2018
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1. |
Fjordholm, Ulrik Skre; Lye, Kjetil; Mishra, Siddhartha. Numerical Approximation of Statistical Solutions of Scalar Conservation Laws. SIAM Journal on Numerical Analysis 2018 ;Volume 56.(5) p. 2989-3009 UiO
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2. |
Hiltebrand, Andreas; Mishra, Siddhartha. Efficient computation of all speed flows using an entropy stable shock-capturing space-time discontinuous Galerkin method. I: Non-linear Partial Differential Equations, Mathematical Physics, and Stochastic Analysis: The Helge Holden Anniversary Volume. European Mathematical Society (EMS) Publishing House 2018 ISBN 978-3-03719-186-6. p. 287-318 UiO
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3. |
Hiltebrand, Andreas; Mishra, Siddhartha; Parés, Carlos. Entropy-stable space-time DG schemes for non-conservative hyperbolic systems. Mathematical Modelling and Numerical Analysis 2018 ;Volume 52.(3) p. 995-1022 UiO
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2017
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4. |
Fjordholm, Ulrik Skre; Lanthaler, Samuel; Mishra, Siddhartha. Statistical solutions of hyperbolic conservation laws I: Foundations. Archive for Rational Mechanics and Analysis 2017 ;Volume 226.(2) p. 809-849 NTNU
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2016
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5. |
Fjordholm, Ulrik Skre; Mishra, Siddhartha; Tadmor, Eitan. On the computation of measure-valued solutions. Acta Numerica 2016 ;Volume 25. p. 567-679 NTNU
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6. |
Mishra, Siddhartha; Risebro, Nils Henrik; Schwab, Christoph; Tokareva, Svetlana. Numerical solution of scalar conservation laws with random flux functions. SIAM/ASA Journal on Uncertainty Quantification (JUQ) 2016 ;Volume 4.(1) p. 552-591 UiO
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7. |
Ray, Deep; Chandrashekar, Praveen; Fjordholm, Ulrik Skre; Mishra, Siddhartha. Entropy Stable Scheme on Two-Dimensional Unstructured Grids for Euler Equations. Communications in Computational Physics 2016 ;Volume 19.(5) p. 1111-1140 NTNU UiO
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2015
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8. |
Hiltebrand, Andreas; Mishra, Siddhartha. Efficient preconditioners for a shock capturing space-time discontinuous galerkin method for systems of conservation laws. Communications in Computational Physics 2015 ;Volume 17.(5) p. 1320-1359 UiO
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9. |
Lanthaler, Samuel; Mishra, Siddhartha. Computation of measure-valued solutions for the incompressible Euler equations. Mathematical Models and Methods in Applied Sciences 2015 ;Volume 25.(11) p. 2043-2088 UiO
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10. |
Mishra, Siddhartha; Spinolo, Laura V. Accurate numerical schemes for approximating initial-boundary value problems for systems of conservation laws. Journal of Hyperbolic Differential Equations 2015 ;Volume 12.(1) p. 61-86 UiO
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2014
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11. |
Averbukh, Inna; Ben-Zvi, Danny; Mishra, Siddhartha; Barkai, Naama. Scaling morphogen gradients during tissue growth by a cell division rule. Development 2014 ;Volume 141.(10) p. 2150-2156 UiO
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12. |
Coclite, Giuseppe Maria; Mishra, Siddhartha; Risebro, Nils Henrik; Weber, Franziska Leonie. Analysis and numerical approximation of Brinkman regularization of two-phase flows in porous media. Computational Geosciences 2014 ;Volume 18.(5) p. 637-659 UiO
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13. |
Fuchs, Franz Georg; McMurry, Andrew David; Risebro, Nils Henrik; Mishra, Siddhartha. Explicit and implicit finite volume schemes for radiation MHD and the effects of radiation on wave propagation in stratified atmospheres. I: 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 2014 ISBN 978-1-60133-017-8. p. 41-59 SINTEF UiO
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14. |
Hiltebrand, Andreas; Mishra, Siddhartha. Entropy stable shock capturing space-time discontinuous Galerkin schemes for systems of conservation laws. Numerische Mathematik 2014 ;Volume 126.(1) p. 103-151 UiO
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2013
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15. |
Aursand, Peder; Koley, Ujjwal; Mishra, Siddhartha. Higher Order Energy Preserving Schemes for a Nonlinear Variational Wave Equation. SIAM Conference on Analysis of Partial Differential Equations; 2013-12-07 - 2013-12-10 NTNU UiO
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2012
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16. |
Koley, Ujjwal; Mishra, Siddhartha; Risebro, Nils Henrik; Svärd, Magnus. Higher-order finite difference schemes for the magnetic induction equations with resistivity. IMA Journal of Numerical Analysis 2012 ;Volume 32.(3) p. 1173-1193 UiO
