Solving Ordinary Differential Equations I - Nonstiff Problems (Hardcover, 2nd Corrected ed. 1993, Corr. 4th printing 2008)

This book deals with methods for solving nonstiff ordinary differential equations. The first chapter describes the historical development of the classical theory from Newton, Leibniz, Euler, and Hamilton to limit cycles and strange attractors. In a second chapter a modern treatment of Runge-Kutta and extrapolation methods is given. Also included are continuous methods for dense output, parallel Runge-Kutta methods, special methods for Hamiltonian systems, second order differential equations and delay equations. The third chapter begins with the classical theory of multistep methods, and concludes with the theory of general linear methods. Many applications from physics, chemistry, biology, and astronomy together with computer programs and numerical comparisons are presented. This new edition has been rewritten, errors have been eliminated and new material has been included. The book will be immensely useful to graduate students and researchers in numerical analysis and scientific computing, and to scientists in the fields mentioned above.

General

Imprint:	Springer-Verlag
Country of origin:	Germany
Series:	Springer Series in Computational Mathematics, 8
Release date:	April 2008
First published:	April 2008
Authors:	Ernst Hairer • Syvert P. Norsett • Gerhard Wanner
Dimensions:	235 x 155 x 37mm (L x W x T)
Format:	Hardcover
Pages:	528
Edition:	2nd Corrected ed. 1993, Corr. 4th printing 2008
ISBN-13:	978-3-540-56670-0
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations
LSN:	3-540-56670-8
Barcode:	9783540566700

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