Siddhartha Mishra

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Visiting address Moltke Moes vei 35 Niels Henrik Abels hus 0851 Oslo
Postal address Postboks 1053 Blindern 0316 Oslo
Tags: Partial Differential Equations, Mathematics

Publications

  • Hiltebrand, Andreas & Mishra, Siddhartha (2018). Efficient computation of all speed flows using an entropy stable shock-capturing space-time discontinuous Galerkin method, Non-linear Partial Differential Equations, Mathematical Physics, and Stochastic Analysis: The Helge Holden Anniversary Volume. European Mathematical Society (EMS) Publishing House. ISSN 978-3-03719-186-6. p. 287–318. doi: 10.4171/186-1/13.
  • Hiltebrand, Andreas; Mishra, Siddhartha & Parés, Carlos (2018). Entropy-stable space-time DG schemes for non-conservative hyperbolic systems. Mathematical Modelling and Numerical Analysis. ISSN 0764-583X. 52(3), p. 995–1022. doi: 10.1051/m2an/2017056. Full text in Research Archive
  • Fjordholm, Ulrik Skre; Lye, Kjetil & Mishra, Siddhartha (2018). Numerical Approximation of Statistical Solutions of Scalar Conservation Laws. SIAM Journal on Numerical Analysis. ISSN 0036-1429. 56(5), p. 2989–3009. doi: 10.1137/17M1154874. Full text in Research Archive
  • Fjordholm, Ulrik Skre; Lanthaler, Samuel & Mishra, Siddhartha (2017). Statistical solutions of hyperbolic conservation laws I: Foundations. Archive for Rational Mechanics and Analysis. ISSN 0003-9527. 226(2), p. 809–849. doi: 10.1007/s00205-017-1145-9.
  • Mishra, Siddhartha; Risebro, Nils Henrik; Schwab, Christoph & Tokareva, Svetlana (2016). Numerical solution of scalar conservation laws with random flux functions. SIAM/ASA Journal on Uncertainty Quantification (JUQ). ISSN 2166-2525. 4(1), p. 552–591. doi: 10.1137/120896967.
  • Fjordholm, Ulrik Skre; Mishra, Siddhartha & Tadmor, Eitan (2016). On the computation of measure-valued solutions. Acta Numerica. ISSN 0962-4929. 25, p. 567–679. doi: 10.1017/S0962492916000088.
  • Ray, Deep; Chandrashekar, Praveen; Fjordholm, Ulrik Skre & Mishra, Siddhartha (2016). Entropy Stable Scheme on Two-Dimensional Unstructured Grids for Euler Equations. Communications in Computational Physics. ISSN 1815-2406. 19(5), p. 1111–1140. doi: 10.4208/cicp.scpde14.43s.
  • Lanthaler, Samuel & Mishra, Siddhartha (2015). Computation of measure-valued solutions for the incompressible Euler equations. Mathematical Models and Methods in Applied Sciences. ISSN 0218-2025. 25(11), p. 2043–2088. doi: 10.1142/S0218202515500529.
  • Mishra, Siddhartha & Spinolo, Laura V (2015). Accurate numerical schemes for approximating initial-boundary value problems for systems of conservation laws. Journal of Hyperbolic Differential Equations. ISSN 0219-8916. 12(1), p. 61–86. doi: 10.1142/S0219891615500034.
  • Hiltebrand, Andreas & Mishra, Siddhartha (2015). Efficient preconditioners for a shock capturing space-time discontinuous galerkin method for systems of conservation laws. Communications in Computational Physics. ISSN 1815-2406. 17(5), p. 1320–1359. doi: 10.4208/cicp.140214.271114a.
  • Coclite, Giuseppe Maria; Mishra, Siddhartha; Risebro, Nils Henrik & Weber, Franziska Leonie (2014). Analysis and numerical approximation of Brinkman regularization of two-phase flows in porous media. Computational Geosciences. ISSN 1420-0597. 18(5), p. 637–659. doi: 10.1007/s10596-014-9410-6.
  • Averbukh, Inna; Ben-Zvi, Danny; Mishra, Siddhartha & Barkai, Naama (2014). Scaling morphogen gradients during tissue growth by a cell division rule. Development. ISSN 0950-1991. 141(10), p. 2150–2156. doi: 10.1242/dev.107011.
  • Hiltebrand, Andreas & Mishra, Siddhartha (2014). Entropy stable shock capturing space-time discontinuous Galerkin schemes for systems of conservation laws. Numerische Mathematik. ISSN 0029-599X. 126(1), p. 103–151. doi: 10.1007/s00211-013-0558-0.
