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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https://hal.inria.fr/hal-01535638
Contributor : Mamadou N'Diaye <>
Submitted on : Monday, September 11, 2017 - 2:50:25 PM
Last modification on : Friday, April 12, 2019 - 10:56:12 AM

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  • HAL Id : hal-01535638, version 1

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Hélène Barucq, Marc Durufle, 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. ⟨hal-01535638⟩

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