Edit Profile (opens in new tab) Mishra, Siddhartha Compute Distance To: Compute 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. all top 5 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) Publications by Year all cited Publications top 5 cited Publications 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 1252.65150Fjordholm, Ulrik S.; Mishra, Siddhartha; Tadmor, Eitan 111 2012 Optimal entropy solutions for conservation laws with discontinuous flux-functions. Zbl 1093.35045Adimurthi; Mishra, Siddhartha; Veerappa Gowda, G. D. 73 2005 Well-balanced and energy stable schemes for the shallow water equations with discontinuous topography. Zbl 1452.35149Fjordholm, Ulrik S.; Mishra, Siddhartha; Tadmor, Eitan 54 2011 Sparse tensor multi-level Monte Carlo finite volume methods for hyperbolic conservation laws with random initial data. Zbl 1271.65018Mishra, Siddhartha; Schwab, Christoph 52 2012 Well-balanced schemes for the Euler equations with gravitation. Zbl 1349.76345Käppeli, R.; Mishra, S. 47 2014 Multi-level Monte Carlo finite volume methods for nonlinear systems of conservation laws in multi-dimensions. Zbl 1402.76083Mishra, S.; Schwab, Ch.; Šukys, J. 45 2012 Construction of approximate entropy measure-valued solutions for hyperbolic systems of conservation laws. Zbl 1371.65080Fjordholm, Ulrik S.; Käppeli, Roger; Mishra, Siddhartha; Tadmor, Eitan 40 2017 Entropy stable shock capturing space-time discontinuous Galerkin schemes for systems of conservation laws. Zbl 1303.65083Hiltebrand, Andreas; Mishra, Siddhartha 33 2014 On the computation of measure-valued solutions. Zbl 1382.76001Fjordholm, Ulrik S.; Mishra, Siddhartha; Tadmor, Eitan 29 2016 ENO reconstruction and ENO interpolation are stable. Zbl 1273.65120Fjordholm, Ulrik S.; Mishra, Siddhartha; Tadmor, Eitan 24 2013 Convergence of upwind finite difference schemes for a scalar conservation law with indefinite discontinuities in the flux function. Zbl 1096.35085Mishra, Siddhartha 23 2005 Entropy stable scheme on two-dimensional unstructured grids for Euler equations. Zbl 1373.76143Ray, Deep; Chandrashekar, Praveen; Fjordholm, Ulrik S.; Mishra, Siddhartha 21 2016 On stability of numerical schemes via frozen coefficients and the magnetic induction equations. Zbl 1205.65248Mishra, Siddhartha; Svärd, Magnus 18 2010 Energy preserving and energy stable schemes for the shallow water equations. Zbl 1381.76236Fjordholm, Ulrik S.; Mishra, Siddhartha; Tadmor, Eitan 17 2009 Uncertainty quantification in computational fluid dynamics. Zbl 1276.76005 16 2013 Convergence of vanishing capillarity approximations for scalar conservation laws with discontinuous fluxes. Zbl 1284.35276Coclite, Giuseppe Maria; Di Ruvo, Lorenzo; Ernest, Jan; Mishra, Siddhartha 16 2013 Numerical solution of scalar conservation laws with random flux functions. Zbl 1343.65007Mishra, Siddhartha; Risebro, Nils Henrik; Schwab, Christoph; Tokareva, Svetlana 16 2016 Uncertainty qualification for hyperbolic systems of conservation laws. Zbl 1368.65205Abgrall, R.; Mishra, S. 16 2017 Existence and stability of entropy solutions for a conservation law with discontinuous non-convex fluxes. Zbl 1142.35508Adimurthi; Mishra, Siddhartha; Gowda, G. D. Veerappa 15 2007 Stable upwind schemes for the magnetic induction equation. Zbl 1177.78057Fuchs, Franz G.; Karlsen, Kenneth H.; Mishra, Siddharta; Risebro, Nils H. 15 2009 Numerical methods with controlled dissipation for small-scale dependent shocks. Zbl 1398.65211LeFloch, Philippe G.; Mishra, Siddhartha 15 2014 Multilevel Monte Carlo finite volume methods for shallow water equations with uncertain topography in multi-dimensions. Zbl 1263.76045Mishra, S.; Schwab, Ch.; Šukys, J. 14 2012 Multi-level