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Accueil du site > Séminaires > Probabilités Statistiques et réseaux de neurones > Cauchy problems with periodic controls

Vendredi 16 juin 2006 à 11 heures

Cauchy problems with periodic controls

Istvan Gyongy (Edinburgh University, Grande Bretagne)

Résumé : The talk is based on a recent joint work with N.V. Krylov. A parametrized family of Cauchy problems is considered for linear evolution equations in Banach spaces. For the solutions an expansion in powers of the parameter is obtained. Applications to numerical solutions of a large class of PDEs and (nonlinear) ODEs are presented. In particular, it is shown that the order of accuracy of finite difference and splitting-up approximations can be made as high as wanted by an implementation of Richardson’s idea.

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