Theo dõi
Siddhartha Mishra
Siddhartha Mishra
Professor of Applied Mathematics, ETH Zurich, Switzerland
Email được xác minh tại sam.math.ethz.ch
Tiêu đề
Trích dẫn bởi
Trích dẫn bởi
Năm
Estimates on the generalization error of physics-informed neural networks for approximating a class of inverse problems for PDEs
S Mishra, R Molinaro
IMA Journal of Numerical Analysis 42 (2), 981-1022, 2022
3352022
Arbitrarily high-order accurate entropy stable essentially nonoscillatory schemes for systems of conservation laws
US Fjordholm, S Mishra, E Tadmor
SIAM Journal on Numerical Analysis 50 (2), 544-573, 2012
3332012
Error estimates for deeponets: A deep learning framework in infinite dimensions
S Lanthaler, S Mishra, GE Karniadakis
Transactions of Mathematics and Its Applications 6 (1), tnac001, 2022
3022022
On universal approximation and error bounds for Fourier neural operators
N Kovachki, S Lanthaler, S Mishra
Journal of Machine Learning Research 22 (290), 1-76, 2021
2992021
Estimates on the generalization error of physics-informed neural networks for approximating PDEs
S Mishra, R Molinaro
IMA Journal of Numerical Analysis 43 (1), 1-43, 2023
2622023
A survey on oversmoothing in graph neural networks
TK Rusch, MM Bronstein, S Mishra
arXiv preprint arXiv:2303.10993, 2023
2532023
Optimal entropy solutions for conservation laws with discontinuous flux-functions
ADIMURTHI, S Mishra, GDV Gowda
Journal of Hyperbolic Differential Equations 2 (04), 783-837, 2005
2112005
Well-balanced and energy stable schemes for the shallow water equations with discontinuous topography
US Fjordholm, S Mishra, E Tadmor
Journal of Computational Physics 230 (14), 5587-5609, 2011
2022011
Sparse tensor multi-level Monte Carlo finite volume methods for hyperbolic conservation laws with random initial data
S Mishra, C Schwab
Mathematics of computation 81 (280), 1979-2018, 2012
1932012
Deep learning observables in computational fluid dynamics
KO Lye, S Mishra, D Ray
Journal of Computational Physics 410, 109339, 2020
1862020
On the approximation of functions by tanh neural networks
T De Ryck, S Lanthaler, S Mishra
Neural Networks 143, 732-750, 2021
1732021
Well-balanced schemes for the Euler equations with gravitation
R Käppeli, S Mishra
Journal of Computational Physics 259, 199-219, 2014
1692014
Multi-level Monte Carlo finite volume methods for nonlinear systems of conservation laws in multi-dimensions
S Mishra, C Schwab, J Šukys
Journal of Computational Physics 231 (8), 3365-3388, 2012
1582012
Convolutional neural operators
B Raonic, R Molinaro, T Rohner, S Mishra, E de Bezenac
ICLR 2023 Workshop on Physics for Machine Learning, 2023
147*2023
Graph-coupled oscillator networks
TK Rusch, B Chamberlain, J Rowbottom, S Mishra, M Bronstein
International Conference on Machine Learning, 18888-18909, 2022
1442022
Error estimates for physics-informed neural networks approximating the Navier–Stokes equations
T De Ryck, AD Jagtap, S Mishra
IMA Journal of Numerical Analysis 44 (1), 83-119, 2024
1392024
Construction of approximate entropy measure-valued solutions for hyperbolic systems of conservation laws
US Fjordholm, R Käppeli, S Mishra, E Tadmor
Foundations of Computational Mathematics 17, 763-827, 2017
1382017
Entropy stable shock capturing space–time discontinuous Galerkin schemes for systems of conservation laws
A Hiltebrand, S Mishra
Numerische Mathematik 126, 103-151, 2014
1302014
Physics informed neural networks for simulating radiative transfer
S Mishra, R Molinaro
Journal of Quantitative Spectroscopy and Radiative Transfer 270, 107705, 2021
1252021
Tunneling time and weak measurement in strong field ionization
T Zimmermann, S Mishra, BR Doran, DF Gordon, AS Landsman
Physical review letters 116 (23), 233603, 2016
1212016
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