Andrew M Stuart

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Nikola KovachkiCalifornia Institute of TechnologyVerified email at caltech.edu
Kaushik BhattacharyaCalifornia Institute of TechnologyVerified email at caltech.edu
G.A. PavliotisDepartment of Mathematics Imperial College LondonVerified email at imperial.ac.uk
Kody J. H. LawProfessor at the University of Manchester and AI Research Scientist at MetaVerified email at meta.com
Burigede LiuGranta Design Assistant Professor, University of CambridgeVerified email at cam.ac.uk
Zongyi LiCaltechVerified email at caltech.edu
Anima AnandkumarCalifornia Institute of Technology and NVIDIAVerified email at caltech.edu
Kamyar AzizzadenesheliNvidiaVerified email at nvidia.com
Gareth RobertsProfessor of Statistics, University of WarwickVerified email at warwick.ac.uk
Tapio SchneiderProfessor, California Institute of TechnologyVerified email at caltech.edu
Alexandros BeskosProfessor in Statistics, UCLVerified email at ucl.ac.uk
Marco IglesiasUniversity of NottinghamVerified email at nottingham.ac.uk
Jochen VossLecturer in Statistics, University of LeedsVerified email at leeds.ac.uk
Jonathan C. MattinglyProfessor of Mathematics and Statistical Science, Duke UniversityVerified email at math.duke.edu
Konstantinos ZygalakisUniversity of EdinburghVerified email at ed.ac.uk
Natesh S. PillaiHarvard UniversityVerified email at fas.harvard.edu
Antony R HumphriesMathematics & Statistics, and, Physiology, McGill UniversityVerified email at mcgill.ca
Matthew DunlopGambit ResearchVerified email at nyu.edu
Desmond HighamProfessor of Mathematics, University of EdinburghVerified email at ed.ac.uk
Simon CotterSchool of Mathematics, University of ManchesterVerified email at manchester.ac.uk

Andrew M Stuart

Computing + Mathematical Sciences, Caltech

Verified email at caltech.edu - Homepage

Applied and Computational Mathematics Data Assimilation Inverse Problems Stochastic Differential Equations


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Fourier neural operator for parametric partial differential equations Z Li, N Kovachki, K Azizzadenesheli, B Liu, K Bhattacharya, A Stuart, ... arXiv preprint arXiv:2010.08895, 2020	2593	2020
Inverse problems: a Bayesian perspective AM Stuart Acta numerica 19, 451-559, 2010	2097	2010
Multiscale methods: averaging and homogenization GA Pavliotis, A Stuart Springer Science & Business Media, 2008	1416*	2008
Dynamical systems and numerical analysis A Stuart, AR Humphries Cambridge University Press, 1998	1357	1998
Neural operator: Learning maps between function spaces with applications to pdes N Kovachki, Z Li, B Liu, K Azizzadenesheli, K Bhattacharya, A Stuart, ... Journal of Machine Learning Research 24 (89), 1-97, 2023	901	2023
Strong convergence of Euler-type methods for nonlinear stochastic differential equations DJ Higham, X Mao, AM Stuart SIAM journal on numerical analysis 40 (3), 1041-1063, 2002	862	2002
Neural operator: Graph kernel network for partial differential equations A Anandkumar, K Azizzadenesheli, K Bhattacharya, N Kovachki, Z Li, ... ICLR 2020 Workshop on Integration of Deep Neural Models and Differential …, 2020	846*	2020
Ergodicity for SDEs and approximations: locally Lipschitz vector fields and degenerate noise JC Mattingly, AM Stuart, DJ Higham Stochastic processes and their applications 101 (2), 185-232, 2002	784	2002
MCMC methods for functions: modifying old algorithms to make them faster SL Cotter, GO Roberts, AM Stuart, D White	771	2013
Data assimilation K Law, A Stuart, K Zygalakis Cham, Switzerland: Springer 214, 52, 2015	649	2015
The Bayesian approach to inverse problems M Dashti, AM Stuart arXiv preprint arXiv:1302.6989, 2013	648	2013
Ensemble Kalman methods for inverse problems MA Iglesias, KJH Law, AM Stuart Inverse Problems 29 (4), 045001, 2013	471	2013
Extracting macroscopic dynamics: model problems and algorithms D Givon, R Kupferman, A Stuart Nonlinearity 17 (6), R55, 2004	438	2004
Multipole graph neural operator for parametric partial differential equations Z Li, N Kovachki, K Azizzadenesheli, B Liu, A Stuart, K Bhattacharya, ... Advances in Neural Information Processing Systems 33, 6755-6766, 2020	419	2020
Earth system modeling 2.0: A blueprint for models that learn from observations and targeted high‐resolution simulations T Schneider, S Lan, A Stuart, J Teixeira Geophysical Research Letters 44 (24), 12,396-12,417, 2017	409	2017
Optimal tuning of the hybrid Monte Carlo algorithm A Beskos, N Pillai, G Roberts, JM Sanz-Serna, A Stuart	405	2013
The global dynamics of discrete semilinear parabolic equations CM Elliott, AM Stuart SIAM journal on numerical analysis 30 (6), 1622-1663, 1993	403	1993
Model reduction and neural networks for parametric PDEs K Bhattacharya, B Hosseini, NB Kovachki, AM Stuart The SMAI journal of computational mathematics 7, 121-157, 2021	402	2021
A first course in continuum mechanics O Gonzalez, AM Stuart Cambridge University Press, 2008	329	2008
A model mechanism for the chemotactic response of endothelial cells to tumour angiogenesis factor MAJ Chaplain, AM Stuart Mathematical Medicine and Biology: A Journal of the IMA 10 (3), 149-168, 1993	274	1993

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