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Approximations Spectrales De Problemes Aux Limites Elliptiques
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Approximations Spectrales De Problemes Aux Limites Elliptiques (Paperback)

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Les m thodes spectrales sont une technique r cente d'approximation de la solution d' quations aux d riv es partielles par des polyn mes de haut degr . Elles ont un degr de pr cision infini: l'ordre de l'erreur ne d pend que de la solution approcher. Leur utilisation s'est norm ment d velopp e ces derni res ann es.

Le sujet de ce livre est l'analyse num rique des m thodes spectrales. Il pr sente de fa on unifi e les notions de base, parmi lesquelles certains r sultats r cents, et donne quelques applications (en particulier la discr tisation du probl me de Stokes). Une attention particuli re est port e l'optimalit des r sultats, d montr e gr ce des contre-exemples appropri s. La lecture du livre permet aux tudiants de D.E.A. d'analyse num rique et aux chercheurs int ress s par le sujet d'acqu rir une connaissance compl te de la m thode pour des probl mes mod le, ainsi que les id es de base permettant de la mettre en oeuvre.

Un formulaire regroupe les formules de base sur les polyn mes orthogonaux pour faciliter la lecture. L'ouvrage contient des nombreux exercices.

Science & MathematicsMathematicsCalculus & mathematical analysisScience & MathematicsPhysics Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Publication Date: 10/10/1992 ISBN-13: 9783540595762  Details: Type: Paperback Format: Books
Availability: To Order. Estimated despatch in 1-3 weeks.  

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