Accession Number : AD0787833

Title :   Introduction to Singular Perturbations. Volume 14. Applied Mathematics and Mechanics.

Descriptive Note : Interim rept.,

Corporate Author : NEW YORK UNIV N Y COURANT INST OF MATHEMATICAL SCIENCES

Personal Author(s) : O'Malley,Robert E. , Jr

Report Date : 1974

Pagination or Media Count : 215

Abstract : This book introduces singular perturbation techniques by showing the reader how to obtain asymptotic solutions to several important classes of problems. It concentrates principally on boundary value problems for linear and nonlinear differential equations and includes a detailed treatment of specific examples arising in chemical kinetics and optimal control. Discussion is motivated throughout by simple examples. Particular heuristic ideas that underlie the techniques are developed. The author makes frequent reference to the current literature for applications and generalizations of the topics discussed.

Descriptors :   *Perturbation theory, *Applied mathematics, Boundary value problems, Difference equations, Theorems, Textbooks

Subject Categories : Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE