Verwandte Artikel zu Numerical Methods for Ordinary Differential Equations

Numerical Methods for Ordinary Differential Equations - Hardcover

Butcher, John

 
9780470723357: Numerical Methods for Ordinary Differential Equations
Hardcover
ISBN 10: 0470723351 ISBN 13: 9780470723357
Verlag: John Wiley & Sons, 2008

Inhaltsangabe

In recent years the study of numerical methods for solving ordinary differential equations has seen many new developments. This second edition of the author's pioneering text is fully revised and updated to acknowledge many of these developments. It includes a complete treatment of linear multistep methods whilst maintaining its unique and comprehensive emphasis on Runge-Kutta methods and general linear methods.
 
Although the specialist topics are taken to an advanced level, the entry point to the volume as a whole is not especially demanding. Early chapters provide a wide-ranging introduction to differential equations and difference equations together with a survey of numerical differential equation methods, based on the fundamental Euler method with more sophisticated methods presented as generalizations of Euler. Features of the book include
* Introductory work on differential and difference equations.
* A comprehensive introduction to the theory and practice of solving ordinary differential equations numerically.
* A detailed analysis of Runge-Kutta methods and of linear multistep methods.
* A complete study of general linear methods from both theoretical and practical points of view.
* The latest results on practical general linear methods and their implementation.
* A balance between informal discussion and rigorous mathematical style.
* Examples and exercises integrated into each chapter enhancing the suitability of the book as a course text or a self-study treatise.

Die Inhaltsangabe kann sich auf eine andere Ausgabe dieses Titels beziehen.

Von der hinteren Coverseite

In recent years the study of numerical methods for solving ordinary differential equations has seen many new developments. This second edition of the author's pioneering text is fully revised and updated to acknowledge many of these developments. It includes a complete treatment of linear multistep methods whilst maintaining its unique and comprehensive emphasis on Runge-Kutta methods and general linear methods.
 
Although the specialist topics are taken to an advanced level, the entry point to the volume as a whole is not especially demanding. Early chapters provide a wide-ranging introduction to differential equations and difference equations together with a survey of numerical differential equation methods, based on the fundamental Euler method with more sophisticated methods presented as generalizations of Euler. Features of the book include
* Introductory work on differential and difference equations.
* A comprehensive introduction to the theory and practice of solving ordinary differential equations numerically.
* A detailed analysis of Runge-Kutta methods and of linear multistep methods.
* A complete study of general linear methods from both theoretical and practical points of view.
* The latest results on practical general linear methods and their implementation.
* A balance between informal discussion and rigorous mathematical style.
* Examples and exercises integrated into each chapter enhancing the suitability of the book as a course text or a self-study treatise.

„Über diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.

Verlag
John Wiley & Sons
Erscheinungsdatum
2008
Sprache
Englisch
ISBN 10 
0470723351
ISBN 13 
9780470723357
Einband
Gebundene Ausgabe
Auflage
2
Anzahl der Seiten
482
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
Nicht verfügbar

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9780471967583: Numerical Methods for Ordinary Differential Equations

Vorgestellte Ausgabe

ISBN 10:  0471967580 ISBN 13:  9780471967583
Verlag: Wiley, 2003
Hardcover