Introduction to perturbation methods / Mark H. Holmes.
This book is an introductory graduate text dealing with many of the perturbation methods currently used by applied mathematicians, scientists, and engineers. The author has based his book on a graduate course he has taught several times over the last ten years to students in applied mathematics, eng...
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| Online Access: |
Full Text (via Springer) |
|---|---|
| Main Author: | |
| Format: | eBook |
| Language: | English |
| Published: |
New York :
Springer-Verlag,
[1995]
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| Series: | Texts in applied mathematics ;
20. |
| Subjects: |
Table of Contents:
- 1. Introduction to asymptotic approximations
- 2. Matched asymptotic expansions
- 3. Multiple scales
- 4. The WKB and related methods
- 5. The method of homogenization
- 6. Introduction to bifurcation and stability
- A1. Solution and properties of transition layer equations
- A2. Asymptotic approximations of integrals
- A3. Numerical solution of nonlinear boundary-value problems.