Optimized High Order Explicit Runge-Kutta-Nyström Schemes
DURUFLÉ, Marc
Institut de Mathématiques de Bordeaux [IMB]
Advanced 3D Numerical Modeling in Geophysics [Magique 3D]
Institut de Mathématiques de Bordeaux [IMB]
Advanced 3D Numerical Modeling in Geophysics [Magique 3D]
N'DIAYE, Mamadou
Laboratoire de Mathématiques et de leurs Applications [Pau] [LMAP]
Advanced 3D Numerical Modeling in Geophysics [Magique 3D]
Laboratoire de Mathématiques et de leurs Applications [Pau] [LMAP]
Advanced 3D Numerical Modeling in Geophysics [Magique 3D]
DURUFLÉ, Marc
Institut de Mathématiques de Bordeaux [IMB]
Advanced 3D Numerical Modeling in Geophysics [Magique 3D]
Institut de Mathématiques de Bordeaux [IMB]
Advanced 3D Numerical Modeling in Geophysics [Magique 3D]
N'DIAYE, Mamadou
Laboratoire de Mathématiques et de leurs Applications [Pau] [LMAP]
Advanced 3D Numerical Modeling in Geophysics [Magique 3D]
< Reduce
Laboratoire de Mathématiques et de leurs Applications [Pau] [LMAP]
Advanced 3D Numerical Modeling in Geophysics [Magique 3D]
Language
en
Communication dans un congrès
This item was published in
ICOSAHOM 2016 - International Conference on Spectral and High-Order Methods, 2016-06-27, Rio de Janeiro. 2017p. 599-612
Springer
English Abstract
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 ...Read more >
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.Read less <
Origin
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