Andrew M Stuart

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G.A. PavliotisDepartment of Mathematics Imperial College LondonVerified email at imperial.ac.uk
Kody J. H. LawDepartment of Mathematics, University of ManchesterVerified email at manchester.ac.uk
Nikola KovachkiCalifornia Institute of TechnologyVerified email at caltech.edu
Gareth RobertsProfessor of Statistics, University of WarwickVerified email at warwick.ac.uk
Kaushik BhattacharyaCalifornia Institute of TechnologyVerified email at caltech.edu
Burigede LiuGranta Design Assistant Professor, University of CambridgeVerified email at cam.ac.uk
Zongyi LiCaltechVerified email at caltech.edu
Tapio SchneiderProfessor, California Institute of TechnologyVerified email at caltech.edu
Jonathan C. MattinglyProfessor of Mathematics and Statistical Science, Duke UniversityVerified email at math.duke.edu
Anima AnandkumarCalifornia Institute of Technology and NVIDIAVerified email at caltech.edu
Kamyar AzizzadenesheliNvidiaVerified email at nvidia.com
Jochen VossLecturer in Statistics, University of LeedsVerified email at leeds.ac.uk
Natesh S. PillaiHarvard UniversityVerified email at fas.harvard.edu
Alexandros BeskosProfessor in Statistics, UCLVerified email at ucl.ac.uk
Antony R HumphriesMathematics & Statistics, and, Physiology, McGill UniversityVerified email at mcgill.ca
Simon CotterSchool of Mathematics, University of ManchesterVerified email at manchester.ac.uk
Marco IglesiasUniversity of NottinghamVerified email at nottingham.ac.uk
Konstantinos ZygalakisUniversity of EdinburghVerified email at ed.ac.uk
Desmond HighamProfessor of Mathematics, University of EdinburghVerified email at ed.ac.uk
Martin HairerProfessor of Mathematics, Imperial College LondonVerified email at imperial.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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Inverse problems: a Bayesian perspective AM Stuart Acta numerica 19, 451-559, 2010	1676	2010
Multiscale methods: averaging and homogenization G Pavliotis, A Stuart Springer Science & Business Media, 2008	1295*	2008
Dynamical systems and numerical analysis A Stuart, AR Humphries Cambridge University Press, 1998	1251	1998
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	835	2020
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	756	2002
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	666	2002
MCMC methods for functions: modifying old algorithms to make them faster SL Cotter, GO Roberts, AM Stuart, D White	623	2013
The Bayesian approach to inverse problems M Dashti, AM Stuart Handbook of uncertainty quantification, 311-428, 2017	531	2017
Data assimilation K Law, A Stuart, K Zygalakis Cham, Switzerland: Springer 214, 52, 2015	478	2015
Extracting macroscopic dynamics: model problems and algorithms D Givon, R Kupferman, A Stuart Nonlinearity 17 (6), R55, 2004	423	2004
Optimal tuning of the hybrid Monte Carlo algorithm A Beskos, N Pillai, G Roberts, JM Sanz-Serna, A Stuart	360	2013
The global dynamics of discrete semilinear parabolic equations CM Elliott, AM Stuart SIAM journal on numerical analysis 30 (6), 1622-1663, 1993	336	1993
Ensemble Kalman methods for inverse problems MA Iglesias, KJH Law, AM Stuart Inverse Problems 29 (4), 045001, 2013	319	2013
Neural operator: Graph kernel network for partial differential equations Z Li, N Kovachki, K Azizzadenesheli, B Liu, K Bhattacharya, A Stuart, ... arXiv preprint arXiv:2003.03485, 2020	281	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	280	2017
A first course in continuum mechanics O Gonzalez, AM Stuart Cambridge University Press, 2008	276	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	255	1993
MCMC methods for diffusion bridges A Beskos, G Roberts, A Stuart, J Voss Stochastics and Dynamics 8 (03), 319-350, 2008	239	2008
Space-time continuous analysis of waveform relaxation for the heat equation MJ Gander, AM Stuart SIAM Journal on Scientific Computing 19 (6), 2014-2031, 1998	210	1998
Neural operator: Learning maps between function spaces N Kovachki, Z Li, B Liu, K Azizzadenesheli, K Bhattacharya, A Stuart, ... arXiv preprint arXiv:2108.08481, 2021	192	2021

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