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Cover: 9783540566700 | Solving Ordinary Differential Equations I | Nonstiff Problems | Buch
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Solving Ordinary Differential Equations I
Nonstiff Problems
Buch von Ernst Hairer (u. a.)
Sprache: Englisch

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Beschreibung
This book deals with methods for solving nonstiff ordinary differential equations. The first chapter describes the historical development of the classical theory, and the second chapter includes a modern treatment of Runge-Kutta and extrapolation methods. Chapter three begins with the classical theory of multistep methods, and concludes with the theory of general linear methods. The reader will benefit from many illustrations, a historical and didactic approach, and computer programs which help him/her learn to solve all kinds of ordinary differential equations. This new edition has been rewritten and new material has been included.
This book deals with methods for solving nonstiff ordinary differential equations. The first chapter describes the historical development of the classical theory, and the second chapter includes a modern treatment of Runge-Kutta and extrapolation methods. Chapter three begins with the classical theory of multistep methods, and concludes with the theory of general linear methods. The reader will benefit from many illustrations, a historical and didactic approach, and computer programs which help him/her learn to solve all kinds of ordinary differential equations. This new edition has been rewritten and new material has been included.
Zusammenfassung
The book deals with methods for solving ordinary nonstiff differential equations. This new edition contains in particular the following new material: Hamiltonian systems and symplectic Runge-Kutta methods, dense output for Runge-Kutta and extrapolation methods, a new Dormand & Prince method of order 8 with dense output, parallel Runge-Kutta methods, numerical tests for first- and second order systems. The reader will benefit from many illustrations, a historical and didactic approach, and computer programs which help him learn to solve all kinds of ordinary differential equations. This book will be immensely useful to graduate students and researchers in numerical analysis and scientific computing, and to scientists in the fields mentioned above.
Inhaltsverzeichnis
Classical Mathematical Theory.- Runge-Kutta and Extrapolation Methods.- Multistep Methods and General Linear Methods.
Details
Erscheinungsjahr: 1993
Fachbereich: Analysis
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Reihe: Springer Series in Computational Mathematics
Inhalt: xv
528 S.
135 Fotos
ISBN-13: 9783540566700
ISBN-10: 3540566708
Sprache: Englisch
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Hairer, Ernst
Wanner, Gerhard
Nørsett, Syvert P.
Auflage: 2nd revidierte ed. Corr. print. 1993
Hersteller: Springer-Verlag GmbH
Springer Berlin Heidelberg
Springer Series in Computational Mathematics
Maße: 241 x 160 x 34 mm
Von/Mit: Ernst Hairer (u. a.)
Erscheinungsdatum: 05.08.1993
Gewicht: 0,98 kg
Artikel-ID: 105880281
Zusammenfassung
The book deals with methods for solving ordinary nonstiff differential equations. This new edition contains in particular the following new material: Hamiltonian systems and symplectic Runge-Kutta methods, dense output for Runge-Kutta and extrapolation methods, a new Dormand & Prince method of order 8 with dense output, parallel Runge-Kutta methods, numerical tests for first- and second order systems. The reader will benefit from many illustrations, a historical and didactic approach, and computer programs which help him learn to solve all kinds of ordinary differential equations. This book will be immensely useful to graduate students and researchers in numerical analysis and scientific computing, and to scientists in the fields mentioned above.
Inhaltsverzeichnis
Classical Mathematical Theory.- Runge-Kutta and Extrapolation Methods.- Multistep Methods and General Linear Methods.
Details
Erscheinungsjahr: 1993
Fachbereich: Analysis
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Reihe: Springer Series in Computational Mathematics
Inhalt: xv
528 S.
135 Fotos
ISBN-13: 9783540566700
ISBN-10: 3540566708
Sprache: Englisch
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Hairer, Ernst
Wanner, Gerhard
Nørsett, Syvert P.
Auflage: 2nd revidierte ed. Corr. print. 1993
Hersteller: Springer-Verlag GmbH
Springer Berlin Heidelberg
Springer Series in Computational Mathematics
Maße: 241 x 160 x 34 mm
Von/Mit: Ernst Hairer (u. a.)
Erscheinungsdatum: 05.08.1993
Gewicht: 0,98 kg
Artikel-ID: 105880281
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