## Mishra, Siddhartha

Compute Distance To:
 Author ID: mishra.siddhartha Published as: Mishra, Siddhartha; Mishra, S.; Mishra, Siddharta Homepage: https://www.math.ethz.ch/sam/the-institute/people/siddhartha-mishra.html External Links: MGP · ORCID · Wikidata · Google Scholar · dblp · GND
 Documents Indexed: 93 Publications since 2005 2 Contributions as Editor Co-Authors: 50 Co-Authors with 89 Joint Publications 1,340 Co-Co-Authors
all top 5

### Co-Authors

 5 single-authored 17 Risebro, Nils Henrik 14 Fjordholm, Ulrik Skre 12 Schwab, Christoph 12 Tadmor, Eitan 9 Karlsen, Kenneth Hvistendahl 7 Fuchs, Franz Georg 6 Coclite, Giuseppe Maria 6 Lanthaler, Samuel 6 Šukys, Jonas 6 Svärd, Magnus 5 Adimurthi, A. 5 Gowda, G. D. Veerappa 5 Hiltebrand, Andreas 5 McMurry, Andrew D. 4 LeFloch, Philippe Gerard 4 Waagan, Knut 3 Lye, Kjetil O. 3 Parés-Pulido, Carlos 3 Ray, Deep 2 Castro, Manuel J. 2 Chandrashekar, Praveen 2 Ernest, Jan 2 Käppeli, Roger 2 Koley, Ujjwal 2 Lye, K. 2 Molinaro, Roberto 2 Parés Madroñal, Carlos 2 Rusch, T. Konstantin 2 Tokareva, Svetlana A. 2 Weber, Franziska 1 Abgrall, Rémi 1 Bao, Weizhu 1 Beljadid, Abdelaziz 1 Bijl, Hester 1 Bürger, Raimund 1 Coclite, Mario Michele 1 Corti, Paolo 1 de la Asunción, Marc 1 Di Ruvo, Lorenzo 1 Jaffré, Jérôme 1 Karniadakis, George Em 1 Kumar, Boina Anil 1 Kumar, Harish 1 Leonardi, Filippo 1 Longo, Marcello 1 Lucor, Didier 1 Paikray, Susanta Kumar 1 Pressel, Kyle G. 1 Routray, Sudhansu Sekhar 1 Sánchez-Linares, C. 1 Spinolo, Laura V. 1 Tang, Tao 1 Towers, John D.
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### Serials

 8 Communications in Computational Physics 7 Journal of Computational Physics 7 SIAM Journal on Numerical Analysis 4 Mathematics of Computation 4 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 4 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 3 BIT 3 SIAM Journal on Scientific Computing 3 Foundations of Computational Mathematics 3 Networks and Heterogeneous Media 2 IMA Journal of Numerical Analysis 2 Journal of Engineering Mathematics 2 Journal of Computational and Applied Mathematics 2 Numerische Mathematik 2 Journal of Scientific Computing 2 Computational Geosciences 2 Journal of Hyperbolic Differential Equations 2 Acta Numerica 1 Archive for Rational Mechanics and Analysis 1 Computer Methods in Applied Mechanics and Engineering 1 Nonlinearity 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Journal of Differential Equations 1 Applied Numerical Mathematics 1 European Journal of Applied Mathematics 1 Applied Mathematical Modelling 1 SIAM Journal on Mathematical Analysis 1 Acta Mathematica Scientia. Series B. (English Edition) 1 International Journal of Numerical Analysis and Modeling 1 Lecture Notes in Computational Science and Engineering 1 Bollettino dell’Unione Matematica Italiana. Series IX 1 SIAM/ASA Journal on Uncertainty Quantification 1 Transactions of Mathematics and its Applications 1 Mathematics in Engineering
all top 5

### Fields

 76 Numerical analysis (65-XX) 65 Partial differential equations (35-XX) 55 Fluid mechanics (76-XX) 7 Computer science (68-XX) 6 Probability theory and stochastic processes (60-XX) 5 Optics, electromagnetic theory (78-XX) 4 Mechanics of deformable solids (74-XX) 3 Astronomy and astrophysics (85-XX) 3 Operations research, mathematical programming (90-XX) 2 Geophysics (86-XX) 1 General and overarching topics; collections (00-XX) 1 Measure and integration (28-XX) 1 Approximations and expansions (41-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Statistics (62-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX)

### Citations contained in zbMATH Open

79 Publications have been cited 1,071 times in 584 Documents Cited by Year
Arbitrarily high-order accurate entropy stable essentially nonoscillatory schemes for systems of conservation laws. Zbl 1252.65150
Fjordholm, Ulrik S.; Mishra, Siddhartha; Tadmor, Eitan
2012
Optimal entropy solutions for conservation laws with discontinuous flux-functions. Zbl 1093.35045
Adimurthi; Mishra, Siddhartha; Veerappa Gowda, G. D.
2005
Well-balanced and energy stable schemes for the shallow water equations with discontinuous topography. Zbl 1452.35149
Fjordholm, Ulrik S.; Mishra, Siddhartha; Tadmor, Eitan
2011
Sparse tensor multi-level Monte Carlo finite volume methods for hyperbolic conservation laws with random initial data. Zbl 1271.65018
Mishra, Siddhartha; Schwab, Christoph
2012
Well-balanced schemes for the Euler equations with gravitation. Zbl 1349.76345
Käppeli, R.; Mishra, S.
