Ulrik Skre Fjordholm
Associate Professor
-
Differential Equations and Computational Mathematics
Norwegian version of this page
Email
ulriksf@math.uio.no
Phone
+47 22856029
Room
1017
Username
Visiting address
Moltke Moes vei 35
Niels Henrik Abels hus
0851 OSLO
Postal address
Postboks 1053 Blindern
0316 OSLO
Publications
- Fjordholm, Ulrik Skre; Lye, Kjetil; Mishra, Siddhartha & Weber, Franziska (2020). Statistical solutions of hyperbolic systems of conservation laws: Numerical approximation. Mathematical Models and Methods in Applied Sciences. ISSN 0218-2025. 30(3), s 539- 609 . doi: 10.1142/S0218202520500141 Full text in Research Archive.
- 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. 54(4), s 1415- 1428 . doi: 10.1051/m2an/2019090 Full text in Research Archive.
- 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 Full text in Research Archive.
- 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 Full text in Research Archive.
- 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
- 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.
Published July 17, 2017 9:29 AM
- Last modified June 12, 2020 9:35 AM