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17. |
McMurry, Andrew David; Mishra, Siddhartha; Fuchs, Franz Georg. Semi-implicit solutions to Radiation-magnetohydrodynamics. Fourteenth International Conference devoted to Theory, Numerics and Applications of Hyperbolic Problems; 2012-06-25 - 2012-06-29 SINTEF UiO
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18. |
Mishra, Siddhartha; Cori, Paolo. Stable finite difference schemes for the magnetic induction equations with Hall effect. BIT Numerical Mathematics 2012 ;Volume 52.(4) p. 905-932
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19. |
Mishra, Siddhartha; Fjordholm, Ulrik; Tadmor, Eitan. Arbitrarily high-order accurate entropy stable essentially nonoscillatory schemes for systems of conservation laws. SIAM Journal on Numerical Analysis 2012 ;Volume 50.(2) p. 544-573
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20. |
Mishra, Siddhartha; Kumar, Harish. Entropy stable numerical schemes for two-fluid plasma equations. Journal of Scientific Computing 2012 ;Volume 52.(2) p. 401-425
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21. |
Mishra, Siddhartha; Schwab, Ch; Sukys, Jonas. MULTILEVEL MONTE CARLO FINITE VOLUME METHODS FOR SHALLOW WATER EQUATIONS WITH UNCERTAIN TOPOGRAPHY IN MULTI-DIMENSIONS. SIAM Journal on Scientific Computing 2012 ;Volume 34.(6) p. B761-B784 UiO
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22. |
Mishra, Siddhartha; Schwab, Christoph. Sparse tensor product Multi-level Monte Carlo finite volume methods for hyperbolic conservation laws with random initial data. Mathematics of Computation 2012 ;Volume 81.(280) p. 1979-2018
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23. |
Mishra, Siddhartha; Schwab, Christoph; Sukys, Jonas. Multi-level Monte Carlo methods finite volume methods for systems of conservation laws in multi-dimensions. Journal of Computational Physics 2012 ;Volume 231.(8) p. 3365-3388
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24. |
Mishra, Siddhartha; Tadmor, Eitan. Constraint preserving schemes using potential-based fluxes. III. Genuinely multi-dimensional schemes for MHD equations. Mathematical Modelling and Numerical Analysis 2012 ;Volume 46.(3) p. 661-680 UiO
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2011
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25. |
Fjordholm, Ulrik; Mishra, Siddhartha. Vorticity preserving schemes for the shallow-water equations. SIAM Journal on Scientific Computing 2011 ;Volume 33.(2) p. 588-611 UiO
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26. |
Fjordholm, Ulrik; Mishra, Siddhartha; Tadmor, Eitan. Energy preserving and energy stable schemes for shallow water equations with bottom topography. Journal of Computational Physics 2011 ;Volume 230. p. 5587-5609
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27. |
Fuchs, Franz Georg; McMurry, Andrew David; Mishra, Siddhartha; Risebro, Nils Henrik; Waagan, Knut. Approximate Riemann Solvers and Robust High-Order Finite Volume Schemes for Multi-Dimensional Ideal MHD Equations. Communications in Computational Physics 2011 ;Volume 9.(2) p. 324-362 UiO
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28. |
Fuchs, Franz Georg; McMurry, Andrew David; Mishra, Siddhartha; Waagan, Knut. Simulating waves in the upper solar atmosphere with Surya: a well-balanced high-order finite-volume code. The Astrophysical Journal (ApJ) 2011 ;Volume 732.(2) p. 75- UiO
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29. |
Mishra, Siddhartha; Tadmor, Eitan. Constraint preserving schemes using potential based fluxes- II: Genuinely multi-dimensional schemes for systems of conservation laws. SIAM Journal on Numerical Analysis 2011 ;Volume 49.(3) p. 1023-1045 UiO
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30. |
Mishra, Siddhartha; Tadmor, Eitan. Constraint Preserving Schemes Using Potential-Based Fluxes I. Multidimensional Transport Equations. Communications in Computational Physics 2011 ;Volume 9.(3) p. 688-710 UiO
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31. |
Svärd, Magnus; Mishra, Siddhartha. Implicit-explicit schemes for flow equations with stiff source terms. Journal of Computational and Applied Mathematics 2011 ;Volume 235.(6) p. 1564-1577 UiO
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2010
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32. |
Coclite, Giuseppe Maria; Mishra, Siddhartha; Risebro, Nils Henrik. CONVERGENCE OF AN ENGQUIST-OSHER SCHEME FOR A MULTI-DIMENSIONAL TRIANGULAR SYSTEM OF CONSERVATION LAWS. Mathematics of Computation 2010 ;Volume 79.(269) p. 71-94 UiO
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33. |
Fuchs, Franz Georg; McMurry, Andrew David; Mishra, Siddhartha; Risebro, Nils Henrik; Waagan, Knut. Finite Volume Methods for Wave Propagation in Stratified Magneto-Atmospheres. Communications in Computational Physics 2010 ;Volume 7.(3) p. 403-638 UiO
