Solving Ordinary Differential Equations I: Nonstiff Problems (Springer Series in Computational Mathematics) [Hardcover]

E. Hairer (Author), S. P. Norsett (Author), Gerhard Wanner (Author)

Book Description

Publication Date: December 15, 1986 | ISBN-10: 0387171452 | ISBN-13: 978-0387171456

This book deals with methods for solving nonstiff ordinary differential equations. The first chapter describes the historical development of the classical theory, and the second chapter includes a modern treatment of Runge-Kutta and extrapolation methods. Chapter three begins with the classical theory of multistep methods, and concludes with the theory of general linear methods. The reader will benefit from many illustrations, a historical and didactic approach, and computer programs which help him/her learn to solve all kinds of ordinary differential equations. This new edition has been rewritten and new material has been included.

--This text refers to the Paperback edition.

Editorial Reviews

Review

From the reviews "This is the revised version of the first edition of Vol. I published in 1987. ….Vols. I and II (SSCM 14) of Solving Ordinary Differential Equations together are the standard text on numerical methods for ODEs. ...This book is well written and is together with Vol. II, the most comprehensive modern text on numerical integration methods for ODEs. It may serve a a text book for graduate courses, ...and also as a reference book for all those who have to solve ODE problems numerically." Zeitschrift für Angewandte Mathematik und Physik "… This book is a valuable tool for students of mathematics and specialists concerned with numerical analysis, mathematical physics, mechanics, system engineering, and the application of computers for design and planning…" Optimization "… This book is highly recommended as a text for courses in numerical methods for ordinary differential equations and as a reference for the worker. It should be in every library, both academic and industrial." Mathematics and Computers --This text refers to the Paperback edition.

Product Details

• Hardcover: 480 pages
• Publisher: Springer-Verlag (December 15, 1986)
• Language: English
• ISBN-10: 0387171452
• ISBN-13: 978-0387171456
• Average Customer Review: 3.0 out of 5 stars  See all reviews (1 customer review)
• Amazon Best Sellers Rank: #7,963,108 in Books (See Top 100 in Books)

More About the Author

Discover books, learn about writers, read author blogs, and more.

Customer Reviews

Most Helpful Customer Reviews

5 of 22 people found the following review helpful:

3.0 out of 5 stars Solving Differential Equations: Nonstiff Problem, April 10, 2000

By 

Lanyi XU (Lanzhou, Gansu Province, China) - See all my reviews

This review is from: Solving Ordinary Differential Equations: Nonstiff Problems (Springer Series in Computational Mechanics, Vol 8) (Hardcover)

I bought this book just because I have been using MATLAB's ODE function to simulate my physiological models. The MATLAB mannual recommend it. Although I found its content very useful for me, it is too much mathematics. Maybe it is the best book for mathematics major, but not for a non-mathematics major. As a Engineering major, I even find it difficult to read sometimes. I've got the book about two years, but have not finished to read it yet.