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Méthodes numériques pour les équations aux dérivées partielles by Addam-M

Méthodes numériques pour les équations aux dérivées partielles

by Addam-M
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Book cover type: Paperback
  • ISBN13: 9786131568237
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Univ Europeenne
  • Publisher Imprint: Univ Europeenne
  • Publication Date:
  • Pages: 216
  • Original Price: GBP 61.0
  • Language: French
  • Edition: N/A
  • Item Weight: 323 grams
  • BISAC Subject(s): Functional Analysis

Cet ouvrage pr�sente de fa�on rigoureuse les principales m�thodes d''approximation num�rique pour les �quations aux d�riv�es partielles(EDP), ayant pour objectif l''approximation de diffusion en tomographie optique. L''originalit� de cet ouvrage r�side dans l''expos� de m�thodes nouvelles pour g�rer la variable du temps des EDP non-stationnaire, il s''agit d''utiliser la transform�e de Fourier pour transformer la variable du temps en fr�quence, puis utiliser la m�thode de Galerkin � base les B-splines et splines tensorielles comme outils d''approximation. Ensuite, nous avons proc�d� par la transform�e de Fourier inverse avec comme moyen d''int�gration num�rique la m�thode de Gauss-Hermite pour calculer la solution en fonction du temps. Nous nous sommes int�ress� � l''estimation de l''erreur pour laquelle nous avons contribu� par certains r�sultats. Un chapitre complet est consacr� � la mise en oeuvre pratique de la m�thode d''approximation sans maillage en utilisant les fonctions � base radiale � support compact ou non comme noyaux reproduisant de l''espace d''interpolation. Dans le dernier chapitre, nous avons d�velopp� des r�sultats th�oriques et calculs techniques concernant le probl�me inverse.

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