A technique for the numerical verification of asymptotic expansions

被引：33

作者：

Bosley, DL

机构：

[1] Harvey Mudd Coll, Claremont, CA

来源：

SIAM REVIEW | 1996年 / 38卷 / 01期

关键词：

numerical verification; asymptotic expansions; perturbation methods;

D O I：

10.1137/1038006

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A technique is presented that uses numerical solutions to verify the order of the accuracy of an asymptotic expansion for several types of problems. This technique may be introduced in any beginning course on asymptotic or perturbation methods, but is equally suited to verifying advanced asymptotic results.

引用

页码：128 / 135

页数：8

共 8 条

[1]

[Anonymous], ORDINARY DIFFERENTIA

[2]

Bender C. M., 1999, Advanced Mathematical Methods for Scientists and Engineers, V1

[3]

BLEISTEIN N, 1986, ASYMPTOTIC EXPANSION

[4]

BOISVERT RF, 1988, CMLIB V 3 0 NIST COR