Solving Ordinary Differential Equations I : Nonstiff Problems

Ernst Hairer; Syvert P Norsett; Dr Gerhard Wanner
Springer
9783540566700
3-540-56670-8

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.

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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.