Monte Carlo finite volume methods for uncertainty quantification in nonlinear systems of balance laws. Zbl 1276.76066Mishra, Siddhartha; Schwab, Christoph; Šukys, Jonas 14 2013 Entropy stable numerical schemes for two-fluid plasma equations. Zbl 1311.76150Kumar, Harish; Mishra, Siddhartha 14 2012 Deep learning observables in computational fluid dynamics. Zbl 1436.76051Lye, Kjetil O.; Mishra, Siddhartha; Ray, Deep 14 2020 Approximate Riemann solvers and robust high-order finite volume schemes for multi-dimensional ideal MHD equations. Zbl 1364.76113Fuchs, Franz Georg; McMurry, Andrew D.; Mishra, Siddhartha; Risebro, Nils Henrik; Waagan, Knut 13 2011 Convergence of Godunov type methods for a conservation law with a spatially varying discontinuous flux function. Zbl 1116.35084Adimurthi; Mishra, Siddhartha; Gowda, G. D. Veerappa 12 2007 Multi-level Monte Carlo finite volume methods for uncertainty quantification of acoustic wave propagation in random heterogeneous layered medium. Zbl 1351.76117Mishra, S.; Schwab, Ch.; Šukys, J. 12 2016 Statistical solutions of hyperbolic conservation laws: foundations. Zbl 1373.35193Fjordholm, U. S.; Lanthaler, S.; Mishra, S. 12 2017 Higher-order finite difference schemes for the magnetic induction equations with resistivity. Zbl 1252.78033Koley, U.; Mishra, S.; Risebro, N. H.; Svärd, M. 11 2012 On a model for the evolution of morphogens in a growing tissue. Zbl 1381.35186Coclite, Giuseppe Maria; Coclite, Mario Michele; Mishra, S. 11 2016 Splitting based finite volume schemes for ideal MHD equations. Zbl 1259.76021Fuchs, F. G.; Mishra, S.; Risebro, N. H. 11 2009 Convergence of finite volume schemes for triangular systems of conservation laws. Zbl 1190.65133Karlsen, Kenneth Hvistendahl; Mishra, Siddhartha; Risebro, Nils Henrik 11 2009 Higher order finite difference schemes for the magnetic induction equations. Zbl 1168.78317Koley, Ujjwal; Mishra, Siddhartha; Risebro, Nils Henrik; Svärd, Magnus 11 2009 Entropy conservative and entropy stable schemes for nonconservative hyperbolic systems. Zbl 1317.65167Castro, Manuel J.; Fjordholm, Ulrik S.; Mishra, Siddhartha; Parés, Carlos 10 2013 On the upstream mobility scheme for two-phase flow in porous media. Zbl 1398.76220Mishra, Siddhartha; Jaffré, Jérôme 10 2010 Accurate numerical discretizations of non-conservative hyperbolic systems. Zbl 1272.65064Fjordholm, Ulrik Skre; Mishra, Siddhartha 9 2012 Conservation law with the flux function discontinuous in the space variable. II: Convex-concave type fluxes and generalized entropy solutions. Zbl 1131.65071Adimurthi; Mishra, Siddhartha; Veerappa Gowda, G. D. 9 2007 Convergence of an Engquist-Osher scheme for a multi-dimensional triangular system of conservation laws. Zbl 1369.65108Coclite, G. M.; Mishra, S.; Risebro, N. H. 9 2010 Entropy stable schemes for initial-boundary-value conservation laws. Zbl 1263.65083Svärd, Magnus; Mishra, Siddhartha 9 2012 Statistical solutions of hyperbolic systems of conservation laws: numerical approximation. Zbl 1436.65121Fjordholm, U. S.; Lye, K.; Mishra, S.; Weber, F. 9 2020 High-order well-balanced finite volume schemes for simulating wave propagation in stratified magnetic atmospheres. Zbl 1190.76153Fuchs, F. G.; McMurry, A. D.; Mishra, S.; Risebro, N. H.; Waagan, K. 8 2010 Schemes with well-controlled dissipation. hyperbolic systems in nonconservative form. Zbl 1373.76155Beljadid, Abdelaziz; Lefloch, Philippe G.; Mishra, Siddhartha; Parés, Carlos 8 2017 Shock capturing artificial dissipation for high-order finite difference schemes. Zbl 1203.76104Svärd, Magnus; Mishra, Siddhartha 8 2009 A machine learning framework for data driven acceleration of computations of differential equations. Zbl 1435.68279Mishra, Siddhartha 