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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: | 2009 |
---|---|
Fachbereich: | Analysis |
Genre: | Mathematik, Medizin, Naturwissenschaften, Technik |
Rubrik: | Naturwissenschaften & Technik |
Medium: | Taschenbuch |
Inhalt: |
xv
528 S. |
ISBN-13: | 9783642051630 |
ISBN-10: | 3642051634 |
Sprache: | Englisch |
Herstellernummer: | 12782819 |
Einband: | Kartoniert / Broschiert |
Autor: |
Hairer, Ernst
Wanner, Gerhard Nørsett, Syvert P. |
Auflage: | 2nd edition 1993. Corr. 3rd printing 2009 |
Hersteller: |
Springer Berlin
Springer Berlin Heidelberg |
Verantwortliche Person für die EU: | Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com |
Maße: | 235 x 155 x 30 mm |
Von/Mit: | Ernst Hairer (u. a.) |
Erscheinungsdatum: | 02.12.2009 |
Gewicht: | 0,82 kg |
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: | 2009 |
---|---|
Fachbereich: | Analysis |
Genre: | Mathematik, Medizin, Naturwissenschaften, Technik |
Rubrik: | Naturwissenschaften & Technik |
Medium: | Taschenbuch |
Inhalt: |
xv
528 S. |
ISBN-13: | 9783642051630 |
ISBN-10: | 3642051634 |
Sprache: | Englisch |
Herstellernummer: | 12782819 |
Einband: | Kartoniert / Broschiert |
Autor: |
Hairer, Ernst
Wanner, Gerhard Nørsett, Syvert P. |
Auflage: | 2nd edition 1993. Corr. 3rd printing 2009 |
Hersteller: |
Springer Berlin
Springer Berlin Heidelberg |
Verantwortliche Person für die EU: | Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com |
Maße: | 235 x 155 x 30 mm |
Von/Mit: | Ernst Hairer (u. a.) |
Erscheinungsdatum: | 02.12.2009 |
Gewicht: | 0,82 kg |
Sicherheitshinweis