Ulrik Skre Fjordholm
Associate Professor
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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
My research concentrates on analysis of PDEs and numerical methods for PDEs, in particular nonlinear first-order equations and related PDEs.
Please consult my ORCID or my Arxiv page for a (mostly) up to date publication list.
Publications
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Musch, Markus; Fjordholm, Ulrik Skre & Risebro, Nils Henrik (2022). Well-posedness theory for nonlinear scalar conservation laws on networks. Networks and Heterogeneous Media. ISSN 1556-1801. 17(1), p. 101–128. doi: 10.3934/nhm.2021025.
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Fjordholm, Ulrik Skre & Lye, Kjetil Olsen (2022). Convergence Rates of Monotone Schemes for Conservation Laws for Data with Unbounded Total Variation. Journal of Scientific Computing. ISSN 0885-7474. 91. doi: 10.1007/s10915-022-01806-x. Full text in Research Archive
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Fjordholm, Ulrik Skre & Ruf, Adrian Montgomery (2021). Second-order accurate TVD numerical methods for nonlocal nonlinear conservation laws. SIAM Journal on Numerical Analysis. ISSN 0036-1429. 59(3), p. 1167–1194. doi: 10.1137/20M1360979. Full text in Research Archive
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Chatterjee, Neelabja & Fjordholm, Ulrik Skre (2020). Convergence of second-order, entropy stable methods for multi-dimensional conservation laws. Mathematical Modelling and Numerical Analysis. ISSN 0764-583X. 54(4), p. 1415–1428. doi: 10.1051/m2an/2019090. Full text in Research Archive
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Carrillo, José A; Fjordholm, Ulrik Skre & Solem, Susanne (2020). A second-order numerical method for the aggregation equations. Mathematics of Computation. ISSN 0025-5718. 90, p. 103–139. doi: 10.1090/mcom/3563. Full text in Research Archive
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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), p. 539–609. doi: 10.1142/S0218202520500141. Full text in Research Archive
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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), p. 1415–1428. doi: 10.1093/imanum/dry074. Full text in Research Archive
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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), p. 2989–3009. doi: 10.1137/17M1154874. Full text in Research Archive
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Fjordholm, Ulrik Skre (2018). Sharp uniqueness conditions for one-dimensional, autonomous ordinary differential equations. Comptes rendus. Mathematique. ISSN 1631-073X. 356(9), p. 916–921. doi: 10.1016/j.crma.2018.07.008. Full text in Research Archive
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Fjordholm, Ulrik Skre & Wiedemann, Emil (2017). Statistical solutions and Onsager’s conjecture. Physica D : Non-linear phenomena. ISSN 0167-2789. 376-377, p. 259–265. doi: 10.1016/j.physd.2017.10.009. Full text in Research Archive
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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), p. 809–849. doi: 10.1007/s00205-017-1145-9.
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Fjordholm, Ulrik Skre (2016). Stability properties of the ENO method. In Abgrall, Rémi & Shu, Chi-Wang (Ed.), Handbook of Numerical Methods for Hyperbolic Problems Applied and Modern Issues. Elsevier. ISSN 978-0-444-63910-3. doi: 10.1016/bs.hna.2016.09.004.
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Fjordholm, Ulrik Skre; Mishra, Siddhartha & Tadmor, Eitan (2016). On the computation of measure-valued solutions. Acta Numerica. ISSN 0962-4929. 25, p. 567–679. doi: 10.1017/S0962492916000088.
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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), p. 1920–1945. doi: 10.1137/16M1059138.
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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), p. 1111–1140. doi: 10.4208/cicp.scpde14.43s.
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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), p. 633–654. doi: 10.1093/imanum/drv020.
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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. p. 1–65. doi: 10.1007/s10208-015-9299-z.
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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.
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Fjordholm, Ulrik Skre (2016). Statistical solutions of hyperbolic conservation laws.
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Fjordholm, Ulrik Skre (2016). Statistical solutions of hyperbolic conservation laws.
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Fjordholm, Ulrik Skre (2016). Statistical solutions of hyperbolic conservation laws.
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Fjordholm, Ulrik Skre (2016). Statistical solutions of hyperbolic conservation laws.
Published July 17, 2017 9:29 AM
- Last modified Mar. 25, 2022 9:57 AM