Asymptotic and Perturbational Methods
(online textbook for APM 441)
Table of Contents
Preliminaries
Chapter 1. Introduction
Chapter 2. Asymptotic expansion of integrals
Chapter 3. Local Methods
Chapter 4. Perturbation methods for ODEs
Chapter 5. Semiclassical and High Frequency Asymptotics
Chapter 6. WKB in dimension d=1
Chapter 7. WKB in dimension d>1
Chapter 8. Multiple-scale Analysis
Extra textbooks may be useful.
- Asymptotic Methods,
Henry van Roessel and John C. Bowman, University of
Alberta, (2012).
- Advanced Mathematical Methods for Scientists and Engineers;
Asymptotic Methods and Perturbation Theory, by Carl M. Bender
and Steven A. Orszag, 1st edition, McGraw-Hill, 1978, 2nd ed.,
Springer 1999.
- Applied Asymptotic Analysis, by Peter Miller, AMS, Grad. Studies
in Math, Vol 75.