2022
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1. |
Fjordholm, Ulrik Skre; Lye, Kjetil Olsen. Convergence Rates of Monotone Schemes for Conservation Laws for Data with Unbounded Total Variation. Journal of Scientific Computing 2022 ;Volum 91. UiO SINTEF
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2. |
Fjordholm, Ulrik Skre; Musch, Markus; Risebro, Nils Henrik. Well-Posedness and Convergence of a Finite Volume Method for Conservation Laws on Networks. SIAM Journal on Numerical Analysis 2022 ;Volum 60.(2) s. 606-630 UiO
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Musch, Markus; Fjordholm, Ulrik Skre; Risebro, Nils Henrik. Well-posedness theory for nonlinear scalar conservation laws on networks. Networks and Heterogeneous Media 2022 ;Volum 17.(1) s. 101-128 UiO
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2021
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4. |
Fjordholm, Ulrik Skre; Ruf, Adrian Montgomery. Second-order accurate TVD numerical methods for nonlocal nonlinear conservation laws. SIAM Journal on Numerical Analysis 2021 ;Volum 59.(3) s. 1167-1194 UiO
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2020
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5. |
Carrillo, José A; Fjordholm, Ulrik Skre; Solem, Susanne. A second-order numerical method for the aggregation equations. Mathematics of Computation 2020 ;Volum 90. s. 103-139 NTNU UiO
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6. |
Chatterjee, Neelabja; Fjordholm, Ulrik Skre. A convergent finite volume method for the Kuramoto equation and related nonlocal conservation laws. IMA Journal of Numerical Analysis 2020 ;Volum 40.(1) s. 405-421 UiO
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Chatterjee, Neelabja; Fjordholm, Ulrik Skre. Convergence of second-order, entropy stable methods for multi-dimensional conservation laws. Mathematical Modelling and Numerical Analysis 2020 ;Volum 54.(4) s. 1415-1428 UiO
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8. |
Fjordholm, Ulrik Skre; Lye, Kjetil; Mishra, Siddhartha; Weber, Franziska. Statistical solutions of hyperbolic systems of conservation laws: Numerical approximation. Mathematical Models and Methods in Applied Sciences 2020 ;Volum 30.(3) s. 539-609 UiO
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2018
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9. |
Chatterjee, Neelabja; Fjordholm, Ulrik Skre. A convergent finite volume method for the Kuramoto equation and related nonlocal conservation laws. IMA Journal of Numerical Analysis 2018 ;Volum 54.(4) s. 1415-1428 UiO
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10. |
Fjordholm, Ulrik Skre. Sharp uniqueness conditions for one-dimensional, autonomous ordinary differential equations. Comptes rendus. Mathematique 2018 ;Volum 356.(9) s. 916-921 UiO
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Fjordholm, Ulrik Skre; Lye, Kjetil; Mishra, Siddhartha. Numerical Approximation of Statistical Solutions of Scalar Conservation Laws. SIAM Journal on Numerical Analysis 2018 ;Volum 56.(5) s. 2989-3009 UiO
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12. |
Solem, Susanne; Fjordholm, Ulrik Skre; Carrillo, José A. A second-order numerical method for the aggregation equations. XVII International Conference on Hyperbolic Problems Theory, Numerics, Applications; 2018-06-25 - 2018-06-29 NTNU UiO
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2017
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13. |
Fjordholm, Ulrik Skre; Lanthaler, Samuel; Mishra, Siddhartha. Statistical solutions of hyperbolic conservation laws I: Foundations. Archive for Rational Mechanics and Analysis 2017 ;Volum 226.(2) s. 809-849 NTNU
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14. |
Fjordholm, Ulrik Skre; Wiedemann, Emil. Statistical solutions and Onsager’s conjecture. Physica D : Non-linear phenomena 2017 ;Volum 376-377. s. 259-265 UiO
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2016
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15. |
Fjordholm, Ulrik Skre. Stability properties of the ENO method. I: Handbook of Numerical Methods for Hyperbolic Problems Applied and Modern Issues. Elsevier 2016 ISBN 978-0-444-63910-3. NTNU
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16. |
Fjordholm, Ulrik Skre. Statistical solutions of hyperbolic conservation laws. HYP 2016; 2016-08-01 - 2016-08-05 NTNU
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17. |
Fjordholm, Ulrik Skre. Statistical solutions of hyperbolic conservation laws. 27th Nordic Congress of Mathematicians; 2016-03-16 - 2016-03-20 NTNU
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18. |
Fjordholm, Ulrik Skre. Statistical solutions of hyperbolic conservation laws. Workshop Interactions between Partial Differential Equations & Functional Inequalities; 2016-09-12 - 2016-09-16 NTNU
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19. |
Fjordholm, Ulrik Skre. Statistical solutions of hyperbolic conservation laws. Non-linear PDEs, mathematical physics, and stochastic analysis; 2016-07-04 - 2016-07-07 NTNU
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20. |
Fjordholm, Ulrik Skre; Mishra, Siddhartha; Tadmor, Eitan. On the computation of measure-valued solutions. Acta Numerica 2016 ;Volum 25. s. 567-679 NTNU
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21. |
Fjordholm, Ulrik Skre; Solem, Susanne. Second-order convergence of monotone schemes for conservation laws. SIAM Journal on Numerical Analysis 2016 ;Volum 54.(3) s. 1920-1945 NTNU
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22. |
Ray, Deep; Chandrashekar, Praveen; Fjordholm, Ulrik Skre; Mishra, Siddhartha. Entropy Stable Scheme on Two-Dimensional Unstructured Grids for Euler Equations. Communications in Computational Physics 2016 ;Volum 19.(5) s. 1111-1140 NTNU UiO
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23. |
Zakerzadeh, Hamed; Fjordholm, Ulrik Skre. High-order accurate, fully discrete entropy stable schemes for scalar conservation laws. IMA Journal of Numerical Analysis 2016 ;Volum 36.(2) s. 633-654 NTNU
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2015
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24. |
Fjordholm, Ulrik Skre; Käppeli, Roger; Mishra, Siddhartha; Tadmor, Eitan. Construction of Approximate Entropy Measure-Valued Solutions for Hyperbolic Systems of Conservation Laws. Foundations of Computational Mathematics 2015 s. 1-65 NTNU
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25. |
Fjordholm, Ulrik Skre; Ray, Deep. A Sign Preserving WENO Reconstruction Method. Journal of Scientific Computing 2015 NTNU
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