8 2019 Computation of measure-valued solutions for the incompressible Euler equations. Zbl 1404.76186Lanthaler, Samuel; Mishra, Siddharta 7 2015 Well-balanced schemes for conservation laws with source terms based on a local discontinuous flux formulation. Zbl 1198.35149Karlsen, Kenneth Hvistendahl; Mishra, Siddhartha; Risebro, Nils Henrik 6 2009 Constraint preserving schemes using potential-based fluxes. II: Genuinely multidimensional systems of conservation laws. Zbl 1231.65143Mishra, Siddhartha; Tadmor, Eitan 6 2011 Analysis and numerical approximation of Brinkman regularization of two-phase flows in porous media. Zbl 1392.76075Coclite, G. M.; Mishra, S.; Risebro, N. H.; Weber, F. 6 2014 Numerical approximation of statistical solutions of scalar conservation laws. Zbl 1404.65113Fjordholm, U. S.; Lye, K.; Mishra, Siddhartha 6 2018 Entropy stable ENO scheme. Zbl 1284.65117Fjordholm, Ulrik S.; Mishra, Siddhartha; Tadmor, Eitan 5 2012 Explicit Hopf-Lax type formulas for Hamilton-Jacobi equations and conservation laws with discontinuous coefficients. Zbl 1128.35067Adimurthi; Mishra, Siddhartha; Gowda, G. D. Veerappa 5 2007 A hyperbolic-elliptic model of two-phase flow in porous media-existence of entropy solutions. Zbl 1277.76100Coclite, G. M.; Karlsen, K. H.; Mishra, S.; Risebro, N. H. 5 2012 Multi-level Monte Carlo finite difference and finite volume methods for stochastic linear hyperbolic systems. Zbl 1302.65032Šukys, Jonas; Mishra, Siddhartha; Schwab, Christoph 5 2013 On conservation laws with discontinuous flux. Zbl 1076.76069Bürger, Raimund; Karlsen, Kenneth H.; Mishra, Siddharta; Towers, John D. 5 2005 Convergence of vanishing viscosity approximations of \(2\times 2\) triangular systems of multi-dimensional conservation laws. Zbl 1178.35246Coclite, G. M.; Karlsen, K. H.; Mishra, S.; Risebro, N. H. 5 2009 Semi-Godunov schemes for multiphase flows in porous media. Zbl 1191.35022Karlsen, K. H.; Mishra, S.; Risebro, N. H. 5 2009 High order SFV and mixed SDG/FV methods for the uncertainty quantification in multidimensional conservation laws. Zbl 1421.76164Tokareva, Svetlana; Schwab, Christoph; Mishra, Siddhartha 4 2014 Numerical methods for conservation laws with discontinuous coefficients. Zbl 1368.65156Mishra, S. 4 2017 Implicit-explicit schemes for flow equations with stiff source terms. Zbl 1270.76048Svärd, Magnus; Mishra, Siddhartha 4 2011 Kinetic functions in magnetohydrodynamics with resistivity and Hall effect. Zbl 1212.35301LeFloch, Philippe G.; Mishra, Siddhartha 3 2009 Vorticity preserving finite volume schemes for the shallow water equations. Zbl 1368.76039Fjordholm, Ulrik S.; Mishra, Siddhartha 3 2011 Schemes with well-controlled dissipation. Zbl 1318.65049Ernest, Jan; LeFloch, Philippe G.; Mishra, Siddhartha 3 2015 Enhancing accuracy of deep learning algorithms by training with low-discrepancy sequences. Zbl 07372628Mishra, Siddhartha; Rusch, T. Konstantin 3 2021 On the convergence of the spectral viscosity method for the two-dimensional incompressible Euler equations with rough initial data. Zbl 1454.65125Lanthaler, Samuel; Mishra, Siddhartha 3 2020 Constraint preserving schemes using potential-based fluxes I. multidimensional transport equations. Zbl 1364.65168Mishra, Siddhartha; Tadmor, Eitan 3 2011 Monte-Carlo finite-volume methods in uncertainty quantification for hyperbolic conservation laws. Zbl 1407.65150Mishra, Siddhartha; Schwab, Christoph 3 2017 Iterative surrogate model optimization (ISMO): an active learning algorithm for PDE constrained optimization with deep neural networks. Zbl 07338021Lye, Kjetil O.; Mishra, Siddhartha; Ray, Deep; Chandrashekar, Praveen 3 2021 Constraint preserving schemes using potential-based