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

Butcher, J. C.

ISBN 10: 0471910465 / ISBN 13: 9780471910466

Published by Wiley, 1987

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Bibliographic Details

• Title: The Numerical Analysis of Ordinary Differential Equations: Runge-Kutta and General Linear Methods
• Publisher: Wiley
• Publication Date: 1987
• Language: English
• ISBN 10: 0471910465
• ISBN 13: 9780471910466
• Binding: Paperback
• Condition: Good

About this title

Synopsis

A step-by-step treatment of differential equations and their solution via numerical methods. Begining by examining differential calculus on a vector space, graphs, and combinatorics then looks at numerical methods for solving initial value problems through discussions of particular classes of methods as generalizations of Euler. This information serves as background to the detailed study of Runge-Kutta that follows and, using this as a theoretical framework, discusses general linear methods, providing a means of studying a wide range of interesting approaches in a unified manner. Features an extensive bibliography.