for PDEs",
    author = "Cotter, S. L. and Dashti, M. and Stuart, A. M.",
    journal = "SIAM Journal on Numerical Analysis",
    volume = "48",
    number = "1",
    pages = "322-345",
    month = "April",
    year = "2010",
    doi = "https://doi.org/10.1137/090770734",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160804-170531840",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/69483,
    title ="Bayesian inverse problems for functions and applications to fluid mechanics",
    author = "Cotter, S. L. and Dashti, M. and Robinson, J. C. and Stuart, A. M.",
    journal = "Inverse Problems",
    volume = "25",
    number = "11",
    pages = "Art. No 115008",
    month = "November",
    year = "2009",
    doi = "https://doi.org/10.1088/0266-5611/25/11/115008",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160805-151904215",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/69484,
    title ="Remarks on Drift Estimation for Diffusion Processes",
    author = "Pokern, Yvo and Stuart, Andrew M. and Vanden-Eijnden, Eric",
    journal = "Multiscale Modeling and Simulation",
    volume = "8",
    number = "1",
    pages = "69-95",
    month = "October",
    year = "2009",
    doi = "https://doi.org/10.1137/070694806",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160805-152349945",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/69486,
    title ="Maximum likelihood drift estimation for multiscale diffusions",
    author = "Papavasiliou, A. and Pavliotis, G. A. and Stuart, A. M.",
    journal = "Stochastic Processes and their Applications",
    volume = "119",
    number = "10",
    pages = "3173-3210",
    month = "October",
    year = "2009",
    doi = "https://doi.org/10.1016/j.spa.2009.05.003",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160805-153633492",
}
@book {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/71920,
    title ="Matrix Analysis and Algorithms",
    author = "Stuart, Andrew and Voss, Jochen",
    
    
    
    
    month = "August",
    year = "2009",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20161110-160355297",
}
@book_section {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/78094,
    title ="MCMC methods for sampling function space",
    author = "Beskos, Alexandros and Stuart, Andrew",
    
    
    
    pages = "337-364",
    month = "June",
    year = "2009",
    doi = "https://doi.org/10.4171/056-1/16",
    isbn = "978-3-03719-056-2",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170612-093904953",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/69485,
    title ="Optimal scalings for local Metropolis–Hastings chains on nonproduct targets in high dimensions",
    author = "Beskos, Alexandros and Roberts, Gareth and Stuart, Andrew",
    journal = "Annals of Applied Probability",
    volume = "19",
    number = "3",
    pages = "863-898",
    month = "June",
    year = "2009",
    doi = "https://doi.org/10.1214/08-AAP563",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160805-153017689",
}
@book_section {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/78188,
    title ="Sampling conditioned diffusions",
    author = "Hairer, Martin and Stuart, Andrew and Voss, Jochen",
    
    
    number = "353",
    pages = "159-186",
    month = "March",
    year = "2009",
    doi = "https://doi.org/10.1017/CBO9781139107020.009",
    isbn = "9781139107020",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170614-080019284",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/69494,
    title ="Calculating effective diffusivities in the limit of vanishing molecular diffusion",
    author = "Pavliotis, G. A. and Stuart, A. M. and Zygalakis, K. C.",
    journal = "Journal of Computational Physics",
    volume = "288",
    number = "4",
    pages = "1030-1055",
    month = "March",
    year = "2009",
    doi = "https://doi.org/10.1016/j.jcp.2008.10.014",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160805-155749338",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/71840,
    title ="Parameter estimation for partially observed hypo-elliptic diffusions",
    author = "Pokern, Yvo and Stuart, Andrew M. and Wiberg, Petter",
    journal = "Journal of the Royal Society: Series B (Statistical Methodology)",
    volume = "71",
    number = "1",
    pages = "49-73",
    month = "January",
    year = "2009",
    doi = "https://doi.org/10.1111/j.1467-9868.2008.00689.x",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20161108-165631300",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/69492,
    title ="Parameter estimation for partially observed hypoelliptic diffusions",
    author = "Pokern, Yvo and Stuart, Andrew M. and Wiberg, Petter",
    journal = "Statistical Methodology",
    volume = "71",
    number = "1",
    pages = "49-73",
    month = "January",
    year = "2009",
    doi = "https://doi.org/10.1111/j.1467-9868.2008.00689.x",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160805-155341773",
}
@book_section {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/78099,
    title ="Computational Complexity of Metropolis-Hastings Methods in High Dimensions",
    author = "Beskos, Alexandros and Stuart, Andrew",
    
    
    
    pages = "61-71",
    month = "January",
    year = "2009",
    doi = "https://doi.org/10.1007/978-3-642-04107-5_4",
    isbn = "978-3-642-04106-8",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170612-102025036",
}
@book_section {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/71950,
    title ="Green’s Functions by Monte Carlo",
    author = "White, David and Stuart, Andrew",
    
