@article{https://authors.library.caltech.edu/records/5sfrb-5gj05,
    title = "Modeling Groundwater Levels in California's Central Valley by Hierarchical Gaussian Process and Neural Network Regression",
    journal = "Journal of Geophysical Research: Machine Learning and Computation",
    year = "2024",
    url = "https://authors.library.caltech.edu/records/5sfrb-5gj05",
    id = "record",
    issn = "2993-5210",
    doi = "10.1029/2024jh000322",
    volume = "1"
}


@article{https://authors.library.caltech.edu/records/ranze-1vf44,
    title = "Learning about structural errors in models of complex dynamical systems",
    journal = "Journal of Computational Physics",
    year = "2024",
    url = "https://authors.library.caltech.edu/records/ranze-1vf44",
    id = "record",
    issn = "0021-9991",
    doi = "10.1016/j.jcp.2024.113157",
    volume = "513"
}


@article{https://authors.library.caltech.edu/records/ce1pw-npb18,
    title = "Filtering dynamical systems using observations of statistics",
    journal = "Chaos: An Interdisciplinary Journal of Nonlinear Science",
    year = "2024",
    url = "https://authors.library.caltech.edu/records/ce1pw-npb18",
    id = "record",
    issn = "1054-1500",
    doi = "10.1063/5.0171827",
    volume = "34"
}


@article{https://authors.library.caltech.edu/records/z0c0r-2jt68,
    title = "Harnessing AI and computing to advance climate modelling and prediction",
    journal = "Nature Climate Change",
    year = "2023",
    url = "https://authors.library.caltech.edu/records/z0c0r-2jt68",
    id = "record",
    issn = "1758-678X",
    doi = "10.1038/s41558-023-01769-3",
    volume = "13"
}


@article{https://authors.library.caltech.edu/records/9ezja-9a679,
    title = "A simple modeling framework for prediction in the human glucose–insulin system",
    journal = "Chaos: An Interdisciplinary Journal of Nonlinear Science",
    year = "2023",
    url = "https://authors.library.caltech.edu/records/9ezja-9a679",
    id = "record",
    issn = "1054-1500",
    doi = "10.1063/5.0146808",
    volume = "33",
    pmcid = "PMC10368459"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20230613-730765600.19,
    title = "Convergence Rates for Learning Linear Operators from Noisy Data",
    journal = "SIAM/ASA Journal on Uncertainty Quantification",
    year = "2023",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20230613-730765600.19",
    id = "record",
    issn = "2166-2525",
    doi = "10.1137/21m1442942",
    volume = "11"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20230613-155502989,
    title = "Learning Markovian Homogenized Models in Viscoelasticity",
    journal = "Multiscale Modeling \& Simulation",
    year = "2023",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20230613-155502989",
    id = "record",
    issn = "1540-3459",
    doi = "10.1137/22M1499200",
    volume = "21"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20221013-45138000.1,
    title = "Ensemble Kalman inversion for sparse learning of dynamical systems from time-averaged data",
    journal = "Journal of Computational Physics",
    year = "2022",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20221013-45138000.1",
    id = "record",
    issn = "0021-9991",
    doi = "10.1016/j.jcp.2022.111559",
    volume = "470"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20220926-576391900.2,
    title = "Ensemble-Based Experimental Design for Targeting Data Acquisition to Inform Climate Models",
    journal = "Journal of Advances in Modeling Earth Systems",
    year = "2022",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20220926-576391900.2",
    id = "record",
    issn = "1942-2466",
    doi = "10.1029/2022ms002997",
    volume = "14"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20210719-210149563,
    title = "Iterated Kalman methodology for inverse problems",
    journal = "Journal of Computational Physics",
    year = "2022",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20210719-210149563",
    id = "record",
    issn = "0021-9991",
    doi = "10.1016/j.jcp.2022.111262",
    volume = "463"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20210412-121307581,
    title = "Ensemble Inference Methods for Models With Noisy and Expensive Likelihoods",
    journal = "SIAM Journal on Applied Dynamical Systems",
    year = "2022",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20210412-121307581",
    id = "record",
    issn = "1536-0040",
    doi = "10.1137/21M1410853",
    volume = "21"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20210719-210142693,
    title = "Consensus-based sampling",
    journal = "Studies in Applied Mathematics",
    year = "2022",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20210719-210142693",
    id = "record",
    issn = "0022-2526",
    doi = "10.1111/sapm.12470",
    volume = "148"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20220121-968309000,
    title = "Multiscale modeling of materials: Computing, data science, uncertainty and goal-oriented optimization",
    journal = "Mechanics of Materials",
    year = "2022",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20220121-968309000",
    id = "record",
    issn = "0167-6636",
    doi = "10.1016/j.mechmat.2021.104156",
    volume = "165"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20210719-210152979,
    title = "Derivative-Free Bayesian Inversion Using Multiscale Dynamics",
    journal = "SIAM Journal on Applied Dynamical Systems",
    year = "2022",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20210719-210152979",
    id = "record",
    issn = "1536-0040",
    doi = "10.1137/21M1397416",
    volume = "21"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20210225-132721680,
    title = "A learning-based multiscale method and its application to inelastic impact problems",
    journal = "Journal of the Mechanics and Physics of Solids",
    year = "2022",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20210225-132721680",
    id = "record",
    issn = "0022-5096",
    doi = "10.1016/j.jmps.2021.104668",
    volume = "158"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20200331-075759863,
    title = "Spectral analysis of weighted Laplacians arising in data clustering",
    journal = "Applied and Computational Harmonic Analysis",
    year = "2022",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20200331-075759863",
    id = "record",
    issn = "1063-5203",
    doi = "10.1016/j.acha.2021.07.004",
    volume = "56"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20210719-210146136,
    title = "Solving and learning nonlinear PDEs with Gaussian processes",
    journal = "Journal of Computational Physics",
    year = "2021",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20210719-210146136",
    id = "record",
    issn = "0021-9991",
    doi = "10.1016/j.jcp.2021.110668",
    volume = "447"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20201109-141014452,
    title = "Posterior consistency of semi-supervised regression on graphs",
    journal = "Inverse Problems",
    year = "2021",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20201109-141014452",
    id = "record",
    issn = "0266-5611",
    doi = "10.1088/1361-6420/ac1e80",
    volume = "37"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20200527-073449881,
    title = "The Random Feature Model for Input-Output Maps between Banach Spaces",
    journal = "SIAM Journal on Scientific Computing",
    year = "2021",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20200527-073449881",
    id = "record",
    issn = "1064-8275",
    doi = "10.1137/20M133957X",
    volume = "43"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20210113-143919927,
    title = "Calibration and Uncertainty Quantification of Convective Parameters in an Idealized GCM",
    journal = "Journal of Advances in Modelling Earth Systems",
    year = "2021",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20210113-143919927",
    id = "record",
    issn = "1942-2466",
    doi = "10.1029/2020MS002454",
    volume = "13"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20201109-140959408,
    title = "Kernel Analog Forecasting: Multiscale Test Problems",
    journal = "Multiscale Modeling and Simulation",
    year = "2021",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20201109-140959408",
    id = "record",
    issn = "1540-3459",
    doi = "10.1137/20M1338289",
    volume = "19"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20201109-141002843,
    title = "Consistency of empirical Bayes and kernel flow for hierarchical parameter estimation",
    journal = "Mathematics of Computation",
    year = "2021",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20201109-141002843",
    id = "record",
    issn = "0025-5718",
    doi = "10.1090/mcom/3649",
    volume = "90"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20200402-140348174,
    title = "Calibrate, emulate, sample",
    journal = "Journal of Computational Physics",
    year = "2021",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20200402-140348174",
    id = "record",
    issn = "0021-9991",
    doi = "10.1016/j.jcp.2020.109716",
    volume = "424"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20210503-091850360,
    title = "Continuous Time Analysis of Momentum Methods",
    journal = "Journal of Machine Learning Research",
    year = "2021",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20210503-091850360",
    id = "record",
