Siddhartha Mishra
Associate Professor
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Differential Equations and Computational Mathematics
Norwegian version of this page
Username
Visiting address
Moltke Moes vei 35
Niels Henrik Abels hus
0851 Oslo
Postal address
Postboks 1053 Blindern
0316 Oslo
Publications
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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) Press. ISSN 978-3-03719-186-6. p. 287–318. doi: 10.4171/186-1/13.
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Hiltebrand, Andreas; Mishra, Siddhartha & Parés, Carlos (2018). Entropy-stable space-time DG schemes for non-conservative hyperbolic systems. Modélisation mathématique et analyse numérique. ISSN 0764-583X. 52(3), p. 995–1022. doi: 10.1051/m2an/2017056. Full text in Research Archive
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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
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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. Show summary
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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.
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Mishra, Siddhartha & Tadmor, Eitan (2012). Constraint preserving schemes using potential-based fluxes. III. Genuinely multi-dimensional schemes for MHD equations. Modélisation mathématique et analyse numérique. ISSN 0764-583X. 46(3), p. 661–680. doi: 10.1051/m2an/2011059.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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. Show summary
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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. Show summary
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Karlsen, Kenneth Hvistendahl; Fuchs, Franz Georg; Mishra, Siddhartha & Risebro, Nils Henrik (2009). Stable upwind schemes for the magnetic induction equation. Modélisation mathématique et analyse numérique. ISSN 0764-583X. 43(5), p. 825–852. doi: 10.1051/m2an/2009006.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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Aursand, Peder; Koley, Ujjwal & Mishra, Siddhartha (2013). Higher Order Energy Preserving Schemes for a Nonlinear Variational Wave Equation.
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McMurry, Andrew David; Mishra, Siddhartha & Fuchs, Franz Georg (2012). Semi-implicit solutions to Radiation-magnetohydrodynamics.
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Fuchs, Franz Georg; McMurry, Andrew David & Mishra, Siddhartha (2008). High-order finite volume schemes for wave propagation in stratified atmospheres.
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Mishra, Siddhartha (2008). Explicit-implicit schemes for conservation laws with stiff source terms.
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Mishra, Siddhartha (2006). Semi-Godunov schemes for a reduced three phase flow model.
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Mishra, Siddhartha (2006). Well Balanced Schemes for conservation laws with source terms.
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Mishra, Siddhartha (2006). Entropy stable schemes for systems of conservation laws.
Published
Feb. 4, 2014 2:55 PM
- Last modified
Oct. 5, 2016 11:29 AM