<h1>Stuart, Andrew</h1>
<h2>Combined from <a href="https://authors.library.caltech.edu">CaltechAUTHORS</a></h2>
<ul>
<li>Kaveh, Hojjat and Avouac, Jean-Philippe, el al. (2025) <a href="https://authors.library.caltech.edu/records/htdmk-x7k95">Spatiotemporal forecast of extreme events in a chaotic model of slow slip events</a>; Geophysical Journal International; Vol. 240; No. 2; 870-885; <a href="https://doi.org/10.1093/gji/ggae417">10.1093/gji/ggae417</a></li>
<li>Batlle, Pau and Chen, Yifan, el al. (2025) <a href="https://authors.library.caltech.edu/records/6wdsc-6sw67">Error analysis of kernel/GP methods for nonlinear and parametric PDEs</a>; Journal of Computational Physics; Vol. 520; 113488; <a href="https://doi.org/10.1016/j.jcp.2024.113488">10.1016/j.jcp.2024.113488</a></li>
<li>Pradhan, Anshuman and Adams, Kyra H., el al. (2024) <a href="https://authors.library.caltech.edu/records/5sfrb-5gj05">Modeling Groundwater Levels in California's Central Valley by Hierarchical Gaussian Process and Neural Network Regression</a>; Journal of Geophysical Research: Machine Learning and Computation; Vol. 1; No. 4; e2024JH000322; <a href="https://doi.org/10.1029/2024jh000322">10.1029/2024jh000322</a></li>
<li>Carrillo, J. A. and Hoffmann, F., el al. (2024) <a href="https://authors.library.caltech.edu/records/5mhpm-yp051">The Mean-Field Ensemble Kalman Filter: Near-Gaussian Setting</a>; SIAM Journal on Numerical Analysis; Vol. 62; No. 6; 2549-2587; <a href="https://doi.org/10.1137/24m1628207">10.1137/24m1628207</a></li>
<li>Wu, Jin-Long and Levine, Matthew E., el al. (2024) <a href="https://authors.library.caltech.edu/records/ranze-1vf44">Learning about structural errors in models of complex dynamical systems</a>; Journal of Computational Physics; Vol. 513; 113157; <a href="https://doi.org/10.1016/j.jcp.2024.113157">10.1016/j.jcp.2024.113157</a></li>
<li>Bach, Eviatar and Colonius, Tim, el al. (2024) <a href="https://authors.library.caltech.edu/records/ce1pw-npb18">Filtering dynamical systems using observations of statistics</a>; Chaos: An Interdisciplinary Journal of Nonlinear Science; Vol. 34; No. 3; 033119; <a href="https://doi.org/10.1063/5.0171827">10.1063/5.0171827</a></li>
<li>Schneider, Tapio and Behera, Swadhin, el al. (2023) <a href="https://authors.library.caltech.edu/records/z0c0r-2jt68">Harnessing AI and computing to advance climate modelling and prediction</a>; Nature Climate Change; Vol. 13; No. 9; 887-889; <a href="https://doi.org/10.1038/s41558-023-01769-3">10.1038/s41558-023-01769-3</a></li>
<li>Sirlanci, Melike and Levine, Matthew E., el al. (2023) <a href="https://authors.library.caltech.edu/records/9ezja-9a679">A simple modeling framework for prediction in the human glucose–insulin system</a>; Chaos: An Interdisciplinary Journal of Nonlinear Science; Vol. 33; No. 7; 073150; PMCID PMC10368459; <a href="https://doi.org/10.1063/5.0146808">10.1063/5.0146808</a></li>
<li>de Hoop, Maarten V. and Kovachki, Nikola B., el al. (2023) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20230613-730765600.19">Convergence Rates for Learning Linear Operators from Noisy Data</a>; SIAM/ASA Journal on Uncertainty Quantification; Vol. 11; No. 2; 480-513; <a href="https://doi.org/10.1137/21m1442942">10.1137/21m1442942</a></li>
<li>Bhattacharya, Kaushik and Liu, Burigede, el al. (2023) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20230613-155502989">Learning Markovian Homogenized Models in Viscoelasticity</a>; Multiscale Modeling &amp; Simulation; Vol. 21; No. 2; 641-679; <a href="https://doi.org/10.1137/22M1499200">10.1137/22M1499200</a></li>
<li>Schneider, Tapio and Stuart, Andrew M., el al. (2022) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20221013-45138000.1">Ensemble Kalman inversion for sparse learning of dynamical systems from time-averaged data</a>; Journal of Computational Physics; Vol. 470; Art. No. 111559; <a href="https://doi.org/10.1016/j.jcp.2022.111559">10.1016/j.jcp.2022.111559</a></li>
<li>Dunbar, Oliver R. A. and Howland, Michael F., el al. (2022) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20220926-576391900.2">Ensemble-Based Experimental Design for Targeting Data Acquisition to Inform Climate Models</a>; Journal of Advances in Modeling Earth Systems; Vol. 14; No. 9; Art. No. e2022MS002997; <a href="https://doi.org/10.1029/2022ms002997">10.1029/2022ms002997</a></li>
<li>Huang, Daniel Zhengyu and Schneider, Tapio, el al. (2022) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20210719-210149563">Iterated Kalman methodology for inverse problems</a>; Journal of Computational Physics; Vol. 463; Art. No. 111262; <a href="https://doi.org/10.1016/j.jcp.2022.111262">10.1016/j.jcp.2022.111262</a></li>
<li>Liu, Ziming and Stuart, Andrew M., el al. (2022) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20221221-222944367">Second Order Ensemble Langevin Method for Sampling and Inverse Problems</a>; <a href="https://doi.org/10.48550/arXiv.2208.04506">10.48550/arXiv.2208.04506</a></li>
<li>Dunbar, Oliver R. A. and Duncan, Andrew B., el al. (2022) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20210412-121307581">Ensemble Inference Methods for Models With Noisy and Expensive Likelihoods</a>; SIAM Journal on Applied Dynamical Systems; Vol. 21; No. 2; 1539-1572; <a href="https://doi.org/10.1137/21M1410853">10.1137/21M1410853</a></li>
<li>Carrillo, J. A. and Hoffmann, F., el al. (2022) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20210719-210142693">Consensus-based sampling</a>; Studies in Applied Mathematics; Vol. 148; No. 3; 1069-1140; <a href="https://doi.org/10.1111/sapm.12470">10.1111/sapm.12470</a></li>
<li>Kovachki, Nikola and Liu, Burigede, el al. (2022) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20220121-968309000">Multiscale modeling of materials: Computing, data science, uncertainty and goal-oriented optimization</a>; Mechanics of Materials; Vol. 165; Art. No. 104156; <a href="https://doi.org/10.1016/j.mechmat.2021.104156">10.1016/j.mechmat.2021.104156</a></li>
<li>Pavliotis, G. A. and Stuart, A. M., el al. (2022) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20210719-210152979">Derivative-Free Bayesian Inversion Using Multiscale Dynamics</a>; SIAM Journal on Applied Dynamical Systems; Vol. 21; No. 1; 284-326; <a href="https://doi.org/10.1137/21M1397416">10.1137/21M1397416</a></li>
<li>Dunbar, Oliver R. A. and Howland, Michael F., el al. (2022) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20220119-572479000">Ensemble-Based Experimental Design for Targeted High-Resolution Simulations to Inform Climate Models</a>; <a href="https://doi.org/10.1002/essoar.10510142.1">10.1002/essoar.10510142.1</a></li>
<li>Hoffmann, Franca and Hosseini, Bamdad, el al. (2022) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20200331-075759863">Spectral analysis of weighted Laplacians arising in data clustering</a>; Applied and Computational Harmonic Analysis; Vol. 56; 189-249; <a href="https://doi.org/10.1016/j.acha.2021.07.004">10.1016/j.acha.2021.07.004</a></li>
<li>Liu, Burigede and Kovachki, Nikola, el al. (2022) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20210225-132721680">A learning-based multiscale method and its application to inelastic impact problems</a>; Journal of the Mechanics and Physics of Solids; Vol. 158; Art. No. 104668; <a href="https://doi.org/10.1016/j.jmps.2021.104668">10.1016/j.jmps.2021.104668</a></li>