2014
Multi-level Monte Carlo finite volume methods for nonlinear systems of conservation laws in multi-dimensions. Zbl 1402.76083
Mishra, S.; Schwab, Ch.; Šukys, J.
2012
Construction of approximate entropy measure-valued solutions for hyperbolic systems of conservation laws. Zbl 1371.65080
Fjordholm, Ulrik S.; Käppeli, Roger; Mishra, Siddhartha; Tadmor, Eitan
2017
Entropy stable shock capturing space-time discontinuous Galerkin schemes for systems of conservation laws. Zbl 1303.65083
Hiltebrand, Andreas; Mishra, Siddhartha
2014
On the computation of measure-valued solutions. Zbl 1382.76001
Fjordholm, Ulrik S.; Mishra, Siddhartha; Tadmor, Eitan
2016
ENO reconstruction and ENO interpolation are stable. Zbl 1273.65120
Fjordholm, Ulrik S.; Mishra, Siddhartha; Tadmor, Eitan
2013
Convergence of upwind finite difference schemes for a scalar conservation law with indefinite discontinuities in the flux function. Zbl 1096.35085
Mishra, Siddhartha
2005
Entropy stable scheme on two-dimensional unstructured grids for Euler equations. Zbl 1373.76143
Ray, Deep; Chandrashekar, Praveen; Fjordholm, Ulrik S.; Mishra, Siddhartha
2016
On stability of numerical schemes via frozen coefficients and the magnetic induction equations. Zbl 1205.65248
Mishra, Siddhartha; Svärd, Magnus
2010
Energy preserving and energy stable schemes for the shallow water equations. Zbl 1381.76236
Fjordholm, Ulrik S.; Mishra, Siddhartha; Tadmor, Eitan
2009
Uncertainty quantification in computational fluid dynamics. Zbl 1276.76005
2013
Convergence of vanishing capillarity approximations for scalar conservation laws with discontinuous fluxes. Zbl 1284.35276
Coclite, Giuseppe Maria; Di Ruvo, Lorenzo; Ernest, Jan; Mishra, Siddhartha
2013
Numerical solution of scalar conservation laws with random flux functions. Zbl 1343.65007
Mishra, Siddhartha; Risebro, Nils Henrik; Schwab, Christoph; Tokareva, Svetlana
2016
Uncertainty qualification for hyperbolic systems of conservation laws. Zbl 1368.65205
Abgrall, R.; Mishra, S.
2017
Existence and stability of entropy solutions for a conservation law with discontinuous non-convex fluxes. Zbl 1142.35508
Adimurthi; Mishra, Siddhartha; Gowda, G. D. Veerappa
2007
Stable upwind schemes for the magnetic induction equation. Zbl 1177.78057
Fuchs, Franz G.; Karlsen, Kenneth H.; Mishra, Siddharta; Risebro, Nils H.
2009
Numerical methods with controlled dissipation for small-scale dependent shocks. Zbl 1398.65211
LeFloch, Philippe G.; Mishra, Siddhartha
2014
Multilevel Monte Carlo finite volume methods for shallow water equations with uncertain topography in multi-dimensions. Zbl 1263.76045
Mishra, S.; Schwab, Ch.; Šukys, J.
2012
Multi-level Monte Carlo finite volume methods for uncertainty quantification in nonlinear systems of balance laws. Zbl 1276.76066
Mishra, Siddhartha; Schwab, Christoph; Šukys, Jonas
2013
Entropy stable numerical schemes for two-fluid plasma equations. Zbl 1311.76150
Kumar, Harish; Mishra, Siddhartha
2012
Deep learning observables in computational fluid dynamics. Zbl 1436.76051
Lye, Kjetil O.; Mishra, Siddhartha; Ray, Deep
2020
Approximate Riemann solvers and robust high-order finite volume schemes for multi-dimensional ideal MHD equations. Zbl 1364.76113
Fuchs, Franz Georg; McMurry, Andrew D.; Mishra, Siddhartha; Risebro, Nils Henrik; Waagan, Knut
2011
Convergence of Godunov type methods for a conservation law with a spatially varying discontinuous flux function. Zbl 1116.35084
Adimurthi; Mishra, Siddhartha; Gowda, G. D. Veerappa
2007
Multi-level Monte Carlo finite volume methods for uncertainty quantification of acoustic wave propagation in random heterogeneous layered medium. Zbl 1351.76117
Mishra, S.; Schwab, Ch.; Šukys, J.
2016
Statistical solutions of hyperbolic conservation laws: foundations. Zbl 1373.35193
Fjordholm, U. S.; Lanthaler, S.; Mishra, S.
2017
Higher-order finite difference schemes for the magnetic induction equations with resistivity. Zbl 1252.78033
Koley, U.; Mishra, S.; Risebro, N. H.; Svärd, M.
2012
On a model for the evolution of morphogens in a growing tissue. Zbl 1381.35186
Coclite, Giuseppe Maria; Coclite, Mario Michele; Mishra, S.
2016
Splitting based finite volume schemes for ideal MHD equations. Zbl 1259.76021
Fuchs, F. G.; Mishra, S.; Risebro, N. H.
