Perturbations : theory and methods
Author(s)
Bibliographic Information
Perturbations : theory and methods
Wiley, c1991
Available at / 33 libraries
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Research Institute for Economics & Business Administration (RIEB) Library , Kobe University図書
517-298s081000084377*
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
DC19:515/M9412070190923
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Note
"A Wiley-Interscience publication."
Includes bibliographical references
Description and Table of Contents
Description
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.
Table of Contents
- 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.
by "Nielsen BookData"