  • Fuchs, Franz Georg; McMurry, Andrew David; Risebro, Nils Henrik & Mishra, Siddhartha (2014). Explicit and implicit finite volume schemes for radiation MHD and the effects of radiation on wave propagation in stratified atmospheres. In Ancona, Fabio; Bressan, Alberto; Marcati, Pierangelo & Marson, Andrea (Ed.), Hyperbolic Problems: Theory, Numerics, Applications. Proceedings of the Fourteenth International Conference on Hyperbolic Problems held in Padova, June 25-29, 2012. American Institute of Mathematical Sciences (AIMS) Press. ISSN 978-1-60133-017-8. p. 41–59.
  • Koley, Ujjwal; Mishra, Siddhartha; Risebro, Nils Henrik & Svärd, Magnus (2012). Higher-order finite difference schemes for the magnetic induction equations with resistivity. IMA Journal of Numerical Analysis. ISSN 0272-4979. 32(3), p. 1173–1193. doi: 10.1093/imanum/drq030.
  • Mishra, Siddhartha & Tadmor, Eitan (2012). Constraint preserving schemes using potential-based fluxes. III. Genuinely multi-dimensional schemes for MHD equations. Mathematical Modelling and Numerical Analysis. ISSN 0764-583X. 46(3), p. 661–680. doi: 10.1051/m2an/2011059.
  • Mishra, Siddhartha; Schwab, Ch & Sukys, Jonas (2012). MULTILEVEL MONTE CARLO FINITE VOLUME METHODS FOR SHALLOW WATER EQUATIONS WITH UNCERTAIN TOPOGRAPHY IN MULTI-DIMENSIONS. SIAM Journal on Scientific Computing. ISSN 1064-8275. 34(6), p. B761–B784. doi: 10.1137/110857295.
  • Mishra, Siddhartha & Cori, Paolo (2012). Stable finite difference schemes for the magnetic induction equations with Hall effect. BIT Numerical Mathematics. ISSN 0006-3835. 52(4), p. 905–932. doi: 10.1007/s10543-012-0383-3.
  • Mishra, Siddhartha & Schwab, Christoph (2012). Sparse tensor product Multi-level Monte Carlo finite volume methods for hyperbolic conservation laws with random initial data. Mathematics of Computation. ISSN 0025-5718. 81(280), p. 1979–2018.
  • Mishra, Siddhartha & Kumar, Harish (2012). Entropy stable numerical schemes for two-fluid plasma equations. Journal of Scientific Computing. ISSN 0885-7474. 52(2), p. 401–425. doi: 10.1007/s10915-011-9554-7.
  • Mishra, Siddhartha; Schwab, Christoph & Sukys, Jonas (2012). Multi-level Monte Carlo methods finite volume methods for systems of conservation laws in multi-dimensions. Journal of Computational Physics. ISSN 0021-9991. 231(8), p. 3365–3388.
  • Mishra, Siddhartha; Fjordholm, Ulrik & Tadmor, Eitan (2012). Arbitrarily high-order accurate entropy stable essentially nonoscillatory schemes for systems of conservation laws. SIAM Journal on Numerical Analysis. ISSN 0036-1429. 50(2), p. 544–573. doi: 10.1137/110836961.
  • Fjordholm, Ulrik; Mishra, Siddhartha & Tadmor, Eitan (2011). Energy preserving and energy stable schemes for shallow water equations with bottom topography. Journal of Computational Physics. ISSN 0021-9991. 230, p. 5587–5609. doi: 10.1016/j.jcp.2011.03.042.
  • Fjordholm, Ulrik & Mishra, Siddhartha (2011). Vorticity preserving schemes for the shallow-water equations. SIAM Journal on Scientific Computing. ISSN 1064-8275. 33(2), p. 588–611. doi: 10.1137/090775956.
  • Mishra, Siddhartha & Tadmor, Eitan (2011). Constraint preserving schemes using potential based fluxes- II: Genuinely multi-dimensional schemes for systems of conservation laws. SIAM Journal on Numerical Analysis. ISSN 0036-1429. 49(3), p. 1023–1045. doi: 10.1137/090770138.
  • Mishra, Siddhartha & Tadmor, Eitan (2011). Constraint Preserving Schemes Using Potential-Based Fluxes I. Multidimensional Transport Equations. Communications in Computational Physics. ISSN 1815-2406. 9(3), p. 688–710. doi: 10.4208/cicp.030909.091109s.
  • Fuchs, Franz Georg; McMurry, Andrew David; Mishra, Siddhartha & Waagan, Knut (2011). Simulating waves in the upper solar atmosphere with Surya: a well-balanced high-order finite-volume code. The Astrophysical Journal (ApJ). ISSN 0004-637X. 732(2). doi: 10.1088/0004-637X/732/2/75.
  • Svärd, Magnus & Mishra, Siddhartha (2011). Implicit-explicit schemes for flow equations with stiff source terms. Journal of Computational and Applied Mathematics. ISSN 0377-0427. 235(6), p. 1564–1577. doi: 10.1016/j.cam.2010.08.015.
  • Fuchs, Franz Georg; McMurry, Andrew David; Mishra, Siddhartha; Risebro, Nils Henrik & Waagan, Knut (2011). Approximate Riemann Solvers and Robust High-Order Finite Volume Schemes for Multi-Dimensional Ideal MHD Equations. Communications in Computational Physics. ISSN 1815-2406. 9(2), p. 324–362. doi: 10.4208/cicp.171109.070510a.
  • Mishra, Siddhartha & Jaffre, J (2010). On the upstream mobility scheme for two-phase flow in porous media. Computational Geosciences. ISSN 1420-0597. 14(1), p. 105–124. doi: 10.1007/s10596-009-9135-0.
  • Mishra, Siddhartha & Svärd, Magnus (2010). On stability of numerical schemes via frozen coefficients and the magnetic induction equations. BIT Numerical Mathematics. ISSN 0006-3835. 50(1), p. 85–108. doi: 10.1007/s10543-010-0249-5.
  • Fuchs, Franz Georg; McMurry, Andrew David; Mishra, Siddhartha; Risebro, Nils Henrik & Waagan, Knut (2010). Finite Volume Methods for Wave Propagation in Stratified Magneto-Atmospheres. Communications in Computational Physics. ISSN 1815-2406. 7(3), p. 403–638. doi: 10.4208/cicp.2009.08.154.
  • Coclite, Giuseppe Maria; Mishra, Siddhartha & Risebro, Nils Henrik (2010). CONVERGENCE OF AN ENGQUIST-OSHER SCHEME FOR A MULTI-DIMENSIONAL TRIANGULAR SYSTEM OF CONSERVATION LAWS. Mathematics of Computation. ISSN 0025-5718. 79(269), p. 71–94. doi: 10.1090/S0025-5718-09-02251-0.
  • Fuchs, Franz Georg; McMurry, Andrew David; Mishra, Siddhartha; Risebro, Nils Henrik & Waagan, Knut (2010). High order well-balanced finite volume schemes for simulating wave propagation in stratified magnetic atmospheres. Journal of Computational Physics. ISSN 0021-9991. 229(11), p. 4033–4058. doi: 10.1016/j.jcp.2010.01.038.
  • Fuchs, Franz Georg; McMurry, Andrew David & Mishra, Siddhartha (2009). High-order finite volume schemes for wave propagation in stratified atmospheres. In Tadmor, Eitan; Liu, Jian-Guo & Tzavaras, Athanasios E. (Ed.), Hyperbolic Problems: Theory, Numerics and Applications. American Mathematical Society (AMS). ISSN 978-0-8218-4728-2. p. 575–584.
  • Mishra, Siddhartha & Tadmor, Eitan (2009). Vorticity Preserving Schemes Using Potential-Based Fluxes for the System Wave Equation. In Tadmor, Eitan; Liu, Jian-Guo & Tzavaras, Athanasios E. (Ed.), Hyperbolic Problems: Theory, Numerics and Applications. American Mathematical Society (AMS). ISSN 978-0-8218-4728-2. p. 795–804.
  • Fuchs, Franz Georg; Mishra, Siddhartha & Risebro, Nils Henrik (2009). Splitting based finite volume schemes for ideal MHD equations. Journal of Computational Physics. ISSN 0021-9991. 228(3), p. 641–660. doi: 10.1016/j.jcp.2008.09.027.
  • Karlsen, Kenneth Hvistendahl; Mishra, Siddhartha & Risebro, Nils Henrik (2009). WELL-BALANCED SCHEMES FOR CONSERVATION LAWS WITH SOURCE TERMS BASED ON A LOCAL DISCONTINUOUS FLUX FORMULATION. Mathematics of Computation. ISSN 0025-5718. 78(265), p. 55–78.
  • Karlsen, Kenneth Hvistendahl; Mishra, Siddhartha & Risebro, Nils Henrik (2009). Convergence of finite volume schemes for triangular systems of conservation laws. Numerische Mathematik. ISSN 0029-599X. 111(4), p. 559–589. doi: 10.1007/s00211-008-0199-x.
  • Svärd, Magnus & Mishra, Siddhartha (2009). Shock Capturing Artificial Dissipation for High-Order Finite Difference Schemes. Journal of Scientific Computing. ISSN 0885-7474. 39(3), p. 454–484. doi: 10.1007/s10915-009-9285-1.
