Perturbations : theory and methods
著者
書誌事項
Perturbations : theory and methods
Wiley, c1991
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注記
"A Wiley-Interscience publication."
Includes bibliographical references
内容説明・目次
内容説明
This is a course in perturbation theory for the solution of algebraic and differential equations, especially ordinary differential equations. It covers all of the methods commonly used in both regular and singular perturbations: Taylor series, Lindstedt series, strained parameters, multiple scales, averaging, matching and WKB methods. The text pays great attention to understanding the meaning of the results, as it is extremely easy to make mistakes and draw invalid conclusions from a perturbation analysis.
目次
- INTRODUCTION TO PERTURBATION THEORY
- Root Finding
- Regular Perturbations
- Direct Error Estimation
- OSCILLATORY PHENOMENA
- Periodic Solutions and Lindstedt Series
- Multiple Scales
- Averaging
- TRANSITION LAYERS
- Initial Layers
- Boundary Layers
- Methods of the WKB Type
- Appendices
- Symbol Index
- Index.
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