<li>Chen, Yifan and Hosseini, Bamdad, el al. (2021) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20210719-210146136">Solving and learning nonlinear PDEs with Gaussian processes</a>; Journal of Computational Physics; Vol. 447; Art. No. 110668; <a href="https://doi.org/10.1016/j.jcp.2021.110668">10.1016/j.jcp.2021.110668</a></li>
<li>Abdulle, Assyr and Garegnani, Giacomo, el al. (2021) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20201109-141017891">Drift Estimation of Multiscale Diffusions Based on Filtered Data</a>; Foundations of Computational Mathematics; <a href="https://doi.org/10.1007/s10208-021-09541-9">10.1007/s10208-021-09541-9</a></li>
<li>Bertozzi, Andrea L. and Hosseini, Bamdad, el al. (2021) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20201109-141014452">Posterior consistency of semi-supervised regression on graphs</a>; Inverse Problems; Vol. 37; No. 10; Art. No. 105011; <a href="https://doi.org/10.1088/1361-6420/ac1e80">10.1088/1361-6420/ac1e80</a></li>
<li>Nelsen, Nicholas H. and Stuart, Andrew M. (2021) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20200527-073449881">The Random Feature Model for Input-Output Maps between Banach Spaces</a>; SIAM Journal on Scientific Computing; Vol. 43; No. 5; A3212-A3243; <a href="https://doi.org/10.1137/20M133957X">10.1137/20M133957X</a></li>
<li>Dunbar, Oliver R. A. and Garbuno-Inigo, Alfredo, el al. (2021) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20210113-143919927">Calibration and Uncertainty Quantification of Convective Parameters in an Idealized GCM</a>; Journal of Advances in Modelling Earth Systems; Vol. 13; No. 9; Art. No. e2020MS002454; <a href="https://doi.org/10.1029/2020MS002454">10.1029/2020MS002454</a></li>
<li>de Hoop, Maarten V. and Kovachki, Nikola B., el al. (2021) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20220524-180322099">Convergence Rates for Learning Linear Operators from Noisy Data</a>; <a href="https://doi.org/10.48550/arXiv.2108.12515">10.48550/arXiv.2108.12515</a></li>
<li>Kovachki, Nikola and Li, Zongyi, el al. (2021) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20210831-204010794">Neural Operator: Learning Maps Between Function Spaces</a>; <a href="https://doi.org/10.48550/arXiv.2108.08481">10.48550/arXiv.2108.08481</a></li>
<li>Levine, Matthew E. and Stuart, Andrew M. (2021) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20210719-210139286">A Framework for Machine Learning of Model Error in Dynamical Systems</a>; <a href="https://doi.org/10.48550/arXiv.2107.06658">10.48550/arXiv.2107.06658</a></li>
<li>Burov, Dmitry and Giannakis, Dimitrios, el al. (2021) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20201109-140959408">Kernel Analog Forecasting: Multiscale Test Problems</a>; Multiscale Modeling and Simulation; Vol. 19; No. 2; 1011-1040; <a href="https://doi.org/10.1137/20M1338289">10.1137/20M1338289</a></li>
<li>Chen, Yifang and Owhadi, Houman, el al. (2021) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20201109-141002843">Consistency of empirical Bayes and kernel flow for hierarchical parameter estimation</a>; Mathematics of Computation; Vol. 90; 2527-2578; <a href="https://doi.org/10.1090/mcom/3649">10.1090/mcom/3649</a></li>
<li>Li, Zongyi and Kovachki, Nikola, el al. (2021) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20210719-210135878">Learning Dissipative Dynamics in Chaotic Systems</a>; <a href="https://doi.org/10.48550/arXiv.2106.06898">10.48550/arXiv.2106.06898</a></li>
<li>Cleary, Emmet and Garbuno-Inigo, Alfredo, el al. (2021) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20200402-140348174">Calibrate, emulate, sample</a>; Journal of Computational Physics; Vol. 424; Art. No. 109716; <a href="https://doi.org/10.1016/j.jcp.2020.109716">10.1016/j.jcp.2020.109716</a></li>
<li>Kovachki, Nikola B. and Stuart, Andrew M. (2021) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20210503-091850360">Continuous Time Analysis of Momentum Methods</a>; Journal of Machine Learning Research; Vol. 22; No. 17; 1-40</li>
<li>Li, Zongyi and Kovachki, Nikola, el al. (2020) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20201106-120222366">Multipole Graph Neural Operator for Parametric Partial Differential Equations</a>; <a href="https://doi.org/10.48550/arXiv.2006.09535">10.48550/arXiv.2006.09535</a></li>
<li>Li, Zongyi and Kovachki, Nikola, el al. (2020) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20201106-120140981">Fourier Neural Operator for Parametric Partial Differential Equations</a>; <a href="https://doi.org/10.48550/arXiv.2010.08895">10.48550/arXiv.2010.08895</a></li>
<li>Dunlop, Matthew M. and Slepčev, Dejan, el al. (2020) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20190404-103712251">Large Data and Zero Noise Limits of Graph-Based Semi-Supervised Learning Algorithms</a>; Applied and Computational Harmonic Analysis; Vol. 49; No. 2; 655-697; <a href="https://doi.org/10.1016/j.acha.2019.03.005">10.1016/j.acha.2019.03.005</a></li>
<li>Schneider, Tapio and Stuart, Andrew M., el al. (2020) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20201109-141011032">Ensemble Kalman Inversion for Sparse Learning of Dynamical Systems from Time-Averaged Data</a>; <a href="https://doi.org/10.48550/arXiv.2007.06175">10.48550/arXiv.2007.06175</a></li>
<li>Dunbar, Oliver R. A. and Dunlop, Matthew M., el al. (2020) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170612-125032088">Reconciling Bayesian and Perimeter Regularization for Binary Inversion</a>; SIAM Journal on Scientific Computing; Vol. 42; No. 4; A1984-A2013; <a href="https://doi.org/10.1137/18M1179559">10.1137/18M1179559</a></li>
<li>Hoffmann, Franca and Hosseini, Bamdad, el al. (2020) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20190722-075729960">Consistency of Semi-Supervised Learning Algorithms on Graphs: Probit and One-Hot Methods</a>; Journal of Machine Learning Research; Vol. 21; 1-55; <a href="https://doi.org/10.48550/arXiv.1906.07658">10.48550/arXiv.1906.07658</a></li>
<li>Seylabi, Elnaz and Stuart, Andrew M., el al. (2020) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20200506-121245893">Site Characterization at Downhole Arrays by Joint Inversion of Dispersion Data and Acceleration Time Series</a>; Bulletin of the Seismological Society of America; Vol. 110; No. 3; 1323-1337; <a href="https://doi.org/10.1785/0120190256">10.1785/0120190256</a></li>
<li>Bhattacharya, Kaushik and Hosseini, Bamdad, el al. (2020) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20200527-074228185">Model Reduction and Neural Networks for Parametric PDEs</a>; <a href="https://doi.org/10.48550/arXiv.2005.03180">10.48550/arXiv.2005.03180</a></li>
<li>Newton, Kit and Li, Qin, el al. (2020) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20190722-155900728">Diffusive optical tomography in the Bayesian framework</a>; Multiscale Modeling and Simulation; Vol. 18; No. 2; 589-611; <a href="https://doi.org/10.1137/19M1247346">10.1137/19M1247346</a></li>
