Introduction to partial differential equations a computational approach /
"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 ene...
| Main Author: | Tveito, Aslak, 1961- |
|---|---|
| Other Authors: | Winther, Ragnar., SpringerLink (Online service) |
| Format: | eBook |
| Language: | English |
| Published: |
Berlin ; New York :
Springer,
©2005.
Berlin ; New York : [2005] |
| Physical Description: |
1 online resource (xv, 392 pages) : illustrations. |
| Edition: | Corr. 2nd print. |
| Series: |
Texts in applied mathematics ;
29. |
| Subjects: |
Table of Contents:
- Setting the scene
- Two-point boundary value problems
- The heat equation
- Finite difference schemes for the heat equation
- The wave equation
- Maximum principles
- Poisson's equation in two space dimensions
- Orthogonality and general Fourier series
- Convergence of Fourier series
- The heat equation revisited
- Reaction-diffusion equations
- Applications of the Fourier transform.