Introduction to Partial Differential Equations.: A Computational Approach (Texts in Applied Mathematics) [Hardcover]

Aslak Tveito (Author), Ragnar Winther (Author)

Book Description

ISBN-10: 0387983279 | ISBN-13: 978-0387983271 | Publication Date: July 24, 1998 | Edition: 1

This book teaches the basic methods of partial differential equations and introduces related important ideas associated with the analysis of numerical methods for those partial differential equations. Standard topics such as separation of variables, Fourier analysis, maximum principles and energy estimates are included. Numerical methods are introduced in parallel to the classical theory. The numerical experiments are used to illustrate properties of differential equations and theory for finite difference approximations is developed. Numerical methods are included in the book to show the significance of computations in partial differential equations and to illustrate the strong interaction between mathematical theory and the development of numerical methods. Great care has been taken throughout the book to seek a sound balance between the analytical and numerical techniques. The authors present the material at an easy pace with well-organized exercises ranging from the straightforward to the challenging. In addition, special projects are included, containing step by step hints and instructions, to help guide students in the correct way of approaching partial differential equations. The text would be suitable for advanced undergraduate and graduate courses in mathematics and engineering. Necessary prerequisites for this text are basic calculus and linear algebra. Some elementary knowledge of ordinary differential equations is also preferable.

Editorial Reviews

Review

From the reviews:

"Presents an introductory course to study partial differential equations especially from the computational point of view. … At the end of each chapter the reader can find a very good selection of fine exercises or projects ... . The language of the book is simple and easy to read which will be highly appreciated by its readers. The book can be very useful for undergraduate and graduate students in mathematics and engineering." (Angela Handlovicová, Zentralblatt MATH, 1063, 2005)

--This text refers to an alternate Hardcover edition.

Product Details

• Hardcover: 412 pages
• Publisher: Springer; 1 edition (July 24, 1998)
• Language: English
• ISBN-10: 0387983279
• ISBN-13: 978-0387983271
• Product Dimensions: 9.6 x 6.4 x 0.9 inches
• Shipping Weight: 1.6 pounds
• Average Customer Review: 4.0 out of 5 stars  See all reviews (1 customer review)
• Amazon Best Sellers Rank: #4,146,995 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

8 of 8 people found the following review helpful:

4.0 out of 5 stars Well written, motivational and rigorous., February 11, 2002

By 

Håvard Wall (OSLO Norway) - See all my reviews

This review is from: Introduction to Partial Differential Equations.: A Computational Approach (Texts in Applied Mathematics) (Hardcover)

This book cover the basics of partial differential equations. It's well written, motivational, and balanced rigorous. It contains a lot of good exercises which is a necessity for a beginner in this field. I read this book during a university course in the subject. I struggled. But in my opinion this book is pretty close to the ideal presented by Einstein: "Everything should be made as simple as possible, but no simpler".