<li>Chada, Neil K. and Stuart, Andrew M., el al. (2020) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20190719-130631059">Tikhonov Regularization Within Ensemble Kalman Inversion</a>; SIAM Journal on Numerical Analysis; Vol. 58; No. 2; 1263-1294; <a href="https://doi.org/10.1137/19M1242331">10.1137/19M1242331</a></li>
<li>Schneider, Tapio and Stuart, Andrew M., el al. (2020) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20201109-140955956">Learning Stochastic Closures Using Ensemble Kalman Inversion</a>; <a href="https://doi.org/10.48550/arXiv.2004.08376">10.48550/arXiv.2004.08376</a></li>
<li>Li, Zongyi and Kovachki, Nikola, el al. (2020) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20200402-133318521">Neural Operator: Graph Kernel Network for Partial Differential Equations</a>; <a href="https://doi.org/10.48550/arXiv.2003.03485">10.48550/arXiv.2003.03485</a></li>
<li>Stuart, Andrew M. and Wolfram, Marie-Therese (2020) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20190722-082837777">Inverse optimal transport</a>; SIAM Journal on Applied Mathematics; Vol. 80; No. 1; 599-619; <a href="https://doi.org/10.1137/19M1261122">10.1137/19M1261122</a></li>
<li>Garbuno-Inigo, Alfredo and Hoffmann, Franca, el al. (2020) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20190722-103410192">Interacting Langevin Diffusions: Gradient Structure and Ensemble Kalman Sampler</a>; SIAM Journal on Applied Dynamical Systems; Vol. 19; No. 1; 412-441; <a href="https://doi.org/10.1137/19M1251655">10.1137/19M1251655</a></li>
<li>Lie, Han Cheng and Stuart, A. M., el al. (2019) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170612-123841285">Strong convergence rates of probabilistic integrators for ordinary differential equations</a>; Statistics and Computing; Vol. 29; No. 6; 1265-1283; <a href="https://doi.org/10.1007/s11222-019-09898-6">10.1007/s11222-019-09898-6</a></li>
<li>Albers, D. J. and Levine, M. E., el al. (2019) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20201109-140952547">A Simple Modeling Framework For Prediction In The Human Glucose-Insulin System</a>; <a href="https://doi.org/10.48550/arXiv.1910.14193">10.48550/arXiv.1910.14193</a></li>
<li>Kuntz, Juan and Ottobre, Michela, el al. (2019) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20161221-115035181">Diffusion Limit For The Random Walk Metropolis Algorithm Out Of stationarity</a>; Annales De l'Institut Henri Poincaré - Probabilitiés et Statistiques; Vol. 55; No. 3; 1599-1648; <a href="https://doi.org/10.1214/18-AIHP929">10.1214/18-AIHP929</a></li>
<li>Kelly, David and Stuart, Andrew M. (2019) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20161221-161911353">Ergodicity and Accuracy of Optimal Particle Filters for Bayesian Data Assimilation</a>; Chinese Annals of Mathematics, Series B; Vol. 40; No. 5; 811-842; <a href="https://doi.org/10.1007/s11401-019-0161-5">10.1007/s11401-019-0161-5</a></li>
<li>Albers, David J. and Blancquart, Paul-Adrien, el al. (2019) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20190722-155445728">Ensemble Kalman Methods With Constraints</a>; Inverse Problems; Vol. 35; No. 9; Art. No. 095007; PMCID PMC7677878; <a href="https://doi.org/10.1088/1361-6420/ab1c09">10.1088/1361-6420/ab1c09</a></li>
<li>Kovachki, Nikola B. and Stuart, Andrew M. (2019) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20190404-111033209">Ensemble Kalman Inversion: A Derivative-Free Technique For Machine Learning Tasks</a>; Inverse Problems; Vol. 35; No. 9; Art. No. 095005; <a href="https://doi.org/10.1088/1361-6420/ab1c3a">10.1088/1361-6420/ab1c3a</a></li>
<li>Gomes, Susana N. and Stuart, Andrew M., el al. (2019) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20190719-112058516">Parameter estimation for macroscopic pedestrian dynamics models from microscopic data</a>; SIAM Journal on Applied Mathematics; Vol. 79; No. 4; 1475-1500; <a href="https://doi.org/10.1137/18M1215980">10.1137/18M1215980</a></li>
<li>Kovachki, Nikola B. and Stuart, Andrew M. (2019) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20190722-102107649">Analysis Of Momentum Methods</a>; <a href="https://doi.org/10.48550/arXiv.1906.04285">10.48550/arXiv.1906.04285</a></li>
<li>Dunlop, Matthew M. and Helin, Tapio, el al. (2019) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20190722-134133717">Hyperparameter Estimation in Bayesian MAP Estimation: Parameterizations and Consistency</a>; <a href="https://doi.org/10.48550/arXiv.1905.04365">10.48550/arXiv.1905.04365</a></li>
<li>Qiao, Yiling and Shi, Chang, el al. (2019) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20190723-085611528">Uncertainty quantification for semi-supervised multi-class classification in image processing and ego-motion analysis of body-worn videos</a>; Electronic Imaging; Vol. 2019; Art. No. 264; <a href="https://doi.org/10.2352/ISSN.2470-1173.2019.11.IPAS-264">10.2352/ISSN.2470-1173.2019.11.IPAS-264</a></li>
<li>Stuart, Andrew and Taeb, Armeen (2018) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20190404-111038658">Data Assimilation and Inverse Problems</a>; <a href="https://doi.org/10.48550/arXiv.1810.06191">10.48550/arXiv.1810.06191</a></li>
<li>Albers, David J. and Levine, Matthew E., el al. (2018) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20181023-111929468">Mechanistic machine learning: how data assimilation leverages physiologic knowledge using Bayesian inference to forecast the future, infer the present, and phenotype</a>; Journal of the American Medical Informatics Association; Vol. 25; No. 10; 1392-1401; PMCID PMC6188514; <a href="https://doi.org/10.1093/jamia/ocy106">10.1093/jamia/ocy106</a></li>
<li>Kuntz, Juan and Ottobre, Michela, el al. (2018) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20161220-175620681">Non-stationary phase of the MALA algorithm</a>; Stochastics and Partial Differential Equations: Analysis and Computations; Vol. 6; No. 3; 446-499; PMCID PMC6411168; <a href="https://doi.org/10.1007/s40072-018-0113-1">10.1007/s40072-018-0113-1</a></li>
<li>Dunlop, Matthew M. and Girolami, Mark A., el al. (2018) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20181108-140320751">How Deep Are Deep Gaussian Processes?</a>; Journal of Machine Learning Research; Vol. 19; No. 54; 1-46; <a href="https://doi.org/10.48550/arXiv.1711.11280">10.48550/arXiv.1711.11280</a></li>
<li>Chada, Neil K. and Iglesias, Marco A., el al. (2018) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20180413-092058450">Parameterizations for ensemble Kalman inversion</a>; Inverse Problems; Vol. 34; No. 5; Art. No. 055009; <a href="https://doi.org/10.1088/1361-6420/aab6d9">10.1088/1361-6420/aab6d9</a></li>
<li>Bertozzi, Andrea L. and Luo, Xiyang, el al. (2018) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170712-141757416">Uncertainty Quantification in Graph-Based Classification of High Dimensional Data</a>; SIAM/ASA Journal on Uncertainty Quantification; Vol. 6; No. 2; 568-595; <a href="https://doi.org/10.1137/17M1134214">10.1137/17M1134214</a></li>
<li>Bréhier, Charles-Edouard and Hairer, Martin, el al. (2018) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20161221-110122611">Weak error estimates for trajectories of SPDEs for Spectral Galerkin discretization</a>; Journal of Computational Mathematics; Vol. 36; No. 2; 159-182; <a href="https://doi.org/10.4208/jcm.1607-m2016-0539">10.4208/jcm.1607-m2016-0539</a></li>
