Optimized High Order Explicit Runge-Kutta-Nyström Schemes
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| hal.structure.identifier | Advanced 3D Numerical Modeling in Geophysics [Magique 3D] | |
| dc.contributor.author | DURUFLÉ, Marc | |
| hal.structure.identifier | Laboratoire de Mathématiques et de leurs Applications [Pau] [LMAP] | |
| hal.structure.identifier | Advanced 3D Numerical Modeling in Geophysics [Magique 3D] | |
| dc.contributor.author | N'DIAYE, Mamadou | |
| dc.contributor.editor | Bittencourt, Marco | |
| dc.contributor.editor | Dumont, Ney | |
| dc.contributor.editor | Hesthaven, Jan S | |
| dc.date.accessioned | 2024-04-04T03:08:25Z | |
| dc.date.available | 2024-04-04T03:08:25Z | |
| dc.date.issued | 2017 | |
| dc.date.conference | 2016-06-27 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/193527 | |
| dc.description.abstractEn | Runge-Kutta-Nyström (RKN) schemes have been developed to solve a non-linear ordinary differential equation (ODE) of the type y'' = f (t, y). In [4],the stability condition (the Courant-Friedrichs-Lewy or CFL) associated with these schemes have been studied for order 3, 4 and 5. In this paper, we extend this study for higher orders and we propose a new algorithm to compute numerically the CFL. By using this algorithm, we compute optimal coefficients for RKN schemes of orders 6, 7, 8 and 10 which maximize the CFL. Herein, the obtained schemes are used to solve non-linear Maxwell’s equations in 1-D. | |
| dc.language.iso | en | |
| dc.publisher | Springer | |
| dc.title.en | Optimized High Order Explicit Runge-Kutta-Nyström Schemes | |
| dc.type | Communication dans un congrès | |
| dc.subject.hal | Mathématiques [math]/Equations aux dérivées partielles [math.AP] | |
| bordeaux.page | 599-612 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.conference.title | ICOSAHOM 2016 - International Conference on Spectral and High-Order Methods | |
| bordeaux.country | BR | |
| bordeaux.conference.city | Rio de Janeiro | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-01403338 | |
| hal.version | 1 | |
| hal.invited | non | |
| hal.proceedings | oui | |
| hal.conference.end | 2016-07-01 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-01403338v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.date=2017&rft.spage=599-612&rft.epage=599-612&rft.au=DURUFL%C3%89,%20Marc&N'DIAYE,%20Mamadou&rft.genre=unknown |
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