Solving Ordinary Differential Equations I: Nonstiff Problems [Hardcover]

Ernst Hairer (Author), Syvert P. N�rsett (Author), Gerhard Wanner (Author)

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Product Details

Hardcover: 544 pages
Publisher: Springer; 2nd rev. ed. 1993. Corr. 3rd printing edition (Nov 14 2011)
Language: German
ISBN-10: 3540566708
ISBN-13: 978-3540566700
Product Dimensions: 24 x 16.4 x 3.6 cm
Shipping Weight: 921 g
Amazon Bestsellers Rank: #1,252,128 in Books (See Top 100 in Books)

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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

Product Description

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.

Inside This Book (Learn More)

First Sentence
A differential equation of first order is an equation of the form y' = f(x,y) (1.1) with a given function f(x,y). Read the first page

Browse Sample Pages
Front Cover | Copyright | Table of Contents | Excerpt | Index

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Amazon.com: 3.0 out of 5 stars (1 customer review)

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 - Published on Amazon.com

This review is from: Solving Ordinary Differential Equations (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.

› Go to Amazon.com to see the review 3.0 out of 5 stars