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.

引用

页码：57 / 67

页数：11

共 17 条

[1]

CHAR BW, 1990, MAPLE, V5

[2] A NOUMEROV-TYPE METHOD WITH MINIMAL PHASE-LAG FOR THE INTEGRATION OF 2ND-ORDER PERIODIC INITIAL-VALUE PROBLEMS .2. EXPLICIT METHOD [J].