Numerical Solution of Partial Differential Equations
This second edition of a highly successful graduate text presents a complete introduction to partial differential equations and numerical analysis. Revised to include new sections on finite volume methods, modified equation analysis, and multigrid and conjugate gradient methods, the second edition brings the reader up-to-date with the latest theoretical and industrial developments.
First Edition Hb (1995): 0-521-41855-0
First Edition Pb (1995): 0-521-42922-6
- Second edition of well known and respected graduate textbook
- Revision includes new material on multigrid and conjugate gradient methods giving it modern relevance
- Updated problem sets with solutions available from [email protected]
Reviews & endorsements
"...a classic piece of work with which every applied mathematician and engineer should become familiar."
Applied Mechanics Reviews
"Numerical Solution of Partial Differential Equations is one of the best introductory books on the finite difference method available."
MAA Reviews
"First and foremost, the text is very well written. The authors take great care in keeping the presentation at an elementary level...The reader obtains at least a good intuitive understanding of many important concepts of the field."
Jens Lorenz, University of New Mexico, SIAM Review
Product details
April 2005Paperback
9780521607933
294 pages
229 × 152 × 16 mm
0.4kg
134 b/w illus. 50 exercises
Available
Table of Contents
- 1. Introduction
- 2. Parabolic equations in one space variable
- 3. 2-D and 3-D parabolic equations
- 4. Hyperbolic equations in one space dimension
- 5. Consistency, convergence and stability
- 6. Linear second order elliptic equations in two dimensions
- 7. Iterative solution of linear algebraic equations
- Bibliography
- Index.