الفهرس الالي لمكتبة كلية العلوم و علوم التكنولوجيا
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Finite difference schemes and partial differential equations / John C. Strikwerda
Titre : Finite difference schemes and partial differential equations Type de document : texte imprimé Auteurs : John C. Strikwerda (1947-....), Auteur Editeur : NEW YORK,ALBANY,BONN : Chapman Année de publication : 1999 Importance : xii, 386 p. Présentation : fig., tabl. Format : 15X23 cm. ISBN/ISSN/EAN : 978-0-412-07221-5 Note générale : Éditeur : Chapman and Hall/CRC; New e. édition (15 mai 1990)
Langue : Anglais
Relié : 392 pages
ISBN-10 : 0412072211
ISBN-13 : 978-0412072215
Poids de l'article : 644 g
Dimensions : 17.78 x 2.54 x 24.77 cmLangues : Anglais (eng) Mots-clés : Finite difference schemes and partial differential equations hyperbolic partial differential equations order of accuracy multistep schemes dissipation and dispersion parabolic partial analysis of well-posed convergence estimates elliptic partial linear iterative methods matrix and vector analysis a survey of result from complex analysis Index. décimale : 515.3 Résumé : This book combines practical aspects of implementation with theoretical analysis of finite difference schemes and partial differences schemes. There is a thorough discussion of the concepts of convergence, consistency, and stability for time-dependent equations. The von Neumann analysis of stability is developed rigorously using the methods of Fourier analysis. Fourier analysis is used throughout the text, providing a unified treatment of the basic concepts and results. A complete proof of the Lax-Richtmyer theorem for equations with constant coefficients is included.
SOMMAIRE:
1-HYPERBOLIC PARTIAL DIFFERENTIAL EQUATIONS
2-ANALYSIS OF FINITE DIFFERENCE SCHEMES
3-ORDER OF ACCURACY OF FINITE DIFFERENCE SCHEMES
4-STABILITY FOR MULTISTEP SCHEMES
5-DISSIPATION AND DISPERSION
6-PARABOLIC PARTIAL DIFFERENTIAL EQUATIONS
7-SYSTEMS OF PARTIAL DIFFERENTIAL EQUATIONS IN HIGHER DIMENSIONS
8-SECOND-ORDER EQUATIONS
9-ANALYSIS OF WELL-POSED AND STABLE PROBLEMS
10-CONVERGENCE ESTIMATES FOR INITIAL VALUE PROBLEMS
11-WELL-POSED AND STABLE INITIAL-BOUNDARY VALUE PROBLEMS
12-ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS AND DIFFERENCE SCHEMES
13-LINEAR ITERATIVE METHODS
14-THE METHOD OF STEEPEST DESCENT AND THE CONJUGATE GRADIENT METHOD
Note de contenu : Finite Difference Schemes and Partial Differential Equations (Anglais) Relié – 15 mai 1990
de John C. Strikwerda (Auteur)
APPENDICES
A-matrix and vector analysis
b a survey of real analysis
c a survey of results from complex analysis
references
indexFinite difference schemes and partial differential equations [texte imprimé] / John C. Strikwerda (1947-....), Auteur . - [S.l.] : NEW YORK,ALBANY,BONN : Chapman, 1999 . - xii, 386 p. : fig., tabl. ; 15X23 cm.
ISBN : 978-0-412-07221-5
Éditeur : Chapman and Hall/CRC; New e. édition (15 mai 1990)
Langue : Anglais
Relié : 392 pages
ISBN-10 : 0412072211
ISBN-13 : 978-0412072215
Poids de l'article : 644 g
Dimensions : 17.78 x 2.54 x 24.77 cm
Langues : Anglais (eng)
Mots-clés : Finite difference schemes and partial differential equations hyperbolic partial differential equations order of accuracy multistep schemes dissipation and dispersion parabolic partial analysis of well-posed convergence estimates elliptic partial linear iterative methods matrix and vector analysis a survey of result from complex analysis Index. décimale : 515.3 Résumé : This book combines practical aspects of implementation with theoretical analysis of finite difference schemes and partial differences schemes. There is a thorough discussion of the concepts of convergence, consistency, and stability for time-dependent equations. The von Neumann analysis of stability is developed rigorously using the methods of Fourier analysis. Fourier analysis is used throughout the text, providing a unified treatment of the basic concepts and results. A complete proof of the Lax-Richtmyer theorem for equations with constant coefficients is included.
SOMMAIRE:
1-HYPERBOLIC PARTIAL DIFFERENTIAL EQUATIONS
2-ANALYSIS OF FINITE DIFFERENCE SCHEMES
3-ORDER OF ACCURACY OF FINITE DIFFERENCE SCHEMES
4-STABILITY FOR MULTISTEP SCHEMES
5-DISSIPATION AND DISPERSION
6-PARABOLIC PARTIAL DIFFERENTIAL EQUATIONS
7-SYSTEMS OF PARTIAL DIFFERENTIAL EQUATIONS IN HIGHER DIMENSIONS
8-SECOND-ORDER EQUATIONS
9-ANALYSIS OF WELL-POSED AND STABLE PROBLEMS
10-CONVERGENCE ESTIMATES FOR INITIAL VALUE PROBLEMS
11-WELL-POSED AND STABLE INITIAL-BOUNDARY VALUE PROBLEMS
12-ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS AND DIFFERENCE SCHEMES
13-LINEAR ITERATIVE METHODS
14-THE METHOD OF STEEPEST DESCENT AND THE CONJUGATE GRADIENT METHOD
Note de contenu : Finite Difference Schemes and Partial Differential Equations (Anglais) Relié – 15 mai 1990
de John C. Strikwerda (Auteur)
APPENDICES
A-matrix and vector analysis
b a survey of real analysis
c a survey of results from complex analysis
references
indexExemplaires (1)
Code-barres Cote Support Localisation Section Disponibilité ST12993 515.3/87.1 Ouvrage Faculté des Sciences et de la Technologie 500 - Sciences de la nature et Mathématiques Exclu du prêt