Ulrik Skre Fjordholm

• Fjordholm, Ulrik Skre; Mæhlen, Ola Isaac Høgåsen & Ørke, Magnus Christie (2024). The particle paths of hyperbolic conservation laws. Mathematical Models and Methods in Applied Sciences. ISSN 0218-2025. doi: 10.1142/S0218202524500209.
• Fjordholm, Ulrik Skre; Musch, Markus & Risebro, Nils Henrik (2022). Well-Posedness and Convergence of a Finite Volume Method for Conservation Laws on Networks. SIAM Journal on Numerical Analysis. ISSN 0036-1429. 60(2), s. 606–630. doi: 10.1137/21M145001X. Fulltekst i vitenarkiv
• 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), s. 101–128. doi: 10.3934/nhm.2021025. Fulltekst i vitenarkiv
• 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. Fulltekst i vitenarkiv
• 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), s. 1167–1194. doi: 10.1137/20M1360979. Fulltekst i vitenarkiv
• Chatterjee, Neelabja & Fjordholm, Ulrik Skre (2020). A convergent finite volume method for the Kuramoto equation and related nonlocal conservation laws. IMA Journal of Numerical Analysis. ISSN 0272-4979. 40(1), s. 405–421. doi: 10.1093/imanum/dry074.
• Chatterjee, Neelabja & Fjordholm, Ulrik Skre (2020). Convergence of second-order, entropy stable methods for multi-dimensional conservation laws. Modélisation mathématique et analyse numérique. ISSN 0764-583X. 54(4), s. 1415–1428. doi: 10.1051/m2an/2019090. Fulltekst i vitenarkiv
• 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, s. 103–139. doi: 10.1090/mcom/3563. Fulltekst i vitenarkiv
• 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. Fulltekst i vitenarkiv
• 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: 10.1093/imanum/dry074. Fulltekst i vitenarkiv
• 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. Fulltekst i vitenarkiv
• 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. Fulltekst i vitenarkiv
• 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. Fulltekst i vitenarkiv
• 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 (2016). Stability properties of the ENO method. I Abgrall, Rémi & Shu, Chi-Wang (Red.), 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.
• 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.

Se alle arbeider i Cristin

• 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.

Se alle arbeider i Cristin