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Solving ordinary differential equations 2 / Ernst Hairer

Public ISBD Titre : Solving ordinary differential equations 2 : stiff and differential-algebraic problems Type de document : texte imprimé Auteurs : Ernst Hairer, Auteur ; Gerhard Wanner, Auteur Mention d'édition : 2 éd Editeur : Berlin : Springer-Verlag Année de publication : 1996 Collection : Springer series in computational mathematics num. 14 Importance : XV-614 p. Présentation : ill. Format : 25 cm ISBN/ISSN/EAN : 978-3-540-60452-5 Note générale : With 137 fig. Bibliogr. Index Langues : Anglais (eng) Mots-clés : Équations  différentielles  --  Solutions  numériques Index. décimale : 517.911 Questions générales. Théorèmes d'existence. Théorèmes d'unicité. Différentiabilité des solutions Résumé : The subject of this book is the solution of stiff differential equations and of differential-algebraic systems (differential equations with constraints). The book is divided into four chapters. The beginning of each chapter is of introductory nature, followed by practical applications, the discussion of numerical results, theoretical investigations on the order and accuracy, linear and nonlinear stability, convergence and asymptotic expansions. Stiff and differential-algebraic problems arise everywhere in scientific computations (e.g., in physics, chemistry, biology, control engineering, electrical network analysis, mechanical systems). Many applications as well as computer programs are presented. Note de contenu : - Stiff problems - One-step methods - Multistep methods for stiff problems - Singular perturbation problems and index 1 problems - Differential-Algebraic equations of higher index Solving ordinary differential equations 2 : stiff and differential-algebraic problems [texte imprimé] / Ernst Hairer, Auteur ; Gerhard Wanner, Auteur  . -  2 éd . - Springer-Verlag, 1996 . - XV-614 p. : ill. ; 25 cm. - (Springer series in computational mathematics; 14) . ISBN : 978-3-540-60452-5 With 137 fig. Bibliogr. Index Langues : Anglais (eng) Mots-clés : Équations  différentielles  --  Solutions  numériques Index. décimale : 517.911 Questions générales. Théorèmes d'existence. Théorèmes d'unicité. Différentiabilité des solutions Résumé : The subject of this book is the solution of stiff differential equations and of differential-algebraic systems (differential equations with constraints). The book is divided into four chapters. The beginning of each chapter is of introductory nature, followed by practical applications, the discussion of numerical results, theoretical investigations on the order and accuracy, linear and nonlinear stability, convergence and asymptotic expansions. Stiff and differential-algebraic problems arise everywhere in scientific computations (e.g., in physics, chemistry, biology, control engineering, electrical network analysis, mechanical systems). Many applications as well as computer programs are presented. Note de contenu : - Stiff problems - One-step methods - Multistep methods for stiff problems - Singular perturbation problems and index 1 problems - Differential-Algebraic equations of higher index

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Code-barres	Cote	Support	Localisation	Section	Disponibilité	Etat_Exemplaire
046790	517.911 HAI	Papier	Bibliothèque Centrale	Mathématiques	Disponible