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34. |
Fuchs, Franz Georg; McMurry, Andrew David; Mishra, Siddhartha; Risebro, Nils Henrik; Waagan, Knut. High order well-balanced finite volume schemes for simulating wave propagation in stratified magnetic atmospheres. Journal of Computational Physics 2010 ;Volume 229.(11) p. 4033-4058 UiO
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35. |
Mishra, Siddhartha; Jaffre, J. On the upstream mobility scheme for two-phase flow in porous media. Computational Geosciences 2010 ;Volume 14.(1) p. 105-124 UiO
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36. |
Mishra, Siddhartha; Svärd, Magnus. On stability of numerical schemes via frozen coefficients and the magnetic induction equations. BIT Numerical Mathematics 2010 ;Volume 50.(1) p. 85-108 UiO
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2009
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37. |
Fuchs, Franz Georg; McMurry, Andrew David; Mishra, Siddhartha. High-order finite volume schemes for wave propagation in stratified atmospheres. I: Hyperbolic Problems: Theory, Numerics and Applications. American Mathematical Society (AMS) 2009 ISBN 978-0-8218-4728-2. p. 575-584 UiO
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38. |
Fuchs, Franz Georg; Mishra, Siddhartha; Risebro, Nils Henrik. Splitting based finite volume schemes for ideal MHD equations. Journal of Computational Physics 2009 ;Volume 228.(3) p. 641-660 UiO
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39. |
Karlsen, Kenneth Hvistendahl; Fuchs, Franz Georg; Mishra, Siddhartha; Risebro, Nils Henrik. Stable upwind schemes for the magnetic induction equation. Mathematical Modelling and Numerical Analysis 2009 ;Volume 43.(5) p. 825-852 UiO
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40. |
Karlsen, Kenneth Hvistendahl; Mishra, Siddhartha; Risebro, Nils Henrik. Convergence of finite volume schemes for triangular systems of conservation laws. Numerische Mathematik 2009 ;Volume 111.(4) p. 559-589 UiO
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41. |
Karlsen, Kenneth Hvistendahl; Mishra, Siddhartha; Risebro, Nils Henrik. Semi-Godunov schemes for multiphase flows in porous media. Applied Numerical Mathematics 2009 ;Volume 59.(9) p. 2322-2336 UiO
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42. |
Karlsen, Kenneth Hvistendahl; Mishra, Siddhartha; Risebro, Nils Henrik. WELL-BALANCED SCHEMES FOR CONSERVATION LAWS WITH SOURCE TERMS BASED ON A LOCAL DISCONTINUOUS FLUX FORMULATION. Mathematics of Computation 2009 ;Volume 78.(265) p. 55-78 UiO
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43. |
Koley, Ujjwal; Mishra, Siddhartha; Risebro, Nils Henrik; Svärd, Magnus. Higher order finite difference schemes for the magnetic induction equations. BIT Numerical Mathematics 2009 ;Volume 49.(2) p. 375-395 UiO SINTEF
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44. |
Mishra, Siddhartha; Tadmor, Eitan. Vorticity Preserving Schemes Using Potential-Based Fluxes for the System Wave Equation. I: Hyperbolic Problems: Theory, Numerics and Applications. American Mathematical Society (AMS) 2009 ISBN 978-0-8218-4728-2. p. 795-804 UiO
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45. |
Svärd, Magnus; Mishra, Siddhartha. Shock Capturing Artificial Dissipation for High-Order Finite Difference Schemes. Journal of Scientific Computing 2009 ;Volume 39.(3) p. 454-484 UiO
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2008
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46. |
Fuchs, Franz Georg; McMurry, Andrew David; Mishra, Siddhartha. High-order finite volume schemes for wave propagation in stratified atmospheres. Twelfth International Conference on Hyperbolic Problems; 2008-06-09 - 2008-06-12 UiO
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47. |
Karlsen, Kenneth Hvistendahl; Mishra, Siddhartha; Risebro, Nils Henrik. A large-time-stepping scheme for balance equations. Journal of Engineering Mathematics 2008 ;Volume 60. p. 351-363 UiO
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48. |
Karlsen, Kenneth Hvistendahl; Mishra, Siddhartha; Risebro, Nils Henrik. Semi-Godunov schemes for general triangular systems of conservation laws. Journal of Engineering Mathematics 2008 ;Volume 60. UiO
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49. |
Mishra, Siddhartha. Explicit-implicit schemes for conservation laws with stiff source terms. 12th conference on Hyperbolic Equations, Theory, Numerics and Applications,; 2008-06-12 - 2008-06-17 UiO
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2007
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50. |
Adimurthi, A; Mishra, Siddhartha; Gowda, G.D. Veerappa. 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 2007 ;Volume 203.(2) p. 310-344 UiO
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