    issn = "1533-7928",
    volume = "22"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20201109-141017891,
    title = "Drift Estimation of Multiscale Diffusions Based on Filtered Data",
    journal = "Foundations of Computational Mathematics",
    year = "2020",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20201109-141017891",
    id = "record",
    issn = "1615-3375",
    doi = "10.1007/s10208-021-09541-9"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20190404-103712251,
    title = "Large Data and Zero Noise Limits of Graph-Based Semi-Supervised Learning Algorithms",
    journal = "Applied and Computational Harmonic Analysis",
    year = "2020",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20190404-103712251",
    id = "record",
    issn = "1063-5203",
    doi = "10.1016/j.acha.2019.03.005",
    volume = "49"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20170612-125032088,
    title = "Reconciling Bayesian and Perimeter Regularization for Binary Inversion",
    journal = "SIAM Journal on Scientific Computing",
    year = "2020",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170612-125032088",
    id = "record",
    issn = "1064-8275",
    doi = "10.1137/18M1179559",
    volume = "42"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20190722-075729960,
    title = "Consistency of Semi-Supervised Learning Algorithms on Graphs: Probit and One-Hot Methods",
    journal = "Journal of Machine Learning Research",
    year = "2020",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20190722-075729960",
    id = "record",
    issn = "1533-7928",
    doi = "10.48550/arXiv.1906.07658",
    volume = "21"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20200506-121245893,
    title = "Site Characterization at Downhole Arrays by Joint Inversion of Dispersion Data and Acceleration Time Series",
    journal = "Bulletin of the Seismological Society of America",
    year = "2020",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20200506-121245893",
    id = "record",
    issn = "0037-1106",
    doi = "10.1785/0120190256",
    volume = "110"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20190722-155900728,
    title = "Diffusive optical tomography in the Bayesian framework",
    journal = "Multiscale Modeling and Simulation",
    year = "2020",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20190722-155900728",
    id = "record",
    issn = "1540-3459",
    doi = "10.1137/19M1247346",
    volume = "18"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20190719-130631059,
    title = "Tikhonov Regularization Within Ensemble Kalman Inversion",
    journal = "SIAM Journal on Numerical Analysis",
    year = "2020",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20190719-130631059",
    id = "record",
    issn = "0036-1429",
    doi = "10.1137/19M1242331",
    volume = "58"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20190722-082837777,
    title = "Inverse optimal transport",
    journal = "SIAM Journal on Applied Mathematics",
    year = "2020",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20190722-082837777",
    id = "record",
    issn = "0036-1399",
    doi = "10.1137/19M1261122",
    volume = "80"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20190722-103410192,
    title = "Interacting Langevin Diffusions: Gradient Structure and Ensemble Kalman Sampler",
    journal = "SIAM Journal on Applied Dynamical Systems",
    year = "2020",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20190722-103410192",
    id = "record",
    issn = "1536-0040",
    doi = "10.1137/19M1251655",
    volume = "19"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20170612-123841285,
    title = "Strong convergence rates of probabilistic integrators for ordinary differential equations",
    journal = "Statistics and Computing",
    year = "2019",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170612-123841285",
    id = "record",
    issn = "0960-3174",
    doi = "10.1007/s11222-019-09898-6",
    volume = "29"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20161221-115035181,
    title = "Diffusion Limit For The Random Walk Metropolis Algorithm Out Of stationarity",
    journal = "Annales De l'Institut Henri Poincaré - Probabilitiés et Statistiques",
    year = "2019",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20161221-115035181",
    id = "record",
    issn = "0246-0203",
    doi = "10.1214/18-AIHP929",
    volume = "55"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20161221-161911353,
    title = "Ergodicity and Accuracy of Optimal Particle Filters for Bayesian Data Assimilation",
    journal = "Chinese Annals of Mathematics, Series B",
    year = "2019",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20161221-161911353",
    id = "record",
    issn = "0252-9599",
    doi = "10.1007/s11401-019-0161-5",
    volume = "40"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20190404-111033209,
    title = "Ensemble Kalman Inversion: A Derivative-Free Technique For Machine Learning Tasks",
    journal = "Inverse Problems",
    year = "2019",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20190404-111033209",
    id = "record",
    issn = "0266-5611",
    doi = "10.1088/1361-6420/ab1c3a",
    volume = "35"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20190722-155445728,
    title = "Ensemble Kalman Methods With Constraints",
    journal = "Inverse Problems",
    year = "2019",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20190722-155445728",
    id = "record",
    issn = "0266-5611",
    doi = "10.1088/1361-6420/ab1c09",
    volume = "35",
    pmcid = "PMC7677878"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20190719-112058516,
    title = "Parameter estimation for macroscopic pedestrian dynamics models from microscopic data",
    journal = "SIAM Journal on Applied Mathematics",
    year = "2019",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20190719-112058516",
    id = "record",
    issn = "0036-1399",
    doi = "10.1137/18M1215980",
    volume = "79"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20190723-085611528,
    title = "Uncertainty quantification for semi-supervised multi-class classification in image processing and ego-motion analysis of body-worn videos",
    journal = "Electronic Imaging",
    year = "2019",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20190723-085611528",
    id = "record",
    issn = "2470-1173",
    doi = "10.2352/ISSN.2470-1173.2019.11.IPAS-264",
    volume = "2019"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20181023-111929468,
    title = "Mechanistic machine learning: how data assimilation leverages physiologic knowledge using Bayesian inference to forecast the future, infer the present, and phenotype",
    journal = "Journal of the American Medical Informatics Association",
    year = "2018",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20181023-111929468",
    id = "record",
    issn = "1067-5027",
    doi = "10.1093/jamia/ocy106",
    volume = "25",
    pmcid = "PMC6188514"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20161220-175620681,
    title = "Non-stationary phase of the MALA algorithm",
    journal = "Stochastics and Partial Differential Equations: Analysis and Computations",
    year = "2018",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20161220-175620681",
    id = "record",
    issn = "2194-0401",
    doi = "10.1007/s40072-018-0113-1",
    volume = "6",
    pmcid = "PMC6411168"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20181108-140320751,
    title = "How Deep Are Deep Gaussian Processes?",
    journal = "Journal of Machine Learning Research",
    year = "2018",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20181108-140320751",
    id = "record",
    issn = "1533-7928",
    doi = "10.48550/arXiv.1711.11280",
    volume = "19"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20180413-092058450,
    title = "Parameterizations for ensemble Kalman inversion",
    journal = "Inverse Problems",
    year = "2018",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20180413-092058450",
    id = "record",
    issn = "0266-5611",
    doi = "10.1088/1361-6420/aab6d9",
    volume = "34"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20170712-141757416,
    title = "Uncertainty Quantification in Graph-Based Classification of High Dimensional Data",
    journal = "SIAM/ASA Journal on Uncertainty Quantification",
    year = "2018",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170712-141757416",
    id = "record",
    issn = "2166-2525",
    doi = "10.1137/17M1134214",
    volume = "6"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20161221-110122611,
    title = "Weak error estimates for trajectories of SPDEs for Spectral Galerkin discretization",
    journal = "Journal of Computational Mathematics",
    year = "2018",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20161221-110122611",
    id = "record",
    issn = "0254-9409",
    doi = "10.4208/jcm.1607-m2016-0539",
    volume = "36"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20161221-104520265,
    title = "Posterior consistency for Gaussian process approximations of Bayesian posterior distributions",
    journal = "Mathematics of Computation",
    year = "2018",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20161221-104520265",
    id = "record",
    issn = "0025-5718",
    doi = "10.1090/mcom/3244",
    volume = "87"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20170801-155824887,
