@inbook{https://resolver.caltech.edu/CaltechAUTHORS:20201106-120222366, chapter = "Multipole Graph Neural Operator for Parametric Partial Differential Equations", year = "2020", url = "https://resolver.caltech.edu/CaltechAUTHORS:20201106-120222366", id = "record", doi = "10.48550/arXiv.2006.09535" } @inbook{https://resolver.caltech.edu/CaltechAUTHORS:20161111-104641272, title = "Handbook of Uncertainty Quantification", chapter = "The Bayesian Approach to Inverse Problems", year = "2017", url = "https://resolver.caltech.edu/CaltechAUTHORS:20161111-104641272", id = "record", isbn = "978-3-319-12384-4", doi = "10.1007/978-3-319-12385-1\_7" } @inbook{https://resolver.caltech.edu/CaltechAUTHORS:20161111-105740878, title = "Statistical Methods for Stochastic Differential Equations", chapter = "Parameter estimation for multiscale diffusions: an overview", year = "2012", url = "https://resolver.caltech.edu/CaltechAUTHORS:20161111-105740878", id = "record", isbn = "978-1-4398-4940-8", doi = "10.1201/b12126-8" } @inbook{https://resolver.caltech.edu/CaltechAUTHORS:20161111-111346824, title = "The Oxford Handbook of Nonlinear Filtering", chapter = "Signal processing problems on function space: Bayesian formulation, stochastic PDEs and effective MCMC methods", year = "2011", url = "https://resolver.caltech.edu/CaltechAUTHORS:20161111-111346824", id = "record", isbn = "9780199532902" } @inbook{https://resolver.caltech.edu/CaltechAUTHORS:20161111-110328030, title = "Numerical Analysis of Multiscale Problems", chapter = "Multiscale modelling and inverse problems", year = "2011", url = "https://resolver.caltech.edu/CaltechAUTHORS:20161111-110328030", id = "record", isbn = "978-3-642-22061-6", doi = "10.1007/978-3-642-22061-6\_1" } @inbook{https://resolver.caltech.edu/CaltechAUTHORS:20170612-093904953, title = "Sixth International Congress on Industrial and Applied Mathematics", chapter = "MCMC methods for sampling function space", year = "2009", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170612-093904953", id = "record", isbn = "978-3-03719-056-2", doi = "10.4171/056-1/16" } @inbook{https://resolver.caltech.edu/CaltechAUTHORS:20170614-080019284, title = "Trends in Stochastic Analysis", chapter = "Sampling conditioned diffusions", year = "2009", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170614-080019284", id = "record", isbn = "9781139107020", doi = "10.1017/CBO9781139107020.009" } @inbook{https://resolver.caltech.edu/CaltechAUTHORS:20170612-102025036, title = "Monte Carlo and Quasi-Monte Carlo Methods 2008", chapter = "Computational Complexity of Metropolis-Hastings Methods in High Dimensions", year = "2009", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170612-102025036", id = "record", isbn = "978-3-642-04106-8", doi = "10.1007/978-3-642-04107-5\_4" } @inbook{https://resolver.caltech.edu/CaltechAUTHORS:20161111-113156226, title = "Monte Carlo and Quasi-Monte Carlo Methods 2008", chapter = "Green's Functions by Monte Carlo", year = "2009", url = "https://resolver.caltech.edu/CaltechAUTHORS:20161111-113156226", id = "record", isbn = "978-3-642-04106-8", doi = "10.1007/978-3-642-04107-5\_41" } @inbook{https://resolver.caltech.edu/CaltechAUTHORS:20170613-140425580, title = "Monte Carlo and Quasi-Monte Carlo Methods 2004", chapter = "Monte Carlo Studies of Effective Diffusivities for Inertial Particles", year = "2006", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170613-140425580", id = "record", isbn = "978-3-540-25541-3", doi = "10.1007/3-540-31186-6\_26" } @inbook{https://resolver.caltech.edu/CaltechAUTHORS:20170613-125750895, title = "Modern Methods in Scientific Computing and Applications", chapter = "Deterministic and random dynamical systems: theory and numerics", year = "2002", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170613-125750895", id = "record", isbn = "978-1-4020-0782-8", doi = "10.1007/978-94-010-0510-4\_6" } @inbook{https://resolver.caltech.edu/CaltechAUTHORS:20170614-073434784, title = "Foundations of Computational Mathematics", chapter = "Statistics From Computations", year = "2001", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170614-073434784", id = "record", isbn = "978-0-521-00349-0" } @inbook{https://resolver.caltech.edu/CaltechAUTHORS:20170613-142949630, title = "Dynamics of Algorithms", chapter = "Convergence Proofs for Numerical IVP Software", year = "2000", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170613-142949630", id = "record", isbn = "9781461270737", doi = "10.1007/978-1-4612-1274-4\_6" } @inbook{https://resolver.caltech.edu/CaltechAUTHORS:20170613-141546199, title = "The State of the Art in Numerical Analysis", chapter = "Convergence and stability in the numerical approximation of dynamical systems", year = "1997", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170613-141546199", id = "record", isbn = "9780198500148" } @inbook{https://resolver.caltech.edu/CaltechAUTHORS:20170613-133150018, title = "Theory and Numerics of Ordinary and Partial Differential Equations", chapter = "Perturbation Theory for Infinite Dimensional Dynamical Systems", year = "1995", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170613-133150018", id = "record", isbn = "978-0198511939" } @inbook{https://resolver.caltech.edu/CaltechAUTHORS:20170612-152618052, title = "Numerical Analysis 1993", chapter = "Approximation of dissipative partial differential equations over long time intervals", year = "1994", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170612-152618052", id = "record", isbn = "9780582225688" } @inbook{https://resolver.caltech.edu/CaltechAUTHORS:20170612-140046210, title = "Continuation and Bifurcations: Numerical Techniques and Applications", chapter = "The Global Attractor Under Discretisation", year = "1990", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170612-140046210", id = "record", isbn = "978-94-010-6781-2", doi = "10.1007/978-94-009-0659-4\_14" } @inbook{https://resolver.caltech.edu/CaltechAUTHORS:20170612-132031395, title = "Nonlinear Diffusion Equations and Their Equilibrium States II", chapter = "The Mathematics of Porous Medium Combustion", year = "1988", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170612-132031395", id = "record", isbn = "978-1-4613-9610-9", doi = "10.1007/978-1-4613-9608-6\_18" }