Rosenbrock-type methods applied to discontinuous differential systems

被引：13
|
作者：
Berardi, Marco [1 ]
机构：
[1] Univ Bari, Dipartimento Matemat, Via E Orabona 4, I-70125 Bari, Italy
来源：
MATHEMATICS AND COMPUTERS IN SIMULATION | 2014年 / 95卷
关键词：
Discontinuous differential systems; Rosenbrock methods; Continuous extension; Event detection; One-sided methods; Discontinuous singularly perturbed systems; SLIDING-MODE CONTROL; CONTINUOUS EXTENSIONS; EVENT LOCATION; SURFACE; EQUATIONS; ODES; IVPS;
D O I：
10.1016/j.matcom.2013.05.006
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
In this paper we study the numerical solution of a discontinuous differential system by a Rosenbrock method. We also focus on one-sided approach in the context of Rosenbrock schemes, and we suggest a technique based on the use of continuous extension, in order to locate the event point, with an application to discontinuous singularly perturbed systems. (C) 2013 Published by Elsevier B.V. on behalf of IMACS.
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页码：229 / 243
页数：15
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