@book_section {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/106492, title ="Multipole Graph Neural Operator for Parametric Partial Differential Equations", author = "Li, Zongyi and Kovachki, Nikola and Azizzadenesheli, Kamyar and Liu, Burigede and Bhattacharya, Kaushik and Stuart, Andrew and Anandkumar, Anima", journal = "arXiv", month = "December", year = "2020", url = "https://resolver.caltech.edu/CaltechAUTHORS:20201106-120222366", } @book_section {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/71941, title ="The Bayesian Approach to Inverse Problems", author = "Dashti, Masoumeh and Stuart, Andrew M.", pages = "311-428", month = "January", year = "2017", doi = "https://doi.org/10.1007/978-3-319-12385-1_7", isbn = "978-3-319-12384-4", url = "https://resolver.caltech.edu/CaltechAUTHORS:20161111-104641272", } @book_section {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/71945, title ="Parameter estimation for multiscale diffusions: an overview", author = "Pavliotis, Grigorios A. and Pokern, Yvo and Stuart, Andrew M.", pages = "429-472", month = "January", year = "2012", isbn = "978-1-4398-4940-8", url = "https://resolver.caltech.edu/CaltechAUTHORS:20161111-105740878", } @book_section {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/71948, title ="Signal processing problems on function space: Bayesian formulation, stochastic PDEs and effective MCMC methods", author = "Hairer, M. and Stuart, A. M. and Voss, J.", pages = "833-873", month = "March", year = "2011", isbn = "9780199532902", url = "https://resolver.caltech.edu/CaltechAUTHORS:20161111-111346824", } @book_section {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/71946, title ="Multiscale modelling and inverse problems", author = "Nolen, James and Pavliotis, Grigorios A. and Stuart, Andrew M.", number = "83", pages = "1-34", month = "January", year = "2011", isbn = "978-3-642-22061-6", url = "https://resolver.caltech.edu/CaltechAUTHORS:20161111-110328030", } @book_section {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/78094, title ="MCMC methods for sampling function space", author = "Beskos, Alexandros and Stuart, Andrew", pages = "337-364", month = "June", year = "2009", doi = "https://doi.org/10.4171/056-1/16", isbn = "978-3-03719-056-2", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170612-093904953", } @book_section {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/78188, title ="Sampling conditioned diffusions", author = "Hairer, Martin and Stuart, Andrew and Voss, Jochen", number = "353", pages = "159-186", month = "March", year = "2009", doi = "https://doi.org/10.1017/CBO9781139107020.009", isbn = "9781139107020", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170614-080019284", } @book_section {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/78099, title ="Computational Complexity of Metropolis-Hastings Methods in High Dimensions", author = "Beskos, Alexandros and Stuart, Andrew", pages = "61-71", month = "January", year = "2009", doi = "https://doi.org/10.1007/978-3-642-04107-5_4", isbn = "978-3-642-04106-8", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170612-102025036", } @book_section {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/71950, title ="Green’s Functions by Monte Carlo", author = "White, David and Stuart, Andrew", pages = "627-636", month = "January", year = "2009", isbn = "978-3-642-04106-8", url = "https://resolver.caltech.edu/CaltechAUTHORS:20161111-113156226", } @book_section {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/78172, title ="Monte Carlo Studies of Effective Diffusivities for Inertial Particles", author = "Pavliotis, G. A. and Stuart, A. M. and Band, L.", pages = "431-441", month = "January", year = "2006", doi = "https://doi.org/10.1007/3-540-31186-6_26", isbn = "978-3-540-25541-3", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170613-140425580", } @book_section {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/78165, title ="Deterministic and random dynamical systems: theory and numerics", author = "Humphries, A. R. and Stuart, A. M.", number = "75", pages = "211-254", month = "January", year = "2002", doi = "https://doi.org/10.1007/978-94-010-0510-4_6", isbn = "978-1-4020-0782-8", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170613-125750895", } @book_section {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/78187, title ="Statistics From Computations", author = "Sigurgeirsson, Hersir and Stuart, A. M.", number = "284", pages = "323-344", month = "January", year = "2001", isbn = "978-0-521-00349-0", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170614-073434784", } @book_section {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/78174, title ="Convergence Proofs for Numerical IVP Software", author = "Lamba, Harbir and Stuart, Andrew", number = "118", pages = "107-125", month = "January", year = "2000", doi = "https://doi.org/10.1007/978-1-4612-1274-4_6", isbn = "9781461270737", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170613-142949630", } @book_section {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/78173, title ="Convergence and stability in the numerical approximation of\r dynamical systems", author = "Stuart, Andrew", pages = "145-169", month = "January", year = "1997", isbn = "9780198500148", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170613-141546199", } @book_section {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/78169, title ="Perturbation Theory for Infinite Dimensional Dynamical Systems", author = "Stuart, Andrew", number = "4", pages = "181-290", month = "January", year = "1995", isbn = "978-0198511939", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170613-133150018", } @book_section {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/78127, title ="Approximation of dissipative partial differential equations over long time intervals", author = "Humphries, A. R. and Jones, D. A. and Stuart, A. M.", number = "303", pages = "180-207", month = "January", year = "1994", isbn = "9780582225688", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170612-152618052", } @book_section {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/78120, title ="The Global Attractor Under Discretisation", author = "Stuart, Andrew", number = "313", pages = "211-225", month = "January", year = "1990", doi = "https://doi.org/10.1007/978-94-009-0659-4_14", isbn = "978-94-010-6781-2", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170612-140046210", } @book_section {CaltechAUTHORS_https://authors.library.caltech.edu/id/eprint/78113, title ="The Mathematics of Porous Medium Combustion", author = "Stuart, A. M.", number = "13", pages = "295-313", month = "January", year = "1988", doi = "https://doi.org/10.1007/978-1-4613-9608-6_18", isbn = "978-1-4613-9610-9", url = "https://resolver.caltech.edu/CaltechAUTHORS:20170612-132031395", }