2009
Convergence of finite volume schemes for triangular systems of conservation laws. Zbl 1190.65133
Karlsen, Kenneth Hvistendahl; Mishra, Siddhartha; Risebro, Nils Henrik
2009
Higher order finite difference schemes for the magnetic induction equations. Zbl 1168.78317
Koley, Ujjwal; Mishra, Siddhartha; Risebro, Nils Henrik; Svärd, Magnus
2009
Entropy conservative and entropy stable schemes for nonconservative hyperbolic systems. Zbl 1317.65167
Castro, Manuel J.; Fjordholm, Ulrik S.; Mishra, Siddhartha; Parés, Carlos
2013
On the upstream mobility scheme for two-phase flow in porous media. Zbl 1398.76220
Mishra, Siddhartha; Jaffré, Jérôme
2010
Accurate numerical discretizations of non-conservative hyperbolic systems. Zbl 1272.65064
Fjordholm, Ulrik Skre; Mishra, Siddhartha
2012
Conservation law with the flux function discontinuous in the space variable. II: Convex-concave type fluxes and generalized entropy solutions. Zbl 1131.65071
Adimurthi; Mishra, Siddhartha; Veerappa Gowda, G. D.
2007
Convergence of an Engquist-Osher scheme for a multi-dimensional triangular system of conservation laws. Zbl 1369.65108
Coclite, G. M.; Mishra, S.; Risebro, N. H.
2010
Entropy stable schemes for initial-boundary-value conservation laws. Zbl 1263.65083
Svärd, Magnus; Mishra, Siddhartha
2012
Statistical solutions of hyperbolic systems of conservation laws: numerical approximation. Zbl 1436.65121
Fjordholm, U. S.; Lye, K.; Mishra, S.; Weber, F.
2020
High-order well-balanced finite volume schemes for simulating wave propagation in stratified magnetic atmospheres. Zbl 1190.76153
Fuchs, F. G.; McMurry, A. D.; Mishra, S.; Risebro, N. H.; Waagan, K.
2010
Schemes with well-controlled dissipation. hyperbolic systems in nonconservative form. Zbl 1373.76155
Beljadid, Abdelaziz; Lefloch, Philippe G.; Mishra, Siddhartha; Parés, Carlos
2017
Shock capturing artificial dissipation for high-order finite difference schemes. Zbl 1203.76104
Svärd, Magnus; Mishra, Siddhartha
2009
A machine learning framework for data driven acceleration of computations of differential equations. Zbl 1435.68279
Mishra, Siddhartha
2019
Computation of measure-valued solutions for the incompressible Euler equations. Zbl 1404.76186
Lanthaler, Samuel; Mishra, Siddharta
2015
Well-balanced schemes for conservation laws with source terms based on a local discontinuous flux formulation. Zbl 1198.35149
Karlsen, Kenneth Hvistendahl; Mishra, Siddhartha; Risebro, Nils Henrik
2009
Constraint preserving schemes using potential-based fluxes. II: Genuinely multidimensional systems of conservation laws. Zbl 1231.65143
2011
Analysis and numerical approximation of Brinkman regularization of two-phase flows in porous media. Zbl 1392.76075
Coclite, G. M.; Mishra, S.; Risebro, N. H.; Weber, F.
2014
Numerical approximation of statistical solutions of scalar conservation laws. Zbl 1404.65113
Fjordholm, U. S.; Lye, K.; Mishra, Siddhartha
2018
Entropy stable ENO scheme. Zbl 1284.65117
Fjordholm, Ulrik S.; Mishra, Siddhartha; Tadmor, Eitan
2012
Explicit Hopf-Lax type formulas for Hamilton-Jacobi equations and conservation laws with discontinuous coefficients. Zbl 1128.35067
Adimurthi; Mishra, Siddhartha; Gowda, G. D. Veerappa
2007
A hyperbolic-elliptic model of two-phase flow in porous media-existence of entropy solutions. Zbl 1277.76100
Coclite, G. M.; Karlsen, K. H.; Mishra, S.; Risebro, N. H.
2012
Multi-level Monte Carlo finite difference and finite volume methods for stochastic linear hyperbolic systems. Zbl 1302.65032
Šukys, Jonas; Mishra, Siddhartha; Schwab, Christoph
2013
On conservation laws with discontinuous flux. Zbl 1076.76069
Bürger, Raimund; Karlsen, Kenneth H.; Mishra, Siddharta; Towers, John D.
2005
Convergence of vanishing viscosity approximations of $$2\times 2$$ triangular systems of multi-dimensional conservation laws. Zbl 1178.35246
Coclite, G. M.; Karlsen, K. H.; Mishra, S.; Risebro, N. H.
2009
Semi-Godunov schemes for multiphase flows in porous media. Zbl 1191.35022
Karlsen, K. H.; Mishra, S.; Risebro, N. H.
2009
High order SFV and mixed SDG/FV methods for the uncertainty quantification in multidimensional conservation laws. Zbl 1421.76164
Tokareva, Svetlana; Schwab, Christoph; Mishra, Siddhartha
2014
Numerical methods for conservation laws with discontinuous coefficients. Zbl 1368.65156
Mishra, S.
