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Mishra, Siddhartha

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 Author ID: mishra.siddhartha Published as: Mishra, S.; Mishra, Siddharta; Mishra, Siddhartha Homepage: https://www.math.ethz.ch/sam/the-institute/people/siddhartha-mishra.html External Links: MGP · Wikidata · ORCID · dblp · GND
 Documents Indexed: 86 Publications since 2005, including 1 Book
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Co-Authors

 5 single-authored 17 Risebro, Nils Henrik 14 Fjordholm, Ulrik Skre 12 Tadmor, Eitan 11 Schwab, Christoph 9 Karlsen, Kenneth Hvistendahl 7 Fuchs, Franz Georg 6 Coclite, Giuseppe Maria 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 Lanthaler, Samuel 2 Castro, Manuel J. 2 Ernest, Jan 2 Käppeli, Roger 2 Koley, Ujjwal 2 Lye, K. 2 Parés Madroñal, Carlos 2 Ray, Deep 2 Tokareva, Svetlana A. 1 Abgrall, Rémi 1 Bao, Weizhu 1 Beljadid, Abdelaziz 1 Bijl, Hester 1 Bürger, Raimund 1 Chandrashekar, Praveen 1 Coclite, Mario Michele 1 Corti, Paolo 1 de la Asunción, Marc 1 Di Ruvo, Lorenzo 1 Jaffré, Jérôme 1 Kumar, Harish 1 Leonardi, Filippo 1 Lucor, Didier 1 Lye, Kjetil O. 1 Sánchez-Linares, C. 1 Spinolo, Laura V. 1 Tang, Tao 1 Towers, John D. 1 Weber, Franziska 1 Weber, Frederic
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Serials

 7 Journal of Computational Physics 7 Communications in Computational Physics 6 SIAM Journal on Numerical Analysis 4 Mathematics of Computation 4 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 3 BIT 3 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 3 Foundations of Computational Mathematics 3 Networks and Heterogeneous Media 2 Journal of Engineering Mathematics 2 Journal of Computational and Applied Mathematics 2 Numerische Mathematik 2 Journal of Scientific Computing 2 SIAM Journal on Scientific Computing 2 Computational Geosciences 2 Journal of Hyperbolic Differential Equations 2 Acta Numerica 1 Archive for Rational Mechanics and Analysis 1 IMA Journal of Numerical Analysis 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Journal of Differential Equations 1 Applied Numerical 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 Mathematics in Engineering
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Fields

 69 Numerical analysis (65-XX) 61 Partial differential equations (35-XX) 52 Fluid mechanics (76-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) 2 Computer science (68-XX) 2 Geophysics (86-XX) 2 Operations research, mathematical programming (90-XX) 1 General and overarching topics; collections (00-XX) 1 Measure and integration (28-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Biology and other natural sciences (92-XX)

