書誌事項

Nonstiff problems

E. Hairer, S.P. Nørsett, G. Wanner

(Springer series in computational mathematics, 8 . Solving ordinary differential equations ; 1)

Springer-Verlag, 2008, c1993

2nd rev. ed., corrected 3rd printing

  • : hard
  • : soft

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注記

Bibliography: p. [491]-519

Includes indexes

"Second corrected printing 2000"--t.p.verso

内容説明・目次

内容説明

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.

目次

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

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