Numerical Solution of Ordinary Differential Equations [Hardcover]

Kendall Atkinson (Author), Weimin Han (Author), David E. Stewart (Author)

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Product Details

Hardcover: 252 pages
Publisher: Wiley (Jan 27 2009)
Language: English
ISBN-10: 047004294X
ISBN-13: 978-0470042946
Product Dimensions: 16.5 x 2.3 x 23.9 cm
Shipping Weight: 522 g
Amazon Bestsellers Rank: #1,754,036 in Books (See Top 100 in Books)

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Review

"An accompanying Web site offers access to more than ten MATLAB programs." (CHOICE, December 2009)

Product Description

A concise introduction to numerical methodsand the mathematical framework neededto understand their performance

Numerical Solution of Ordinary Differential Equations presents a complete and easy-to-follow introduction to classical topics in the numerical solution of ordinary differential equations. The book's approach not only explains the presented mathematics, but also helps readers understand how these numerical methods are used to solve real-world problems.

Unifying perspectives are provided throughout the text, bringing together and categorizing different types of problems in order to help readers comprehend the applications of ordinary differential equations. In addition, the authors' collective academic experience ensures a coherent and accessible discussion of key topics, including:

Euler's method
Taylor and Runge-Kutta methods
General error analysis for multi-step methods
Stiff differential equations
Differential algebraic equations
Two-point boundary value problems
Volterra integral equations

Each chapter features problem sets that enable readers to test and build their knowledge of the presented methods, and a related Web site features MATLAB® programs that facilitate the exploration of numerical methods in greater depth. Detailed references outline additional literature on both analytical and numerical aspects of ordinary differential equations for further exploration of individual topics.

Numerical Solution of Ordinary Differential Equations is an excellent textbook for courses on the numerical solution of differential equations at the upper-undergraduate and beginning graduate levels. It also serves as a valuable reference for researchers in the fields of mathematics and engineering.

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Inside This Book (Learn More)

First Sentence
Differential equations are among the most important mathematical tools used in producing models in the physical sciences, biological sciences, and engineering. Read the first page