    title = "Iterative Updating of Model Error for Bayesian Inversion",
    journal = "Inverse Problems",
    year = "2018",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170801-155824887",
    id = "record",
    issn = "0266-5611",
    doi = "10.1088/1361-6420/aaa34d",
    volume = "34"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20180102-081954370,
    title = "Convergence analysis of ensemble Kalman inversion: the linear, noisy case",
    journal = "Applicable Analysis: An International Journal",
    year = "2018",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20180102-081954370",
    id = "record",
    issn = "0003-6811",
    doi = "10.1080/00036811.2017.1386784",
    volume = "97"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20171201-113659166,
    title = "Earth System Modeling 2.0: A Blueprint for Models That Learn From Observations and Targeted High-Resolution Simulations",
    journal = "Geophysical Research Letters",
    year = "2017",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20171201-113659166",
    id = "record",
    issn = "0094-8276",
    doi = "10.1002/2017GL076101",
    volume = "44"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20161221-163341129,
    title = "Gaussian Approximations for Probability Measures on R^d",
    journal = "SIAM/ASA Journal on Uncertainty Quantification",
    year = "2017",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20161221-163341129",
    id = "record",
    issn = "2166-2525",
    doi = "10.1137/16M1105384",
    volume = "5"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20161109-074003000,
    title = "Hierarchical Bayesian level set inversion",
    journal = "Statistics and Computing",
    year = "2017",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20161109-074003000",
    id = "record",
    issn = "0960-3174",
    doi = "10.1007/s11222-016-9704-8",
    volume = "27"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20161220-181911579,
    title = "Gaussian Approximations of Small Noise Diffusions in Kullback-Leibler Divergence",
    journal = "Communications in Mathematical Sciences",
    year = "2017",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20161220-181911579",
    id = "record",
    issn = "1539-6746",
    doi = "10.4310/CMS.2017.v15.n7.a13",
    volume = "15"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20161221-114242057,
    title = "Importance Sampling: Intrinsic Dimension and Computational Cost",
    journal = "Statistical Science",
    year = "2017",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20161221-114242057",
    id = "record",
    issn = "0883-4237",
    doi = "10.1214/17-STS611",
    volume = "32"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20170921-105427126,
    title = "Gaussian Approximations for Transition Paths in Brownian Dynamics",
    journal = "SIAM Journal on Mathematical Analysis",
    year = "2017",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170921-105427126",
    id = "record",
    issn = "0036-1410",
    doi = "10.1137/16M1071845",
    volume = "49"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20170609-133754387,
    title = "Statistical analysis of differential equations: introducing probability measures on numerical solutions",
    journal = "Statistics and Computing",
    year = "2017",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170609-133754387",
    id = "record",
    issn = "0960-3174",
    doi = "10.1007/s11222-016-9671-0",
    volume = "27"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20161221-112013537,
    title = "Analysis of the ensemble Kalman filter for inverse problems",
    journal = "SIAM Journal on Numerical Analysis",
    year = "2017",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20161221-112013537",
    id = "record",
    issn = "0036-1429",
    doi = "10.1137/16M105959X",
    volume = "55"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20161221-105527857,
    title = "Quasi-Monte Carlo and Multilevel Monte Carlo Methods for Computing Posterior Expectations in Elliptic Inverse Problems",
    journal = "SIAM/ASA Journal on Uncertainty Quantification",
    year = "2017",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20161221-105527857",
    id = "record",
    issn = "2166-2525",
    doi = "10.1137/16M1061692",
    volume = "5"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20161220-181119556,
    title = "Geometric MCMC for Infinite-Dimensional Inverse Problems",
    journal = "Journal of Computational Physics",
    year = "2017",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20161220-181119556",
    id = "record",
    issn = "0021-9991",
    doi = "10.1016/j.jcp.2016.12.041",
    volume = "335"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20161221-113147238,
    title = "Filter Based Methods For Statistical Linear Inverse Problems",
    journal = "Communications in Mathematical Sciences",
    year = "2017",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20161221-113147238",
    id = "record",
    issn = "1539-6746",
    doi = "10.4310/CMS.2017.v15.n7.a4",
    volume = "15"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20161221-112623998,
    title = "Derivation and analysis of simplified filters",
    journal = "Communications in Mathematical Sciences",
    year = "2017",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20161221-112623998",
    id = "record",
    issn = "1539-6746",
    doi = "10.4310/CMS.2017.v15.n2.a6",
    volume = "15"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20170113-072909521,
    title = "The Bayesian formulation of EIT: Analysis and algorithms",
    journal = "Inverse Problems and Imaging",
    year = "2016",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170113-072909521",
    id = "record",
    issn = "1930-8345",
    doi = "10.3934/ipi.2016030",
    volume = "10"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20170612-142444027,
    title = "MAP estimators for piecewise continuous inversion",
    journal = "Inverse Problems",
    year = "2016",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170612-142444027",
    id = "record",
    issn = "0266-5611",
    doi = "10.1088/0266-5611/32/10/105003",
    volume = "32"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20160715-152128338,
    title = "Filter accuracy for the Lorenz 96 model: fixed versus adaptive observation operators",
    journal = "Physica D: Nonlinear Phenomena",
    year = "2016",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160715-152128338",
    id = "record",
    issn = "0167-2789",
    doi = "10.1016/j.physd.2015.12.008",
    volume = "325"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20161111-103206810,
    title = "Mathematics, Statistics and Data Science",
    journal = "EMS Newsletter",
    year = "2016",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20161111-103206810",
    id = "record",
    issn = "1027-488X",
    volume = "100"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20160715-161420502,
    title = "A Function Space HMC Algorithm With Second Order Langevin Diffusion Limit",
    journal = "Bernoulli",
    year = "2016",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160715-161420502",
    id = "record",
    issn = "1350-7265",
    doi = "10.3150/14-BEJ621",
    volume = "22"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20161221-114630868,
    title = "A Bayesian Level Set Method for Geometric Inverse Problems",
    journal = "Interfaces and Free Boundaries",
    year = "2016",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20161221-114630868",
    id = "record",
    issn = "1463-9971",
    doi = "10.4171/IFB/362",
    volume = "18"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20160715-165131732,
    title = "Long-Time Asymptotics of the Filtering Distribution for Partially Observed Chaotic Dynamical Systems",
    journal = "SIAM/ASA Journal on Uncertainty Quantification",
    year = "2015",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160715-165131732",
    id = "record",
    issn = "2166-2525",
    doi = "10.1137/140997336",
    volume = "3"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20160715-172126693,
    title = "Sequential Monte Carlo methods for Bayesian elliptic inverse problems",
    journal = "Statistics and Computing",
    year = "2015",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160715-172126693",
    id = "record",
    issn = "1573-1375",
    doi = "10.1007/s11222-015-9556-7",
    volume = "25"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20160715-172927058,
    title = "A Multiscale Analysis of Diffusions on Rapidly Varying Surfaces",
    journal = "Journal of Nonlinear Science",
    year = "2015",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160715-172927058",
    id = "record",
    issn = "0938-8974",
    doi = "10.1007/s00332-015-9237-x",
    volume = "25"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20161111-104214792,
    title = "Data Assimilation: New Challenges in Random and Stochastic Dynamical Systems",
    journal = "SIAM News",
    year = "2015",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20161111-104214792",
    id = "record",
    issn = "1557-9573",
    volume = "48"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20160715-163821138,
    title = "Algorithms for Kullback--Leibler Approximation of Probability Measures in Infinite Dimensions",
    journal = "SIAM Journal on Scientific Computing",
