A NEW NUMERICAL-METHOD FOR THE INTEGRATION OF HIGHLY OSCILLATORY 2ND-ORDER ORDINARY DIFFERENTIAL-EQUATIONS

被引：25
|
作者：
DENK, G
机构：
[1] Technische Universität München, Mathematisches Institut
来源：
APPLIED NUMERICAL MATHEMATICS | 1993年 / 13卷 / 1-3期
关键词：
ORDINARY DIFFERENTIAL EQUATIONS; OSCILLATORY SOLUTIONS; MULTISTEP METHOD; CONSISTENCY; CONVERGENCE; ABSOLUTE STABILITY;
D O I：
10.1016/0168-9274(93)90131-A
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper presents a new discretization scheme for the efficient integration of highly oscillatory second-order ordinary differential equations. The discretization scheme is based on the principle of coherence proposed by Hersch. The analysis of the formulas reveals properties such as absolute stability and P-stability which indicate the ability of the method to handle highly oscillatory_differential equations. This is confirmed by numerical results.
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页码：57 / 67
页数：11
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