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Siddhartha Mishra
Siddhartha Mishra
Professor of Applied Mathematics, ETH Zurich, Switzerland
Verified email at sam.math.ethz.ch
Title
Cited by
Cited by
Year
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
3112012
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
2862022
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
2092005
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
2072022
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
1992021
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
1892011
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
1782012
Deep learning observables in computational fluid dynamics
KO Lye, S Mishra, D Ray
Journal of Computational Physics 410, 109339, 2020
1612020
Well-balanced schemes for the Euler equations with gravitation
R Käppeli, S Mishra
Journal of Computational Physics 259, 199-219, 2014
1562014
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
1472012
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
1352017
Entropy stable shock capturing space–time discontinuous Galerkin schemes for systems of conservation laws
A Hiltebrand, S Mishra
Numerische Mathematik 126, 103-151, 2014
1192014
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
1162016
On the approximation of functions by tanh neural networks
T De Ryck, S Lanthaler, S Mishra
Neural Networks 143, 732-750, 2021
1142021
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
1042023
On the computation of measure-valued solutions
US Fjordholm, S Mishra, E Tadmor
Acta numerica 25, 567-679, 2016
1032016
Physics informed neural networks for simulating radiative transfer
S Mishra, R Molinaro
Journal of Quantitative Spectroscopy and Radiative Transfer 270, 107705, 2021
992021
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
952024
A well-balanced finite volume scheme for the Euler equations with gravitation-the exact preservation of hydrostatic equilibrium with arbitrary entropy stratification
R Käppeli, S Mishra
Astronomy & Astrophysics 587, A94, 2016
892016
A survey on oversmoothing in graph neural networks
TK Rusch, MM Bronstein, S Mishra
arXiv preprint arXiv:2303.10993, 2023
872023
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