fluxes. III: Genuinely multi-dimensional schemes for MHD equations. Zbl 1310.76119Mishra, Siddhartha; Tadmor, Eitan 2 2012 Accurate numerical schemes for approximating initial-boundary value problems for systems of conservation laws. Zbl 1316.65078Mishra, Siddhartha; Spinolo, Laura V. 2 2015 Numerical approximation of statistical solutions of planar, incompressible flows. Zbl 1416.76184Leonardi, Filippo; Mishra, Siddhartha; Schwab, Christoph 2 2016 Efficient preconditioners for a shock capturing space-time discontinuous Galerkin method for systems of conservation laws. Zbl 1373.76090Hiltebrand, Andreas; Mishra, Siddhartha 2 2015 Entropy-stable space-time DG schemes for non-conservative hyperbolic systems. Zbl 1405.65121Hiltebrand, Andreas; Mishra, Siddhartha 2 2018 Vorticity preserving schemes using potential-based fluxes for the system wave equation. Zbl 1407.76022Mishra, Siddhartha; Tadmor, Eitan 1 2009 Semi-Godunov schemes for general triangular systems of conservation laws. Zbl 1133.76033Karlsen, Kenneth Hvistendahl; Mishra, Siddhartha; Risebro, Nils Henrik 1 2008 Entropy stability and well-balancedness of space-time DG for the shallow water equations with bottom topography. Zbl 1431.76032Hiltebrand, Andreas; Mishra, Siddhartha 1 2016 A multi-level procedure for enhancing accuracy of machine learning algorithms. Zbl 1482.65149Lye, Kjetil O.; Mishra, Siddhartha; Molinaro, Roberto 1 2021 Finite volume methods for wave propagation in stratified magneto-atmospheres. Zbl 1364.76114Fuchs, Franz Georg; Mcmurry, Andrew D.; Mishra, Siddhartha; Risebro, Nils Henrik; Waagan, Knut 1 2010 Efficient computation of all speed flows using an entropy stable shock-capturing space-time discontinuous Galerkin method. Zbl 1398.65251Hiltebrand, Andreas; Mishra, Siddhartha 1 2018 Enhancing accuracy of deep learning algorithms by training with low-discrepancy sequences. Zbl 07372628Mishra, Siddhartha; Rusch, T. Konstantin 3 2021 Iterative surrogate model optimization (ISMO): an active learning algorithm for PDE constrained optimization with deep neural networks. Zbl 07338021Lye, Kjetil O.; Mishra, Siddhartha; Ray, Deep; Chandrashekar, Praveen 3 2021 A multi-level procedure for enhancing accuracy of machine learning algorithms. Zbl 1482.65149Lye, Kjetil O.; Mishra, Siddhartha; Molinaro, Roberto 1 2021 Deep learning observables in computational fluid dynamics. Zbl 1436.76051Lye, Kjetil O.; Mishra, Siddhartha; Ray, Deep 14 2020 Statistical solutions of hyperbolic systems of conservation laws: numerical approximation. Zbl 1436.65121Fjordholm, U. S.; Lye, K.; Mishra, S.; Weber, F. 9 2020 On the convergence of the spectral viscosity method for the two-dimensional incompressible Euler equations with rough initial data. Zbl 1454.65125Lanthaler, Samuel; Mishra, Siddhartha 3 2020 A machine learning framework for data driven acceleration of computations of differential equations. Zbl 1435.68279Mishra, Siddhartha 8 2019 Numerical approximation of statistical solutions of scalar conservation laws. Zbl 1404.65113Fjordholm, U. S.; Lye, K.; Mishra, Siddhartha 6 2018 Entropy-stable space-time DG schemes for non-conservative hyperbolic systems. Zbl 1405.65121Hiltebrand, Andreas; Mishra, Siddhartha 2 2018 Efficient computation of all speed flows using an entropy stable shock-capturing space-time discontinuous Galerkin method. Zbl 1398.65251Hiltebrand, Andreas; Mishra, Siddhartha 1 2018 Construction of approximate entropy measure-valued solutions for hyperbolic systems of conservation laws. Zbl 1371.65080Fjordholm, Ulrik S.; Käppeli, Roger; Mishra, Siddhartha; Tadmor, Eitan 40 2017 Uncertainty qualification for hyperbolic systems of conservation laws. Zbl 1368.65205Abgrall, R.; Mishra, S. 16 2017 