A-stable high-order implicit time schemes

Abstract : We address the problem of constructing high-order implicit schemes for wave equations. We considered two classes of one-step schemes adapted to linear Ordinary Differential Equations, one based upon Padé approximant of exponential, other one requiring the inversion of a unique linear system such as SDIRK (Singly Diagonally Implicit Runge Kutta) schemes.
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Communication dans un congrès
Waves 2017 International Conference on Mathematical and Numerical Aspects of Wave Propagation, May 2017, Minneapolis, United States. 2017, 〈https://cceevents.umn.edu/waves-2017〉
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https://hal.inria.fr/hal-01535638
Contributeur : Mamadou N'Diaye <>
Soumis le : lundi 11 septembre 2017 - 14:50:25
Dernière modification le : jeudi 11 janvier 2018 - 06:22:12

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  • HAL Id : hal-01535638, version 1

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Hélène Barucq, Marc Duruflé, Mamadou N'Diaye. A-stable high-order implicit time schemes. Waves 2017 International Conference on Mathematical and Numerical Aspects of Wave Propagation, May 2017, Minneapolis, United States. 2017, 〈https://cceevents.umn.edu/waves-2017〉. 〈hal-01535638〉

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