Solving Ordinary Differential Equations I

Nonstiff Problems
2. Auflage 1993. Corr. 3rd printing 2009
ISBN: 978-3-642-05163-0
Verlag: Springer

Buch, Englisch, Band 8, 528 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 1670 g

Reihe: Springer Series in Computational Mathematics

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.

Zielgruppe

Research

Autoren/Hrsg.

Hairer, Ernst

Wanner, Gerhard

Nørsett, Syvert P.

Fachgebiete

• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Computeranwendungen in der Mathematik
• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen

Inhaltsverzeichnis

Classical Mathematical Theory.- Runge-Kutta and Extrapolation Methods.- Multistep Methods and General Linear Methods.