    
    
    pages = "627-636",
    month = "January",
    year = "2009",
    
    isbn = "978-3-642-04106-8",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20161111-113156226",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/69496,
    title ="MCMC Methods for Diffusion Bridges",
    author = "Beskos, Alexandros and Roberts, Gareth and Stuart, Andrew and Voss, Jochen",
    journal = "Stochastics and Dynamics",
    volume = "8",
    number = "3",
    pages = "319-350",
    month = "September",
    year = "2008",
    doi = "https://doi.org/http://dx.doi.org/10.1142/S0219493708002378",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160805-165106874",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/69497,
    title ="Data assimilation: Mathematical and statistical perspectives",
    author = "Apte, A. and Jones, C. K. R. T. and Stuart, A. M. and Voss, J.",
    journal = "International Journal for Numerical Methods in Fluids",
    volume = "56",
    number = "8",
    pages = "1033-1046",
    month = "March",
    year = "2008",
    doi = "https://doi.org/10.1002/fld.1698",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160805-165730529",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/71845,
    title ="A Bayesian approach to Lagrangian data assimilation",
    author = "Apte, A. and Jones, C. K. R. T. and Stuart, A. M.",
    journal = "Tellus A",
    volume = "60",
    number = "2",
    pages = "336-347",
    month = "March",
    year = "2008",
    doi = "https://doi.org/10.1111/j.1600-0870.2007.00295.x",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20161108-173409695",
}
@book {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/71924,
    title ="A First Course in Continuum Mechanics",
    author = "Gonzalez, Oscar and Stuart, Andrew M.",
    
    volume = "42",
    
    
    month = "February",
    year = "2008",
    
    isbn = "9780521714242",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20161110-163303162",
}
@book {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/71923,
    title ="Multiscale Methods: Averaging and Homogenization",
    author = "Pavliotis, Grigorios A. and Stuart, Andrew M.",
    
    volume = "53",
    
    
    month = "January",
    year = "2008",
    
    isbn = "978-0-387-73829-1",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20161110-162102417",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/78114,
    title ="An adaptive Euler-Maruyama scheme for SDEs: convergence and stability",
    author = "Lamba, H. and Mattingly, J. C. and Stuart, A. M.",
    journal = "IMA Journal of Numerical Analysis",
    volume = "27",
    number = "3",
    pages = "479-506",
    month = "July",
    year = "2007",
    doi = "https://doi.org/10.1093/imanum/drl032",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170612-132345468",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/78062,
    title ="Sampling the posterior: An approach to non-Gaussian data assimilation",
    author = "Apte, A. and Hairer, M. and Stuart, A. M. and Voss, J.",
    journal = "Physica D",
    volume = "230",
    number = "1-2",
    pages = "50-64",
    month = "June",
    year = "2007",
    doi = "https://doi.org/10.1016/j.physd.2006.06.009",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170609-130839195",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/78163,
    title ="Parameter Estimation for Multiscale Diffusions",
    author = "Pavliotis, G. A. and Stuart, A. M.",
    journal = "Journal of Statistical Physics",
    volume = "127",
    number = "4",
    pages = "741-781",
    month = "May",
    year = "2007",
    doi = "https://doi.org/10.1007/s10955-007-9300-6",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170613-124705885",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/78140,
    title ="Analysis of SPDEs arising in path sampling part II: The nonlinear case",
    author = "Hairer, M. and Stuart, A. M. and Voss, J.",
    journal = "Annals of Applied Probability",
    volume = "17",
    number = "5/6",
    pages = "1657-1706",
    month = "January",
    year = "2007",
    doi = "https://doi.org/10.1214/07-AAP441",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170613-080132206",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/71847,
    title ="Homogenization for inertial particles in a random flow",
    author = "Pavliotis, G. A. and Stuart, A. M. and Zygalakis, K. C.",
    journal = "Communications in Mathematical Sciences",
    volume = "5",
    number = "3",
    pages = "507-531",
    month = "January",
    year = "2007",
    doi = "https://doi.org/10.4310/CMS.2007.v5.n3.a1",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20161108-174342361",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/78110,
    title ="The Moment Map: Nonlinear Dynamics of Density Evolution via a Few Moments",
    author = "Barkley, D. and Kevrekidis, I. G. and Stuart, A. M.",
    journal = "SIAM Journal on Applied Dynamical Systems",
    volume = "5",
    number = "3",
    pages = "403-434",
    month = "July",
    year = "2006",
    doi = "https://doi.org/10.1137/050638667",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170612-131025773",
}
@book_section {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/78172,
    title ="Monte Carlo Studies of Effective Diffusivities for Inertial Particles",
    author = "Pavliotis, G. A. and Stuart, A. M. and Band, L.",
    
