Ulrik Skre Fjordholm

Image of Ulrik Skre Fjordholm
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Phone +47-22856029
Room 1017
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Visiting address Moltke Moes vei 35 Niels Henrik Abels hus 0851 OSLO
Postal address Postboks 1053 Blindern 0316 OSLO

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Tags: Nonlinear PDEs, Numerical methods for PDEs, Hyperbolic conservation laws, differential equations, Computational Mathematics

Publications

  • Chatterjee, Neelabja & Fjordholm, Ulrik Skre (2018). A convergent finite volume method for the Kuramoto equation and related nonlocal conservation laws. IMA Journal of Numerical Analysis.  ISSN 0272-4979. . doi: 10.1093/imanum/dry074
  • Fjordholm, Ulrik Skre (2018). Sharp uniqueness conditions for one-dimensional, autonomous ordinary differential equations. Comptes rendus. Mathematique.  ISSN 1631-073X.  356(9), s 916- 921 . doi: 10.1016/j.crma.2018.07.008
  • 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), s 2989- 3009 . doi: 10.1137/17M1154874
  • 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), s 809- 849 . doi: 10.1007/s00205-017-1145-9
  • Fjordholm, Ulrik Skre & Wiedemann, Emil (2017). Statistical solutions and Onsager’s conjecture. Physica D : Non-linear Phenomena.  ISSN 0167-2789.  376-377, s 259- 265 . doi: 10.1016/j.physd.2017.10.009 Full text in Research Archive.
  • Fjordholm, Ulrik Skre (2016). Stability properties of the ENO method, In Rémi Abgrall & Chi-Wang Shu (ed.),  Handbook of Numerical Methods for Hyperbolic Problems Applied and Modern Issues.  Elsevier.  ISBN 978-0-444-63910-3.  6.
  • Fjordholm, Ulrik Skre; Mishra, Siddhartha & Tadmor, Eitan (2016). On the computation of measure-valued solutions. Acta Numerica.  ISSN 0962-4929.  25, s 567- 679 . doi: 10.1017/S0962492916000088
  • Fjordholm, Ulrik Skre & Solem, Susanne (2016). Second-order convergence of monotone schemes for conservation laws. SIAM Journal on Numerical Analysis.  ISSN 0036-1429.  54(3), s 1920- 1945 . doi: 10.1137/16M1059138
  • 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), s 1111- 1140 . doi: 10.4208/cicp.scpde14.43s
  • Zakerzadeh, Hamed & Fjordholm, Ulrik Skre (2016). High-order accurate, fully discrete entropy stable schemes for scalar conservation laws. IMA Journal of Numerical Analysis.  ISSN 0272-4979.  36(2), s 633- 654 . doi: 10.1093/imanum/drv020
  • Fjordholm, Ulrik Skre; Käppeli, Roger; Mishra, Siddhartha & Tadmor, Eitan (2015). Construction of Approximate Entropy Measure-Valued Solutions for Hyperbolic Systems of Conservation Laws. Foundations of Computational Mathematics.  ISSN 1615-3375.  s 1- 65 . doi: 10.1007/s10208-015-9299-z
  • Fjordholm, Ulrik Skre & Ray, Deep (2015). A Sign Preserving WENO Reconstruction Method. Journal of Scientific Computing.  ISSN 0885-7474. . doi: 10.1007/s10915-015-0128-y

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  • Solem, Susanne; Fjordholm, Ulrik Skre & Carrillo, José A (2018). A second-order numerical method for the aggregation equations.
  • Fjordholm, Ulrik Skre (2016). Statistical solutions of hyperbolic conservation laws.
  • Fjordholm, Ulrik Skre (2016). Statistical solutions of hyperbolic conservation laws.
  • Fjordholm, Ulrik Skre (2016). Statistical solutions of hyperbolic conservation laws.
  • Fjordholm, Ulrik Skre (2016). Statistical solutions of hyperbolic conservation laws.

View all works in Cristin

Published July 17, 2017 9:29 AM - Last modified Dec. 10, 2018 12:48 PM