Asymptotic and Perturbational Methods

(online textbook for APM 441)

Victor Ivrii

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.