A class of linearly-implicit Runge-Kutta methods for multibody systems

DOI10.1016/S0168-9274(96)00042-6zbMath0868.65046MaRDI QIDQ5961753

Rüdiger Weiner, Joerg Wensch, Karl Strehmel

Publication date: 14 July 1997

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

zbMATH Keywords

convergenceconsistencynumerical examplesdifferential algebraic equationsmultibody systemsindex 3partitioned linearly-implicit Runge-Kutta methods

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Explicit solutions, first integrals of ordinary differential equations (34A05) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) (n)-body problems (70F10)

Related Items

A Survey on Numerical Methods for the Simulation of Initial Value Problems with sDAEs, High order linearly implicit methods for evolution equations, Linearly implicit time integration methods in real-time applications: DAEs and stiff ODEs, Linearly implicit GARK schemes, Krylov-ROW methods for DAEs of index 1 with applications to viscoelasticity, An eight stage fourth order partitioned Rosenbrock method for multibody systems in index-3 formulation

Uses Software

• MBSPACK

Cites Work

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