2017
Implicit-explicit schemes for flow equations with stiff source terms. Zbl 1270.76048
Svärd, Magnus; Mishra, Siddhartha
2011
Kinetic functions in magnetohydrodynamics with resistivity and Hall effect. Zbl 1212.35301
LeFloch, Philippe G.; Mishra, Siddhartha
2009
Vorticity preserving finite volume schemes for the shallow water equations. Zbl 1368.76039
Fjordholm, Ulrik S.; Mishra, Siddhartha
2011
Schemes with well-controlled dissipation. Zbl 1318.65049
Ernest, Jan; LeFloch, Philippe G.; Mishra, Siddhartha
2015
Enhancing accuracy of deep learning algorithms by training with low-discrepancy sequences. Zbl 07372628
Mishra, Siddhartha; Rusch, T. Konstantin
2021
On the convergence of the spectral viscosity method for the two-dimensional incompressible Euler equations with rough initial data. Zbl 1454.65125
Lanthaler, Samuel; Mishra, Siddhartha
2020
Constraint preserving schemes using potential-based fluxes I. multidimensional transport equations. Zbl 1364.65168
2011
Monte-Carlo finite-volume methods in uncertainty quantification for hyperbolic conservation laws. Zbl 1407.65150
Mishra, Siddhartha; Schwab, Christoph
2017
Iterative surrogate model optimization (ISMO): an active learning algorithm for PDE constrained optimization with deep neural networks. Zbl 07338021
Lye, Kjetil O.; Mishra, Siddhartha; Ray, Deep; Chandrashekar, Praveen
2021
Constraint preserving schemes using potential-based fluxes. III: Genuinely multi-dimensional schemes for MHD equations. Zbl 1310.76119
2012
Accurate numerical schemes for approximating initial-boundary value problems for systems of conservation laws. Zbl 1316.65078
Mishra, Siddhartha; Spinolo, Laura V.
2015
Numerical approximation of statistical solutions of planar, incompressible flows. Zbl 1416.76184
Leonardi, Filippo; Mishra, Siddhartha; Schwab, Christoph
2016
Efficient preconditioners for a shock capturing space-time discontinuous Galerkin method for systems of conservation laws. Zbl 1373.76090
Hiltebrand, Andreas; Mishra, Siddhartha
2015
Entropy-stable space-time DG schemes for non-conservative hyperbolic systems. Zbl 1405.65121
Hiltebrand, Andreas; Mishra, Siddhartha
2018
Vorticity preserving schemes using potential-based fluxes for the system wave equation. Zbl 1407.76022
2009
Semi-Godunov schemes for general triangular systems of conservation laws. Zbl 1133.76033
Karlsen, Kenneth Hvistendahl; Mishra, Siddhartha; Risebro, Nils Henrik
2008
Entropy stability and well-balancedness of space-time DG for the shallow water equations with bottom topography. Zbl 1431.76032
Hiltebrand, Andreas; Mishra, Siddhartha
2016
A multi-level procedure for enhancing accuracy of machine learning algorithms. Zbl 1482.65149
Lye, Kjetil O.; Mishra, Siddhartha; Molinaro, Roberto
2021
Finite volume methods for wave propagation in stratified magneto-atmospheres. Zbl 1364.76114
Fuchs, Franz Georg; Mcmurry, Andrew D.; Mishra, Siddhartha; Risebro, Nils Henrik; Waagan, Knut
2010
Efficient computation of all speed flows using an entropy stable shock-capturing space-time discontinuous Galerkin method. Zbl 1398.65251
Hiltebrand, Andreas; Mishra, Siddhartha
2018
Enhancing accuracy of deep learning algorithms by training with low-discrepancy sequences. Zbl 07372628
Mishra, Siddhartha; Rusch, T. Konstantin
2021
Iterative surrogate model optimization (ISMO): an active learning algorithm for PDE constrained optimization with deep neural networks. Zbl 07338021
Lye, Kjetil O.; Mishra, Siddhartha; Ray, Deep; Chandrashekar, Praveen
2021
A multi-level procedure for enhancing accuracy of machine learning algorithms. Zbl 1482.65149
Lye, Kjetil O.; Mishra, Siddhartha; Molinaro, Roberto
2021
Deep learning observables in computational fluid dynamics. Zbl 1436.76051
Lye, Kjetil O.; Mishra, Siddhartha; Ray, Deep
2020
Statistical solutions of hyperbolic systems of conservation laws: numerical approximation. Zbl 1436.65121
Fjordholm, U. S.; Lye, K.; Mishra, S.; Weber, F.
2020
On the convergence of the spectral viscosity method for the two-dimensional incompressible Euler equations with rough initial data. Zbl 1454.65125
Lanthaler, Samuel; Mishra, Siddhartha
2020
A machine learning framework for data driven acceleration of computations of differential equations. Zbl 1435.68279
Mishra, Siddhartha
2019
Numerical approximation of statistical solutions of scalar conservation laws. Zbl 1404.65113
Fjordholm, U. S.; Lye, K.; Mishra, Siddhartha
2018
Entropy-stable space-time DG schemes for non-conservative hyperbolic systems. Zbl 1405.65121
Hiltebrand, Andreas; Mishra, Siddhartha
2018
Efficient computation of all speed flows using an entropy stable shock-capturing space-time discontinuous Galerkin method. Zbl 1398.65251
Hiltebrand, Andreas; Mishra, Siddhartha
2018
Construction of approximate entropy measure-valued solutions for hyperbolic systems of conservation laws. Zbl 1371.65080
Fjordholm, Ulrik S.; Käppeli, Roger; Mishra, Siddhartha; Tadmor, Eitan
2017
Uncertainty qualification for hyperbolic systems of conservation laws. Zbl 1368.65205
Abgrall, R.; Mishra, S.
