@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", } @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", }