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Ulrik Skre Fjordholm
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Arbitrarily high-order accurate entropy stable essentially nonoscillatory schemes for systems of conservation laws
US Fjordholm, S Mishra, E Tadmor
SIAM Journal on Numerical Analysis 50 (2), 544-573, 2012
2442012
Well-balanced and energy stable schemes for the shallow water equations with discontinuous topography
US Fjordholm, S Mishra, E Tadmor
Journal of Computational Physics 230 (14), 5587-5609, 2011
1472011
Construction of approximate entropy measure-valued solutions for hyperbolic systems of conservation laws
US Fjordholm, R Käppeli, S Mishra, E Tadmor
Foundations of Computational Mathematics 17 (3), 763-827, 2017
1192017
On the computation of measure-valued solutions
US Fjordholm, S Mishra, E Tadmor
Acta numerica 25, 567-679, 2016
862016
ENO reconstruction and ENO interpolation are stable
US Fjordholm, S Mishra, E Tadmor
Foundations of Computational Mathematics 13 (2), 139-159, 2013
592013
Energy preserving and energy stable schemes for the shallow water equations
US Fjordholm, S Mishra, E Tadmor
Foundations of Computational Mathematics, 93-139, 2009
57*2009
Entropy stable scheme on two-dimensional unstructured grids for Euler equations
D Ray, P Chandrashekar, US Fjordholm, S Mishra
Communications in Computational Physics 19 (5), 1111-1140, 2016
432016
Statistical solutions of hyperbolic conservation laws: foundations
US Fjordholm, S Lanthaler, S Mishra
Archive for Rational Mechanics and Analysis 226 (2), 809-849, 2017
392017
High-order accurate entropy stable numercial schemes for hyperbolic conservation laws
US Fjordholm
ETH Zurich, 2013
332013
Entropy conservative and entropy stable schemes for nonconservative hyperbolic systems
MJ Castro, US Fjordholm, S Mishra, C Parés
SIAM Journal on Numerical Analysis 51 (3), 1371-1391, 2013
332013
High-order accurate, fully discrete entropy stable schemes for scalar conservation laws
H Zakerzadeh, US Fjordholm
IMA Journal of Numerical Analysis 36 (2), 633-654, 2016
272016
Accurate numerical discretizations of non-conservative hyperbolic systems
US Fjordholm, S Mishra
ESAIM: Mathematical Modelling and Numerical Analysis 46 (1), 187-206, 2012
272012
Statistical solutions and Onsager’s conjecture
US Fjordholm, E Wiedemann
Physica D: Nonlinear Phenomena 376, 259-265, 2018
232018
A sign preserving WENO reconstruction method
US Fjordholm, D Ray
Journal of Scientific Computing 68 (1), 42-63, 2016
222016
Statistical solutions of hyperbolic systems of conservation laws: numerical approximation
US Fjordholm, K Lye, S Mishra, F Weber
Mathematical Models and Methods in Applied Sciences 30 (03), 539-609, 2020
192020
Numerical approximation of statistical solutions of scalar conservation laws
US Fjordholm, K Lye, S Mishra
SIAM Journal on Numerical Analysis 56 (5), 2989-3009, 2018
152018
Second-order convergence of monotone schemes for conservation laws
US Fjordholm, S Solem
SIAM Journal on Numerical Analysis 54 (3), 1920-1945, 2016
152016
Entropy conservative and entropy stable finite volume schemes for multi-dimensional conservation laws on unstructured meshes
A Madrane, US Fjordholm, S Mishra, E Tadmor
ETH Zurich, 2012
122012
Numerical methods for conservation laws and related equations
S Mishra, U Fjordholm, R Abgrall
Lecture notes for Numerical Methods for Partial Differential Equations, ETH …, 2019
112019
Vorticity preserving finite volume schemes for the shallow water equations
US Fjordholm, S Mishra
SIAM Journal on Scientific Computing 33 (2), 588-611, 2011
112011
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