    year = "2015",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160715-163821138",
    id = "record",
    issn = "1064-8275",
    doi = "10.1137/14098171X",
    volume = "37"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20160715-170335769,
    title = "Kullback-Leibler approximation for probability measures on infinite dimensional spaces",
    journal = "SIAM Journal on Mathematical Analysis",
    year = "2015",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160715-170335769",
    id = "record",
    issn = "0036-1410",
    doi = "10.1137/140962802",
    volume = "47"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20160719-144104557,
    title = "Spectral gaps for a Metropolis–Hastings algorithm in infinite dimensions",
    journal = "Annals of Applied Probability",
    year = "2014",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160719-144104557",
    id = "record",
    issn = "1050-5164",
    doi = "10.1214/13-AAP982",
    volume = "24"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20160719-114834043,
    title = "Well-posed Bayesian geometric inverse problems arising in subsurface flow",
    journal = "Inverse Problems",
    year = "2014",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160719-114834043",
    id = "record",
    issn = "0266-5611",
    doi = "10.1088/0266-5611/30/11/114001",
    volume = "30"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20160719-143029648,
    title = "Well-posedness and accuracy of the ensemble Kalman filter in discrete and continuous time",
    journal = "Nonlinearity",
    year = "2014",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160719-143029648",
    id = "record",
    issn = "0951-7715",
    doi = "10.1088/0951-7715/27/10/2579",
    volume = "27"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20160719-141859444,
    title = "Analysis of the Gibbs Sampler for Hierarchical Inverse Problems",
    journal = "SIAM/ASA Journal on Uncertainty Quantification",
    year = "2014",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160719-141859444",
    id = "record",
    issn = "2166-2525",
    doi = "10.1137/130944229",
    volume = "2"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20160719-150657732,
    title = "Determining white noise forcing from Eulerian observations in the Navier-Stokes equation",
    journal = "Stochastic Partial Differential Equations: Analysis and Computations",
    year = "2014",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160719-150657732",
    id = "record",
    issn = "2194-041X",
    doi = "10.1007/s40072-014-0028-4",
    volume = "2"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20160719-151308932,
    title = "Bayesian posterior contraction rates for linear severely ill-posed inverse problems",
    journal = "Journal of Inverse and Ill-posed Problems",
    year = "2014",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160719-151308932",
    id = "record",
    issn = "1569-3945",
    doi = "10.1515/jip-2012-0071",
    volume = "22"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20160719-145056000,
    title = "Noisy gradient flow from a random walk in Hilbert space",
    journal = "Stochastic Partial Differential Equations: Analysis and Computations",
    year = "2014",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160719-145056000",
    id = "record",
    issn = "2194-041X",
    doi = "10.1007/s40072-014-0029-3",
    volume = "2"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20160719-152032603,
    title = "Analysis of the 3DVAR filter for the partially observed Lorenz'63 model",
    journal = "Discrete and Continuous Dynamical Systems A",
    year = "2014",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160719-152032603",
    id = "record",
    issn = "1553-5231",
    doi = "10.3934/dcds.2014.34.1061",
    volume = "34"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20161111-105218524,
    title = "Inverse Problems and Uncertainty Quantification",
    journal = "SIAM News",
    year = "2014",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20161111-105218524",
    id = "record",
    issn = "1557-9573"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20160726-155502558,
    title = "Optimal tuning of the hybrid Monte Carlo algorithm",
    journal = "Bernoulli",
    year = "2013",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160726-155502558",
    id = "record",
    issn = "1350-7265",
    doi = "10.3150/12-BEJ414",
    volume = "19"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20160727-163931558,
    title = "Posterior contraction rates for the Bayesian approach to linear ill-posed inverse problems",
    journal = "Stochastic Processes and their Applications",
    year = "2013",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160727-163931558",
    id = "record",
    issn = "0304-4149",
    doi = "10.1016/j.spa.2013.05.001",
    volume = "123"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20160727-154930631,
    title = "MAP estimators and their consistency in Bayesian nonparametric inverse problems",
    journal = "Inverse Problems",
    year = "2013",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160727-154930631",
    id = "record",
    issn = "0266-5611",
    doi = "10.1088/0266-5611/29/9/095017",
    volume = "29"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20160727-155941152,
    title = "MCMC Methods for Functions: Modifying Old Algorithms to Make Them Faster",
    journal = "Statistical Science",
    year = "2013",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160727-155941152",
    id = "record",
    issn = "0883-4237",
    doi = "10.1214/13-STS421",
    volume = "28"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20160727-163339156,
    title = "Complexity analysis of accelerated MCMC methods for Bayesian inversion",
    journal = "Inverse Problems",
    year = "2013",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160727-163339156",
    id = "record",
    issn = "0266-5611",
    doi = "10.1088/0266-5611/29/8/085010",
    volume = "29"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20160726-141854847,
    title = "Accuracy and stability of the continuous-time 3DVAR filter for the Navier–Stokes equation",
    journal = "Nonlinearity",
    year = "2013",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160726-141854847",
    id = "record",
    issn = "0951-7715",
    doi = "10.1088/0951-7715/26/8/2193",
    volume = "26"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20160727-153428298,
    title = "Evaluation of Gaussian approximations for data assimilation in reservoir models",
    journal = "Computational Geosciences",
    year = "2013",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160727-153428298",
    id = "record",
    issn = "1420-0597",
    doi = "10.1007/s10596-013-9359-x",
    volume = "17"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20160727-180147046,
    title = "Ensemble Kalman methods for inverse problems",
    journal = "Inverse Problems",
    year = "2013",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160727-180147046",
    id = "record",
    issn = "0266-5611",
    doi = "10.1088/0266-5611/29/4/045001",
    volume = "29"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20160727-180601953,
    title = "Accuracy and stability of filters for dissipative PDEs",
    journal = "Physica D: Nonlinear Phenomena",
    year = "2013",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160727-180601953",
    id = "record",
    issn = "0167-2789",
    doi = "10.1016/j.physd.2012.11.005",
    volume = "245"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20160727-175235615,
    title = "Posterior consistency via precision operators for Bayesian nonparametric drift estimation in SDEs",
    journal = "Stochastic Processes and their Applications",
    year = "2013",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160727-175235615",
    id = "record",
    issn = "0304-4149",
    doi = "10.1016/j.spa.2012.08.010",
    volume = "123"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20160728-150141693,
    title = "Optimal scaling and diffusion limits for the Langevin algorithm in high dimensions",
    journal = "Annals of Applied Probability",
    year = "2012",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160728-150141693",
    id = "record",
    issn = "1050-5164",
    doi = "10.1214/11-AAP828",
    volume = "22"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20160728-150615482,
    title = "Evaluating Data Assimilation Algorithms",
    journal = "Monthly Weather Review",
    year = "2012",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160728-150615482",
    id = "record",
    issn = "0027-0644",
    doi = "10.1175/MWR-D-11-00257.1",
    volume = "140"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20160728-152807075,
    title = "Nonparametric estimation of diffusions: a differential equations approach",
    journal = "Biometrika",
    year = "2012",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160728-152807075",
    id = "record",
    issn = "1464-3510",
    doi = "10.1093/biomet/ass034",
    volume = "99"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20160728-154635836,
    title = "Diffusion limits of the random walk Metropolis algorithm in high dimensions",
    journal = "Annals of Applied Probability",
    year = "2012",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160728-154635836",
    id = "record",