    
    
    pages = "431-441",
    month = "January",
    year = "2006",
    doi = "https://doi.org/10.1007/3-540-31186-6_26",
    isbn = "978-3-540-25541-3",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170613-140425580",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/78109,
    title ="Analysis of White Noise Limits for Stochastic Systems with Two Fast Relaxation Times",
    author = "Pavliotis, G. A. and Stuart, A. M.",
    journal = "Multiscale Modeling and Simulation",
    volume = "4",
    number = "1",
    pages = "1-35",
    month = "June",
    year = "2005",
    doi = "https://doi.org/10.1137/040610507",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170612-130002475",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/78068,
    title ="Periodic homogenization for inertial particles",
    author = "Pavliotis, G. A. and Stuart, A. M.",
    journal = "Physica D",
    volume = "204",
    number = "3-4",
    pages = "161-187",
    month = "May",
    year = "2005",
    doi = "https://doi.org/10.1016/j.physd.2005.04.011",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170609-143518545",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/78121,
    title ="Analysis of SPDEs arising in path sampling. Part I: The Gaussian case",
    author = "Hairer, M. and Stuart, A. M. and Voss, J. and Wiberg, P.",
    journal = "Communications in Mathematical Sciences",
    volume = "3",
    number = "4",
    pages = "587-603",
    month = "January",
    year = "2005",
    doi = "https://doi.org/10.4310/CMS.2005.v3.n4.a8",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170612-141658808",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/78067,
    title ="Fitting SDE models to nonlinear Kac–Zwanzig heat bath models",
    author = "Kupferman, R. and Stuart, A. M.",
    journal = "Physica D",
    volume = "199",
    number = "3-4",
    pages = "279-316",
    month = "December",
    year = "2004",
    doi = "https://doi.org/10.1016/j.physd.2004.04.011",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170609-143006730",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/78125,
    title ="Conditional Path Sampling of SDEs and the Langevin MCMC Method",
    author = "Stuart, Andrew M. and Voss, Jochen and Wilberg, Petter",
    journal = "Communications in Mathematical Sciences",
    volume = "2",
    number = "4",
    pages = "685-697",
    month = "December",
    year = "2004",
    doi = "https://doi.org/10.4310/CMS.2004.v2.n4.a7",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170612-144819276",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/78071,
    title ="Extracting macroscopic dynamics: model problems and algorithms",
    author = "Givon, Dror and Kupferman, Raz and Stuart, Andrew",
    journal = "Nonlinearity",
    volume = "17",
    number = "6",
    pages = "R55-R127",
    month = "November",
    year = "2004",
    doi = "https://doi.org/10.1088/0951-7715/17/6/R01",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170609-153344149",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/78112,
    title ="Itô versus Stratonovich white-noise limits for systems with inertia and colored multiplicative noise",
    author = "Kupferman, R. and Pavliotis, G. A. and Stuart, A. M.",
    journal = "Physical Review E",
    volume = "70",
    number = "3",
    pages = "Art. No. 036120",
    month = "September",
    year = "2004",
    doi = "https://doi.org/10.1103/PhysRevE.70.036120",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170612-132002885",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/78076,
    title ="White Noise Limits for Inertial Particles in a Random Field",
    author = "Pavliotis, G. A. and Stuart, A. M.",
    journal = "Multiscale Modeling and Simulation",
    volume = "1",
    number = "4",
    pages = "527-553",
    month = "October",
    year = "2003",
    doi = "https://doi.org/10.1137/S1540345903421076",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170609-165633126",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/78069,
    title ="Extracting macroscopic stochastic dynamics: Model problems",
    author = "Huisinga, Wilhelm and Schütte, Christof and Stuart, Andrew M.",
    journal = "Communications on Pure and Applied Mathematics",
    volume = "56",
    number = "2",
    pages = "234-269",
    month = "February",
    year = "2003",
    doi = "https://doi.org/10.1002/cpa.10057",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170609-144239769",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/78115,
    title ="Exponential Mean-Square Stability of Numerical Solutions to Stochastic Differential Equations",
    author = "Higham, Desmond J. and Mao, Xuerong and Stuart, Andrew M.",
    journal = "LMS Journal of Computation and Mathematics",
    volume = "6",
    
