Quasi-Static State Analysis of Differential, Difference, Integral, and Gradient Systems - Couverture souple

Hoppensteadt, Frank C.

Couverture souple

ISBN 10 : 0821852698 ISBN 13 : 9780821852699

Editeur : American Mathematical Society, 2010

Synopsis

This book is based on a course on advanced topics in differential equations given in Spring 2010 at the Courant Institute of Mathematical Sciences. It describes aspects of mathematical modeling, analysis, computer simulation, and visualization in the mathematical sciences and engineering that involve singular perturbations. There is a large literature devoted to singular perturbation methods for ordinary and partial differential equations, but there are not many studies that deal with difference equations, Volterra integral equations, and purely nonlinear gradient systems where there is no dominant linear part. Designed for a one-semester course for students in applied mathematics, it is the purpose of this book to present sufficient rigorous methods and examples to position the reader to investigate singular perturbation problems in such equations. Titles in this series are co-published with the Courant Institute of Mathematical Sciences at New York University.|This book is based on a course on advanced topics in differential equations given in Spring 2010 at the Courant Institute of Mathematical Sciences. It describes aspects of mathematical modeling, analysis, computer simulation, and visualization in the mathematical sciences and engineering that involve singular perturbations. There is a large literature devoted to singular perturbation methods for ordinary and partial differential equations, but there are not many studies that deal with difference equations, Volterra integral equations, and purely nonlinear gradient systems where there is no dominant linear part. Designed for a one-semester course for students in applied mathematics, it is the purpose of this book to present sufficient rigorous methods and examples to position the reader to investigate singular perturbation problems in such equations. Titles in this series are co-published with the Courant Institute of Mathematical Sciences at New York University.

Détails de l'édition

• Éditeur: American Mathematical Society
• Date d'édition: 2010
• Langue: anglais
• ISBN 10: 0821852698
• ISBN 13: 9780821852699
• Reliure: Broché
• Nombre de pages: 163
• Coordonnées du fabricant: non disponible
• Personne responsable: non disponible