THE IMPLICIT MIDPOINT RULE APPLIED TO DISCONTINUOUS DIFFERENTIAL-EQUATIONS

被引：17

作者：

KASTNERMARESCH, AE

机构：

[1] Mathematisches Institut, Universität Bayreuth, Bayreuth, D-W-8580

来源：

COMPUTING | 1992年 / 49卷 / 01期

关键词：

IMPLICIT MIDPOINT RULE; DISCONTINUOUS DIFFERENTIAL EQUATIONS; DIFFERENTIAL INCLUSIONS; STIFF DIFFERENTIAL EQUATIONS;

D O I：

10.1007/BF02238649

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

The numerical solution of initial value problems with state-discontinuous right-hand sides by the well known implicit midpoint rule is discussed. The differential equations are transformed into differential inclusions following an approach of Filippov. The results are a theoretical foundation of the numerical treatment of problems arising in vehicle dynamics, mechanical systems with dry and Coulomb friction or population biology. An algorithm together with numerical tests is presented.

引用

页码：45 / 62

页数：18

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