    pages = "297-313",
    month = "January",
    year = "2003",
    doi = "https://doi.org/10.1112/S1461157000000462",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170612-133950435",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/78081,
    title ="Long-Term Behavior of Large Mechanical Systems with Random Initial Data",
    author = "Kupferman, R. and Stuart, A. M. and Terry, J. R. and Tupper, P. F.",
    journal = "Stochastics and Dynamics",
    volume = "02",
    number = "04",
    pages = "533-562",
    month = "December",
    year = "2002",
    doi = "https://doi.org/10.1142/S0219493702000571",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170612-072429575",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/78070,
    title ="A model for preferential concentration",
    author = "Sigurgeirsson, H. and Stuart, A. M.",
    journal = "Physics of Fluids",
    volume = "14",
    number = "12",
    pages = "4352-4361",
    month = "November",
    year = "2002",
    doi = "https://doi.org/10.1063/1.1517603",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170609-152746245",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/78060,
    title ="Ergodicity for SDEs and approximations: locally Lipschitz vector fields and degenerate noise",
    author = "Mattingly, J. C. and Stuart, A. M. and Higham, D. J.",
    journal = "Stochastic Processes and their Applications",
    volume = "101",
    number = "2",
    pages = "185-232",
    month = "October",
    year = "2002",
    doi = "https://doi.org/10.1016/S0304-4149(02)00150-3",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170609-125050787",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/78170,
    title ="Strong Convergence of Euler-Type Methods for Nonlinear Stochastic Differential Equations",
    author = "Higham, Desmond J. and Mao, Xuerong and Stuart, Andrew M.",
    journal = "SIAM Journal on Numerical Analysis",
    volume = "40",
    number = "3",
    pages = "1041-1063",
    month = "July",
    year = "2002",
    doi = "https://doi.org/10.1137/S0036142901389530",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170613-133526351",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/78075,
    title ="The dynamical behavior of the discontinuous Galerkin method and related difference schemes",
    author = "Estep, Donald J. and Stuart, Andrew M.",
    journal = "Mathematics of Computation",
    volume = "71",
    number = "239",
    pages = "1075-1103",
    month = "July",
    year = "2002",
    doi = "https://doi.org/10.1090/S0025-5718-01-01364-3",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170609-164822143",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/78083,
    title ="Inertial Particles in a Random Field",
    author = "Sigurgeirsson, H. and Stuart, A. M.",
    journal = "Stochastics and Dynamics",
    volume = "02",
    number = "02",
    pages = "295-310",
    month = "June",
    year = "2002",
    doi = "https://doi.org/10.1142/S021949370200042X",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170612-073927763",
}
@book_section {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/78165,
    title ="Deterministic and random dynamical systems: theory and numerics",
    author = "Humphries, A. R. and Stuart, A. M.",
    
    
    number = "75",
    pages = "211-254",
    month = "January",
    year = "2002",
    doi = "https://doi.org/10.1007/978-94-010-0510-4_6",
    isbn = "978-1-4020-0782-8",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170613-125750895",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/78164,
    title ="Geometric Ergodicity of Some Hypo-Elliptic Diffusions for Particle Motions",
    author = "Mattingly, J. C. and Stuart, A. M.",
    journal = "Markov Processes And Related Fields",
    volume = "8",
    number = "2",
    pages = "199-214",
    month = "January",
    year = "2002",
    
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170613-125012320",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/78077,
    title ="Algorithms for Particle-Field Simulations with Collisions",
    author = "Sigurgeirsson, Hersir and Stuart, Andrew and Wan, Wing-Lok",
    journal = "Journal of Computational Physics",
    volume = "172",
    number = "2",
    pages = "766-807",
    month = "September",
    year = "2001",
    doi = "https://doi.org/10.1006/jcph.2001.6858",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170612-063817274",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/78063,
    title ="Underresolved Simulations of Heat Baths",
    author = "Cano, B. and Stuart, A. M.",
    journal = "Journal of Computational Physics",
    volume = "169",
    number = "1",
    pages = "193-214",
    month = "May",
    year = "2001",
    doi = "https://doi.org/10.1006/jcph.2001.6722",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170609-132504945",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/78166,
    title ="Stiff Oscillatory Systems, Delta Jumps and White Noise",
    author = "Cano, B. and Stuart, A. M. and Süli, E. and Warren, J. O.",
    journal = "Foundations of Computational Mathematics",
    volume = "1",
    number = "1",
    pages = "69-100",
    month = "January",
    year = "2001",
    doi = "https://doi.org/10.1007/s10208001002",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170613-130016747",
}
@book_section {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/78187,
    title ="Statistics From Computations",
    author = "Sigurgeirsson, Hersir and Stuart, A. M.",
    
    
    number = "284",
    pages = "323-344",
    month = "January",
    year = "2001",
    
    isbn = "978-0-521-00349-0",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170614-073434784",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/78141,
    title ="A Perturbation Theory for Ergodic Markov Chains and Application to Numerical Approximations",
    author = "Shardlow, T. and Stuart, A. M.",
    journal = "SIAM Journal on Numerical Analysis",
    volume = "37",
    number = "4",
    pages = "1120-1137",
    month = "March",
    year = "2000",
    doi = "https://doi.org/10.1137/S0036142998337235",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170613-080747440",
}
@book_section {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/78174,
    title ="Convergence Proofs for Numerical IVP Software",
    author = "Lamba, Harbir and Stuart, Andrew",
    
