Accession Number : AD0734139

Title :   Remarks on Singular Perturbations with Turning Points.

Descriptive Note : Technical rept.,

Corporate Author : WISCONSIN UNIV MADISON DEPT OF COMPUTER SCIENCES

Personal Author(s) : Kreiss,Heinz Otto ; Parter,Seymour V.

Report Date : JAN 1971

Pagination or Media Count : 47

Abstract : Consider boundary value problems for the differential equations (epsilon)(y double primed) + f(x,epsilon)y prime + g(x,epsilon)y = O where f(x,epsilon)x < O for x not =O. Let the set(y(x,epsilon sub n)) be convergent to (y bar)(x) as (epsilon sub n) approaches 0(+). It is very rare that y bar(x) not = 0. This report studies this phenomenona. (Author)

Descriptors :   (*BOUNDARY VALUE PROBLEMS, PERTURBATION THEORY), ASYMPTOTIC SERIES, CONVERGENCE, SEQUENCES, NUMERICAL ANALYSIS, INTEGRATION, THEOREMS

Subject Categories : Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE