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Convergence of Lobatto-type Runge–Kutta methods for partitioned differential-algebraic systems of index 2
BIT Numerical Mathematics ( IF 1.5 ) Pub Date : 2021-04-26 , DOI: 10.1007/s10543-021-00871-2 Rodrigo T. Sato Martín de Almagro
中文翻译:
Lobatto型Runge-Kutta方法在索引为2的分区微分代数系统中的收敛性
更新日期:2021-04-27
BIT Numerical Mathematics ( IF 1.5 ) Pub Date : 2021-04-26 , DOI: 10.1007/s10543-021-00871-2 Rodrigo T. Sato Martín de Almagro
In this paper a numerical scheme for partitioned systems of index 2 DAEs, such as those arising from nonholonomic mechanical problems, is proposed and its order for a certain class of Runge–Kutta methods we call of Lobatto-type is proven.
中文翻译:
Lobatto型Runge-Kutta方法在索引为2的分区微分代数系统中的收敛性
在本文中,提出了一种针对索引为2的DAE的分区系统(例如由非完整力学问题引起的系统)的数值方案,并证明了对于一定类的Runge–Kutta方法(称为Lobatto型)的顺序。