  • Koley, Ujjwal; Mishra, Siddhartha; Risebro, Nils Henrik & Svärd, Magnus (2009). Higher order finite difference schemes for the magnetic induction equations. BIT Numerical Mathematics. ISSN 0006-3835. 49(2), p. 375–395. doi: 10.1007/s10543-009-0219-y.
  • Karlsen, Kenneth Hvistendahl; Mishra, Siddhartha & Risebro, Nils Henrik (2009). Semi-Godunov schemes for multiphase flows in porous media. Applied Numerical Mathematics. ISSN 0168-9274. 59(9), p. 2322–2336. doi: 10.1016/j.apnum.2008.12.019.
  • Karlsen, Kenneth Hvistendahl; Fuchs, Franz Georg; Mishra, Siddhartha & Risebro, Nils Henrik (2009). Stable upwind schemes for the magnetic induction equation. Mathematical Modelling and Numerical Analysis. ISSN 0764-583X. 43(5), p. 825–852. doi: 10.1051/m2an/2009006.
  • Karlsen, Kenneth Hvistendahl; Mishra, Siddhartha & Risebro, Nils Henrik (2008). A large-time-stepping scheme for balance equations. Journal of Engineering Mathematics. ISSN 0022-0833. 60, p. 351–363. doi: 10.1007/s10665-007-9164-4.
  • Karlsen, Kenneth Hvistendahl; Mishra, Siddhartha & Risebro, Nils Henrik (2008). Semi-Godunov schemes for general triangular systems of conservation laws. Journal of Engineering Mathematics. ISSN 0022-0833. 60. doi: 10.1007/s10665-007-9163-5.
  • Adimurthi, Prof; Mishra, Siddhartha & Gowda, GDV (2007). Convergence of Godunov type methods for a conservation law with a spatially varying discontinuous flux function. Mathematics of Computation. ISSN 0025-5718. 76(259), p. 1219–1242.
  • Adimurthi, Prof; Mishra, Siddhartha & Gowda, GDV (2007). Existence and stability of entropy solutions for a conservation law with discontinuous non-convex fluxes. Networks and Heterogeneous Media. ISSN 1556-1801. 2.
  • Adimurthi, A; Mishra, Siddhartha & Gowda, G.D. Veerappa (2007). Conservation laws with the flux function discontinuous in the space variable- II: Concave-convex fluxes and generalized entropy solutions. Journal of Computational and Applied Mathematics. ISSN 0377-0427. 203(2), p. 310–344.
  • Adimurthi, A; Mishra, Siddhartha & Gowda, G.D. Veerappa (2007). Explicit Hopf-Lax formulas for Hamilton-Jacobi equations and conservation laws with discontinuous coefficients. Journal of Differential Equations. ISSN 0022-0396. 241(1), p. 1–31.
  • Burger, R; Karlsen, Kenneth Hvistendahl; Mishra, Siddhartha & Towers, J. D. (2005). On conservation laws with discontinuous flux. In Wang, Y. & Hutter, K. (Ed.), Trends in Applications of Mathematics to Mechanics. Shaker Verlag. ISSN 3-8322-3600-7. p. 75–84.
  • Mishra, Siddhartha (2005). Convergence of upwind finite difference schemes for a scalar conservation law with indefinite discontinuities in the flux function. SIAM Journal on Numerical Analysis. ISSN 0036-1429. 43(2), p. 559–577.
  • Mishra, Siddhartha (2005). Optimal entropy solutions for conservation laws with discontinuous flux function. Journal of Hyperbolic Differential Equations. ISSN 0219-8916. 2(4), p. 1–56.

View all works in Cristin

  • Aursand, Peder; Koley, Ujjwal & Mishra, Siddhartha (2013). Higher Order Energy Preserving Schemes for a Nonlinear Variational Wave Equation.
  • McMurry, Andrew David; Mishra, Siddhartha & Fuchs, Franz Georg (2012). Semi-implicit solutions to Radiation-magnetohydrodynamics.
  • Fuchs, Franz Georg; McMurry, Andrew David & Mishra, Siddhartha (2008). High-order finite volume schemes for wave propagation in stratified atmospheres.
  • Mishra, Siddhartha (2008). Explicit-implicit schemes for conservation laws with stiff source terms.
  • Mishra, Siddhartha (2006). Semi-Godunov schemes for a reduced three phase flow model.
  • Mishra, Siddhartha (2006). Well Balanced Schemes for conservation laws with source terms.
  • Mishra, Siddhartha (2006). Entropy stable schemes for systems of conservation laws.

View all works in Cristin

Published Feb. 4, 2014 2:55 PM - Last modified Oct. 5, 2016 11:29 AM

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