Runge-Kutta collocation methods for differential-algebraic equations of indices 2 and 3

被引：0
|
作者：
L. M. Skvortsov
机构：
[1] Bauman State Technical University,
来源：
Computational Mathematics and Mathematical Physics | 2012年 / 52卷
关键词：
differential-algebraic equations; differential index; implicit Runge-Kutta methods; order reduction phenomenon;
D O I：
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中图分类号：
学科分类号：
摘要：
Stiffly accurate Runge-Kutta collocation methods with explicit first stage are examined. The parameters of these methods are chosen so as to minimize the errors in the solutions to differential-algebraic equations of indices 2 and 3. This construction results in methods for solving such equations that are superior to the available Runge-Kutta methods.
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页码：1373 / 1383
页数：10
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