Citations contained in zbMATH

74 Publications have been cited 807 times in 429 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
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 and energy stable schemes for the shallow water equations with discontinuous topography. Zbl 05920301
Fjordholm, Ulrik S.; Mishra, Siddhartha; Tadmor, Eitan
2011
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
Well-balanced schemes for the Euler equations with gravitation. Zbl 1349.76345
Käppeli, R.; Mishra, S.
2014
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
Convergence of upwind finite difference schemes for a scalar conservation law with indefinite discontinuities in the flux function. Zbl 1096.35085
Mishra, Siddhartha
2005
ENO reconstruction and ENO interpolation are stable. Zbl 1273.65120
Fjordholm, Ulrik S.; Mishra, Siddhartha; Tadmor, Eitan
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
On stability of numerical schemes via frozen coefficients and the magnetic induction equations. Zbl 1205.65248
Mishra, Siddhartha; Svärd, Magnus
2010
Stable upwind schemes for the magnetic induction equation. Zbl 1177.78057
Fuchs, Franz G.; Karlsen, Kenneth H.; Mishra, Siddharta; Risebro, Nils H.
2009
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
Entropy stable scheme on two-dimensional unstructured grids for Euler equations. Zbl 1373.76143
Ray, Deep; Chandrashekar, Praveen; Fjordholm, Ulrik S.; Mishra, Siddhartha
2016
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
Energy preserving and energy stable schemes for the shallow water equations. Zbl 1381.76236
Fjordholm, Ulrik S.; Mishra, Siddhartha; Tadmor, Eitan
2009
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
Convergence of finite volume schemes for triangular systems of conservation laws. Zbl 1190.65133
Karlsen, Kenneth Hvistendahl; Mishra, Siddhartha; Risebro, Nils Henrik
2009
Numerical methods with controlled dissipation for small-scale dependent shocks. Zbl 1398.65211
LeFloch, Philippe G.; Mishra, Siddhartha
2014
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
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 the upstream mobility scheme for two-phase flow in porous media. Zbl 1398.76220
Mishra, Siddhartha; Jaffré, Jérôme
2010
Higher order finite difference schemes for the magnetic induction equations. Zbl 1168.78317
Koley, Ujjwal; Mishra, Siddhartha; Risebro, Nils Henrik; Svärd, Magnus
2009
Splitting based finite volume schemes for ideal MHD equations. Zbl 1259.76021
Fuchs, F. G.; Mishra, S.; Risebro, N. H.
2009
Uncertainty qualification for hyperbolic systems of conservation laws. Zbl 1368.65205
Abgrall, R.; Mishra, S.
2017
Numerical solution of scalar conservation laws with random flux functions. Zbl 1343.65007
Mishra, Siddhartha; Risebro, Nils Henrik; Schwab, Christoph; Tokareva, Svetlana
2016
Uncertainty quantification in computational fluid dynamics. Zbl 1276.76005
Bijl, Hester (ed.); Lucor, Didier (ed.); Mishra, Siddhartha (ed.); Schwab, Christoph (ed.)
2013
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
On a model for the evolution of morphogens in a growing tissue. Zbl 1381.35186
Coclite, Giuseppe Maria; Coclite, Mario Michele; Mishra, S.
2016
Entropy conservative and entropy stable schemes for nonconservative hyperbolic systems. Zbl 1317.65167
Castro, Manuel J.; Fjordholm, Ulrik S.; Mishra, Siddhartha; Parés, Carlos
2013
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
Statistical solutions of hyperbolic conservation laws: foundations. Zbl 1373.35193
Fjordholm, U. S.; Lanthaler, S.; Mishra, S.
2017
Entropy stable schemes for initial-boundary-value conservation laws. Zbl 1263.65083
Svärd, Magnus; Mishra, Siddhartha
2012
Shock capturing artificial dissipation for high-order finite difference schemes. Zbl 1203.76104
Svärd, Magnus; Mishra, Siddhartha
2009
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
Accurate numerical discretizations of non-conservative hyperbolic systems. Zbl 1272.65064
Fjordholm, Ulrik Skre; Mishra, Siddhartha
2012
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
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
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
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
Semi-Godunov schemes for multiphase flows in porous media. Zbl 1191.35022
Karlsen, K. H.; Mishra, S.; Risebro, N. H.
2009
On conservation laws with discontinuous flux. Zbl 1076.76069
Bürger, Raimund; Karlsen, Kenneth H.; Mishra, Siddharta; Towers, John D.
2005
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
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
Entropy stable ENO scheme. Zbl 1284.65117
Fjordholm, Ulrik S.; Mishra, Siddhartha; Tadmor, Eitan
2012
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
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
Statistical solutions of hyperbolic systems of conservation laws: numerical approximation. Zbl 1436.65121
Fjordholm, U. S.; Lye, K.; Mishra, S.; Weber, F.
2020
Numerical approximation of statistical solutions of scalar conservation laws. Zbl 1404.65113
Fjordholm, U. S.; Lye, K.; Mishra, Siddhartha
2018
Computation of measure-valued solutions for the incompressible Euler equations. Zbl 1404.76186
Lanthaler, Samuel; Mishra, Siddharta
2015
Accurate numerical schemes for approximating initial-boundary value problems for systems of conservation laws. Zbl 1316.65078
