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| Hauptseite > Publikationsdatenbank > Implicit Monotone Difference Methods for Scalar Conservation Laws with Source Terms > print |
| Hauptseite > Publikationsdatenbank > Implicit Monotone Difference Methods for Scalar Conservation Laws with Source Terms > print |
| 001 | 872637 | ||
| 005 | 20210130004239.0 | ||
| 024 | 7 | _ | |a 10.1007/s40306-019-00354-1 |2 doi |
| 024 | 7 | _ | |a 0251-4184 |2 ISSN |
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| 037 | _ | _ | |a FZJ-2020-00128 |
| 041 | _ | _ | |a English |
| 082 | _ | _ | |a 510 |
| 100 | 1 | _ | |a Breuß, Michael |0 P:(DE-HGF)0 |b 0 |
| 245 | _ | _ | |a Implicit Monotone Difference Methods for Scalar Conservation Laws with Source Terms |
| 260 | _ | _ | |a Singapore |c 2020 |b Springer Singapore |
| 336 | 7 | _ | |a article |2 DRIVER |
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| 336 | 7 | _ | |a Journal Article |0 0 |2 EndNote |
| 520 | _ | _ | |a In this article, a concept of implicit methods for scalar conservation laws in one or more spatial dimensions allowing also for source terms of various types is presented. This material is a significant extension of previous work of the first author (Breuß SIAM J. Numer. Anal. 43(3), 970–986 2005). Implicit notions are developed that are centered around a monotonicity criterion. We demonstrate a connection between a numerical scheme and a discrete entropy inequality, which is based on a classical approach by Crandall and Majda. Additionally, three implicit methods are investigated using the developed notions. Next, we conduct a convergence proof which is not based on a classical compactness argument. Finally, the theoretical results are confirmed by various numerical tests. |
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| 700 | 1 | _ | |a Kleefeld, Andreas |0 P:(DE-Juel1)169421 |b 1 |e Corresponding author |
| 773 | _ | _ | |a 10.1007/s40306-019-00354-1 |g Vol. 45, no. 3, p. 709 - 738 |0 PERI:(DE-600)2620691-2 |n 3 |p 709–738 |t Acta mathematica Vietnamica |v 45 |y 2020 |x 0251-4184 |
| 856 | 4 | _ | |u https://juser.fz-juelich.de/record/872637/files/Breu%C3%9F-Kleefeld2020_Article_ImplicitMonotoneDifferenceMeth.pdf |
| 856 | 4 | _ | |y Published on 2020-01-10. Available in OpenAccess from 2021-01-10. |u https://juser.fz-juelich.de/record/872637/files/1609.08861.pdf |
| 856 | 4 | _ | |y Published on 2020-01-10. Available in OpenAccess from 2021-01-10. |u https://juser.fz-juelich.de/record/872637/files/breusskleefeldR1.pdf |
| 856 | 4 | _ | |y Published on 2020-01-10. Available in OpenAccess from 2021-01-10. |x pdfa |u https://juser.fz-juelich.de/record/872637/files/1609.08861.pdf?subformat=pdfa |
| 856 | 4 | _ | |y Published on 2020-01-10. Available in OpenAccess from 2021-01-10. |x pdfa |u https://juser.fz-juelich.de/record/872637/files/breusskleefeldR1.pdf?subformat=pdfa |
| 856 | 4 | _ | |x pdfa |u https://juser.fz-juelich.de/record/872637/files/Breu%C3%9F-Kleefeld2020_Article_ImplicitMonotoneDifferenceMeth.pdf?subformat=pdfa |
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