Finite Difference Schemes and Partial Differential Equations

By John C. Strikwerda

This book combines practical aspects of implementation with theoretical analysis of finite difference schemes and partial differences schemes. There is a thorough discussion of the concepts of convergence, consistency, and stability for time-dependent equations. The von Neumann analysis of stability is developed rigorously using the methods of Fourier analysis. Fourier analysis is used throughout the text, providing a unified treatment of the basic concepts and results. A complete proof of the Lax-Richtmyer theorem for equations with constant coefficients is included.

• Format: Hardcover
• Language: English
• ISBN: 0412072211
• ISBN13: 9780412072215
• Release Date: September 1989
• Publisher: Springer
• Length: 392 Pages
• Weight: 1.40 lbs.
• Dimensions: 9.8" x 1.0" x 7.0"
• Age Range: 18 years and up
• Grade Range: Postsecondary

Customer Reviews

Math Student

The book was in perfect condition for a great price. Exactly what I expected.

One of the best books ever

This book deals with the broad range of PDE problems with wonderful numerical algorithms. I was crushed on the 1st edition because it was really well-balanced (i.e.,just necessary math but full coverage of real world interests) and well-organized book. This book (the 2nd edition) includes more pictures and examples which help the reader to undersand the important concepts with ease. Sometimes, the brief sentences seem to be too concise to the fist reader, but that is not true. Once the reader understand the previous stuff, he or she does not need to look other books to understand the next stuff. (Of cousre, this claim might not be applied to undergrads, because this book is inteneded to the first year grads. See preface.) This book can be used as a text book in math or computer science class, but to engineers like me, this book is amzing even to the researchers who are closely got involved with physical modeling or simulation. It is very difficult to meet good people, and it seems to be lucky if we meet those kinds of people. This is also true for us to meet well-written books. I feel I am very lucky to find this book.