    issn = "1050-5164",
    doi = "10.1214/10-AAP754",
    volume = "22"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20160728-153255881,
    title = "Besov priors for Bayesian inverse problems",
    journal = "Inverse Problems and Imaging",
    year = "2012",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160728-153255881",
    id = "record",
    issn = "1930-8345",
    doi = "10.3934/ipi.2012.6.183",
    volume = "6"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20160728-155039916,
    title = "Sparse determinisitc approximation of Bayesian inverse problems",
    journal = "Inverse Problems",
    year = "2012",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160728-155039916",
    id = "record",
    issn = "0266-5611",
    doi = "10.1088/0266-5611/28/4/045003",
    volume = "28"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20160728-155454420,
    title = "Γ-Limit for Transition Paths of Maximal Probability",
    journal = "Journal of Statistical Physics",
    year = "2012",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160728-155454420",
    id = "record",
    issn = "0022-4715",
    doi = "10.1007/s10955-012-0443-8",
    volume = "146"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20160728-160352524,
    title = "Variational data assimilation using targetted random walks",
    journal = "International Journal for Numerical Methods in Fluids",
    year = "2012",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160728-160352524",
    id = "record",
    issn = "0271-2091",
    doi = "10.1002/fld.2510",
    volume = "68"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20160728-160946614,
    title = "Uncertainty Quantification and Weak Approximation of an Elliptic Inverse Problem",
    journal = "SIAM Journal on Numerical Analysis",
    year = "2011",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160728-160946614",
    id = "record",
    issn = "0036-1429",
    doi = "10.1137/100814664",
    volume = "49"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20160804-150437807,
    title = "Hybrid Monte Carlo on Hilbert spaces",
    journal = "Stochastic Processes and their Applications",
    year = "2011",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160804-150437807",
    id = "record",
    issn = "0304-4149",
    doi = "10.1016/j.spa.2011.06.003",
    volume = "121"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20160801-175538072,
    title = "Kalman filtering and smoothing for linear wave equations with model error",
    journal = "Inverse Problems",
    year = "2011",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160801-175538072",
    id = "record",
    issn = "0266-5611",
    doi = "10.1088/0266-5611/27/9/095008",
    volume = "27"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20160804-164518594,
    title = "A note on diffusion limits of chaotic skew-product flows",
    journal = "Nonlinearity",
    year = "2011",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160804-164518594",
    id = "record",
    issn = "0951-7715",
    doi = "10.1088/0951-7715/24/4/018",
    volume = "24"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20160804-162713014,
    title = "Sampling conditioned hypoelliptic diffusions",
    journal = "Annals of Applied Probability",
    year = "2011",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160804-162713014",
    id = "record",
    issn = "1050-5164",
    doi = "10.1214/10-AAP708",
    volume = "21"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20170612-075052519,
    title = "Random-weight particle filtering of continuous time processes",
    journal = "Journal of the Royal Statistical Society: Series B",
    year = "2010",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170612-075052519",
    id = "record",
    issn = "1369-7412",
    doi = "10.1111/j.1467-9868.2010.00744.x",
    volume = "72"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20160804-164847166,
    title = "Random-weight particle filtering of continuous time processes",
    journal = "Statistical Methodology",
    year = "2010",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160804-164847166",
    id = "record",
    issn = "1467-9868",
    doi = "10.1111/j.1467-9868.2010.00744.x",
    volume = "72"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20161108-161530502,
    title = "Transition paths in molecules at finite temperature",
    journal = "Journal of Chemical Physics",
    year = "2010",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20161108-161530502",
    id = "record",
    issn = "0021-9606",
    doi = "10.1063/1.3391160",
    volume = "132"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20160804-165401982,
    title = "Convergence of numerical time-averaging and stationary measures via Poisson equations",
    journal = "SIAM Journal of Numerical Analysis",
    year = "2010",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160804-165401982",
    id = "record",
    issn = "0036-1429",
    doi = "10.1137/090770527",
    volume = "48"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20161111-112136150,
    title = "Inverse problems: A Bayesian perspective",
    journal = "Acta Numerica",
    year = "2010",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20161111-112136150",
    id = "record",
    issn = "0962-4929",
    doi = "10.1017/S0962492910000061",
    volume = "19"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20160804-170531840,
    title = "Approximation of Bayesian Inverse Problems for PDEs",
    journal = "SIAM Journal on Numerical Analysis",
    year = "2010",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160804-170531840",
    id = "record",
    issn = "0036-1429",
    doi = "10.1137/090770734",
    volume = "48"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20160805-151904215,
    title = "Bayesian inverse problems for functions and applications to fluid mechanics",
    journal = "Inverse Problems",
    year = "2009",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160805-151904215",
    id = "record",
    issn = "0266-5611",
    doi = "10.1088/0266-5611/25/11/115008",
    volume = "25"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20160805-152349945,
    title = "Remarks on Drift Estimation for Diffusion Processes",
    journal = "Multiscale Modeling and Simulation",
    year = "2009",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160805-152349945",
    id = "record",
    issn = "1540-3459",
    doi = "10.1137/070694806",
    volume = "8"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20160805-153633492,
    title = "Maximum likelihood drift estimation for multiscale diffusions",
    journal = "Stochastic Processes and their Applications",
    year = "2009",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160805-153633492",
    id = "record",
    issn = "0304-4149",
    doi = "10.1016/j.spa.2009.05.003",
    volume = "119"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20160805-153017689,
    title = "Optimal scalings for local Metropolis–Hastings chains on nonproduct targets in high dimensions",
    journal = "Annals of Applied Probability",
    year = "2009",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160805-153017689",
    id = "record",
    issn = "1050-5164",
    doi = "10.1214/08-AAP563",
    volume = "19"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20160805-155749338,
    title = "Calculating effective diffusivities in the limit of vanishing molecular diffusion",
    journal = "Journal of Computational Physics",
    year = "2009",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160805-155749338",
    id = "record",
    issn = "0021-9991",
    doi = "10.1016/j.jcp.2008.10.014",
    volume = "288"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20161108-165631300,
    title = "Parameter estimation for partially observed hypo-elliptic diffusions",
    journal = "Journal of the Royal Society: Series B (Statistical Methodology)",
    year = "2009",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20161108-165631300",
    id = "record",
    issn = "1467-9868",
    doi = "10.1111/j.1467-9868.2008.00689.x",
    volume = "71"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20160805-155341773,
    title = "Parameter estimation for partially observed hypoelliptic diffusions",
    journal = "Statistical Methodology",
    year = "2009",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160805-155341773",
    id = "record",
    issn = "1467-9868",
    doi = "10.1111/j.1467-9868.2008.00689.x",
    volume = "71"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20160805-165106874,
    title = "MCMC Methods for Diffusion Bridges",
    journal = "Stochastics and Dynamics",
    year = "2008",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160805-165106874",
    id = "record",
    issn = "1793-6799",
    doi = "10.1142/S0219493708002378",
    volume = "8"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20160805-165730529,
    title = "Data assimilation: Mathematical and statistical perspectives",
    journal = "International Journal for Numerical Methods in Fluids",
    year = "2008",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20160805-165730529",
    id = "record",
    issn = "0271-2091",
    doi = "10.1002/fld.1698",
    volume = "56"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20161108-173409695,
    title = "A Bayesian approach to Lagrangian data assimilation",
    journal = "Tellus A",
