Inverse problems: a Bayesian perspective AM Stuart Acta numerica 19, 451-559, 2010 | 1915 | 2010 |
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 | 1831 | 2020 |
Multiscale methods: averaging and homogenization G Pavliotis, A Stuart Springer Science & Business Media, 2008 | 1359* | 2008 |
Dynamical systems and numerical analysis A Stuart, AR Humphries Cambridge University Press, 1998 | 1314 | 1998 |
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 | 816 | 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 | 733 | 2002 |
MCMC methods for functions: modifying old algorithms to make them faster SL Cotter, GO Roberts, AM Stuart, D White | 721 | 2013 |
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 | 621* | 2020 |
The Bayesian approach to inverse problems M Dashti, AM Stuart arXiv preprint arXiv:1302.6989, 2013 | 611 | 2013 |
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 | 595 | 2023 |
Data assimilation K Law, A Stuart, K Zygalakis Cham, Switzerland: Springer 214, 52, 2015 | 585 | 2015 |
Extracting macroscopic dynamics: model problems and algorithms D Givon, R Kupferman, A Stuart Nonlinearity 17 (6), R55, 2004 | 434 | 2004 |
Ensemble Kalman methods for inverse problems MA Iglesias, KJH Law, AM Stuart Inverse Problems 29 (4), 045001, 2013 | 408 | 2013 |
Optimal tuning of the hybrid Monte Carlo algorithm A Beskos, N Pillai, G Roberts, JM Sanz-Serna, A Stuart | 378 | 2013 |
The global dynamics of discrete semilinear parabolic equations CM Elliott, AM Stuart SIAM journal on numerical analysis 30 (6), 1622-1663, 1993 | 376 | 1993 |
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 | 355 | 2017 |
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 | 331 | 2020 |
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 | 322 | 2021 |
A first course in continuum mechanics O Gonzalez, AM Stuart Cambridge University Press, 2008 | 308 | 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 | 267 | 1993 |