Differential Equations

Singular-Perturbation Theory

Name: Singular-Perturbation Theory
Brand: Cambridge University Press
SKU: 9780521300421
Price: 20812.00 INR
Availability: InStock
ISBN: 9780521300421

SINGULAR-PERTURBATION THEORY

Contributor(s): Smith, Donald R. Author , Smith, Donald R. Author Format: Hardback

Hardback · ISBN 9780521300421

₹20,812 2%

₹21,285

Inclusive of GST and other taxes

100% Quality Assurance

No Account Creation Required

Fast Delivery

Secured Transactions

Arriving at your doorstep in 10-15 days

Our logisitcs team will make sure everyitem is delivered safely

Key Specifications

ISBN	9780521300421
Subtitle	SINGULAR-PERTURBATION THEORY
Publisher	Cambridge University Press
Publication date	October 1985
Language	English
MRP	£165.00 GBP
Page count	520
Item weight	205 g

This book presents an introduction to singular-perturbation problems, problems which depend on a parameter in such a way that solutions behave non-uniformly as the parameter tends toward some limiting value of interest. The author considers and solves a variety of problems, mostly for ordinary differential equations. He constructs (approximate) solutions for oscillation problems, using the methods of averaging and of multiple scales. For problems of the nonoscillatory type, where solutions exhibit 'fast dynamics' in a thin initial layer, he derives solutions using the O'Malley/Hoppensteadt method and the method of matched expansions. He obtains solutions for boundary-value problems, where solutions exhibit rapid variation in thin layers, using a multivariable method. After a suitable approximate solution is constructed, the author linearizes the problem about the proposed approximate solution, and, emphasizing the use of the Banach/Picard fixed-point theorem, presents a study of the linearization. This book will be useful to students at the graduate and senior undergraduate levels studying perturbation theory for differential equations, and to pure and applied mathematicians, engineers, and scientists who use differential equations in the modelling of natural phenomena.

Singular-Perturbation Theory

Key Specifications

Smith, Donald R. Author

Smith, Donald R. Author

Related titles