    year = "2008",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20161108-173409695",
    id = "record",
    issn = "0280-6495",
    doi = "10.1111/j.1600-0870.2007.00295.x",
    volume = "60"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20170612-132345468,
    title = "An adaptive Euler-Maruyama scheme for SDEs: convergence and stability",
    journal = "IMA Journal of Numerical Analysis",
    year = "2007",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170612-132345468",
    id = "record",
    issn = "0272-4979",
    doi = "10.1093/imanum/drl032",
    volume = "27"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20170609-130839195,
    title = "Sampling the posterior: An approach to non-Gaussian data assimilation",
    journal = "Physica D",
    year = "2007",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170609-130839195",
    id = "record",
    issn = "0167-2789",
    doi = "10.1016/j.physd.2006.06.009",
    volume = "230"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20170613-124705885,
    title = "Parameter Estimation for Multiscale Diffusions",
    journal = "Journal of Statistical Physics",
    year = "2007",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170613-124705885",
    id = "record",
    issn = "0022-4715",
    doi = "10.1007/s10955-007-9300-6",
    volume = "127"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20161108-174342361,
    title = "Homogenization for inertial particles in a random flow",
    journal = "Communications in Mathematical Sciences",
    year = "2007",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20161108-174342361",
    id = "record",
    issn = "1539-6746",
    doi = "10.4310/CMS.2007.v5.n3.a1",
    volume = "5"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20170613-080132206,
    title = "Analysis of SPDEs arising in path sampling part II: The nonlinear case",
    journal = "Annals of Applied Probability",
    year = "2007",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170613-080132206",
    id = "record",
    issn = "1050-5164",
    doi = "10.1214/07-AAP441",
    volume = "17"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20170612-131025773,
    title = "The Moment Map: Nonlinear Dynamics of Density Evolution via a Few Moments",
    journal = "SIAM Journal on Applied Dynamical Systems",
    year = "2006",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170612-131025773",
    id = "record",
    issn = "1536-0040",
    doi = "10.1137/050638667",
    volume = "5"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20170612-130002475,
    title = "Analysis of White Noise Limits for Stochastic Systems with Two Fast Relaxation Times",
    journal = "Multiscale Modeling and Simulation",
    year = "2005",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170612-130002475",
    id = "record",
    issn = "1540-3459",
    doi = "10.1137/040610507",
    volume = "4"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20170609-143518545,
    title = "Periodic homogenization for inertial particles",
    journal = "Physica D",
    year = "2005",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170609-143518545",
    id = "record",
    issn = "0167-2789",
    doi = "10.1016/j.physd.2005.04.011",
    volume = "204"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20170612-141658808,
    title = "Analysis of SPDEs arising in path sampling. Part I: The Gaussian case",
    journal = "Communications in Mathematical Sciences",
    year = "2005",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170612-141658808",
    id = "record",
    issn = "1539-6746",
    doi = "10.4310/CMS.2005.v3.n4.a8",
    volume = "3"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20170609-143006730,
    title = "Fitting SDE models to nonlinear Kac–Zwanzig heat bath models",
    journal = "Physica D",
    year = "2004",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170609-143006730",
    id = "record",
    issn = "0167-2789",
    doi = "10.1016/j.physd.2004.04.011",
    volume = "199"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20170612-144819276,
    title = "Conditional Path Sampling of SDEs and the Langevin MCMC Method",
    journal = "Communications in Mathematical Sciences",
    year = "2004",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170612-144819276",
    id = "record",
    issn = "1539-6746",
    doi = "10.4310/CMS.2004.v2.n4.a7",
    volume = "2"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20170609-153344149,
    title = "Extracting macroscopic dynamics: model problems and algorithms",
    journal = "Nonlinearity",
    year = "2004",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170609-153344149",
    id = "record",
    issn = "0951-7715",
    doi = "10.1088/0951-7715/17/6/R01",
    volume = "17"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20170612-132002885,
    title = "Itô versus Stratonovich white-noise limits for systems with inertia and colored multiplicative noise",
    journal = "Physical Review E",
    year = "2004",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170612-132002885",
    id = "record",
    issn = "1539-3755",
    doi = "10.1103/PhysRevE.70.036120",
    volume = "70"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20170609-165633126,
    title = "White Noise Limits for Inertial Particles in a Random Field",
    journal = "Multiscale Modeling and Simulation",
    year = "2003",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170609-165633126",
    id = "record",
    issn = "1540-3459",
    doi = "10.1137/S1540345903421076",
    volume = "1"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20170609-144239769,
    title = "Extracting macroscopic stochastic dynamics: Model problems",
    journal = "Communications on Pure and Applied Mathematics",
    year = "2003",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170609-144239769",
    id = "record",
    issn = "0010-3640",
    doi = "10.1002/cpa.10057",
    volume = "56"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20170612-133950435,
    title = "Exponential Mean-Square Stability of Numerical Solutions to Stochastic Differential Equations",
    journal = "LMS Journal of Computation and Mathematics",
    year = "2003",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170612-133950435",
    id = "record",
    issn = "1461-1570",
    doi = "10.1112/S1461157000000462",
    volume = "6"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20170612-072429575,
    title = "Long-Term Behavior of Large Mechanical Systems with Random Initial Data",
    journal = "Stochastics and Dynamics",
    year = "2002",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170612-072429575",
    id = "record",
    issn = "1793-6799",
    doi = "10.1142/S0219493702000571",
    volume = "02"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20170609-152746245,
    title = "A model for preferential concentration",
    journal = "Physics of Fluids",
    year = "2002",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170609-152746245",
    id = "record",
    issn = "1070-6631",
    doi = "10.1063/1.1517603",
    volume = "14"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20170609-125050787,
    title = "Ergodicity for SDEs and approximations: locally Lipschitz vector fields and degenerate noise",
    journal = "Stochastic Processes and their Applications",
    year = "2002",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170609-125050787",
    id = "record",
    issn = "0304-4149",
    doi = "10.1016/S0304-4149(02)00150-3",
    volume = "101"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20170613-133526351,
    title = "Strong Convergence of Euler-Type Methods for Nonlinear Stochastic Differential Equations",
    journal = "SIAM Journal on Numerical Analysis",
    year = "2002",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170613-133526351",
    id = "record",
    issn = "0036-1429",
    doi = "10.1137/S0036142901389530",
    volume = "40"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20170609-164822143,
    title = "The dynamical behavior of the discontinuous Galerkin method and related difference schemes",
    journal = "Mathematics of Computation",
    year = "2002",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170609-164822143",
    id = "record",
    issn = "0025-5718",
    doi = "10.1090/S0025-5718-01-01364-3",
    volume = "71"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20170612-073927763,
    title = "Inertial Particles in a Random Field",
    journal = "Stochastics and Dynamics",
    year = "2002",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170612-073927763",
    id = "record",
    issn = "1793-6799",
    doi = "10.1142/S021949370200042X",
    volume = "02"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20170613-125012320,
    title = "Geometric Ergodicity of Some Hypo-Elliptic Diffusions for Particle Motions",
    journal = "Markov Processes And Related Fields",
    year = "2002",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170613-125012320",
    id = "record",
    issn = "1024-2953",
    volume = "8"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20170612-063817274,
    title = "Algorithms for Particle-Field Simulations with Collisions",
    journal = "Journal of Computational Physics",
    year = "2001",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170612-063817274",
    id = "record",
    issn = "0021-9991",
    doi = "10.1006/jcph.2001.6858",
