Research Catalog

Title

The numerical analysis of ordinary differential equations : Runge-Kutta and general linear methods / J.C. Butcher.

Author

Butcher, J. C. (John Charles), 1933-

Publication

Chichester [West Sussex] ; New York : J. Wiley, c1987.

Items in the Library & Off-site

Details

Description

xv, 512 p.; 25 cm.

Summary

A step-by-step treatment of differential equations and their solution via numerical methods. Beginning 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.

Subject

• Differential equations > Numerical solutions
• Runge-Kutta formulas

Note

• "A Wiley-Interscience publication."
• Includes index.

Bibliography (note)

• Bibliography: p. 408-505.

Processing Action (note)

• committed to retain

Contents

Mathematical and computational introduction -- The Euler method and its generalizations -- Analysis of Runge-Kutta methods -- General linear methods.

ISBN

0471910465

LCCN

^^^86005600^

OCLC

• 13331825
• SCSB-9975924

Owning Institutions

Harvard Library