Statistical solutions of hyperbolic conservation laws: foundations. Zbl 1373.35193Fjordholm, U. S.; Lanthaler, S.; Mishra, S. 12 2017 Schemes with well-controlled dissipation. hyperbolic systems in nonconservative form. Zbl 1373.76155Beljadid, Abdelaziz; Lefloch, Philippe G.; Mishra, Siddhartha; Parés, Carlos 8 2017 Numerical methods for conservation laws with discontinuous coefficients. Zbl 1368.65156Mishra, S. 4 2017 Monte-Carlo finite-volume methods in uncertainty quantification for hyperbolic conservation laws. Zbl 1407.65150Mishra, Siddhartha; Schwab, Christoph 3 2017 On the computation of measure-valued solutions. Zbl 1382.76001Fjordholm, Ulrik S.; Mishra, Siddhartha; Tadmor, Eitan 29 2016 Entropy stable scheme on two-dimensional unstructured grids for Euler equations. Zbl 1373.76143Ray, Deep; Chandrashekar, Praveen; Fjordholm, Ulrik S.; Mishra, Siddhartha 21 2016 Numerical solution of scalar conservation laws with random flux functions. Zbl 1343.65007Mishra, Siddhartha; Risebro, Nils Henrik; Schwab, Christoph; Tokareva, Svetlana 16 2016 Multi-level Monte Carlo finite volume methods for uncertainty quantification of acoustic wave propagation in random heterogeneous layered medium. Zbl 1351.76117Mishra, S.; Schwab, Ch.; Šukys, J. 12 2016 On a model for the evolution of morphogens in a growing tissue. Zbl 1381.35186Coclite, Giuseppe Maria; Coclite, Mario Michele; Mishra, S. 11 2016 Numerical approximation of statistical solutions of planar, incompressible flows. Zbl 1416.76184Leonardi, Filippo; Mishra, Siddhartha; Schwab, Christoph 2 2016 Entropy stability and well-balancedness of space-time DG for the shallow water equations with bottom topography. Zbl 1431.76032Hiltebrand, Andreas; Mishra, Siddhartha 1 2016 Computation of measure-valued solutions for the incompressible Euler equations. Zbl 1404.76186Lanthaler, Samuel; Mishra, Siddharta 7 2015 Schemes with well-controlled dissipation. Zbl 1318.65049Ernest, Jan; LeFloch, Philippe G.; Mishra, Siddhartha 3 2015 Accurate numerical schemes for approximating initial-boundary value problems for systems of conservation laws. Zbl 1316.65078Mishra, Siddhartha; Spinolo, Laura V. 2 2015 Efficient preconditioners for a shock capturing space-time discontinuous Galerkin method for systems of conservation laws. Zbl 1373.76090Hiltebrand, Andreas; Mishra, Siddhartha 2 2015 Well-balanced schemes for the Euler equations with gravitation. Zbl 1349.76345Käppeli, R.; Mishra, S. 47 2014 Entropy stable shock capturing space-time discontinuous Galerkin schemes for systems of conservation laws. Zbl 1303.65083Hiltebrand, Andreas; Mishra, Siddhartha 33 2014 Numerical methods with controlled dissipation for small-scale dependent shocks. Zbl 1398.65211LeFloch, Philippe G.; Mishra, Siddhartha 15 2014 Analysis and numerical approximation of Brinkman regularization of two-phase flows in porous media. Zbl 1392.76075Coclite, G. M.; Mishra, S.; Risebro, N. H.; Weber, F. 6 2014 High order SFV and mixed SDG/FV methods for the uncertainty quantification in multidimensional conservation laws. Zbl 1421.76164Tokareva, Svetlana; Schwab, Christoph; Mishra, Siddhartha 4 2014 ENO reconstruction and ENO interpolation are stable. Zbl 1273.65120Fjordholm, Ulrik S.; Mishra, Siddhartha; Tadmor, Eitan 24 2013 Uncertainty quantification in computational fluid dynamics. Zbl 1276.76005 16 2013 Convergence of vanishing capillarity approximations for scalar conservation laws with discontinuous fluxes. Zbl 1284.35276Coclite, Giuseppe Maria; Di Ruvo, Lorenzo; Ernest, Jan; Mishra, Siddhartha 16 2013 Multi-level Monte Carlo finite volume methods for uncertainty quantification in nonlinear systems of balance laws. Zbl 1276.76066Mishra, Siddhartha; Schwab, Christoph; Šukys, Jonas 