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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
3082012
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
1882011
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, 763-827, 2017
1362017
On the computation of measure-valued solutions
US Fjordholm, S Mishra, E Tadmor
Acta numerica 25, 567-679, 2016
1032016
ENO reconstruction and ENO interpolation are stable
US Fjordholm, S Mishra, E Tadmor
Foundations of Computational Mathematics 13, 139-159, 2013
772013
Energy preserving and energy stable schemes for the shallow water equations
US Fjordholm, S Mishra, E Tadmor
Foundations of Computational Mathematics, 93-139, 2009
67*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
592016
Statistical solutions of hyperbolic conservation laws: foundations
US Fjordholm, S Lanthaler, S Mishra
Archive for Rational Mechanics and Analysis 226, 809-849, 2017
532017
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
512013
Statistical solutions and Onsager’s conjecture
US Fjordholm, E Wiedemann
Physica D: Nonlinear Phenomena 376, 259-265, 2018
392018
High-order accurate entropy stable numercial schemes for hyperbolic conservation laws
US Fjordholm
ETH Zurich, 2013
392013
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
362016
Accurate numerical discretizations of non-conservative hyperbolic systems
US Fjordholm, S Mishra
ESAIM: Mathematical Modelling and Numerical Analysis-Modélisation …, 2012
362012
A sign preserving WENO reconstruction method
US Fjordholm, D Ray
Journal of Scientific Computing 68, 42-63, 2016
282016
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
272020
Second-order convergence of monotone schemes for conservation laws
US Fjordholm, S Solem
SIAM Journal on Numerical Analysis 54 (3), 1920-1945, 2016
202016
Numerical methods for conservation laws and related equations
S Mishra, U Fjordholm, R Abgrall
Lecture notes for Numerical Methods for Partial Differential Equations 57, 58, 2019
192019
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
172018
Well-posedness theory for nonlinear scalar conservation laws on networks
M Musch, US Fjordholm, NH Risebro
Networks & Heterogeneous Media 17 (1), 101-128, 2022
14*2022
Entropy stable ENO scheme
US Fjordholm, S Mishra, E Tadmor
Hyperbolic Problems: Theory, Numerics and Applications (In 2 Volumes), 12-27, 2012
142012
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