Splines quadratiques de type Hermite

Name: Splines quadratiques de type Hermite
Brand: Editions Universitaires Europeennes
SKU: 9786209994487
Price: 5111.0 INR
Availability: InStock

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ISBN13: 9786209994487
Binding: Paperback
Subject: N/A
Publisher: Editions Universitaires Europeennes
Publisher Imprint: Editions Universitaires Europeennes
Publication Date: May 12, 2026
Pages: 52
Original Price: USD 57.0
Language: French
Edition: N/A
Item Weight: 82 grams
BISAC Subject(s): General

About The Book

Cet ouvrage est consacr� � la construction et � l'analyse de bases spline quadratiques normalis�es de classe C 1 et � leur application � la quasi-interpolation discr�te. L'objectif principal est de d�velopper un cadre unifi� permettant de traiter de mani�re coh�rente l'interpolation d'Hermite, la repr�sentation spline et l'approximation num�rique � partir de donn�es locales.Apr�s avoir introduit les outils pr�liminaires n�cessaires, r�sum� autour des splines, des polyn�mes de Bernstein et de la forme polaire (blossoming), une base spline quadratique normalis�e est construite � partir de la base d'Hermite associ�e � un raffinement appropri� de la partition. Cette base poss�de des propri�t�s fondamentales telles que le support local, la non-n�gativit� et la partition de l'unit�, garantissant une bonne stabilit� num�rique. Les B-splines quadratiques classiques apparaissent comme un cas particulier de la construction propos�e. La forme polaire est utilis�e pour obtenir une repr�sentation explicite de l'interpolant d'Hermite et pour �tablir des propri�t�s de reproduction polynomiale. Ces r�sultats sont ensuite exploit�s pour construire des quasi-interpolants discrets locaux.

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