Mishra, Siddhartha; Spinolo, Laura V.
2015
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
Constraint preserving schemes using potential-based fluxes I. multidimensional transport equations. Zbl 1364.65168
2011
Kinetic functions in magnetohydrodynamics with resistivity and Hall effect. Zbl 1212.35301
LeFloch, Philippe G.; Mishra, Siddhartha
2009
Monte-Carlo finite-volume methods in uncertainty quantification for hyperbolic conservation laws. Zbl 1407.65150
Mishra, Siddhartha; Schwab, Christoph
2017
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
Efficient preconditioners for a shock capturing space-time discontinuous Galerkin method for systems of conservation laws. Zbl 1373.76090
Hiltebrand, Andreas; Mishra, Siddhartha
2015
Vorticity preserving finite volume schemes for the shallow water equations. Zbl 1368.76039
Fjordholm, Ulrik S.; Mishra, Siddhartha
2011
Semi-Godunov schemes for general triangular systems of conservation laws. Zbl 1133.76033
Karlsen, Kenneth Hvistendahl; Mishra, Siddhartha; Risebro, Nils Henrik
2008
Deep learning observables in computational fluid dynamics. Zbl 1436.76051
Lye, Kjetil O.; Mishra, Siddhartha; Ray, Deep
2020
A machine learning framework for data driven acceleration of computations of differential equations. Zbl 1435.68279
Mishra, Siddhartha
2019
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
Numerical approximation of statistical solutions of planar, incompressible flows. Zbl 1416.76184
Leonardi, Filippo; Mishra, Siddhartha; Schwab, Christoph
2016
Schemes with well-controlled dissipation. Zbl 1318.65049
Ernest, Jan; LeFloch, Philippe G.; Mishra, Siddhartha
2015
Constraint preserving schemes using potential-based fluxes. III: Genuinely multi-dimensional schemes for MHD equations. Zbl 1310.76119
2012
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
Vorticity preserving schemes using potential-based fluxes for the system wave equation. Zbl 1407.76022
2009
Statistical solutions of hyperbolic systems of conservation laws: numerical approximation. Zbl 1436.65121
Fjordholm, U. S.; Lye, K.; Mishra, S.; Weber, F.
2020
Deep learning observables in computational fluid dynamics. Zbl 1436.76051
Lye, Kjetil O.; Mishra, Siddhartha; Ray, Deep
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
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
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
Numerical solution of scalar conservation laws with random flux functions. Zbl 1343.65007
Mishra, Siddhartha; Risebro, Nils Henrik; Schwab, Christoph; Tokareva, Svetlana
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
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
Numerical approximation of statistical solutions of planar, incompressible flows. Zbl 1416.76184
Leonardi, Filippo; Mishra, Siddhartha; Schwab, Christoph
2016
Computation of measure-valued solutions for the incompressible Euler equations. Zbl 1404.76186
Lanthaler, Samuel; Mishra, Siddharta
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
Schemes with well-controlled dissipation. Zbl 1318.65049
Ernest, Jan; LeFloch, Philippe G.; 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
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
Uncertainty quantification in computational fluid dynamics. Zbl 1276.76005
Bijl, Hester (ed.); Lucor, Didier (ed.); Mishra, Siddhartha (ed.); Schwab, Christoph (ed.)
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
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
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 schemes for initial-boundary-value conservation laws. Zbl 1263.65083
Svärd, Magnus; Mishra, Siddhartha
2012
Accurate numerical discretizations of non-conservative hyperbolic systems. Zbl 1272.65064
Fjordholm, Ulrik Skre; Mishra, Siddhartha
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
Entropy stable ENO scheme. Zbl 1284.65117
Fjordholm, Ulrik S.; Mishra, Siddhartha; Tadmor, Eitan
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 05920301
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
Constraint preserving schemes using potential-based fluxes I. multidimensional transport equations. Zbl 1364.65168
2011
Vorticity preserving finite volume schemes for the shallow water equations. Zbl 1368.76039
Fjordholm, Ulrik S.; Mishra, Siddhartha
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
Stable upwind schemes for the magnetic induction equation. Zbl 1177.78057
Fuchs, Franz G.; Karlsen, Kenneth H.; Mishra, Siddharta; Risebro, Nils H.
2009
Energy preserving and energy stable schemes for the shallow water equations. Zbl 1381.76236
Fjordholm, Ulrik S.; Mishra, Siddhartha; Tadmor, Eitan
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
Splitting based finite volume schemes for ideal MHD equations. Zbl 1259.76021
Fuchs, F. G.; Mishra, S.; Risebro, N. H.
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
Semi-Godunov schemes for multiphase flows in porous media. Zbl 1191.35022
Karlsen, K. H.; Mishra, S.; Risebro, N. H.
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
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
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
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
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 565 Authors