14 2013 Entropy conservative and entropy stable schemes for nonconservative hyperbolic systems. Zbl 1317.65167Castro, Manuel J.; Fjordholm, Ulrik S.; Mishra, Siddhartha; Parés, Carlos 10 2013 Multi-level Monte Carlo finite difference and finite volume methods for stochastic linear hyperbolic systems. Zbl 1302.65032Šukys, Jonas; Mishra, Siddhartha; Schwab, Christoph 5 2013 Arbitrarily high-order accurate entropy stable essentially nonoscillatory schemes for systems of conservation laws. Zbl 1252.65150Fjordholm, Ulrik S.; Mishra, Siddhartha; Tadmor, Eitan 111 2012 Sparse tensor multi-level Monte Carlo finite volume methods for hyperbolic conservation laws with random initial data. Zbl 1271.65018Mishra, Siddhartha; Schwab, Christoph 52 2012 Multi-level Monte Carlo finite volume methods for nonlinear systems of conservation laws in multi-dimensions. Zbl 1402.76083Mishra, S.; Schwab, Ch.; Šukys, J. 45 2012 Multilevel Monte Carlo finite volume methods for shallow water equations with uncertain topography in multi-dimensions. Zbl 1263.76045Mishra, S.; Schwab, Ch.; Šukys, J. 14 2012 Entropy stable numerical schemes for two-fluid plasma equations. Zbl 1311.76150Kumar, Harish; Mishra, Siddhartha 14 2012 Higher-order finite difference schemes for the magnetic induction equations with resistivity. Zbl 1252.78033Koley, U.; Mishra, S.; Risebro, N. H.; Svärd, M. 11 2012 Accurate numerical discretizations of non-conservative hyperbolic systems. Zbl 1272.65064Fjordholm, Ulrik Skre; Mishra, Siddhartha 9 2012 Entropy stable schemes for initial-boundary-value conservation laws. Zbl 1263.65083Svärd, Magnus; Mishra, Siddhartha 9 2012 Entropy stable ENO scheme. Zbl 1284.65117Fjordholm, Ulrik S.; Mishra, Siddhartha; Tadmor, Eitan 5 2012 A hyperbolic-elliptic model of two-phase flow in porous media-existence of entropy solutions. Zbl 1277.76100Coclite, G. M.; Karlsen, K. H.; Mishra, S.; Risebro, N. H. 5 2012 Constraint preserving schemes using potential-based fluxes. III: Genuinely multi-dimensional schemes for MHD equations. Zbl 1310.76119Mishra, Siddhartha; Tadmor, Eitan 2 2012 Well-balanced and energy stable schemes for the shallow water equations with discontinuous topography. Zbl 1452.35149Fjordholm, Ulrik S.; Mishra, Siddhartha; Tadmor, Eitan 54 2011 Approximate Riemann solvers and robust high-order finite volume schemes for multi-dimensional ideal MHD equations. Zbl 1364.76113Fuchs, Franz Georg; McMurry, Andrew D.; Mishra, Siddhartha; Risebro, Nils Henrik; Waagan, Knut 13 2011 Constraint preserving schemes using potential-based fluxes. II: Genuinely multidimensional systems of conservation laws. Zbl 1231.65143Mishra, Siddhartha; Tadmor, Eitan 6 2011 Implicit-explicit schemes for flow equations with stiff source terms. Zbl 1270.76048Svärd, Magnus; Mishra, Siddhartha 4 2011 Vorticity preserving finite volume schemes for the shallow water equations. Zbl 1368.76039Fjordholm, Ulrik S.; Mishra, Siddhartha 3 2011 Constraint preserving schemes using potential-based fluxes I. multidimensional transport equations. Zbl 1364.65168Mishra, Siddhartha; Tadmor, Eitan 3 2011 On stability of numerical schemes via frozen coefficients and the magnetic induction equations. Zbl 1205.65248Mishra, Siddhartha; Svärd, Magnus 18 2010 On the upstream mobility scheme for two-phase flow in porous media. Zbl 1398.76220Mishra, Siddhartha; Jaffré, Jérôme 10 2010 Convergence of an Engquist-Osher scheme for a multi-dimensional triangular system of conservation laws. Zbl 1369.65108Coclite, G. M.; Mishra, S.; Risebro, N. H. 9 2010 High-order well-balanced finite volume schemes for simulating wave propagation in stratified magnetic atmospheres. Zbl 1190.76153Fuchs, F. G.; McMurry, A. D.; Mishra, S.; Risebro, N. H.; Waagan, K. 