@inbook{https://authors.library.caltech.edu/records/gqmwj-t9b36, authors = "Li, Zongyi and Kovachki, Nikola and Azizzadenesheli, Kamyar and Liu, Burigede and Bhattacharya, Kaushik and Stuart, Andrew and Anandkumar, Anima", chapter = "Multipole Graph Neural Operator for Parametric Partial Differential Equations", publisher = "Advances in Neural Information Processing Systems", year = "2020", url = "https://resolver.caltech.edu/CaltechAUTHORS:20201106-120222366", id = "https://authors.library.caltech.edu/records/gqmwj-t9b36", doi = "10.48550/arXiv.2006.09535" } @inbook{https://authors.library.caltech.edu/records/nv6wx-sn328, authors = "Dashti, Masoumeh and Stuart, Andrew M.", title = "Handbook of Uncertainty Quantification", chapter = "The Bayesian Approach to Inverse Problems", address = "Cham, Switzerland", publisher = "Springer", year = "2017", url = "https://resolver.caltech.edu/CaltechAUTHORS:20161111-104641272", id = "https://authors.library.caltech.edu/records/nv6wx-sn328", isbn = "978-3-319-12384-4", doi = "10.1007/978-3-319-12385-1\_7", pages = "311-428" } @inbook{https://authors.library.caltech.edu/records/j3zq6-wwb24, authors = "Pavliotis, Grigorios A. and Pokern, Yvo and Stuart, Andrew M.", title = "Statistical Methods for Stochastic Differential Equations", chapter = "Parameter estimation for multiscale diffusions: an overview", address = "Boca Raton, FL", publisher = "Chapman and Hall/CRC", year = "2012", url = "https://resolver.caltech.edu/CaltechAUTHORS:20161111-105740878", id = "https://authors.library.caltech.edu/records/j3zq6-wwb24", isbn = "978-1-4398-4940-8", doi = "10.1201/b12126-8", pages = "429-472" } @inbook{https://authors.library.caltech.edu/records/evv21-g9q71, authors = "Hairer, M. and Stuart, A. M. and Voss, J.", title = "The Oxford Handbook of Nonlinear Filtering", chapter = "Signal processing problems on function space: Bayesian formulation, stochastic PDEs and effective MCMC methods", address = "Oxford, UK", publisher = "Oxford University Press", year = "2011", url = "https://resolver.caltech.edu/CaltechAUTHORS:20161111-111346824", id = "https://authors.library.caltech.edu/records/evv21-g9q71", isbn = "9780199532902", pages = "833-873" } @inbook{https://authors.library.caltech.edu/records/bcezy-zr077, authors = "Nolen, James and Pavliotis, Grigorios A. and Stuart, Andrew M.", title = "Numerical Analysis of Multiscale Problems", chapter = "Multiscale modelling and inverse problems", address = "Berlin", publisher = "Springer-Verlag", year = "2011", url = "https://resolver.caltech.edu/CaltechAUTHORS:20161111-110328030", id = "https://authors.library.caltech.edu/records/bcezy-zr077", isbn = "978-3-642-22061-6", doi = "10.1007/978-3-642-22061-6\_1", pages = "1-34" } @inbook{https://authors.library.caltech.edu/records/72177-s9k74, authors = "Beskos, Alexandros and Stuart, Andrew", title = "Sixth International Congress on Industrial and Applied Mathematics", chapter = "MCMC methods for sampling function space", address = "Zurich", publisher = "European Mathematical Society", year = "2009", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170612-093904953", id = "https://authors.library.caltech.edu/records/72177-s9k74", isbn = "978-3-03719-056-2", doi = "10.4171/056-1/16", pages = "337-364" } @inbook{https://authors.library.caltech.edu/records/pxfmt-jy760, authors = "Hairer, Martin and Stuart, Andrew and Voss, Jochen", title = "Trends in Stochastic Analysis", chapter = "Sampling conditioned diffusions", address = "Cambridge", publisher = "Cambridge University Press", year = "2009", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170614-080019284", id = "https://authors.library.caltech.edu/records/pxfmt-jy760", isbn = "9781139107020", doi = "10.1017/CBO9781139107020.009", pages = "159-186" } @inbook{https://authors.library.caltech.edu/records/ft5ke-79y61, authors = "Beskos, Alexandros and Stuart, Andrew", title = "Monte Carlo and Quasi-Monte Carlo Methods 2008", chapter = "Computational Complexity of Metropolis-Hastings Methods in High Dimensions", address = "New York", publisher = "Springer", year = "2009", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170612-102025036", id = "https://authors.library.caltech.edu/records/ft5ke-79y61", isbn = "978-3-642-04106-8", doi = "10.1007/978-3-642-04107-5\_4", pages = "61-71" } @inbook{https://authors.library.caltech.edu/records/y5x3s-0nq75, authors = "White, David and Stuart, Andrew", title = "Monte Carlo and Quasi-Monte Carlo Methods 2008", chapter = "Green's Functions by Monte Carlo", address = "Berlin", publisher = "Springer", year = "2009", url = "https://resolver.caltech.edu/CaltechAUTHORS:20161111-113156226", id = "https://authors.library.caltech.edu/records/y5x3s-0nq75", isbn = "978-3-642-04106-8", doi = "10.1007/978-3-642-04107-5\_41", pages = "627-636" } @inbook{https://authors.library.caltech.edu/records/ft7hh-p3059, authors = "Pavliotis, G. A. and Stuart, A. M. and Band, L.", title = "Monte Carlo and Quasi-Monte Carlo Methods 2004", chapter = "Monte Carlo Studies of Effective Diffusivities for Inertial Particles", address = "New York, NY", publisher = "Springer", year = "2006", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170613-140425580", id = "https://authors.library.caltech.edu/records/ft7hh-p3059", isbn = "978-3-540-25541-3", doi = "10.1007/3-540-31186-6\_26", pages = "431-441" } @inbook{https://authors.library.caltech.edu/records/85fr2-jrr64, authors = "Humphries, A. R. and Stuart, A. M.", title = "Modern Methods in Scientific Computing and Applications", chapter = "Deterministic and random dynamical systems: theory and numerics", address = "Dordrecht", publisher = "Springer", year = "2002", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170613-125750895", id = "https://authors.library.caltech.edu/records/85fr2-jrr64", isbn = "978-1-4020-0782-8", doi = "10.1007/978-94-010-0510-4\_6", pages = "211-254" } @inbook{https://authors.library.caltech.edu/records/00a3b-d0w60, authors = "Sigurgeirsson, Hersir and Stuart, A. M.", title = "Foundations of Computational Mathematics", chapter = "Statistics From Computations", address = "New York, NY", publisher = "Cambridge University Press", year = "2001", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170614-073434784", id = "https://authors.library.caltech.edu/records/00a3b-d0w60", isbn = "978-0-521-00349-0", pages = "323-344" } @inbook{https://authors.library.caltech.edu/records/bfwg1-6pg46, authors = "Lamba, Harbir and Stuart, Andrew", title = "Dynamics of Algorithms", chapter = "Convergence Proofs for Numerical IVP Software", address = "New York, NY", publisher = "Springer", year = "2000", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170613-142949630", id = "https://authors.library.caltech.edu/records/bfwg1-6pg46", isbn = "9781461270737", doi = "10.1007/978-1-4612-1274-4\_6", pages = "107-125" } @inbook{https://authors.library.caltech.edu/records/zppe8-bm791, authors = "Stuart, Andrew", title = "The State of the Art in Numerical Analysis", chapter = "Convergence and stability in the numerical approximation of dynamical systems", address = "Oxford", publisher = "Oxford University Press", year = "1997", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170613-141546199", id = "https://authors.library.caltech.edu/records/zppe8-bm791", isbn = "9780198500148", pages = "145-169" } @inbook{https://authors.library.caltech.edu/records/ca33n-4w564, authors = "Stuart, Andrew", title = "Theory and Numerics of Ordinary and Partial Differential Equations", chapter = "Perturbation Theory for Infinite Dimensional Dynamical Systems", address = "Oxford", publisher = "Oxford University Press", year = "1995", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170613-133150018", id = "https://authors.library.caltech.edu/records/ca33n-4w564", isbn = "978-0198511939", pages = "181-290" } @inbook{https://authors.library.caltech.edu/records/jep36-3q894, authors = "Humphries, A. R. and Jones, D. A. and Stuart, A. M.", title = "Numerical Analysis 1993", chapter = "Approximation of dissipative partial differential equations over long time intervals", publisher = "Longman Scientific \& Technical", year = "1994", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170612-152618052", id = "https://authors.library.caltech.edu/records/jep36-3q894", isbn = "9780582225688", pages = "180-207" } @inbook{https://authors.library.caltech.edu/records/an7xg-43319, authors = "Stuart, Andrew", title = "Continuation and Bifurcations: Numerical Techniques and Applications", chapter = "The Global Attractor Under Discretisation", address = "Dordrecht", publisher = "Springer Netherlands", year = "1990", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170612-140046210", id = "https://authors.library.caltech.edu/records/an7xg-43319", isbn = "978-94-010-6781-2", doi = "10.1007/978-94-009-0659-4\_14", pages = "211-225" } @inbook{https://authors.library.caltech.edu/records/55yhx-6v166, authors = "Stuart, A. M.", title = "Nonlinear Diffusion Equations and Their Equilibrium States II", chapter = "The Mathematics of Porous Medium Combustion", address = "New York, NY", publisher = "Springer", year = "1988", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170612-132031395", id = "https://authors.library.caltech.edu/records/55yhx-6v166", isbn = "978-1-4613-9610-9", doi = "10.1007/978-1-4613-9608-6\_18", pages = "295-313" }