 41 Mishra, Siddhartha 22 Coclite, Giuseppe Maria 19 Risebro, Nils Henrik 14 Gassner, Gregor J. 14 Winters, Andrew R. 12 Karlsen, Kenneth Hvistendahl 11 Feireisl, Eduard 11 Schwab, Christoph 11 Svärd, Magnus 10 Andreianov, Boris 10 Di Ruvo, Lorenzo 10 Fjordholm, Ulrik Skre 9 Gowda, G. D. Veerappa 9 Rohde, Christian 8 Adimurthi, A. 8 Klingenberg, Christian 8 Li, Gang 7 Bürger, Raimund 7 Cancès, Clément 7 Tadmor, Eitan 6 Barth, Andrea 6 Carpenter, Mark H. 6 Chandrashekar, Praveen 6 Kumar, Harish 6 Towers, John D. 5 Castro, Manuel J. 5 Fuchs, Franz Georg 5 Goatin, Paola 5 Gwiazda, Piotr 5 Koley, Ujjwal 5 Navas-Montilla, A. 5 Shen, Chun 5 Šukys, Jonas 5 Sun, Meina 5 Świerczewska-Gwiazda, Agnieszka 5 Xing, Yulong 4 Abgrall, Rémi 4 Bermúdez, Alfredo 4 Coclite, Mario Michele 4 Derigs, Dominik 4 Dumbser, Michael 4 Ghoshal, Shyam Sundar 4 Hoel, Hakon A. 4 Jin, Shi 4 Kopriva, David Alan 4 Kröker, Ilja 4 Kumar, Prashant 4 Kurganov, Alexander 4 López, Xián 4 Lukáčová-Medvid’ová, Mária 4 Nordström, Jan 4 Ranocha, Hendrik 4 Ray, Deep 4 Tempone, Raúl F. 4 Vázquez-Cendón, María Elena 4 Walch, Stefanie 4 Wang, Guodong 4 Zlotnik, Alexander A. 3 Balsara, Dinshaw S. 3 Berthon, Christophe 3 Biswas, Biswarup 3 Březina, Jan 3 Chalons, Christophe 3 Chaudhry, Jehanzeb Hameed 3 Del Rey Fernández, David C. 3 Diehl, Stefan 3 Dubey, Ritesh Kumar 3 Foucher, Françoise 3 Garavello, Mauro 3 Gaspar, Francisco José 3 Hiltebrand, Andreas 3 Ismail, Farzad 3 Käppeli, Roger 3 Kreml, Ondřej 3 Kriksin, Yu. A. 3 Lanthaler, Samuel 3 LeFloch, Philippe Gerard 3 Meyer, Fabian 3 Murillo, José Alberto 3 Nobile, Fabio 3 Oosterlee, Cornelis Willebrordus 3 Parsani, Matteo 3 Qian, Shouguo 3 Rosini, Massimiliano Daniele 3 Sarkar, Tanmay 3 Shadid, John N. 3 Shu, Chi-Wang 3 Tishkin, Vladimir Fëdorovich 3 Tokareva, Svetlana A. 3 Waagan, Knut 3 Weber, Franziska 3 Wiedemann, Emil 3 Wu, Kailiang 2 Abreu, Eduardo 2 Amano, Takanobu 2 Armiti-Juber, Alaa 2 Baeza, Antonio 2 Barsukow, Wasilij 2 Bierig, Claudio 2 Boscarino, Sebastiano ...and 465 more Authors
all top 5

