A NUMERICAL-METHOD FOR SOLVING SYSTEMS OF LINEAR ORDINARY DIFFERENTIAL-EQUATIONS WITH RAPIDLY OSCILLATING SOLUTIONS

被引：3
|
作者：
BERNSTEIN, IB [1 ]
BROOKSHAW, L [1 ]
FOX, PA [1 ]
机构：
[1] YALE UNIV,CTR SOLAR & SPACE RES,NEW HAVEN,CT 06511
来源：
JOURNAL OF COMPUTATIONAL PHYSICS | 1992年 / 98卷 / 02期
基金：
美国国家航空航天局;
关键词：
Ordinary differential equations;
D O I：
10.1016/0021-9991(92)90142-L
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
A numerical method is presented which allows the accurate and efficient solution of systems of linear equations of the form dzi(x)/dx = Σj = 1N1 Aij(x)zj(x), i= 1, 2, ..., N, when the solutions vary rapidly compared with the Aij(x). The method consists of numerically developing a set of basis solutions characterized by new dependent variables which are slowly varying. These solutions can be accurately computed with an overhead that is substantially independent of the smallness of the scale length characterizing the solutions. Examples are given. © 1992.
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页码：269 / 284
页数：16
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