    volume = "172"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20170609-132504945,
    title = "Underresolved Simulations of Heat Baths",
    journal = "Journal of Computational Physics",
    year = "2001",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170609-132504945",
    id = "record",
    issn = "0021-9991",
    doi = "10.1006/jcph.2001.6722",
    volume = "169"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20170613-130016747,
    title = "Stiff Oscillatory Systems, Delta Jumps and White Noise",
    journal = "Foundations of Computational Mathematics",
    year = "2001",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170613-130016747",
    id = "record",
    issn = "1615-3375",
    doi = "10.1007/s10208001002",
    volume = "1"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20170613-080747440,
    title = "A Perturbation Theory for Ergodic Markov Chains and Application to Numerical Approximations",
    journal = "SIAM Journal on Numerical Analysis",
    year = "2000",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170613-080747440",
    id = "record",
    issn = "0036-1429",
    doi = "10.1137/S0036142998337235",
    volume = "37"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20170609-161129844,
    title = "Analysis and Experiments for a Computational Model of a Heat Bath",
    journal = "Journal of Statistical Physics",
    year = "1999",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170609-161129844",
    id = "record",
    issn = "0022-4715",
    doi = "10.1023/A:1004667325896",
    volume = "97"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20170609-124028394,
    title = "Ergodicity of Dissipative Differential Equations Subject to Random Impulses",
    journal = "Journal of Differential Equations",
    year = "1999",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170609-124028394",
    id = "record",
    issn = "0022-0396",
    doi = "10.1006/jdeq.1998.3594",
    volume = "155"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20170609-164025962,
    title = "Qualitative properties of modified equations",
    journal = "IMA Journal of Numerical Analysis",
    year = "1999",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170609-164025962",
    id = "record",
    issn = "0272-4979",
    doi = "10.1093/imanum/19.2.169",
    volume = "19"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20170609-154149149,
    title = "Convergence results for the MATLAB ODE23 routine",
    journal = "BIT Numerical Mathematics",
    year = "1998",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170609-154149149",
    id = "record",
    issn = "0006-3835",
    doi = "10.1007/BF02510413",
    volume = "38"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20170612-134545090,
    title = "Space-Time Continuous Analysis of Waveform Relaxation for the Heat Equation",
    journal = "SIAM Journal on Scientific Computing",
    year = "1998",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170612-134545090",
    id = "record",
    issn = "1064-8275",
    doi = "10.1137/S1064827596305337",
    volume = "19"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20170612-143618623,
    title = "On the Solution of Convection-Diffusion Boundary Value Problems Using Equidistributed Grids",
    journal = "SIAM Journal on Scientific Computing",
    year = "1998",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170612-143618623",
    id = "record",
    issn = "1064-8275",
    doi = "10.1137/S1064827595280454",
    volume = "20"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20170609-123316540,
    title = "Persistence of Invariant Sets for Dissipative Evolution Equations",
    journal = "Journal of Mathematical Analysis and Applictions",
    year = "1998",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170609-123316540",
    id = "record",
    issn = "0022-247X",
    doi = "10.1006/jmaa.1997.5847",
    volume = "219"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20170613-110046810,
    title = "Analysis of the dynamics of local error control via a piecewise continuous residual",
    journal = "BIT Numerical Mathematics",
    year = "1998",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170613-110046810",
    id = "record",
    issn = "0006-3835",
    doi = "10.1007/BF02510916",
    volume = "38"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20170612-145717225,
    title = "Waveform relaxation as a dynamical system",
    journal = "Mathematics of Computation",
    year = "1997",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170612-145717225",
    id = "record",
    issn = "0025-5718",
    doi = "10.1090/S0025-5718-97-00847-8",
    volume = "66"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20170613-132616648,
    title = "Probabilistic and deterministic convergence proofs for
 software for initial value problems",
    journal = "Numerical Algorithms",
    year = "1997",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170613-132616648",
    id = "record",
    issn = "1017-1398",
    doi = "10.1023/A:1019169114976",
    volume = "14"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20170609-125856997,
    title = "Viscous Cahn–Hilliard Equation II. Analysis",
    journal = "Journal of Differential Equations",
    year = "1996",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170609-125856997",
    id = "record",
    issn = "0022-0396",
    doi = "10.1006/jdeq.1996.0101",
    volume = "128"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20170613-084044146,
    title = "The Essential Stability of Local Error Control for Dynamical Systems",
    journal = "SIAM Journal on Numerical Analysis",
    year = "1995",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170613-084044146",
    id = "record",
    issn = "0036-1429",
    doi = "10.1137/0732087",
    volume = "32"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20170612-064633625,
    title = "Attractive Invariant Manifolds under Approximation. Inertial Manifolds",
    journal = "Journal of Differential Equations",
    year = "1995",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170612-064633625",
    id = "record",
    issn = "0022-0396",
    doi = "10.1006/jdeq.1995.1174",
    volume = "123"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20170613-104839336,
    title = "The rate of error growth in Hamiltonian-conserving integrators",
    journal = "Zeitschrift für Angewandte Mathematik und Physik",
    year = "1995",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170613-104839336",
    id = "record",
    issn = "0044-2275",
    doi = "10.1007/BF01003559",
    volume = "46"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20170613-143108777,
    title = "Discrete Gevrey regularity attractors and uppers–semicontinuity for a finite difference approximation to the Ginzburg–Landau equation",
    journal = "Numerical Functional Analysis and Optimization",
    year = "1995",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170613-143108777",
    id = "record",
    issn = "0163-0563",
    doi = "10.1080/01630569508816658",
    volume = "16"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20170612-135245414,
    title = "The viscous Cahn-Hilliard equation. I. Computations",
    journal = "Nonlinearity",
    year = "1995",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170612-135245414",
    id = "record",
    issn = "0951-7715",
    doi = "10.1088/0951-7715/8/2/002",
    volume = "8"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20170609-122809369,
    title = "Numerical computations of coarsening in the one-dimensional Cahn-Hilliard model of phase separation",
    journal = "Physica D",
    year = "1994",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170609-122809369",
    id = "record",
    issn = "0167-2789",
    doi = "10.1016/0167-2789(94)90112-0",
    volume = "78"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20170613-084043889,
    title = "Runge–Kutta Methods for Dissipative and Gradient Dynamical Systems",
    journal = "SIAM Journal on Numerical Analysis",
    year = "1994",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170613-084043889",
    id = "record",
    issn = "0036-1429",
    doi = "10.1137/0731075",
    volume = "31"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20170613-120606856,
    title = "Blow-up in a System of Partial Differential Equations with Conserved First Integral. Part II: Problems with Convection",
    journal = "SIAM Journal on Applied Mathematics",
    year = "1994",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170613-120606856",
    id = "record",
    issn = "0036-1399",
    doi = "10.1137/S0036139992232131",
    volume = "54"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20170613-100013806,
    title = "Model Problems in Numerical Stability Theory for Initial Value Problems",
    journal = "SIAM Review",
    year = "1994",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170613-100013806",
    id = "record",
    issn = "0036-1445",
    doi = "10.1137/1036054",
    volume = "36"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20170613-082428693,
    title = "Numerical analysis of dynamical systems",
    journal = "Acta Numerica",
    year = "1994",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170613-082428693",
    id = "record",
    issn = "0962-4929",
    doi = "10.1017/S0962492900002488",
    volume = "3"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20170613-070150162,