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<li>Beskos, A. and Pinski, F. J., el al. (2011) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20160804-150437807">Hybrid Monte Carlo on Hilbert spaces</a>; Stochastic Processes and their Applications; Vol. 121; No. 10; 2201-2230; <a href="https://doi.org/10.1016/j.spa.2011.06.003">10.1016/j.spa.2011.06.003</a></li>
<li>Lee, Wonjung and McDougall, D., el al. (2011) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20160801-175538072">Kalman filtering and smoothing for linear wave equations with model error</a>; Inverse Problems; Vol. 27; No. 9; Art. No. 095008; <a href="https://doi.org/10.1088/0266-5611/27/9/095008">10.1088/0266-5611/27/9/095008</a></li>
<li>Hairer, Martin and Stuart, Andrew M., el al. (2011) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20160804-162713014">Sampling conditioned hypoelliptic diffusions</a>; Annals of Applied Probability; Vol. 21; No. 2; 669-698; <a href="https://doi.org/10.1214/10-AAP708">10.1214/10-AAP708</a></li>
<li>Melbourne, I. and Stuart, A. M. (2011) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20160804-164518594">A note on diffusion limits of chaotic skew-product flows</a>; Nonlinearity; Vol. 24; No. 4; 1361-1367; <a href="https://doi.org/10.1088/0951-7715/24/4/018">10.1088/0951-7715/24/4/018</a></li>
<li>Hairer, M. and Stuart, A. M., el al. (2011) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20161111-111346824">Signal processing problems on function space: Bayesian formulation, stochastic PDEs and effective MCMC methods</a>; ISBN 9780199532902; The Oxford Handbook of Nonlinear Filtering; 833-873</li>
<li>Nolen, James and Pavliotis, Grigorios A., el al. (2011) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20161111-110328030">Multiscale modelling and inverse problems</a>; ISBN 978-3-642-22061-6; Numerical Analysis of Multiscale Problems; 1-34; <a href="https://doi.org/10.1007/978-3-642-22061-6_1">10.1007/978-3-642-22061-6_1</a></li>
<li>Fearnhead, Paul and Papaspiliopoulos, Omiros, el al. (2010) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170612-075052519">Random-weight particle filtering of continuous time processes</a>; Journal of the Royal Statistical Society: Series B; Vol. 72; No. 4; 497-512; <a href="https://doi.org/10.1111/j.1467-9868.2010.00744.x">10.1111/j.1467-9868.2010.00744.x</a></li>
<li>Fearnhead, Paul and Papaspiliopoulos, Omiros, el al. (2010) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20160804-164847166">Random-weight particle filtering of continuous time processes</a>; Statistical Methodology; Vol. 72; No. 4; 497-512; <a href="https://doi.org/10.1111/j.1467-9868.2010.00744.x">10.1111/j.1467-9868.2010.00744.x</a></li>
<li>Pinski, F. J. and Stuart, A. M. (2010) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20161108-161530502">Transition paths in molecules at finite temperature</a>; Journal of Chemical Physics; Vol. 132; No. 18; Art. No. 184104; <a href="https://doi.org/10.1063/1.3391160">10.1063/1.3391160</a></li>
<li>Mattingly, J. C. and Stuart, A. M., el al. (2010) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20160804-165401982">Convergence of numerical time-averaging and stationary measures via Poisson equations</a>; SIAM Journal of Numerical Analysis; Vol. 48; No. 2; 552-577; <a href="https://doi.org/10.1137/090770527">10.1137/090770527</a></li>
<li>Stuart, A. M. (2010) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20161111-112136150">Inverse problems: A Bayesian perspective</a>; Acta Numerica; Vol. 19; 451-559; <a href="https://doi.org/10.1017/S0962492910000061">10.1017/S0962492910000061</a></li>
<li>Cotter, S. L. and Dashti, M., el al. (2010) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20160804-170531840">Approximation of Bayesian Inverse Problems for PDEs</a>; SIAM Journal on Numerical Analysis; Vol. 48; No. 1; 322-345; <a href="https://doi.org/10.1137/090770734">10.1137/090770734</a></li>
<li>Cotter, S. L. and Dashti, M., el al. (2009) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20160805-151904215">Bayesian inverse problems for functions and applications to fluid mechanics</a>; Inverse Problems; Vol. 25; No. 11; Art. No 115008; <a href="https://doi.org/10.1088/0266-5611/25/11/115008">10.1088/0266-5611/25/11/115008</a></li>
<li>Pokern, Yvo and Stuart, Andrew M., el al. (2009) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20160805-152349945">Remarks on Drift Estimation for Diffusion Processes</a>; Multiscale Modeling and Simulation; Vol. 8; No. 1; 69-95; <a href="https://doi.org/10.1137/070694806">10.1137/070694806</a></li>
<li>Papavasiliou, A. and Pavliotis, G. A., el al. (2009) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20160805-153633492">Maximum likelihood drift estimation for multiscale diffusions</a>; Stochastic Processes and their Applications; Vol. 119; No. 10; 3173-3210; <a href="https://doi.org/10.1016/j.spa.2009.05.003">10.1016/j.spa.2009.05.003</a></li>
<li>Beskos, Alexandros and Stuart, Andrew (2009) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170612-093904953">MCMC methods for sampling function space</a>; ISBN 978-3-03719-056-2; Sixth International Congress on Industrial and Applied Mathematics; 337-364; <a href="https://doi.org/10.4171/056-1/16">10.4171/056-1/16</a></li>
<li>Beskos, Alexandros and Roberts, Gareth, el al. (2009) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20160805-153017689">Optimal scalings for local Metropolis–Hastings chains on nonproduct targets in high dimensions</a>; Annals of Applied Probability; Vol. 19; No. 3; 863-898; <a href="https://doi.org/10.1214/08-AAP563">10.1214/08-AAP563</a></li>
<li>Hairer, Martin and Stuart, Andrew, el al. (2009) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170614-080019284">Sampling conditioned diffusions</a>; ISBN 9781139107020; Trends in Stochastic Analysis; 159-186; <a href="https://doi.org/10.1017/CBO9781139107020.009">10.1017/CBO9781139107020.009</a></li>
<li>Pavliotis, G. A. and Stuart, A. M., el al. (2009) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20160805-155749338">Calculating effective diffusivities in the limit of vanishing molecular diffusion</a>; Journal of Computational Physics; Vol. 288; No. 4; 1030-1055; <a href="https://doi.org/10.1016/j.jcp.2008.10.014">10.1016/j.jcp.2008.10.014</a></li>
<li>Pokern, Yvo and Stuart, Andrew M., el al. (2009) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20161108-165631300">Parameter estimation for partially observed hypo-elliptic diffusions</a>; Journal of the Royal Society: Series B (Statistical Methodology); Vol. 71; No. 1; 49-73; <a href="https://doi.org/10.1111/j.1467-9868.2008.00689.x">10.1111/j.1467-9868.2008.00689.x</a></li>
<li>Pokern, Yvo and Stuart, Andrew M., el al. (2009) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20160805-155341773">Parameter estimation for partially observed hypoelliptic diffusions</a>; Statistical Methodology; Vol. 71; No. 1; 49-73; <a href="https://doi.org/10.1111/j.1467-9868.2008.00689.x">10.1111/j.1467-9868.2008.00689.x</a></li>
