High order Padé schemes for ODEs

Mamadou N'Diaye 1, 2
1 Magique 3D - Advanced 3D Numerical Modeling in Geophysics
LMAP - Laboratoire de Mathématiques et de leurs Applications [Pau], Inria Bordeaux - Sud-Ouest
Abstract : We prensent a high order A-stable time integration schemes derived from the Padé approximation of an exponential function. The obtained schemes are not dissipasive when they are applied to the test equation $y'=i\lambda y$ and the dispersion becomes much lower with order.
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  • HAL Id : hal-01535802, version 1

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Mamadou N'Diaye. High order Padé schemes for ODEs. Journée de l'ecole doctorale ED211, Jun 2016, Pau, France. ⟨hal-01535802⟩

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