**Proceedings of Symposia in Applied Mathematics**

Volume: 56;
1999;
187 pp;
Hardcover

MSC: Primary 34; 35;

Print ISBN: 978-0-8218-0929-7

Product Code: PSAPM/56

List Price: $53.00

Individual Member Price: $42.40

**Electronic ISBN: 978-0-8218-9271-8
Product Code: PSAPM/56.E**

List Price: $53.00

Individual Member Price: $42.40

# Analyzing Multiscale Phenomena Using Singular Perturbation Methods

Share this page *Edited by *
*Jane Cronin; Robert E. O’Malley, Jr.*

To understand multiscale phenomena, it is essential to employ asymptotic methods to construct approximate solutions and to design effective computational algorithms. This volume consists of articles based on the AMS Short Course in Singular Perturbations held at the annual Joint Mathematics Meetings in Baltimore (MD). Leading experts discussed the following topics which they expand upon in the book: boundary layer theory, matched expansions, multiple scales, geometric theory, computational techniques, and applications in physiology and dynamic metastability. Readers will find that this text offers an up-to-date survey of this important field with numerous references to the current literature, both pure and applied.

#### Readership

Advanced undergraduates, graduate students, and applied mathematicians interested in ordinary differential equations.

# Table of Contents

## Analyzing Multiscale Phenomena Using Singular Perturbation Methods

- Contents vii8 free
- Preface ix10 free
- Figuring out singular perturbations after a first course in ODEs 112 free
- The method of multiple scales 2334
- Computational methods for singularly perturbed systems 4758
- An introduction to geometric methods and dynamical systems theory for singular perturbation problems 8596
- Analysis of cellular oscillations 133144
- Exponential asymptotics and convection-diffusion-reaction models 151162
- Index 185196