Numerical Methods for Ordinary Differential

This new book updates the exceptionally popular Numerical Analysis of Ordinary Differential Equations. This book is...an indispensible reference for any researcher."-American Mathematical Society on the First Edition. Features: * New exercises included in each chapter. * Author is widely regarded as the world expert on Runge-Kutta methods * Didactic aspects of the book have been enhanced by interspersing the text with exercises. * Updated Bibliography.

John Charles Butcher ONZM is a New Zealand mathematician who specialises in numerical methods for the solution of ordinary differential equations. Butcher works on multistage methods for initial value problems, such as Runge-Kutta and general linear methods.

Preface.

1. Differential and Difference Equations.

10. Differential Equation Problems.

11. Differential Equation Theory.

12. Difference Equation Problems.

13. Difference Equation Theory.

2. Numerical Differential Equation Methods.

20. T

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Numerical Methods for Ordinary Differential Equations

Summary

Author Biography

Table of Contents

Supplemental Materials