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.