    
    number = "118",
    pages = "107-125",
    month = "January",
    year = "2000",
    doi = "https://doi.org/10.1007/978-1-4612-1274-4_6",
    isbn = "9781461270737",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170613-142949630",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/78073,
    title ="Analysis and Experiments for a Computational Model of a Heat Bath",
    author = "Stuart, A. M. and Warren, J. O.",
    journal = "Journal of Statistical Physics",
    volume = "97",
    number = "3/4",
    pages = "687-723",
    month = "November",
    year = "1999",
    doi = "https://doi.org/10.1023/A:1004667325896",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170609-161129844",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/78059,
    title ="Ergodicity of Dissipative Differential Equations Subject to Random Impulses",
    author = "Sanz-Serna, J. M. and Stuart, A. M.",
    journal = "Journal of Differential Equations",
    volume = "155",
    number = "2",
    pages = "262-284",
    month = "July",
    year = "1999",
    doi = "https://doi.org/10.1006/jdeq.1998.3594",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170609-124028394",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/78074,
    title ="Qualitative properties of modified equations",
    author = "Gonzalez, O. and Higham, D. J. and Stuart, A. M.",
    journal = "IMA Journal of Numerical Analysis",
    volume = "19",
    number = "2",
    pages = "169-190",
    month = "April",
    year = "1999",
    doi = "https://doi.org/10.1093/imanum/19.2.169",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170609-164025962",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/78072,
    title ="Convergence results for the MATLAB ODE23 routine",
    author = "Lamba, H. and Stuart, A. M.",
    journal = "BIT Numerical Mathematics",
    volume = "38",
    number = "4",
    pages = "751-780",
    month = "December",
    year = "1998",
    doi = "https://doi.org/10.1007/BF02510413",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170609-154149149",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/78116,
    title ="Space-Time Continuous Analysis of Waveform Relaxation for the Heat Equation",
    author = "Gander, Martin J. and Stuart, Andrew M.",
    journal = "SIAM Journal on Scientific Computing",
    volume = "19",
    number = "6",
    pages = "2014-2031",
    month = "November",
    year = "1998",
    doi = "https://doi.org/10.1137/S1064827596305337",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170612-134545090",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/78124,
    title ="On the Solution of Convection-Diffusion Boundary Value Problems Using Equidistributed Grids",
    author = "Budd, C. J. and Koomullil, G. P. and Stuart, A. M.",
    journal = "SIAM Journal on Scientific Computing",
    volume = "20",
    number = "2",
    pages = "591-618",
    month = "September",
    year = "1998",
    doi = "https://doi.org/10.1137/S1064827595280454",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170612-143618623",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/78058,
    title ="Persistence of Invariant Sets for Dissipative Evolution Equations",
    author = "Jones, Don A. and Stuart, Andrew M. and Titi, Edriss S.",
    journal = "Journal of Mathematical Analysis and Applictions",
    volume = "219",
    number = "2",
    pages = "479-502",
    month = "March",
    year = "1998",
    doi = "https://doi.org/10.1006/jmaa.1997.5847",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170609-123316540",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/78160,
    title ="Analysis of the dynamics of local error control via a piecewise continuous residual",
    author = "Higham, D. J. and Stuart, A. M.",
    journal = "BIT Numerical Mathematics",
    volume = "38",
    number = "1",
    pages = "44-57",
    month = "March",
    year = "1998",
    doi = "https://doi.org/10.1007/BF02510916",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170613-110046810",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/78126,
    title ="Waveform relaxation as a dynamical system",
    author = "Bjørhus, Morten and Stuart, Andrew M.",
    journal = "Mathematics of Computation",
    volume = "66",
    number = "219",
    pages = "1101-1118",
    month = "July",
    year = "1997",
    doi = "https://doi.org/10.1090/S0025-5718-97-00847-8 ",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170612-145717225",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/78168,
    title ="Probabilistic and deterministic convergence proofs for\r software for initial value problems",
    author = "Stuart, A. M.",
    journal = "Numerical Algorithms",
    volume = "14",
    number = "1/3",
    pages = "227-260",
    month = "April",
    year = "1997",
    doi = "https://doi.org/10.1023/A:1019169114976",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170613-132616648",
}
@book_section {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/78173,
    title ="Convergence and stability in the numerical approximation of\r dynamical systems",
    author = "Stuart, Andrew",
    
    
    
    pages = "145-169",
    month = "January",
    year = "1997",
    
    
    isbn = "9780198500148",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170613-141546199",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/78061,
    title ="Viscous Cahn–Hilliard Equation II. Analysis",
    author = "Elliott, C. M. and Stuart, A. M.",
    journal = "Journal of Differential Equations",
    volume = "128",
    number = "2",
    pages = "387-414",
    month = "July",
    year = "1996",
    doi = "https://doi.org/10.1006/jdeq.1996.0101",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170609-125856997",
}
@book {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/71925,
    title ="Dynamical Systems and Numerical Analysis",
    author = "Stuart, A. M. and Humphries, A. R.",
    
