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Approximations Spectrales de Problèmes Aux Limites Elliptiques by Christine Bernardi

Approximations Spectrales de Problèmes Aux Limites Elliptiques

by Christine Bernardi
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Book cover type: Paperback
  • ISBN13: 9782817807515
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Springer
  • Publisher Imprint: Springer
  • Publication Date:
  • Pages: 243
  • Original Price: EUR 49.99
  • Language: English
  • Edition: Softcover Repri
  • Item Weight: 380 grams
  • BISAC Subject(s): Mathematical Analysis, Number Systems, and Physics / Mathematical & Computational

Les mA(c)thodes spectrales sont une technique rA(c)cente d'approximation de la solution d'A(c)quations aux dA(c)rivA(c)es partielles par des polynAmes de haut degrA(c). Elles ont un degrA(c) de prA(c)cision infini: l'ordre de l'erreur ne dA(c)pend que de la solution A approcher. Leur utilisation s'est A(c)normA(c)ment dA(c)veloppA(c)e ces derniA]res annA(c)es.

Le sujet de ce livre est l'analyse numA(c)rique des mA(c)thodes spectrales. Il prA(c)sente de faAon unifiA(c)e les notions de base, parmi lesquelles certains rA(c)sultats rA(c)cents, et donne quelques applications (en particulier la discrA(c)tisation du problA]me de Stokes). Une attention particuliA]re est portA(c)e A l'optimalitA(c) des rA(c)sultats, dA(c)montrA(c)e grA[ce A des contre-exemples appropriA(c)s. La lecture du livre permet aux A(c)tudiants de D.E.A. d'analyse numA(c)rique et aux chercheurs intA(c)ressA(c)s par le sujet d'acquA(c)rir une connaissance complA]te de la mA(c)thode pour des problA]mes modA]le, ainsi que les idA(c)es de base permettant de la mettre en A"uvre.

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

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