<li>White, David and Stuart, Andrew (2009) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20161111-113156226">Green's Functions by Monte Carlo</a>; ISBN 978-3-642-04106-8; Monte Carlo and Quasi-Monte Carlo Methods 2008; 627-636; <a href="https://doi.org/10.1007/978-3-642-04107-5_41">10.1007/978-3-642-04107-5_41</a></li>
<li>Beskos, Alexandros and Stuart, Andrew (2009) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170612-102025036">Computational Complexity of Metropolis-Hastings Methods in High Dimensions</a>; ISBN 978-3-642-04106-8; Monte Carlo and Quasi-Monte Carlo Methods 2008; 61-71; <a href="https://doi.org/10.1007/978-3-642-04107-5_4">10.1007/978-3-642-04107-5_4</a></li>
<li>Beskos, Alexandros and Roberts, Gareth, el al. (2008) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20160805-165106874">MCMC Methods for Diffusion Bridges</a>; Stochastics and Dynamics; Vol. 8; No. 3; 319-350; <a href="https://doi.org/10.1142/S0219493708002378">10.1142/S0219493708002378</a></li>
<li>Apte, A. and Jones, C. K. R. T., el al. (2008) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20160805-165730529">Data assimilation: Mathematical and statistical perspectives</a>; International Journal for Numerical Methods in Fluids; Vol. 56; No. 8; 1033-1046; <a href="https://doi.org/10.1002/fld.1698">10.1002/fld.1698</a></li>
<li>Apte, A. and Jones, C. K. R. T., el al. (2008) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20161108-173409695">A Bayesian approach to Lagrangian data assimilation</a>; Tellus A; Vol. 60; No. 2; 336-347; <a href="https://doi.org/10.1111/j.1600-0870.2007.00295.x">10.1111/j.1600-0870.2007.00295.x</a></li>
<li>Gonzalez, Oscar and Stuart, Andrew M. (2008) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20161110-163303162">A First Course in Continuum Mechanics</a>; ISBN 9780521714242; <a href="https://doi.org/10.1017/CBO9780511619571">10.1017/CBO9780511619571</a></li>
<li>Pavliotis, Grigorios A. and Stuart, Andrew M. (2008) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20161110-162102417">Multiscale Methods: Averaging and Homogenization</a>; ISBN 978-0-387-73829-1; <a href="https://doi.org/10.1007/978-0-387-73829-1">10.1007/978-0-387-73829-1</a></li>
<li>Lamba, H. and Mattingly, J. C., el al. (2007) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170612-132345468">An adaptive Euler-Maruyama scheme for SDEs: convergence and stability</a>; IMA Journal of Numerical Analysis; Vol. 27; No. 3; 479-506; <a href="https://doi.org/10.1093/imanum/drl032">10.1093/imanum/drl032</a></li>
<li>Apte, A. and Hairer, M., el al. (2007) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170609-130839195">Sampling the posterior: An approach to non-Gaussian data assimilation</a>; Physica D; Vol. 230; No. 1-2; 50-64; <a href="https://doi.org/10.1016/j.physd.2006.06.009">10.1016/j.physd.2006.06.009</a></li>
<li>Pavliotis, G. A. and Stuart, A. M. (2007) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170613-124705885">Parameter Estimation for Multiscale Diffusions</a>; Journal of Statistical Physics; Vol. 127; No. 4; 741-781; <a href="https://doi.org/10.1007/s10955-007-9300-6">10.1007/s10955-007-9300-6</a></li>
<li>Pavliotis, G. A. and Stuart, A. M., el al. (2007) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20161108-174342361">Homogenization for inertial particles in a random flow</a>; Communications in Mathematical Sciences; Vol. 5; No. 3; 507-531; <a href="https://doi.org/10.4310/CMS.2007.v5.n3.a1">10.4310/CMS.2007.v5.n3.a1</a></li>
<li>Hairer, M. and Stuart, A. M., el al. (2007) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170613-080132206">Analysis of SPDEs arising in path sampling part II: The nonlinear case</a>; Annals of Applied Probability; Vol. 17; No. 5/6; 1657-1706; <a href="https://doi.org/10.1214/07-AAP441">10.1214/07-AAP441</a></li>
<li>Barkley, D. and Kevrekidis, I. G., el al. (2006) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170612-131025773">The Moment Map: Nonlinear Dynamics of Density Evolution via a Few Moments</a>; SIAM Journal on Applied Dynamical Systems; Vol. 5; No. 3; 403-434; <a href="https://doi.org/10.1137/050638667">10.1137/050638667</a></li>
<li>Pavliotis, G. A. and Stuart, A. M., el al. (2006) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170613-140425580">Monte Carlo Studies of Effective Diffusivities for Inertial Particles</a>; ISBN 978-3-540-25541-3; Monte Carlo and Quasi-Monte Carlo Methods 2004; 431-441; <a href="https://doi.org/10.1007/3-540-31186-6_26">10.1007/3-540-31186-6_26</a></li>
<li>Pavliotis, G. A. and Stuart, A. M. (2005) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170612-130002475">Analysis of White Noise Limits for Stochastic Systems with Two Fast Relaxation Times</a>; Multiscale Modeling and Simulation; Vol. 4; No. 1; 1-35; <a href="https://doi.org/10.1137/040610507">10.1137/040610507</a></li>
<li>Pavliotis, G. A. and Stuart, A. M. (2005) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170609-143518545">Periodic homogenization for inertial particles</a>; Physica D; Vol. 204; No. 3-4; 161-187; <a href="https://doi.org/10.1016/j.physd.2005.04.011">10.1016/j.physd.2005.04.011</a></li>
<li>Hairer, M. and Stuart, A. M., el al. (2005) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170612-141658808">Analysis of SPDEs arising in path sampling. Part I: The Gaussian case</a>; Communications in Mathematical Sciences; Vol. 3; No. 4; 587-603; <a href="https://doi.org/10.4310/CMS.2005.v3.n4.a8">10.4310/CMS.2005.v3.n4.a8</a></li>
<li>Kupferman, R. and Stuart, A. M. (2004) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170609-143006730">Fitting SDE models to nonlinear Kac–Zwanzig heat bath models</a>; Physica D; Vol. 199; No. 3-4; 279-316; <a href="https://doi.org/10.1016/j.physd.2004.04.011">10.1016/j.physd.2004.04.011</a></li>
<li>Stuart, Andrew M. and Voss, Jochen, el al. (2004) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170612-144819276">Conditional Path Sampling of SDEs and the Langevin MCMC Method</a>; Communications in Mathematical Sciences; Vol. 2; No. 4; 685-697; <a href="https://doi.org/10.4310/CMS.2004.v2.n4.a7">10.4310/CMS.2004.v2.n4.a7</a></li>
<li>Givon, Dror and Kupferman, Raz, el al. (2004) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170609-153344149">Extracting macroscopic dynamics: model problems and algorithms</a>; Nonlinearity; Vol. 17; No. 6; R55-R127; <a href="https://doi.org/10.1088/0951-7715/17/6/R01">10.1088/0951-7715/17/6/R01</a></li>
<li>Kupferman, R. and Pavliotis, G. A., el al. (2004) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170612-132002885">Itô versus Stratonovich white-noise limits for systems with inertia and colored multiplicative noise</a>; Physical Review E; Vol. 70; No. 3; Art. No. 036120; <a href="https://doi.org/10.1103/PhysRevE.70.036120">10.1103/PhysRevE.70.036120</a></li>
<li>Pavliotis, G. A. and Stuart, A. M. (2003) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170609-165633126">White Noise Limits for Inertial Particles in a Random Field</a>; Multiscale Modeling and Simulation; Vol. 1; No. 4; 527-553; <a href="https://doi.org/10.1137/S1540345903421076">10.1137/S1540345903421076</a></li>
