Convergence of Lobatto-type Runge-Kutta methods for partitioned differential-algebraic systems of index 2

被引：1

作者：

Sato Martin de Almagro, Rodrigo T. ^{[1
]}

机构：

[1] Friedrich Alexander Univ Erlangen Nurnberg FAU, Lehrstuhl Tech Dynam, Immerwahrstr 1, Erlangen, Germany

来源：

BIT NUMERICAL MATHEMATICS | 2022年 / 62卷 / 01期

关键词：

Geometric integration; Nonholonomic mechanics; Index; 2; DAEs; Partitioned Runge– Kutta;

D O I：

10.1007/s10543-021-00871-2

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

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.

引用

页码：45 / 67

页数：23

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