An Efficient Newton-Type Iteration for the Numerical Solution of Highly Oscillatory Constrained Multibody Dynamic Systems

DOI10.1137/S1064827596297227zbMath0915.65080OpenAlexW2072713884MaRDI QIDQ4389307

Jeng Yen, Linda R. Petzold

Publication date: 12 May 1998

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

Full work available at URL: https://doi.org/10.1137/s1064827596297227

zbMATH Keywords

convergencenumerical experimentspenduluminitial value problemsdifferential-algebraic equationserror boundmultibody systemsbackward differentiation formuladynamic systemsNewton-type iterationindex-3highly oscillatory systemscoordinate-splitting

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Error bounds for numerical methods for ordinary differential equations (65L70) (n)-body problems (70F10) Dynamical systems and ergodic theory (37-XX)

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Optimal non-linear dimension reduction scheme for classical molecular dynamics ⋮ Kinetic quasi-velocities in unilaterally constrained Lagrangian mechanics with impacts and friction ⋮ The discrete null-space method for the energy-consistent integration of constrained mechanical systems. I: Holonomic constraints ⋮ A time integration algorithm for flexible mechanism dynamics: The DAE \(\alpha\)-method ⋮ Efficient numerical solution of constrained multibody dynamics systems

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