Articles liés à Singular Perturbation Theory

Singular Perturbation Theory - Couverture souple

Skinner, Lindsay A. A.

 
9781441999573: Singular Perturbation Theory

Synopsis

This book is a rigorous presentation of the method of matched asymptotic expansions, the primary tool for attacking singular perturbation problems. A knowledge of conventional asymptotic analysis is assumed. The first chapter introduces the theory and is followed by four chapters of applications to ordinary differential equation problems of increasing complexity. Exercises are included as well as several Maple programs for computing the terms of the various asymptotic expansions that arise in solving the problems.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

This book is a rigorous presentation of the method of matched asymptotic expansions, the primary tool for attacking singular perturbation problems. A knowledge of conventional asymptotic analysis is assumed. The first chapter introduces the theory and is followed by four chapters of applications to ordinary differential equation problems of increasing complexity. Exercises are included as well as several Maple programs for computing the terms of the various asymptotic expansions that arise in solving the problems.

Présentation de l'éditeur

The key feature of this volume is its rigorous development of the method of matched asymptotic expansions, the primary tool for analyzing singular perturbation problems. Yet it also covers the basic theory and applications of symbolic programming.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.