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：

暂无

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.

引用

页码：1373 / 1383

页数：10

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