    
    
    
    month = "January",
    year = "1996",
    
    isbn = "9780521645638",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20161110-163922626",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/78078,
    title ="Attractive Invariant Manifolds under Approximation. Inertial Manifolds",
    author = "Jones, D. A. and Stuart, A. M.",
    journal = "Journal of Differential Equations",
    volume = "123",
    number = "2",
    pages = "588-637",
    month = "December",
    year = "1995",
    doi = "https://doi.org/10.1006/jdeq.1995.1174",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170612-064633625",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/78151,
    title ="The Essential Stability of Local Error Control for Dynamical Systems",
    author = "Stuart, A. M. and Humphries, A. R.",
    journal = "SIAM Journal on Numerical Analysis",
    volume = "32",
    number = "6",
    pages = "1940-1971",
    month = "December",
    year = "1995",
    doi = "https://doi.org/10.1137/0732087",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170613-084044146",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/78159,
    title ="The rate of error growth in Hamiltonian-conserving integrators",
    author = "Estep, Donald J. and Stuart, Andrew M.",
    journal = "Zeitschrift für Angewandte Mathematik und Physik",
    volume = "46",
    number = "3",
    pages = "407-418",
    month = "August",
    year = "1995",
    doi = "https://doi.org/10.1007/BF01003559",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170613-104839336",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/78175,
    title ="Discrete Gevrey regularity attractors and uppers–semicontinuity for a finite difference approximation to the Ginzburg–Landau equation",
    author = "Lord, Gabriel J. and Stuart, Andrew M.",
    journal = "Numerical Functional Analysis and Optimization",
    volume = "16",
    number = "7-8",
    pages = "1003-1047",
    month = "May",
    year = "1995",
    doi = "https://doi.org/10.1080/01630569508816658",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170613-143108777",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/78118,
    title ="The viscous Cahn-Hilliard equation. I. Computations",
    author = "Bai, F. and Elliott, C. M. and Gardiner, A. and Spence, A. and Stuart, A. M.",
    journal = "Nonlinearity",
    volume = "8",
    number = "2",
    pages = "131-160",
    month = "March",
    year = "1995",
    doi = "https://doi.org/10.1088/0951-7715/8/2/002",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170612-135245414",
}
@book_section {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/78169,
    title ="Perturbation Theory for Infinite Dimensional Dynamical Systems",
    author = "Stuart, Andrew",
    
    
    number = "4",
    pages = "181-290",
    month = "January",
    year = "1995",
    
    
    isbn = "978-0198511939",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170613-133150018",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/78057,
    title ="Numerical computations of coarsening in the one-dimensional Cahn-Hilliard model of phase separation",
    author = "Bai, Fengshan and Spence, Alastair and Stuart, Andrew M.",
    journal = "Physica D",
    volume = "78",
    number = "3-4",
    pages = "155-165",
    month = "November",
    year = "1994",
    doi = "https://doi.org/10.1016/0167-2789(94)90112-0",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170609-122809369",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/78150,
    title ="Runge–Kutta Methods for Dissipative and Gradient Dynamical Systems",
    author = "Humphries, A. R. and Stuart, A. M.",
    journal = "SIAM Journal on Numerical Analysis",
    volume = "31",
    number = "5",
    pages = "1452-1485",
    month = "October",
    year = "1994",
    doi = "https://doi.org/10.1137/0731075",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170613-084043889",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/78162,
    title ="Blow-up in a System of Partial Differential Equations with Conserved First Integral. Part II: Problems with Convection",
    author = "Budd, C. J. and Dold, J. W. and Stuart, A. M.",
    journal = "SIAM Journal on Applied Mathematics",
    volume = "54",
    number = "3",
    pages = "610-640",
    month = "June",
    year = "1994",
    doi = "https://doi.org/10.1137/S0036139992232131",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170613-120606856",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/78157,
    title ="Model Problems in Numerical Stability Theory for Initial Value Problems",
    author = "Stuart, A. M. and Humphries, A. R.",
    journal = "SIAM Review",
    volume = "36",
    number = "2",
    pages = "226-257",
    month = "June",
    year = "1994",
    doi = "https://doi.org/10.1137/1036054",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170613-100013806",
}
@book_section {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/78127,
    title ="Approximation of dissipative partial differential equations over long time intervals",
    author = "Humphries, A. R. and Jones, D. A. and Stuart, A. M.",
    
    
    number = "303",
    pages = "180-207",
    month = "January",
    year = "1994",
    
    isbn = "9780582225688",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170612-152618052",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/78144,
    title ="Numerical analysis of dynamical systems",
    author = "Stuart, Andrew M.",
    journal = "Acta Numerica",
    volume = "3",
    
