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.
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页码：45 / 62
页数：18
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