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ORCIDUlrik S. Fjordholm
Person information
- affiliation: Norwegian University of Science and Technology (NTNU), Trondheim, Norway
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2020 – today
- 2023
[i6]Ulrik S. Fjordholm, Kenneth H. Karlsen, Peter H. C. Pang:
Convergent finite difference schemes for stochastic transport equations. CoRR abs/2309.02208 (2023)- 2022
- [j15]Ulrik Skre Fjordholm
, Kjetil Olsen Lye:
Convergence Rates of Monotone Schemes for Conservation Laws for Data with Unbounded Total Variation. J. Sci. Comput. 91(2): 32 (2022) - [j14]Markus Musch, Ulrik Skre Fjordholm, Nils Henrik Risebro:
Well-posedness theory for nonlinear scalar conservation laws on networks. Networks Heterog. Media 17(1): 101-128 (2022) - [j13]Ulrik S. Fjordholm, Markus Musch, Nils Henrik Risebro:
Well-Posedness and Convergence of a Finite Volume Method for Conservation Laws on Networks. SIAM J. Numer. Anal. 60(2): 606-630 (2022) - 2021
- [j12]José A. Carrillo, Ulrik S. Fjordholm, Susanne Solem:
A second-order numerical method for the aggregation equations. Math. Comput. 90(327): 103-139 (2021) - [j11]Ulrik S. Fjordholm, Adrian Montgomery Ruf:
Second-Order Accurate TVD Numerical Methods for Nonlocal Nonlinear Conservation Laws. SIAM J. Numer. Anal. 59(3): 1167-1194 (2021) - [i5]Ulrik Skre Fjordholm, Markus Musch, Nils Henrik Risebro:
Well-posedness theory for nonlinear scalar conservation laws on networks. CoRR abs/2102.06400 (2021) - 2020
- [i4]Ulrik Skre Fjordholm, Adrian Montgomery Ruf:
Second-order accurate TVD numerical methods for nonlocal nonlinear conservation laws. CoRR abs/2008.08326 (2020) - [i3]Ulrik Skre Fjordholm, Kjetil Olsen Lye:
Convergence rates of monotone schemes for conservation laws for data with unbounded total variation. CoRR abs/2010.07642 (2020)
2010 – 2019
- 2019
- [i2]Ulrik Skre Fjordholm, Kjetil O. Lye, Siddhartha Mishra, Franziska Weber:
Statistical solutions of hyperbolic systems of conservation laws: numerical approximation. CoRR abs/1906.02536 (2019) - [i1]Neelabja Chatterjee, Ulrik Skre Fjordholm:
Convergence of second-order, entropy stable methods for multi-dimensional conservation laws. CoRR abs/1906.05115 (2019) - 2018
- [j10]Ulrik S. Fjordholm, Kjetil O. Lye, Siddhartha Mishra:
Numerical Approximation of Statistical Solutions of Scalar Conservation Laws. SIAM J. Numer. Anal. 56(5): 2989-3009 (2018) - 2017
- [j9]Ulrik S. Fjordholm, Roger Käppeli, Siddhartha Mishra, Eitan Tadmor:
Construction of Approximate Entropy Measure-Valued Solutions for Hyperbolic Systems of Conservation Laws. Found. Comput. Math. 17(3): 763-827 (2017) - 2016
- [j8]Ulrik S. Fjordholm, Siddhartha Mishra, Eitan Tadmor:
On the computation of measure-valued solutions. Acta Numer. 25: 567-679 (2016) - [j7]Ulrik S. Fjordholm, Deep Ray:
A Sign Preserving WENO Reconstruction Method. J. Sci. Comput. 68(1): 42-63 (2016) - [j6]Ulrik S. Fjordholm, Susanne Solem:
Second-Order Convergence of Monotone Schemes for Conservation Laws. SIAM J. Numer. Anal. 54(3): 1920-1945 (2016) - 2013
- [j5]Ulrik S. Fjordholm, Siddhartha Mishra, Eitan Tadmor:
ENO Reconstruction and ENO Interpolation Are Stable. Found. Comput. Math. 13(2): 139-159 (2013) - [j4]Manuel J. Castro, Ulrik S. Fjordholm, Siddhartha Mishra, Carlos Parés Madroñal:
Entropy Conservative and Entropy Stable Schemes for Nonconservative Hyperbolic Systems. SIAM J. Numer. Anal. 51(3): 1371-1391 (2013) - 2012
- [j3]Ulrik S. Fjordholm, Siddhartha Mishra, Eitan Tadmor:
Arbitrarily High-order Accurate Entropy Stable Essentially Nonoscillatory Schemes for Systems of Conservation Laws. SIAM J. Numer. Anal. 50(2): 544-573 (2012) - 2011
- [j2]Ulrik S. Fjordholm, Siddhartha Mishra, Eitan Tadmor:
Well-balanced and energy stable schemes for the shallow water equations with discontinuous topography. J. Comput. Phys. 230(14): 5587-5609 (2011) - [j1]Ulrik S. Fjordholm, Siddhartha Mishra:
Vorticity Preserving Finite Volume Schemes for the Shallow Water Equations. SIAM J. Sci. Comput. 33(2): 588-611 (2011)
Coauthor Index
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