About the book
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.
Editions of Numerical Solution of Ordinary Differential Equations
- Hardcover
- ISBN 9780470042946
- EBook
- ISBN 9781118164495
- EBook
- ISBN 9781118164525
Read an Excerpt
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.
Frequently Asked Questions
What is Numerical Solution of Ordinary Differential Equations about?
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.
What core themes, tropes, or subjects are explored in Numerical Solution of Ordinary Differential Equations?
Mathematics and Science > Mathematics > Calculus and mathematical analysis > Differential calculus and equations
Where can I read a sample of Numerical Solution of Ordinary Differential Equations?
You can read an official preview of the few pages here https://www.book2look.com/book/9780470042946
Is Numerical Solution of Ordinary Differential Equations part of a series, and can it be read as a standalone?
Yes it is a part of series Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts
Who is/are the Author/s of the book Numerical Solution of Ordinary Differential Equations?
David E. Stewart, Kendall Atkinson, Weimin Han
Who is the Publisher of the book Numerical Solution of Ordinary Differential Equations?
Wiley
What are the ISBN numbers for the physical and digital editions?
Numerical Solution of Ordinary Differential Equations is available as hardcover(ISBN 9780470042946) and ebook(ISBN 9781118164495) and ebook(ISBN 9781118164525)
Where can I buy Numerical Solution of Ordinary Differential Equations online or support local independent bookshops?
You can buy Numerical Solution of Ordinary Differential Equations from below
Where can I buy Numerical Solution of Ordinary Differential Equations?