The Numerical Analysis of Ordinary Differential Equations: Runge Kutta and General Linear Methods

Descripción:

This is an ex-library book and may have the usual library/used-book markings inside.This book has hardback covers. In fair condition, suitable as a study copy. No dust jacket. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,900grams, ISBN:0471910465. N° de ref. del artículo 4311673

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Sinopsis:

Reseña del editor: This book introduces the subject of numerical methods for ordinary differential equations and deals in detail with Runge- Kutta and general linear methods. Although present differential equation software is dominated by implementations of linear multistep methods, so that Runge- Kutta methods are less widely used in practice, it is the author's claim that their potential efficacy has not yet been fully realised. By presenting a detailed analysis of these methods and of the less familiar class of general linear methods, it is hoped to foster further interest in their implementation. It contains an analysis of the order conditions for Runge- Kutta methods using a combinatorial approach and shows how the analysis extends to general linear methods. It also deals with recent work on such topics as nonlinear stability for differential equations algorithms and looks in detail at practical questions related to efficient implementation. A substantial bibliography, fully comprehensive up to 1982, is included.