    title = "The Global Dynamics of Discrete Semilinear Parabolic Equations",
    journal = "SIAM Journal on Numerical Analysis",
    year = "1993",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170613-070150162",
    id = "record",
    issn = "0036-1429",
    doi = "10.1137/0730084",
    volume = "30"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20170612-071258761,
    title = "A model mechanism for the chemotactic response of endothelial cells to tumour angiogenesis factor",
    journal = "Mathematical Medicine and Biology",
    year = "1993",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170612-071258761",
    id = "record",
    issn = "1477-8599",
    doi = "10.1093/imammb/10.3.149",
    volume = "10"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20170613-082542564,
    title = "The Numerical Computation of Heteroclinic Connections in Systems of Gradient Partial Differential Equations",
    journal = "SIAM Journal on Applied Mathematics",
    year = "1993",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170613-082542564",
    id = "record",
    issn = "0036-1399",
    doi = "10.1137/0153037",
    volume = "53"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20170613-080915743,
    title = "Blowup in a Partial Differential Equation with Conserved First Integral",
    journal = "SIAM Journal on Applied Mathematics",
    year = "1993",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170613-080915743",
    id = "record",
    issn = "0036-1399",
    doi = "10.1137/0153036",
    volume = "53"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20170612-105155948,
    title = "Unified approach to spurious solutions introduced by time discretization Part II: BDF-like methods",
    journal = "IMA Journal of Numerical Analysis",
    year = "1992",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170612-105155948",
    id = "record",
    issn = "0272-4979",
    doi = "10.1093/imanum/12.4.487",
    volume = "12"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20170613-084043611,
    title = "Numerical Wave Propagation in an Advection Equation with a Nonlinear Source Term",
    journal = "SIAM Journal on Numerical Analysis",
    year = "1992",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170613-084043611",
    id = "record",
    issn = "0036-1429",
    doi = "10.1137/0729074",
    volume = "29"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20170612-070148270,
    title = "A note on uniform in time error estimates for approximations to reaction-diffusion equations",
    journal = "IMA Journal of Numerical Analysis",
    year = "1992",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170612-070148270",
    id = "record",
    issn = "0272-4979",
    doi = "10.1093/imanum/12.3.457",
    volume = "12"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20170612-164247464,
    title = "A Unified Approach to Spurious Solutions Introduced by Time Discretisation. Part I: Basic Theory",
    journal = "SIAM Journal on Numerical Analysis",
    year = "1991",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170612-164247464",
    id = "record",
    issn = "0036-1429",
    doi = "10.1137/0728086",
    volume = "28"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20170613-092411747,
    title = "The Dynamics of the Theta Method",
    journal = "SIAM Journal on Scientific and Statistical Computing",
    year = "1991",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170613-092411747",
    id = "record",
    issn = "0196-5204",
    doi = "10.1137/0912074",
    volume = "12"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20170612-104202241,
    title = "A Mathematical Model for the Diffusion of Tumour Angiogenesis Factor into the Surrounding Host Tissue",
    journal = "Mathematical Medicine and Biology",
    year = "1991",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170612-104202241",
    id = "record",
    issn = "1477-8599",
    doi = "10.1093/imammb/8.3.191",
    volume = "8"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20170613-144801379,
    title = "Singular Limits in Free Boundary Problems",
    journal = "Rocky Mountain Journal of Mathematics",
    year = "1991",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170613-144801379",
    id = "record",
    issn = "0035-7596",
    doi = "10.1216/rmjm/1181072969",
    volume = "21"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20170612-101245620,
    title = "On the computation of blow-up",
    journal = "European Journal of Applied Mathematics",
    year = "1990",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170612-101245620",
    id = "record",
    issn = "0956-7925",
    doi = "10.1017/S095679250000005X",
    volume = "1"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20170612-083455306,
    title = "Linear Instability Implies Spurious Periodic Solutions",
    journal = "IMA Journal of Numerical Analysis",
    year = "1989",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170612-083455306",
    id = "record",
    issn = "0272-4979",
    doi = "10.1093/imanum/9.4.465",
    volume = "9"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20170613-075253765,
    title = "Nonlinear Instability in Dissipative Finite Difference Schemes",
    journal = "SIAM Review",
    year = "1989",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170613-075253765",
    id = "record",
    issn = "0036-1445",
    doi = "10.1137/1031048",
    volume = "31"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20170613-080915333,
    title = "Singular Free Boundary Problems and Local Bifurcation Theory",
    journal = "SIAM Journal on Applied Mathematics",
    year = "1989",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170613-080915333",
    id = "record",
    issn = "0036-1399",
    doi = "10.1137/0149004",
    volume = "49"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20170613-090547094,
    title = "A Model for Porous-Medium Combustion",
    journal = "Quarterly Journal of Mechanics and Applied Mathematics",
    year = "1989",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170613-090547094",
    id = "record",
    issn = "0033-5614",
    doi = "10.1093/qjmam/42.1.159",
    volume = "42"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20170613-135127282,
    title = "A Note on High/Low-Wave-Number Interactions in Spatially Discrete Parabolic Equations",
    journal = "IMA Journal of Applied Mathematics",
    year = "1989",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170613-135127282",
    id = "record",
    issn = "0272-4960",
    doi = "10.1093/imamat/42.1.27",
    volume = "42"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20170613-090149803,
    title = "Similarity Solutions of a Heat Equation with Nonlinearly Varying Heat Capacity",
    journal = "IMA Journal of Applied Mathematics",
    year = "1988",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170613-090149803",
    id = "record",
    issn = "0272-4960",
    doi = "10.1093/imamat/40.3.217",
    volume = "40"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20170612-164819129,
    title = "Travelling Combustion Waves in a Porous Medium. Part II—Stability",
    journal = "SIAM Journal on Applied Mathematics",
    year = "1988",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170612-164819129",
    id = "record",
    issn = "0036-1399",
    doi = "10.1137/0148019",
    volume = "48"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20170612-165322289,
    title = "Travelling Combustion Waves in a Porous Medium. Part I—Existence",
    journal = "SIAM Journal on Applied Mathematics",
    year = "1988",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170612-165322289",
    id = "record",
    issn = "0036-1399",
    doi = "10.1137/0148007",
    volume = "48"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20170613-084535886,
    title = "Parabolic Free Boundary Problems Arising in Porous Medium Combustion",
    journal = "IMA Journal of Applied Mathematics",
    year = "1987",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170613-084535886",
    id = "record",
    issn = "0272-4960",
    doi = "10.1093/imamat/39.3.241",
    volume = "39"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20170612-142648576,
    title = "Existence of Solutions of a Two-Point Free-Boundary Problem Arising in the Theory of Porous Medium Combustion",
    journal = "IMA Journal of Applied Mathematics",
    year = "1987",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170612-142648576",
    id = "record",
    issn = "0272-4960",
    doi = "10.1093/imamat/38.1.23",
    volume = "38"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20170612-135043115,
    title = "Volterra integral equations and a new Gronwall inequality (Part II: The nonlinear case)",
    journal = "Proceedings of the Royal Society of Edinburgh: Section A Mathematics",
    year = "1987",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170612-135043115",
    id = "record",
    issn = "0308-2105",
    doi = "10.1017/S0308210500018485",
    volume = "106"
}


@article{https://resolver.caltech.edu/CaltechAUTHORS:20170612-131130001,
    title = "Volterra integral equations and a new Gronwall inequality (Part I: The linear case)",
    journal = "Proceedings of the Royal Society of Edinburgh: Section A Mathematics",
    year = "1987",
    url = "https://resolver.caltech.edu/CaltechAUTHORS:20170612-131130001",
    id = "record",
    issn = "0308-2105",
    doi = "10.1017/S0308210500018473",
    volume = "106"
}