<li>Huisinga, Wilhelm and Schütte, Christof, el al. (2003) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170609-144239769">Extracting macroscopic stochastic dynamics: Model problems</a>; Communications on Pure and Applied Mathematics; Vol. 56; No. 2; 234-269; <a href="https://doi.org/10.1002/cpa.10057">10.1002/cpa.10057</a></li>
<li>Higham, Desmond J. and Mao, Xuerong, el al. (2003) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170612-133950435">Exponential Mean-Square Stability of Numerical Solutions to Stochastic Differential Equations</a>; LMS Journal of Computation and Mathematics; Vol. 6; 297-313; <a href="https://doi.org/10.1112/S1461157000000462">10.1112/S1461157000000462</a></li>
<li>Kupferman, R. and Stuart, A. M., el al. (2002) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170612-072429575">Long-Term Behavior of Large Mechanical Systems with Random Initial Data</a>; Stochastics and Dynamics; Vol. 02; No. 04; 533-562; <a href="https://doi.org/10.1142/S0219493702000571">10.1142/S0219493702000571</a></li>
<li>Sigurgeirsson, H. and Stuart, A. M. (2002) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170609-152746245">A model for preferential concentration</a>; Physics of Fluids; Vol. 14; No. 12; 4352-4361; <a href="https://doi.org/10.1063/1.1517603">10.1063/1.1517603</a></li>
<li>Mattingly, J. C. and Stuart, A. M., el al. (2002) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170609-125050787">Ergodicity for SDEs and approximations: locally Lipschitz vector fields and degenerate noise</a>; Stochastic Processes and their Applications; Vol. 101; No. 2; 185-232; <a href="https://doi.org/10.1016/S0304-4149(02)00150-3">10.1016/S0304-4149(02)00150-3</a></li>
<li>Higham, Desmond J. and Mao, Xuerong, el al. (2002) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170613-133526351">Strong Convergence of Euler-Type Methods for Nonlinear Stochastic Differential Equations</a>; SIAM Journal on Numerical Analysis; Vol. 40; No. 3; 1041-1063; <a href="https://doi.org/10.1137/S0036142901389530">10.1137/S0036142901389530</a></li>
<li>Estep, Donald J. and Stuart, Andrew M. (2002) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170609-164822143">The dynamical behavior of the discontinuous Galerkin method and related difference schemes</a>; Mathematics of Computation; Vol. 71; No. 239; 1075-1103; <a href="https://doi.org/10.1090/S0025-5718-01-01364-3">10.1090/S0025-5718-01-01364-3</a></li>
<li>Sigurgeirsson, H. and Stuart, A. M. (2002) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170612-073927763">Inertial Particles in a Random Field</a>; Stochastics and Dynamics; Vol. 02; No. 02; 295-310; <a href="https://doi.org/10.1142/S021949370200042X">10.1142/S021949370200042X</a></li>
<li>Humphries, A. R. and Stuart, A. M. (2002) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170613-125750895">Deterministic and random dynamical systems: theory and numerics</a>; ISBN 978-1-4020-0782-8; Modern Methods in Scientific Computing and Applications; 211-254; <a href="https://doi.org/10.1007/978-94-010-0510-4_6">10.1007/978-94-010-0510-4_6</a></li>
<li>Mattingly, J. C. and Stuart, A. M. (2002) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170613-125012320">Geometric Ergodicity of Some Hypo-Elliptic Diffusions for Particle Motions</a>; Markov Processes And Related Fields; Vol. 8; No. 2; 199-214</li>
<li>Sigurgeirsson, Hersir and Stuart, Andrew, el al. (2001) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170612-063817274">Algorithms for Particle-Field Simulations with Collisions</a>; Journal of Computational Physics; Vol. 172; No. 2; 766-807; <a href="https://doi.org/10.1006/jcph.2001.6858">10.1006/jcph.2001.6858</a></li>
<li>Cano, B. and Stuart, A. M. (2001) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170609-132504945">Underresolved Simulations of Heat Baths</a>; Journal of Computational Physics; Vol. 169; No. 1; 193-214; <a href="https://doi.org/10.1006/jcph.2001.6722">10.1006/jcph.2001.6722</a></li>
<li>Cano, B. and Stuart, A. M., el al. (2001) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170613-130016747">Stiff Oscillatory Systems, Delta Jumps and White Noise</a>; Foundations of Computational Mathematics; Vol. 1; No. 1; 69-100; <a href="https://doi.org/10.1007/s10208001002">10.1007/s10208001002</a></li>
<li>Sigurgeirsson, Hersir and Stuart, A. M. (2001) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170614-073434784">Statistics From Computations</a>; ISBN 978-0-521-00349-0; Foundations of Computational Mathematics; 323-344</li>
<li>Shardlow, T. and Stuart, A. M. (2000) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170613-080747440">A Perturbation Theory for Ergodic Markov Chains and Application to Numerical Approximations</a>; SIAM Journal on Numerical Analysis; Vol. 37; No. 4; 1120-1137; <a href="https://doi.org/10.1137/S0036142998337235">10.1137/S0036142998337235</a></li>
<li>Lamba, Harbir and Stuart, Andrew (2000) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170613-142949630">Convergence Proofs for Numerical IVP Software</a>; ISBN 9781461270737; Dynamics of Algorithms; 107-125; <a href="https://doi.org/10.1007/978-1-4612-1274-4_6">10.1007/978-1-4612-1274-4_6</a></li>
<li>Stuart, A. M. and Warren, J. O. (1999) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170609-161129844">Analysis and Experiments for a Computational Model of a Heat Bath</a>; Journal of Statistical Physics; Vol. 97; No. 3/4; 687-723; <a href="https://doi.org/10.1023/A:1004667325896">10.1023/A:1004667325896</a></li>
<li>Sanz-Serna, J. M. and Stuart, A. M. (1999) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170609-124028394">Ergodicity of Dissipative Differential Equations Subject to Random Impulses</a>; Journal of Differential Equations; Vol. 155; No. 2; 262-284; <a href="https://doi.org/10.1006/jdeq.1998.3594">10.1006/jdeq.1998.3594</a></li>
<li>Gonzalez, O. and Higham, D. J., el al. (1999) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170609-164025962">Qualitative properties of modified equations</a>; IMA Journal of Numerical Analysis; Vol. 19; No. 2; 169-190; <a href="https://doi.org/10.1093/imanum/19.2.169">10.1093/imanum/19.2.169</a></li>
<li>Lamba, H. and Stuart, A. M. (1998) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170609-154149149">Convergence results for the MATLAB ODE23 routine</a>; BIT Numerical Mathematics; Vol. 38; No. 4; 751-780; <a href="https://doi.org/10.1007/BF02510413">10.1007/BF02510413</a></li>
<li>Gander, Martin J. and Stuart, Andrew M. (1998) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170612-134545090">Space-Time Continuous Analysis of Waveform Relaxation for the Heat Equation</a>; SIAM Journal on Scientific Computing; Vol. 19; No. 6; 2014-2031; <a href="https://doi.org/10.1137/S1064827596305337">10.1137/S1064827596305337</a></li>
<li>Budd, C. J. and Koomullil, G. P., el al. (1998) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170612-143618623">On the Solution of Convection-Diffusion Boundary Value Problems Using Equidistributed Grids</a>; SIAM Journal on Scientific Computing; Vol. 20; No. 2; 591-618; <a href="https://doi.org/10.1137/S1064827595280454">10.1137/S1064827595280454</a></li>
