Product Information
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.Product Identifiers
PublisherJohn Wiley & Sons AND Sons LTD
ISBN-139780471910466
eBay Product ID (ePID)88901412
Product Key Features
Number of Pages528 Pages
LanguageEnglish
Publication NameThe Numerical Analysis of Ordinary Differential Equations: Runge-Kutta and General Linear Methods
Publication Year1987
SubjectMathematics
TypeTextbook
AuthorJ. C. Butcher
FormatHardcover
Dimensions
Item Height230 mm
Item Weight850 g
Additional Product Features
Country/Region of ManufactureUnited Kingdom
Title_AuthorJ. C. Butcher