2017
Statistical solutions of hyperbolic conservation laws: foundations. Zbl 1373.35193
Fjordholm, U. S.; Lanthaler, S.; Mishra, S.
2017
Schemes with well-controlled dissipation. hyperbolic systems in nonconservative form. Zbl 1373.76155
Beljadid, Abdelaziz; Lefloch, Philippe G.; Mishra, Siddhartha; Parés, Carlos
2017
Numerical methods for conservation laws with discontinuous coefficients. Zbl 1368.65156
Mishra, S.
2017
Monte-Carlo finite-volume methods in uncertainty quantification for hyperbolic conservation laws. Zbl 1407.65150
Mishra, Siddhartha; Schwab, Christoph
2017
On the computation of measure-valued solutions. Zbl 1382.76001
Fjordholm, Ulrik S.; Mishra, Siddhartha; Tadmor, Eitan
2016
Entropy stable scheme on two-dimensional unstructured grids for Euler equations. Zbl 1373.76143
Ray, Deep; Chandrashekar, Praveen; Fjordholm, Ulrik S.; Mishra, Siddhartha
2016
Numerical solution of scalar conservation laws with random flux functions. Zbl 1343.65007
Mishra, Siddhartha; Risebro, Nils Henrik; Schwab, Christoph; Tokareva, Svetlana
2016
Multi-level Monte Carlo finite volume methods for uncertainty quantification of acoustic wave propagation in random heterogeneous layered medium. Zbl 1351.76117
Mishra, S.; Schwab, Ch.; Šukys, J.
2016
On a model for the evolution of morphogens in a growing tissue. Zbl 1381.35186
Coclite, Giuseppe Maria; Coclite, Mario Michele; Mishra, S.
2016
Numerical approximation of statistical solutions of planar, incompressible flows. Zbl 1416.76184
Leonardi, Filippo; Mishra, Siddhartha; Schwab, Christoph
2016
Entropy stability and well-balancedness of space-time DG for the shallow water equations with bottom topography. Zbl 1431.76032
Hiltebrand, Andreas; Mishra, Siddhartha
2016
Computation of measure-valued solutions for the incompressible Euler equations. Zbl 1404.76186
Lanthaler, Samuel; Mishra, Siddharta
2015
Schemes with well-controlled dissipation. Zbl 1318.65049
Ernest, Jan; LeFloch, Philippe G.; Mishra, Siddhartha
2015
Accurate numerical schemes for approximating initial-boundary value problems for systems of conservation laws. Zbl 1316.65078
Mishra, Siddhartha; Spinolo, Laura V.
2015
Efficient preconditioners for a shock capturing space-time discontinuous Galerkin method for systems of conservation laws. Zbl 1373.76090
Hiltebrand, Andreas; Mishra, Siddhartha
2015
Well-balanced schemes for the Euler equations with gravitation. Zbl 1349.76345
Käppeli, R.; Mishra, S.
2014
Entropy stable shock capturing space-time discontinuous Galerkin schemes for systems of conservation laws. Zbl 1303.65083
Hiltebrand, Andreas; Mishra, Siddhartha
2014
Numerical methods with controlled dissipation for small-scale dependent shocks. Zbl 1398.65211
LeFloch, Philippe G.; Mishra, Siddhartha
2014
Analysis and numerical approximation of Brinkman regularization of two-phase flows in porous media. Zbl 1392.76075
Coclite, G. M.; Mishra, S.; Risebro, N. H.; Weber, F.
2014
High order SFV and mixed SDG/FV methods for the uncertainty quantification in multidimensional conservation laws. Zbl 1421.76164
Tokareva, Svetlana; Schwab, Christoph; Mishra, Siddhartha
2014
ENO reconstruction and ENO interpolation are stable. Zbl 1273.65120
Fjordholm, Ulrik S.; Mishra, Siddhartha; Tadmor, Eitan
2013
Uncertainty quantification in computational fluid dynamics. Zbl 1276.76005
2013
Convergence of vanishing capillarity approximations for scalar conservation laws with discontinuous fluxes. Zbl 1284.35276
Coclite, Giuseppe Maria; Di Ruvo, Lorenzo; Ernest, Jan; Mishra, Siddhartha
2013
Multi-level Monte Carlo finite volume methods for uncertainty quantification in nonlinear systems of balance laws. Zbl 1276.76066
Mishra, Siddhartha; Schwab, Christoph; Šukys, Jonas
2013
Entropy conservative and entropy stable schemes for nonconservative hyperbolic systems. Zbl 1317.65167
Castro, Manuel J.; Fjordholm, Ulrik S.; Mishra, Siddhartha; Parés, Carlos
2013
Multi-level Monte Carlo finite difference and finite volume methods for stochastic linear hyperbolic systems. Zbl 1302.65032
Šukys, Jonas; Mishra, Siddhartha; Schwab, Christoph
2013
Arbitrarily high-order accurate entropy stable essentially nonoscillatory schemes for systems of conservation laws. Zbl 1252.65150
Fjordholm, Ulrik S.; Mishra, Siddhartha; Tadmor, Eitan
2012
Sparse tensor multi-level Monte Carlo finite volume methods for hyperbolic conservation laws with random initial data. Zbl 1271.65018
Mishra, Siddhartha; Schwab, Christoph
2012
Multi-level Monte Carlo finite volume methods for nonlinear systems of conservation laws in multi-dimensions. Zbl 1402.76083
Mishra, S.; Schwab, Ch.; Šukys, J.
