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A-stable high-order implicit time schemes

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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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Dates and versions

hal-01535638 , version 1 (11-09-2017)


  • HAL Id : hal-01535638 , version 1


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. ⟨hal-01535638⟩
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