<li>Jones, Don A. and Stuart, Andrew M., el al. (1998) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170609-123316540">Persistence of Invariant Sets for Dissipative Evolution Equations</a>; Journal of Mathematical Analysis and Applictions; Vol. 219; No. 2; 479-502; <a href="https://doi.org/10.1006/jmaa.1997.5847">10.1006/jmaa.1997.5847</a></li>
<li>Higham, D. J. and Stuart, A. M. (1998) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170613-110046810">Analysis of the dynamics of local error control via a piecewise continuous residual</a>; BIT Numerical Mathematics; Vol. 38; No. 1; 44-57; <a href="https://doi.org/10.1007/BF02510916">10.1007/BF02510916</a></li>
<li>Bjørhus, Morten and Stuart, Andrew M. (1997) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170612-145717225">Waveform relaxation as a dynamical system</a>; Mathematics of Computation; Vol. 66; No. 219; 1101-1118; <a href="https://doi.org/10.1090/S0025-5718-97-00847-8">10.1090/S0025-5718-97-00847-8</a></li>
<li>Stuart, A. M. (1997) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170613-132616648">Probabilistic and deterministic convergence proofs for
software for initial value problems</a>; Numerical Algorithms; Vol. 14; No. 1/3; 227-260; <a href="https://doi.org/10.1023/A:1019169114976">10.1023/A:1019169114976</a></li>
<li>Stuart, Andrew (1997) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170613-141546199">Convergence and stability in the numerical approximation of
dynamical systems</a>; ISBN 9780198500148; The State of the Art in Numerical Analysis; 145-169</li>
<li>Elliott, C. M. and Stuart, A. M. (1996) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170609-125856997">Viscous Cahn–Hilliard Equation II. Analysis</a>; Journal of Differential Equations; Vol. 128; No. 2; 387-414; <a href="https://doi.org/10.1006/jdeq.1996.0101">10.1006/jdeq.1996.0101</a></li>
<li>Stuart, A. M. and Humphries, A. R. (1996) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20161110-163922626">Dynamical Systems and Numerical Analysis</a>; ISBN 9780521645638</li>
<li>Jones, D. A. and Stuart, A. M. (1995) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170612-064633625">Attractive Invariant Manifolds under Approximation. Inertial Manifolds</a>; Journal of Differential Equations; Vol. 123; No. 2; 588-637; <a href="https://doi.org/10.1006/jdeq.1995.1174">10.1006/jdeq.1995.1174</a></li>
<li>Stuart, A. M. and Humphries, A. R. (1995) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170613-084044146">The Essential Stability of Local Error Control for Dynamical Systems</a>; SIAM Journal on Numerical Analysis; Vol. 32; No. 6; 1940-1971; <a href="https://doi.org/10.1137/0732087">10.1137/0732087</a></li>
<li>Estep, Donald J. and Stuart, Andrew M. (1995) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170613-104839336">The rate of error growth in Hamiltonian-conserving integrators</a>; Zeitschrift für Angewandte Mathematik und Physik; Vol. 46; No. 3; 407-418; <a href="https://doi.org/10.1007/BF01003559">10.1007/BF01003559</a></li>
<li>Lord, Gabriel J. and Stuart, Andrew M. (1995) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170613-143108777">Discrete Gevrey regularity attractors and uppers–semicontinuity for a finite difference approximation to the Ginzburg–Landau equation</a>; Numerical Functional Analysis and Optimization; Vol. 16; No. 7-8; 1003-1047; <a href="https://doi.org/10.1080/01630569508816658">10.1080/01630569508816658</a></li>
<li>Bai, F. and Elliott, C. M., el al. (1995) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170612-135245414">The viscous Cahn-Hilliard equation. I. Computations</a>; Nonlinearity; Vol. 8; No. 2; 131-160; <a href="https://doi.org/10.1088/0951-7715/8/2/002">10.1088/0951-7715/8/2/002</a></li>
<li>Stuart, Andrew (1995) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170613-133150018">Perturbation Theory for Infinite Dimensional Dynamical Systems</a>; ISBN 978-0198511939; Theory and Numerics of Ordinary and Partial Differential Equations; 181-290</li>
<li>Bai, Fengshan and Spence, Alastair, el al. (1994) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170609-122809369">Numerical computations of coarsening in the one-dimensional Cahn-Hilliard model of phase separation</a>; Physica D; Vol. 78; No. 3-4; 155-165; <a href="https://doi.org/10.1016/0167-2789(94)90112-0">10.1016/0167-2789(94)90112-0</a></li>
<li>Humphries, A. R. and Stuart, A. M. (1994) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170613-084043889">Runge–Kutta Methods for Dissipative and Gradient Dynamical Systems</a>; SIAM Journal on Numerical Analysis; Vol. 31; No. 5; 1452-1485; <a href="https://doi.org/10.1137/0731075">10.1137/0731075</a></li>
<li>Stuart, A. M. and Humphries, A. R. (1994) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170613-100013806">Model Problems in Numerical Stability Theory for Initial Value Problems</a>; SIAM Review; Vol. 36; No. 2; 226-257; <a href="https://doi.org/10.1137/1036054">10.1137/1036054</a></li>
<li>Budd, C. J. and Dold, J. W., el al. (1994) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170613-120606856">Blow-up in a System of Partial Differential Equations with Conserved First Integral. Part II: Problems with Convection</a>; SIAM Journal on Applied Mathematics; Vol. 54; No. 3; 610-640; <a href="https://doi.org/10.1137/S0036139992232131">10.1137/S0036139992232131</a></li>
<li>Humphries, A. R. and Jones, D. A., el al. (1994) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170612-152618052">Approximation of dissipative partial differential equations over long time intervals</a>; ISBN 9780582225688; Numerical Analysis 1993; 180-207</li>
<li>Stuart, Andrew M. (1994) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170613-082428693">Numerical analysis of dynamical systems</a>; Acta Numerica; Vol. 3; 467-572; <a href="https://doi.org/10.1017/S0962492900002488">10.1017/S0962492900002488</a></li>
<li>Elliott, C. M. and Stuart, A. M. (1993) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170613-070150162">The Global Dynamics of Discrete Semilinear Parabolic Equations</a>; SIAM Journal on Numerical Analysis; Vol. 30; No. 6; 1622-1663; <a href="https://doi.org/10.1137/0730084">10.1137/0730084</a></li>
<li>Chaplain, M. A. J. and Stuart, A. M. (1993) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170612-071258761">A model mechanism for the chemotactic response of endothelial cells to tumour angiogenesis factor</a>; Mathematical Medicine and Biology; Vol. 10; No. 3; 149-168; <a href="https://doi.org/10.1093/imammb/10.3.149">10.1093/imammb/10.3.149</a></li>
<li>Budd, Chris and Dold, Bill, el al. (1993) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170613-080915743">Blowup in a Partial Differential Equation with Conserved First Integral</a>; SIAM Journal on Applied Mathematics; Vol. 53; No. 3; 718-742; <a href="https://doi.org/10.1137/0153036">10.1137/0153036</a></li>
<li>Bai, Fengshan and Spence, Alastair, el al. (1993) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170613-082542564">The Numerical Computation of Heteroclinic Connections in Systems of Gradient Partial Differential Equations</a>; SIAM Journal on Applied Mathematics; Vol. 53; No. 3; 743-769; <a href="https://doi.org/10.1137/0153037">10.1137/0153037</a></li>