2012
Multilevel Monte Carlo finite volume methods for shallow water equations with uncertain topography in multi-dimensions. Zbl 1263.76045
Mishra, S.; Schwab, Ch.; Šukys, J.
2012
Entropy stable numerical schemes for two-fluid plasma equations. Zbl 1311.76150
Kumar, Harish; Mishra, Siddhartha
2012
Higher-order finite difference schemes for the magnetic induction equations with resistivity. Zbl 1252.78033
Koley, U.; Mishra, S.; Risebro, N. H.; Svärd, M.
2012
Accurate numerical discretizations of non-conservative hyperbolic systems. Zbl 1272.65064
Fjordholm, Ulrik Skre; Mishra, Siddhartha
2012
Entropy stable schemes for initial-boundary-value conservation laws. Zbl 1263.65083
Svärd, Magnus; Mishra, Siddhartha
2012
Entropy stable ENO scheme. Zbl 1284.65117
Fjordholm, Ulrik S.; Mishra, Siddhartha; Tadmor, Eitan
2012
A hyperbolic-elliptic model of two-phase flow in porous media-existence of entropy solutions. Zbl 1277.76100
Coclite, G. M.; Karlsen, K. H.; Mishra, S.; Risebro, N. H.
2012
Constraint preserving schemes using potential-based fluxes. III: Genuinely multi-dimensional schemes for MHD equations. Zbl 1310.76119
2012
Well-balanced and energy stable schemes for the shallow water equations with discontinuous topography. Zbl 1452.35149
Fjordholm, Ulrik S.; Mishra, Siddhartha; Tadmor, Eitan
2011
Approximate Riemann solvers and robust high-order finite volume schemes for multi-dimensional ideal MHD equations. Zbl 1364.76113
Fuchs, Franz Georg; McMurry, Andrew D.; Mishra, Siddhartha; Risebro, Nils Henrik; Waagan, Knut
2011
Constraint preserving schemes using potential-based fluxes. II: Genuinely multidimensional systems of conservation laws. Zbl 1231.65143
2011
Implicit-explicit schemes for flow equations with stiff source terms. Zbl 1270.76048
Svärd, Magnus; Mishra, Siddhartha
2011
Vorticity preserving finite volume schemes for the shallow water equations. Zbl 1368.76039
Fjordholm, Ulrik S.; Mishra, Siddhartha
2011
Constraint preserving schemes using potential-based fluxes I. multidimensional transport equations. Zbl 1364.65168
2011
On stability of numerical schemes via frozen coefficients and the magnetic induction equations. Zbl 1205.65248
Mishra, Siddhartha; Svärd, Magnus
2010
On the upstream mobility scheme for two-phase flow in porous media. Zbl 1398.76220
Mishra, Siddhartha; Jaffré, Jérôme
2010
Convergence of an Engquist-Osher scheme for a multi-dimensional triangular system of conservation laws. Zbl 1369.65108
Coclite, G. M.; Mishra, S.; Risebro, N. H.
2010
High-order well-balanced finite volume schemes for simulating wave propagation in stratified magnetic atmospheres. Zbl 1190.76153
Fuchs, F. G.; McMurry, A. D.; Mishra, S.; Risebro, N. H.; Waagan, K.
2010
Finite volume methods for wave propagation in stratified magneto-atmospheres. Zbl 1364.76114
Fuchs, Franz Georg; Mcmurry, Andrew D.; Mishra, Siddhartha; Risebro, Nils Henrik; Waagan, Knut
2010
Energy preserving and energy stable schemes for the shallow water equations. Zbl 1381.76236
Fjordholm, Ulrik S.; Mishra, Siddhartha; Tadmor, Eitan
2009
Stable upwind schemes for the magnetic induction equation. Zbl 1177.78057
Fuchs, Franz G.; Karlsen, Kenneth H.; Mishra, Siddharta; Risebro, Nils H.
2009
Splitting based finite volume schemes for ideal MHD equations. Zbl 1259.76021
Fuchs, F. G.; Mishra, S.; Risebro, N. H.
2009
Convergence of finite volume schemes for triangular systems of conservation laws. Zbl 1190.65133
Karlsen, Kenneth Hvistendahl; Mishra, Siddhartha; Risebro, Nils Henrik
2009
Higher order finite difference schemes for the magnetic induction equations. Zbl 1168.78317
Koley, Ujjwal; Mishra, Siddhartha; Risebro, Nils Henrik; Svärd, Magnus
2009
Shock capturing artificial dissipation for high-order finite difference schemes. Zbl 1203.76104
Svärd, Magnus; Mishra, Siddhartha
2009
Well-balanced schemes for conservation laws with source terms based on a local discontinuous flux formulation. Zbl 1198.35149
Karlsen, Kenneth Hvistendahl; Mishra, Siddhartha; Risebro, Nils Henrik
2009
Convergence of vanishing viscosity approximations of $$2\times 2$$ triangular systems of multi-dimensional conservation laws. Zbl 1178.35246
Coclite, G. M.; Karlsen, K. H.; Mishra, S.; Risebro, N. H.