    pages = "467-572",
    month = "January",
    year = "1994",
    doi = "https://doi.org/10.1017/S0962492900002488",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170613-082428693",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/78136,
    title ="The Global Dynamics of Discrete Semilinear Parabolic Equations",
    author = "Elliott, C. M. and Stuart, A. M.",
    journal = "SIAM Journal on Numerical Analysis",
    volume = "30",
    number = "6",
    pages = "1622-1663",
    month = "December",
    year = "1993",
    doi = "https://doi.org/10.1137/0730084",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170613-070150162",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/78080,
    title ="A model mechanism for the chemotactic response of endothelial cells to tumour angiogenesis factor",
    author = "Chaplain, M. A. J. and Stuart, A. M.",
    journal = "Mathematical Medicine and Biology",
    volume = "10",
    number = "3",
    pages = "149-168",
    month = "September",
    year = "1993",
    doi = "https://doi.org/10.1093/imammb/10.3.149",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170612-071258761",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/78143,
    title ="Blowup in a Partial Differential Equation with Conserved First Integral",
    author = "Budd, Chris and Dold, Bill and Stuart, Andrew",
    journal = "SIAM Journal on Applied Mathematics",
    volume = "53",
    number = "3",
    pages = "718-742",
    month = "June",
    year = "1993",
    doi = "https://doi.org/10.1137/0153036",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170613-080915743",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/78145,
    title ="The Numerical Computation of Heteroclinic Connections in Systems of Gradient Partial Differential Equations",
    author = "Bai, Fengshan and Spence, Alastair and Stuart, Andrew M.",
    journal = "SIAM Journal on Applied Mathematics",
    volume = "53",
    number = "3",
    pages = "743-769",
    month = "June",
    year = "1993",
    doi = "https://doi.org/10.1137/0153037",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170613-082542564",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/78103,
    title ="Unified approach to spurious solutions introduced by time discretization Part II: BDF-like methods",
    author = "Iserles, A. and Stuart, A. M.",
    journal = "IMA Journal of Numerical Analysis",
    volume = "12",
    number = "4",
    pages = "487-502",
    month = "October",
    year = "1992",
    doi = "https://doi.org/10.1093/imanum/12.4.487",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170612-105155948",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/78149,
    title ="Numerical Wave Propagation in an Advection Equation with a Nonlinear Source Term",
    author = "Griffiths, D. F. and Stuart, A. M. and Yee, H. C.",
    journal = "SIAM Journal on Numerical Analysis",
    volume = "29",
    number = "5",
    pages = "1244-1260",
    month = "October",
    year = "1992",
    doi = "https://doi.org/10.1137/0729074",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170613-084043611",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/78079,
    title ="A note on uniform in time error estimates for approximations to reaction-diffusion equations",
    author = "Sanz-Serna, J. M. and Stuart, A. M.",
    journal = "IMA Journal of Numerical Analysis",
    volume = "12",
    number = "3",
    pages = "457-462",
    month = "July",
    year = "1992",
    doi = "https://doi.org/10.1093/imanum/12.3.457",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170612-070148270",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/78133,
    title ="A Unified Approach to Spurious Solutions Introduced by Time Discretisation. Part I: Basic Theory",
    author = "Iserles, A. and Peplow, A. T. and Stuart, A. M.",
    journal = "SIAM Journal on Numerical Analysis",
    volume = "28",
    number = "6",
    pages = "1723-1751",
    month = "December",
    year = "1991",
    doi = "https://doi.org/10.1137/0728086",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170612-164247464",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/78155,
    title ="The Dynamics of the Theta Method",
    author = "Stuart, A. M. and Peplow, A. T.",
    journal = "SIAM Journal on Scientific and Statistical Computing",
    volume = "12",
    number = "6",
    pages = "1351-1372",
    month = "November",
    year = "1991",
    doi = "https://doi.org/10.1137/0912074",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170613-092411747",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/78102,
    title ="A Mathematical Model for the Diffusion of Tumour Angiogenesis Factor into the Surrounding Host Tissue",
    author = "Chaplain, M. A. J. and Stuart, A. M.",
    journal = "Mathematical Medicine and Biology",
    volume = "8",
    number = "3",
    pages = "191-220",
    month = "September",
    year = "1991",
    doi = "https://doi.org/10.1093/imammb/8.3.191",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170612-104202241",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/78176,
    title ="Singular Limits in Free Boundary Problems",
    author = "Stuart, Andrew M.",
    journal = "Rocky Mountain Journal of Mathematics",
    volume = "21",
    number = "2",
    pages = "809-811",
    month = "January",
    year = "1991",
    doi = "https://doi.org/10.1216/rmjm/1181072969",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170613-144801379",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/78097,
    title ="On the computation of blow-up",
    author = "Stuart, A. M. and Floater, M. S.",
    journal = "European Journal of Applied Mathematics",
    volume = "1",
    number = "01",
    pages = "47-71",
    month = "March",
    year = "1990",
    doi = "https://doi.org/10.1017/S095679250000005X",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170612-101245620",
}
@book_section {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/78120,
    title ="The Global Attractor Under Discretisation",
    author = "Stuart, Andrew",
    