<li>Iserles, A. and Stuart, A. M. (1992) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170612-105155948">Unified approach to spurious solutions introduced by time discretization Part II: BDF-like methods</a>; IMA Journal of Numerical Analysis; Vol. 12; No. 4; 487-502; <a href="https://doi.org/10.1093/imanum/12.4.487">10.1093/imanum/12.4.487</a></li>
<li>Griffiths, D. F. and Stuart, A. M., el al. (1992) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170613-084043611">Numerical Wave Propagation in an Advection Equation with a Nonlinear Source Term</a>; SIAM Journal on Numerical Analysis; Vol. 29; No. 5; 1244-1260; <a href="https://doi.org/10.1137/0729074">10.1137/0729074</a></li>
<li>Sanz-Serna, J. M. and Stuart, A. M. (1992) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170612-070148270">A note on uniform in time error estimates for approximations to reaction-diffusion equations</a>; IMA Journal of Numerical Analysis; Vol. 12; No. 3; 457-462; <a href="https://doi.org/10.1093/imanum/12.3.457">10.1093/imanum/12.3.457</a></li>
<li>Iserles, A. and Peplow, A. T., el al. (1991) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170612-164247464">A Unified Approach to Spurious Solutions Introduced by Time Discretisation. Part I: Basic Theory</a>; SIAM Journal on Numerical Analysis; Vol. 28; No. 6; 1723-1751; <a href="https://doi.org/10.1137/0728086">10.1137/0728086</a></li>
<li>Stuart, A. M. and Peplow, A. T. (1991) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170613-092411747">The Dynamics of the Theta Method</a>; SIAM Journal on Scientific and Statistical Computing; Vol. 12; No. 6; 1351-1372; <a href="https://doi.org/10.1137/0912074">10.1137/0912074</a></li>
<li>Chaplain, M. A. J. and Stuart, A. M. (1991) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170612-104202241">A Mathematical Model for the Diffusion of Tumour Angiogenesis Factor into the Surrounding Host Tissue</a>; Mathematical Medicine and Biology; Vol. 8; No. 3; 191-220; <a href="https://doi.org/10.1093/imammb/8.3.191">10.1093/imammb/8.3.191</a></li>
<li>Stuart, Andrew M. (1991) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170613-144801379">Singular Limits in Free Boundary Problems</a>; Rocky Mountain Journal of Mathematics; Vol. 21; No. 2; 809-811; <a href="https://doi.org/10.1216/rmjm/1181072969">10.1216/rmjm/1181072969</a></li>
<li>Stuart, A. M. and Floater, M. S. (1990) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170612-101245620">On the computation of blow-up</a>; European Journal of Applied Mathematics; Vol. 1; No. 01; 47-71; <a href="https://doi.org/10.1017/S095679250000005X">10.1017/S095679250000005X</a></li>
<li>Stuart, Andrew (1990) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170612-140046210">The Global Attractor Under Discretisation</a>; ISBN 978-94-010-6781-2; Continuation and Bifurcations: Numerical Techniques and Applications; 211-225; <a href="https://doi.org/10.1007/978-94-009-0659-4_14">10.1007/978-94-009-0659-4_14</a></li>
<li>Stuart, Andrew (1989) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170612-083455306">Linear Instability Implies Spurious Periodic Solutions</a>; IMA Journal of Numerical Analysis; Vol. 9; No. 4; 465-486; <a href="https://doi.org/10.1093/imanum/9.4.465">10.1093/imanum/9.4.465</a></li>
<li>Stuart, Andrew (1989) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170613-075253765">Nonlinear Instability in Dissipative Finite Difference Schemes</a>; SIAM Review; Vol. 31; No. 2; 191-220; <a href="https://doi.org/10.1137/1031048">10.1137/1031048</a></li>
<li>Stuart, A. M. (1989) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170613-080915333">Singular Free Boundary Problems and Local Bifurcation Theory</a>; SIAM Journal on Applied Mathematics; Vol. 49; No. 1; 72-85; <a href="https://doi.org/10.1137/0149004">10.1137/0149004</a></li>
<li>Norbury, J. and Stuart, A. M. (1989) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170613-090547094">A Model for Porous-Medium Combustion</a>; Quarterly Journal of Mechanics and Applied Mathematics; Vol. 42; No. 1; 159-178; <a href="https://doi.org/10.1093/qjmam/42.1.159">10.1093/qjmam/42.1.159</a></li>
<li>Stuart, Andrew (1989) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170613-135127282">A Note on High/Low-Wave-Number Interactions in Spatially Discrete Parabolic Equations</a>; IMA Journal of Applied Mathematics; Vol. 42; No. 1; 27-42; <a href="https://doi.org/10.1093/imamat/42.1.27">10.1093/imamat/42.1.27</a></li>
<li>Stuart, Andrew (1988) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170613-090149803">Similarity Solutions of a Heat Equation with Nonlinearly Varying Heat Capacity</a>; IMA Journal of Applied Mathematics; Vol. 40; No. 3; 217-234; <a href="https://doi.org/10.1093/imamat/40.3.217">10.1093/imamat/40.3.217</a></li>
<li>Norbury, J. and Stuart, A. M. (1988) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170612-164819129">Travelling Combustion Waves in a Porous Medium. Part II—Stability</a>; SIAM Journal on Applied Mathematics; Vol. 48; No. 2; 374-392; <a href="https://doi.org/10.1137/0148019">10.1137/0148019</a></li>
<li>Norbury, J. and Stuart, A. M. (1988) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170612-165322289">Travelling Combustion Waves in a Porous Medium. Part I—Existence</a>; SIAM Journal on Applied Mathematics; Vol. 48; No. 1; 155-169; <a href="https://doi.org/10.1137/0148007">10.1137/0148007</a></li>
<li>Stuart, A. M. (1988) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170612-132031395">The Mathematics of Porous Medium Combustion</a>; ISBN 978-1-4613-9610-9; Nonlinear Diffusion Equations and Their Equilibrium States II; 295-313; <a href="https://doi.org/10.1007/978-1-4613-9608-6_18">10.1007/978-1-4613-9608-6_18</a></li>
<li>Norbury, J. and Stuart, A. M. (1987) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170613-084535886">Parabolic Free Boundary Problems Arising in Porous Medium Combustion</a>; IMA Journal of Applied Mathematics; Vol. 39; No. 3; 241-257; <a href="https://doi.org/10.1093/imamat/39.3.241">10.1093/imamat/39.3.241</a></li>
<li>Stuart, A. M. (1987) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170612-142648576">Existence of Solutions of a Two-Point Free-Boundary Problem Arising in the Theory of Porous Medium Combustion</a>; IMA Journal of Applied Mathematics; Vol. 38; No. 1; 23-34; <a href="https://doi.org/10.1093/imamat/38.1.23">10.1093/imamat/38.1.23</a></li>
<li>Norbury, J. and Stuart, A. M. (1987) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170612-135043115">Volterra integral equations and a new Gronwall inequality (Part II: The nonlinear case)</a>; Proceedings of the Royal Society of Edinburgh: Section A Mathematics; Vol. 106; No. 3-4; 375-384; <a href="https://doi.org/10.1017/S0308210500018485">10.1017/S0308210500018485</a></li>
<li>Norbury, J. and Stuart, A. M. (1987) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170612-131130001">Volterra integral equations and a new Gronwall inequality (Part I: The linear case)</a>; Proceedings of the Royal Society of Edinburgh: Section A Mathematics; Vol. 106; No. 3-4; 361-373; <a href="https://doi.org/10.1017/S0308210500018473">10.1017/S0308210500018473</a></li>
</ul>