2009
Semi-Godunov schemes for multiphase flows in porous media. Zbl 1191.35022
Karlsen, K. H.; Mishra, S.; Risebro, N. H.
2009
Kinetic functions in magnetohydrodynamics with resistivity and Hall effect. Zbl 1212.35301
LeFloch, Philippe G.; Mishra, Siddhartha
2009
Vorticity preserving schemes using potential-based fluxes for the system wave equation. Zbl 1407.76022
2009
Semi-Godunov schemes for general triangular systems of conservation laws. Zbl 1133.76033
Karlsen, Kenneth Hvistendahl; Mishra, Siddhartha; Risebro, Nils Henrik
2008
Existence and stability of entropy solutions for a conservation law with discontinuous non-convex fluxes. Zbl 1142.35508
Adimurthi; Mishra, Siddhartha; Gowda, G. D. Veerappa
2007
Convergence of Godunov type methods for a conservation law with a spatially varying discontinuous flux function. Zbl 1116.35084
Adimurthi; Mishra, Siddhartha; Gowda, G. D. Veerappa
2007
Conservation law with the flux function discontinuous in the space variable. II: Convex-concave type fluxes and generalized entropy solutions. Zbl 1131.65071
Adimurthi; Mishra, Siddhartha; Veerappa Gowda, G. D.
2007
Explicit Hopf-Lax type formulas for Hamilton-Jacobi equations and conservation laws with discontinuous coefficients. Zbl 1128.35067
Adimurthi; Mishra, Siddhartha; Gowda, G. D. Veerappa
2007
Optimal entropy solutions for conservation laws with discontinuous flux-functions. Zbl 1093.35045
Adimurthi; Mishra, Siddhartha; Veerappa Gowda, G. D.
2005
Convergence of upwind finite difference schemes for a scalar conservation law with indefinite discontinuities in the flux function. Zbl 1096.35085
Mishra, Siddhartha
2005
On conservation laws with discontinuous flux. Zbl 1076.76069
Bürger, Raimund; Karlsen, Kenneth H.; Mishra, Siddharta; Towers, John D.
2005
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### Cited by 787 Authors

 46 Mishra, Siddhartha 24 Coclite, Giuseppe Maria 19 Risebro, Nils Henrik 18 Gassner, Gregor J. 17 Winters, Andrew R. 14 Schwab, Christoph 13 Feireisl, Eduard 13 Svärd, Magnus 12 Karlsen, Kenneth Hvistendahl 12 Klingenberg, Christian 11 Di Ruvo, Lorenzo 11 Gowda, G. D. Veerappa 10 Andreianov, Boris 10 Chandrashekar, Praveen 10 Fjordholm, Ulrik Skre 10 Rohde, Christian 9 Castro, Manuel J. 8 Adimurthi, A. 8 Bürger, Raimund 8 Carpenter, Mark H. 8 Kumar, Harish 8 Li, Gang 8 Ranocha, Hendrik 7 Cancès, Clément 7 Ray, Deep 7 Shu, Chi-Wang 7 Tadmor, Eitan 7 Xing, Yulong 6 Barth, Andrea 6 Del Rey Fernández, David C. 6 Dumbser, Michael 6 Koley, Ujjwal 6 Lukáčová-Medvid’ová, Mária 6 Nordström, Jan 6 Towers, John D. 6 Wu, Kailiang 5 Abgrall, Rémi 5 Biswas, Biswarup 5 Chan, Jesse 5 Garavello, Mauro 5 Goatin, Paola 5 Gwiazda, Piotr 5 Ismail, Farzad 5 Jentzen, Arnulf 5 Jin, Shi 5 Kopriva, David Alan 5 Kriksin, Yu. A. 5 Kurganov, Alexander 5 Lanthaler, Samuel 5 LeFloch, Philippe Gerard 5 Murillo, Javier 5 Navas-Montilla, A. 5 Parés Madroñal, Carlos 5 Parsani, Matteo 5 Shen, Chun 5 Šukys, Jonas 5 Sun, Meina 5 Świerczewska-Gwiazda, Agnieszka 5 Tishkin, Vladimir Fëdorovich 5 Zlotnik, Alexander A. 4 Balsara, Dinshaw S. 4 Berberich, Jonas P. 4 Bermúdez, Alfredo 4 Bragin, Michael D. 4 Chalons, Christophe 4 Coclite, Mario Michele 4 Coquel, Frédéric 4 Derigs, Dominik 4 Fuchs, Franz Georg 4 Ghoshal, Shyam Sundar 4 Hoel, Hakon A. 4 Käppeli, Roger 4 Kröker, Ilja 4 Kumar, Prashant 4 López, Xián 4 Meyer, Fabian 4 Pareschi, Lorenzo 4 Sarkar, Tanmay 4 Schlachter, Louisa 4 Tang, Huazhong 4 Tempone, Raúl F. 4 Vázquez-Cendón, María Elena 4 Walch, Stefanie 4 Wang, Guodong 4 Weber, Franziska 4 Weng, Zhifeng 4 Wiedemann, Emil 4 Zhai, Shuying 3 Barsukow, Wasilij 3 Berthon, Christophe 3 Březina, Jan 3 Brull, Stephane 3 Chaudhry, Jehanzeb Hameed 3 Chizari, Hossain 3 Diehl, Stefan 3 Duan, Junming 3 Dubey, Ritesh Kumar 3 Epshteyn, Yekaterina 3 Foucher, Françoise 3 Gaburro, Elena ...and 687 more Authors
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### Cited in 125 Serials

 97 Journal of Computational Physics 47 Journal of Scientific Computing 27 Computers and Fluids 21 SIAM Journal on Scientific Computing 16 ZAMP. Zeitschrift für angewandte Mathematik und Physik 15 Numerische Mathematik 14 Computers & Mathematics with Applications 14 SIAM Journal on Numerical Analysis 13 Applied Mathematics and Computation 13 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 13 Communications in Computational Physics 12 Mathematics of Computation 12 Networks and Heterogeneous Media 11 Computer Methods in Applied Mechanics and Engineering 10 BIT 10 Journal of Differential Equations 10 Journal of Hyperbolic Differential Equations 9 Journal of Computational and Applied Mathematics 9 Applied Numerical Mathematics 9 SIAM/ASA Journal on Uncertainty