Specialized Partitioned Additive Runge–Kutta Methods for Systems of Overdetermined DAEs with Holonomic Constraints

DOI10.1137/060667475zbMath1161.65067OpenAlexW2064151036MaRDI QIDQ3532584

Laurent O. Jay

Publication date: 28 October 2008

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/060667475

zbMATH Keywords

Hamiltonian systemsdifferential-algebraic equationsholonomic constraintsRunge-Kutta methodsLagrangian systemsvariational integratorssymplecticnessGauss coefficientsLobatto coefficientsSPARK methods

Mathematics Subject Classification ID

Hamilton's equations (70H05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical methods for differential-algebraic equations (65L80) Holonomic systems related to the dynamics of a system of particles (70F20) Lagrange's equations (70H03)

Related Items (5)

Symplectic P-stable additive Runge-Kutta methods ⋮ Construction and analysis of higher order variational integrators for dynamical systems with holonomic constraints ⋮ Constructing time integration with controllable errors for constrained mechanical systems ⋮ Variational collision integrator for polymer chains ⋮ The numerical influence of additional parameters of inertia representations for quaternion-based rigid body dynamics

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