8 2010 Finite volume methods for wave propagation in stratified magneto-atmospheres. Zbl 1364.76114Fuchs, Franz Georg; Mcmurry, Andrew D.; Mishra, Siddhartha; Risebro, Nils Henrik; Waagan, Knut 1 2010 Energy preserving and energy stable schemes for the shallow water equations. Zbl 1381.76236Fjordholm, Ulrik S.; Mishra, Siddhartha; Tadmor, Eitan 17 2009 Stable upwind schemes for the magnetic induction equation. Zbl 1177.78057Fuchs, Franz G.; Karlsen, Kenneth H.; Mishra, Siddharta; Risebro, Nils H. 15 2009 Splitting based finite volume schemes for ideal MHD equations. Zbl 1259.76021Fuchs, F. G.; Mishra, S.; Risebro, N. H. 11 2009 Convergence of finite volume schemes for triangular systems of conservation laws. Zbl 1190.65133Karlsen, Kenneth Hvistendahl; Mishra, Siddhartha; Risebro, Nils Henrik 11 2009 Higher order finite difference schemes for the magnetic induction equations. Zbl 1168.78317Koley, Ujjwal; Mishra, Siddhartha; Risebro, Nils Henrik; Svärd, Magnus 11 2009 Shock capturing artificial dissipation for high-order finite difference schemes. Zbl 1203.76104Svärd, Magnus; Mishra, Siddhartha 8 2009 Well-balanced schemes for conservation laws with source terms based on a local discontinuous flux formulation. Zbl 1198.35149Karlsen, Kenneth Hvistendahl; Mishra, Siddhartha; Risebro, Nils Henrik 6 2009 Convergence of vanishing viscosity approximations of \(2\times 2\) triangular systems of multi-dimensional conservation laws. Zbl 1178.35246Coclite, G. M.; Karlsen, K. H.; Mishra, S.; Risebro, N. H. 5 2009 Semi-Godunov schemes for multiphase flows in porous media. Zbl 1191.35022Karlsen, K. H.; Mishra, S.; Risebro, N. H. 5 2009 Kinetic functions in magnetohydrodynamics with resistivity and Hall effect. Zbl 1212.35301LeFloch, Philippe G.; Mishra, Siddhartha 3 2009 Vorticity preserving schemes using potential-based fluxes for the system wave equation. Zbl 1407.76022Mishra, Siddhartha; Tadmor, Eitan 1 2009 Semi-Godunov schemes for general triangular systems of conservation laws. Zbl 1133.76033Karlsen, Kenneth Hvistendahl; Mishra, Siddhartha; Risebro, Nils Henrik 1 2008 Existence and stability of entropy solutions for a conservation law with discontinuous non-convex fluxes. Zbl 1142.35508Adimurthi; Mishra, Siddhartha; Gowda, G. D. Veerappa 15 2007 Convergence of Godunov type methods for a conservation law with a spatially varying discontinuous flux function. Zbl 1116.35084Adimurthi; Mishra, Siddhartha; Gowda, G. D. Veerappa 12 2007 Conservation law with the flux function discontinuous in the space variable. II: Convex-concave type fluxes and generalized entropy solutions. Zbl 1131.65071Adimurthi; Mishra, Siddhartha; Veerappa Gowda, G. D. 9 2007 Explicit Hopf-Lax type formulas for Hamilton-Jacobi equations and conservation laws with discontinuous coefficients. Zbl 1128.35067Adimurthi; Mishra, Siddhartha; Gowda, G. D. Veerappa 5 2007 Optimal entropy solutions for conservation laws with discontinuous flux-functions. Zbl 1093.35045Adimurthi; Mishra, Siddhartha; Veerappa Gowda, G. D. 73 2005 Convergence of upwind finite difference schemes for a scalar conservation law with indefinite discontinuities in the flux function. Zbl 1096.35085Mishra, Siddhartha 23 2005 On conservation laws with discontinuous flux. Zbl 1076.76069Bürger, Raimund; Karlsen, Kenneth H.; Mishra, Siddharta; Towers, John D. 5 2005 all cited Publications top 5 cited Publications all top 5 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 all top 5 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 all top 5 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) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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