Quantification 8 Computational Geosciences 7 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 6 Journal of Mathematical Analysis and Applications 6 Matematicheskoe Modelirovanie 5 Foundations of Computational Mathematics 4 Archive for Rational Mechanics and Analysis 4 Journal of Engineering Mathematics 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Applied Mathematics Letters 4 Applied Mathematical Modelling 4 SIAM Journal on Mathematical Analysis 3 Calcolo 3 Acta Applicandae Mathematicae 3 Mathematical Modelling and Analysis 3 Bulletin of the Brazilian Mathematical Society. New Series 3 Acta Numerica 3 Mathematical Biosciences and Engineering 3 Discrete and Continuous Dynamical Systems. Series S 3 Advances in Applied Mathematics and Mechanics 2 Journal of Fluid Mechanics 2 Journal of Statistical Physics 2 Nonlinearity 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Physica D 2 Computational Mathematics and Mathematical Physics 2 SIAM Journal on Applied Mathematics 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 Journal of Evolution Equations 2 Computational Methods in Applied Mathematics 2 Journal of Numerical Mathematics 2 Multiscale Modeling & Simulation 2 S$$\vec{\text{e}}$$MA Journal 2 Stochastic and Partial Differential Equations. Analysis and Computations 2 Research in the Mathematical Sciences 2 Annals of PDE 2 Communications on Applied Mathematics and Computation 2 SN Partial Differential Equations and Applications 1 Applicable Analysis 1 Classical and Quantum Gravity 1 Communications on Pure and Applied Mathematics 1 Indian Journal of Pure & Applied Mathematics 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal of Mathematical Physics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Annales Universitatis Mariae Curie-Skłodowska. Sectio A. Mathematica 1 Journal of Functional Analysis 1 Journal of the Mathematical Society of Japan 1 Quarterly of Applied Mathematics 1 SIAM Journal on Control and Optimization 1 Transactions of the American Mathematical Society 1 Journal of Complexity 1 Constructive Approximation 1 Computational Mechanics 1 European Journal of Applied Mathematics 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Multidimensional Systems and Signal Processing 1 Numerical Algorithms 1 Communications in Partial Differential Equations 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Bulletin of the American Mathematical Society. New Series 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Topological Methods in Nonlinear Analysis 1 Calculus of Variations and Partial Differential Equations 1 Computational and Applied Mathematics 1 International Journal of Numerical Methods for Heat & Fluid Flow 1 NoDEA. Nonlinear Differential Equations and Applications 1 Russian Journal of Numerical Analysis and Mathematical Modelling 1 Bulletin des Sciences Mathématiques 1 Advances in Computational Mathematics 1 Discrete and Continuous Dynamical Systems 1 Doklady Mathematics 1 International Journal of Computational Fluid Dynamics 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Vietnam Journal of Mathematics 1 Communications in Nonlinear Science and Numerical Simulation 1 Optimization and Engineering 1 The ANZIAM Journal 1 Nonlinear Analysis. Real World Applications 1 Discrete and Continuous Dynamical Systems. Series B 1 Advanced Nonlinear Studies ...and 25 more Serials
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### Cited in 35 Fields

 396 Numerical analysis (65-XX) 373 Partial differential equations (35-XX) 311 Fluid mechanics (76-XX) 31 Probability theory and stochastic processes (60-XX) 22 Operations research, mathematical programming (90-XX) 18 Computer science (68-XX) 15 Statistical mechanics, structure of matter (82-XX) 11 Mechanics of deformable solids (74-XX) 10 Calculus of variations and optimal control; optimization (49-XX) 10 Optics, electromagnetic theory (78-XX) 10 Geophysics (86-XX) 9 Ordinary differential equations (34-XX) 9 Statistics (62-XX) 9 Astronomy and astrophysics (85-XX) 9 Biology and other natural sciences (92-XX) 6 Dynamical systems and ergodic theory (37-XX) 5 Approximations and expansions (41-XX) 5 Systems theory; control (93-XX) 4 Operator theory (47-XX) 4 Relativity and gravitational theory (83-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Real functions (26-XX) 2 Measure and integration (28-XX) 2 Functional analysis (46-XX) 2 Mechanics of particles and systems (70-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Difference and functional equations (39-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 General topology (54-XX) 1 Global analysis, analysis on manifolds (58-XX)

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