Half-explicit Runge-Kutta methods with explicit stages for differential-algebraic systems of index 2

1998 ◽  
Vol 38 (3) ◽  
pp. 415-438 ◽  
Author(s):  
M. Arnold
Keyword(s):  
Algebraic Systems ◽  
Index 2 ◽  
Runge Kutta

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

2021 ◽  
Author(s):  
Rodrigo T. Sato Martín de Almagro
Keyword(s):  
Numerical Scheme ◽  
Algebraic Systems ◽  
Index 2 ◽  
Runge Kutta

AbstractIn 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.

scholarly journals Stability of periodic solutions of index-2 differential algebraic systems

2003 ◽  
Vol 279 (2) ◽  
pp. 475-494 ◽  
Author(s):  
René Lamour ◽  
Roswitha März ◽  
Renate Winkler
Keyword(s):  
Periodic Solutions ◽  
Algebraic Systems ◽  
Index 2
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