Multiple-Scale Expansions for Partial Differential Equations

Lokacija: Beograd (Srbija)
Tema: Matematika
Format: Korišteno

Tekst oglasa

Multiple Scale and Singular Perturbation Methods

Authors: (view affiliations) J. Kevorkian, J. D. Cole

Part of the book series: Applied Mathematical Sciences (AMS, volume 114)

Front Matter

Pages i-viii

PDF

Introduction

Pages 1-35

Limit Process Expansions for Ordinary Differential Equations

Pages 36-117

Limit Process Expansions for Partial Differential Equations

Pages 118-266

The Method of Multiple Scales for Ordinary Differential Equations

Pages 267-409

Near-Identity Averaging Transformations: Transient and Sustained Resonance

Pages 410-521

Multiple-Scale Expansions for Partial Differential Equations

Pages 522-620

Back Matter

Pages 621-633

About this book

This book is a revised and updated version, including a substantial portion of new material, of our text Perturbation Methods in Applied Mathematics (Springer­ Verlag, 1981). We present the material at a level that assumes some familiarity with the basics of ordinary and partial differential equations. Some of the more advanced ideas are reviewed as needed; therefore this book can serve as a text in either an advanced undergraduate course or a graduate-level course on the subject. Perturbation methods, first used by astronomers to predict the effects of small disturbances on the nominal motions of celestial bodies, have now become widely used analytical tools in virtually all branches of science. A problem lends itself to perturbation analysis if it is "close" to a simpler problem that can be solved.

Objavljen:

Cena: 1.000,00 din