INTEGRATION ACROSS DISCONTINUITIES IN ORDINARY DIFFERENTIAL-EQUATIONS USING POWER-SERIES

被引：2

作者：

HALIN, HJ

机构：

[1] ETH (Swiss Federal Institute of Technology), CH-8092 Zürich

来源：

SIMULATION | 1979年 / 32卷 / 02期

关键词：

digital simulation (continuous systems); mathematical techniques; numerical inte gration;

D O I：

10.1177/003754977903200202

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

Numerical integration of ordinary differential equa tions containing nonanalytical functions is error- prone and time-consuming. Because of this problem, the simulation of the hydraulic servo drive of a machine tool produced unsatisfactory results. How ever, applying power-series expansions provided fast and accurate solutions. Due to its pieceuise semi- analytic character, this method is particularly suited to handling discontinuities. Although it re quires the calculation of higher derivatives by means of recursion formulas, the power-series method can be completely automated. A simulation package for this purpose is currently under development. Two examples compare its performance with that of Runge-Kutta- Merson integration. © 1979, Sage Publications. All rights reserved.

引用

页码：33 / 45

页数：13

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