- Hardcover: 440 pages
- Publisher: Wiley; 1 edition (July 9 2003)
- Language: English
- ISBN-10: 0471967580
- ISBN-13: 978-0471967583
- Product Dimensions: 23.5 x 16.1 x 2.9 cm
- Shipping Weight: 821 g
- Amazon Bestsellers Rank: #2,248,540 in Books (See Top 100 in Books)
- See Complete Table of Contents
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Product Details |
Product Description
Review
“I enjoyed reading this book. It is well written and quite approachable.” (Mathematical Reviews, 2004c)
"…covers now all the material that is modern standard in this field… belongs into any mathematical library..." (Zentralblatt Math, Vol.1040, No.09, 2004)
Product Description
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.
"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.
Inside This Book
(Learn More)
First Sentence
As essential tools in scientific modelling, differential equations are familiar to every educated person. Read the first page
Front Cover | Copyright | Table of Contents | Excerpt | Index | Back Cover
As essential tools in scientific modelling, differential equations are familiar to every educated person. Read the first page
Explore More
Concordance
Browse Sample PagesConcordance
Front Cover | Copyright | Table of Contents | Excerpt | Index | Back Cover
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Customer Reviews
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Most Helpful Customer Reviews on Amazon.com (beta)
Amazon.com:
5.0 out of 5 stars (2 customer reviews)
3 of 3 people found the following review helpful
5.0 out of 5 stars
The Definitive Reference for ODEs, April 10 2009
By Antony N. Beris - Published on Amazon.com
This review is from: Numerical Methods for Ordinary Differential Equations (Hardcover)
An in-depth analysis from one of the best experts in the field of the latest developments in the numerical solution of ODEs with special emphasis on the Runge-Kutta methods, although Linear Multistep Methods and General Linear Methods are also thoroughly described. A must read for any researcher with interest on the numerical solution of initial value problems.
3 of 3 people found the following review helpful
5.0 out of 5 stars
Useful, Practical, Fascinating Book by A Well-Known Authority and Teacher, Feb 21 2009
By Mersault - Published on Amazon.com
This review is from: Numerical Methods for Ordinary Differential Equations (Hardcover)
This is the Second Edition of a classic work on solving differential equations numerically. The well-known author and teacher has published pathfinding papers on this topic from the early 1960's to the present. The "Butcher Tableau" is the standard short-hand display for Runge-Kutta methods.The book sets the table by describing a set of standard problems for numerical solution. Then, as new methods are described their efficacy on the standard problems is graphed and tabulated.
Explicit and implicit Runge-Kutta Methods, Linear Multistep Methods, Taylor Series Methods and General Linear Methods are thoroughly described from the viewpoint of accuracy and stability. Symplectic Runge-Kutta methods, 'Almost' Runge-Kutta methods and Inverse Runge-Kutta Methods are among the additional covered topics of current interest.
Practical issues for the implementer of algorithms based on these methods, such as error estimation and step-size control, are well-covered. References to the topic's literature are also outstanding.
To use the book, a background in calculus and numerical analysis is essential.
Current topics in this field are well-represented. The author has taught many of the present class of researchers, and the clarity of a great teacher is apparent.
Web resources and problems at the end of each section enhance the book's value for a semester-long course.
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