Structure Preservation for Constrained Dynamics with Super Partitioned Additive Runge--Kutta Methods

DOI10.1137/S1064827595293223zbMath0923.65044OpenAlexW2138475942MaRDI QIDQ4210421

Laurent O. Jay

Publication date: 21 September 1998

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s1064827595293223

zbMATH Keywords

stabilityconvergencenumerical experimentspendulumHamiltonian systemsholonomic constraintsRunge-Kutta methodsmultibody dynamicsdifferential algebraic equationsymplectic integrationconstrained dynamical systemsLobatto methods

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) Hamilton's equations (70H05) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

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Uses Software

• MBSPACK