Cited in 102 Serials

 71 Journal of Computational Physics 38 Journal of Scientific Computing 18 Computers and Fluids 13 ZAMP. Zeitschrift für angewandte Mathematik und Physik 13 Numerische Mathematik 13 SIAM Journal on Numerical Analysis 13 SIAM Journal on Scientific Computing 11 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 10 Mathematics of Computation 10 BIT 10 Networks and Heterogeneous Media 9 Applied Mathematics and Computation 9 Journal of Differential Equations 9 Journal of Hyperbolic Differential Equations 8 Journal of Computational and Applied Mathematics 8 Applied Numerical Mathematics 8 Computational Geosciences 7 Computers & Mathematics with Applications 7 Journal of Mathematical Analysis and Applications 5 Computer Methods in Applied Mechanics and Engineering 5 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 5 Foundations of Computational Mathematics 5 SIAM/ASA Journal on Uncertainty Quantification 4 Archive for Rational Mechanics and Analysis 4 Journal of Engineering Mathematics 4 Matematicheskoe Modelirovanie 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Applied Mathematics Letters 3 Applied Mathematical Modelling 3 SIAM Journal on Mathematical Analysis 3 Bulletin of the Brazilian Mathematical Society. New Series 3 Acta Numerica 3 Discrete and Continuous Dynamical Systems. Series S 2 Acta Applicandae Mathematicae 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Computational Mathematics and Mathematical Physics 2 SIAM Journal on Applied Mathematics 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 Computational Methods in Applied Mathematics 2 Multiscale Modeling & Simulation 2 Mathematical Biosciences and Engineering 2 S$$\vec{\text{e}}$$MA Journal 2 Stochastic and Partial Differential Equations. Analysis and Computations 2 Research in the Mathematical Sciences 1 Applicable Analysis 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 Journal of Statistical Physics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Annales Universitatis Mariae Curie-Skłodowska. Sectio A. Mathematica 1 Calcolo 1 Journal of Functional Analysis 1 Journal of the Mathematical Society of Japan 1 SIAM Journal on Control and Optimization 1 Transactions of the American Mathematical Society 1 Physica D 1 Journal of Complexity 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 SIAM Review 1 Bulletin of the American Mathematical Society. New Series 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 Vietnam Journal of Mathematics 1 Communications in Nonlinear Science and Numerical Simulation 1 Optimization and Engineering 1 Nonlinear Analysis. Real World Applications 1 Journal of Evolution Equations 1 Discrete and Continuous Dynamical Systems. Series B 1 Advanced Nonlinear Studies 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Milan Journal of Mathematics 1 Proceedings of the Steklov Institute of Mathematics 1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 1 Kinetic and Related Models 1 Advances in Mathematical Physics 1 International Journal of Differential Equations 1 Science China. Mathematics 1 GEM - International Journal on Geomathematics 1 Mathematical Control and Related Fields 1 Mathematical Sciences 1 East Asian Journal on Applied Mathematics 1 Annals of PDE 1 AMM. Applied Mathematics and Mechanics. (English Edition) 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 1 Journal of Elliptic and Parabolic Equations 1 Bollettino dell’Unione Matematica Italiana 1 Mathematics in Engineering ...and 2 more Serials
all top 5

Cited in 29 Fields

 284 Numerical analysis (65-XX) 283 Partial differential equations (35-XX) 226 Fluid mechanics (76-XX) 25 Probability theory and stochastic processes (60-XX) 18 Operations research, mathematical programming (90-XX) 11 Optics, electromagnetic theory (78-XX) 11 Statistical mechanics, structure of matter (82-XX) 9 Ordinary differential equations (34-XX) 9 Geophysics (86-XX) 8 Mechanics of deformable solids (74-XX) 7 Computer science (68-XX) 7 Astronomy and astrophysics (85-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 5 Biology and other natural sciences (92-XX) 3 Operator theory (47-XX) 3 Statistics (62-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Real functions (26-XX) 2 Measure and integration (28-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Approximations and expansions (41-XX) 2 Relativity and gravitational theory (83-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Difference and functional equations (39-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 1 Information and communication theory, circuits (94-XX)

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