Computer-aided analysis of difference schemes for partial differential equations / Victor G. Ghanza 

Public ISBD Titre : Computer-aided analysis of difference schemes for partial differential equations Type de document : texte imprimé Auteurs : Victor G. Ghanza ; E.V. Vorozhtsov, Auteur Editeur : New York : Wiley Année de publication : 1996 Importance : 458 p. Présentation : ill. Format : 25 cm ISBN/ISSN/EAN : 978-0-471-12946-2 Note générale : Bibliogr. en fin de chapitres. Index. Langues : Anglais (eng) Mots-clés : Differential equations, Partial;Finite differences;Equations aux dérivées partielles;Différences finies Résumé : This book is a comprehensive, modern reference source containing applications of computerized symbolic manipulations for analyzing the stability of a wide range of difference schemes. The authors provide specific characteristics of each scheme and their application to real world problems. Contents : The necessary basics from the stability theory of difference schemes and polynomials. Symbolic : Numerical method for the stability investigation of difference schemes on a computer. Application of optimization methods to the stability analysis of difference schemes. Stability analysis of difference schemes by catastrophe theory methods. Construction of multiply connected stability regions of difference schemes by computer algebra and pattern recognition. Maximally stable difference schemes. Stability analysis of nonlinear difference schemes. Symbolic computation of differential approximations. Appendices. Index. Computer-aided analysis of difference schemes for partial differential equations [texte imprimé] / Victor G. Ghanza ; E.V. Vorozhtsov, Auteur . - New York : Wiley, 1996 . - 458 p. : ill. ; 25 cm. ISBN : 978-0-471-12946-2 Bibliogr. en fin de chapitres. Index. Langues : Anglais (eng) Mots-clés : Differential equations, Partial;Finite differences;Equations aux dérivées partielles;Différences finies Résumé : This book is a comprehensive, modern reference source containing applications of computerized symbolic manipulations for analyzing the stability of a wide range of difference schemes. The authors provide specific characteristics of each scheme and their application to real world problems. Contents : The necessary basics from the stability theory of difference schemes and polynomials. Symbolic : Numerical method for the stability investigation of difference schemes on a computer. Application of optimization methods to the stability analysis of difference schemes. Stability analysis of difference schemes by catastrophe theory methods. Construction of multiply connected stability regions of difference schemes by computer algebra and pattern recognition. Maximally stable difference schemes. Stability analysis of nonlinear difference schemes. Symbolic computation of differential approximations. Appendices. Index.

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