Non-Stiff Integrators for Differential-Algebraic Systems of Index 2

Kurzfassung

Non-stiff differential-algebraic equations (DAEs) can be solved efficiently by partitioned methods that combine well-known non-stiff integrators from ODE theory with an implicit method to handle the algebraic part of the system. In the present paper we consider partioned one-step and partioned multi-step methods for index-2 DAEs in Hessenberg form and the application of these methods to constrained mechanical systems. The methods are presented from an unified point of view. The comparison of various classes of methods is completed by numerical tests for benchmark problems from the literature.