    
    number = "313",
    pages = "211-225",
    month = "January",
    year = "1990",
    doi = "https://doi.org/10.1007/978-94-009-0659-4_14",
    isbn = "978-94-010-6781-2",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170612-140046210",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/78087,
    title ="Linear Instability Implies Spurious Periodic Solutions",
    author = "Stuart, Andrew",
    journal = "IMA Journal of Numerical Analysis",
    volume = "9",
    number = "4",
    pages = "465-486",
    month = "October",
    year = "1989",
    doi = "https://doi.org/10.1093/imanum/9.4.465",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170612-083455306",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/78139,
    title ="Nonlinear Instability in Dissipative Finite Difference Schemes",
    author = "Stuart, Andrew",
    journal = "SIAM Review",
    volume = "31",
    number = "2",
    pages = "191-220",
    month = "June",
    year = "1989",
    doi = "https://doi.org/10.1137/1031048",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170613-075253765",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/78154,
    title ="A Model for Porous-Medium Combustion",
    author = "Norbury, J. and Stuart, A. M.",
    journal = "Quarterly Journal of Mechanics and Applied Mathematics",
    volume = "42",
    number = "1",
    pages = "159-178",
    month = "February",
    year = "1989",
    doi = "https://doi.org/10.1093/qjmam/42.1.159",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170613-090547094",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/78142,
    title ="Singular Free Boundary Problems and Local Bifurcation Theory",
    author = "Stuart, A. M.",
    journal = "SIAM Journal on Applied Mathematics",
    volume = "49",
    number = "1",
    pages = "72-85",
    month = "February",
    year = "1989",
    doi = "https://doi.org/10.1137/0149004",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170613-080915333",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/78171,
    title ="A Note on High/Low-Wave-Number Interactions in Spatially Discrete Parabolic Equations",
    author = "Stuart, Andrew",
    journal = "IMA Journal of Applied Mathematics",
    volume = "42",
    number = "1",
    pages = "27-42",
    month = "January",
    year = "1989",
    doi = "https://doi.org/10.1093/imamat/42.1.27",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170613-135127282",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/78153,
    title ="Similarity Solutions of a Heat Equation with Nonlinearly Varying Heat Capacity",
    author = "Stuart, Andrew",
    journal = "IMA Journal of Applied Mathematics",
    volume = "40",
    number = "3",
    pages = "217-234",
    month = "September",
    year = "1988",
    doi = "https://doi.org/10.1093/imamat/40.3.217",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170613-090149803",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/78134,
    title ="Travelling Combustion Waves in a Porous Medium. Part II—Stability",
    author = "Norbury, J. and Stuart, A. M.",
    journal = "SIAM Journal on Applied Mathematics",
    volume = "48",
    number = "2",
    pages = "374-392",
    month = "April",
    year = "1988",
    doi = "https://doi.org/10.1137/0148019",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170612-164819129",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/78135,
    title ="Travelling Combustion Waves in a Porous Medium. Part I—Existence",
    author = "Norbury, J. and Stuart, A. M.",
    journal = "SIAM Journal on Applied Mathematics",
    volume = "48",
    number = "1",
    pages = "155-169",
    month = "February",
    year = "1988",
    doi = "https://doi.org/10.1137/0148007",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170612-165322289",
}
@book_section {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/78113,
    title ="The Mathematics of Porous Medium Combustion",
    author = "Stuart, A. M.",
    
    
    number = "13",
    pages = "295-313",
    month = "January",
    year = "1988",
    doi = "https://doi.org/10.1007/978-1-4613-9608-6_18",
    isbn = "978-1-4613-9610-9",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170612-132031395",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/78152,
    title ="Parabolic Free Boundary Problems Arising in Porous Medium Combustion",
    author = "Norbury, J. and Stuart, A. M.",
    journal = "IMA Journal of Applied Mathematics",
    volume = "39",
    number = "3",
    pages = "241-257",
    month = "September",
    year = "1987",
    doi = "https://doi.org/10.1093/imamat/39.3.241",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170613-084535886",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/78123,
    title ="Existence of Solutions of a Two-Point Free-Boundary Problem Arising in the Theory of Porous Medium Combustion",
    author = "Stuart, A. M.",
    journal = "IMA Journal of Applied Mathematics",
    volume = "38",
    number = "1",
    pages = "23-34",
    month = "January",
    year = "1987",
    doi = "https://doi.org/10.1093/imamat/38.1.23",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170612-142648576",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/78111,
    title ="Volterra integral equations and a new Gronwall inequality (Part I: The linear case)",
    author = "Norbury, J. and Stuart, A. M.",
    journal = "Proceedings of the Royal Society of Edinburgh: Section A Mathematics",
    volume = "106",
    number = "3-4",
    pages = "361-373",
    month = "January",
    year = "1987",
    doi = "https://doi.org/10.1017/S0308210500018473",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170612-131130001",
}
@article {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/78117,
    title ="Volterra integral equations and a new Gronwall inequality (Part II: The nonlinear case)",
    author = "Norbury, J. and Stuart, A. M.",
    journal = "Proceedings of the Royal Society of Edinburgh: Section A Mathematics",
    volume = "106",
    number = "3-4",
    pages = "375-384",
    month = "January",
    year = "1987",
    doi = "https://doi.org/10.1017/S0308210500018485",
    
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170612-135043115",
}