Theoretical optimization of finite difference schemes

Claire david@lmm.jussieu.fr David; Pierre Sagaut

doi:10.3934/proc.2007.2007.286

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2007, Volume 2007: 286-293. Doi: 10.3934/proc.2007.2007.286 open access

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Theoretical optimization of finite difference schemes

Claire david@lmm.jussieu.fr David^1, and
Pierre Sagaut¹

1.
Université Pierre et Marie Curie-Paris 6, Institut Jean Le Rond d'Alembert, UMR CNRS 71900, Boîte courrier $n^0$ 162, 4 place Jussieu, 75252 Paris, cedex 05. France

Received: August 31, 2006

Revised: February 28, 2007

Published: August 2007

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Abstract

The aim of this work is to develop general optimization methods for linear finite difference schemes used to approximate linear differential equations, on the basis of a matrix equation, which enables to determine the optimal value of a parameter for a given scheme.

Keywords:

Linear finite difference schemes,
Sylvester equation.

Mathematics Subject Classification: 65.

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