Implementation of Linear Multistep Methods for Solving Constrained Equations of Motion

DOI10.1137/0730039zbMath0781.65068OpenAlexW2036988129MaRDI QIDQ4202396

Florian A. Potra

Publication date: 4 October 1993

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

Full work available at URL: https://doi.org/10.1137/0730039

zbMATH Keywords

algorithmsEuler-Lagrange equationslinear multistep methodsconstrained multibody systemssymmetric matrix factorizationmethods of projected invariantsoverdetermined differential-algebraic equation solvers

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Free motion of a rigid body (70E15) 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 (3)

Multistep methods for differential algebraic equations ⋮ Outer inverses and multi body system simulation ⋮ Unitary partitioning in general constraint preserving DAE integrators

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