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, 2000, c1993

2nd rev. ed, corrected

  • : hard

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注記

Bibliography: p. [491]-519

Includes index

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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