Variational integrators for constrained dynamical systems

DOI10.1002/zamm.200700173zbMath1153.70004OpenAlexW2111805435MaRDI QIDQ5502680

Jerrold E. Marsden, Sigrid Leyendecker, Michael Ortiz

Publication date: 8 January 2009

Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)

Full work available at URL: http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.218.7972

zbMATH Keywords

differential algebraic equationsflexible multibody dynamicsdiscrete null space method

Mathematics Subject Classification ID

Computational methods for problems pertaining to mechanics of particles and systems (70-08) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Dynamics of multibody systems (70E55)

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Cites Work

• \(\Gamma \)-convergence of variational integrators for constrained systems
• Manifolds, tensor analysis, and applications.
• Asynchronous variational integrators
• The numerical solution of differential-algebraic systems by Runge-Kutta methods
• Numerical Solution of Nonlinear Differential Equations with Algebraic Constraints II: Practical Implications
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