A half-explicit Runge-Kutta method of order 5 for solving constrained mechanical systems

DOI10.1007/BF02310533zbMath0761.65051OpenAlexW1551977789MaRDI QIDQ1195951

V. Brasey

Publication date: 11 January 1993

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02310533

zbMATH Keywords

equations of motionNumerical experimentsstep size controlorder conditionsstability regioncomparisonstruncation errorconstrained mechanical systemsfifth order methoddifferential-algebraic systems of index 2half-explicit Runge-Kutta method

Mathematics Subject Classification ID

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) Error bounds for numerical methods for ordinary differential equations (65L70) (n)-body problems (70F10) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)

Related Items (9)

On the History of Differential-Algebraic Equations ⋮ DAE Aspects of Multibody System Dynamics ⋮ Partitioned half-explicit Runge-Kutta methods for differential-algebraic system of index 2 ⋮ A comparison of one-step methods for multibody system dynamics in descriptor and state space form ⋮ On the numerical solution of a wheel suspension benchmark problem ⋮ Efficient integration of strangeness-free non-stiff differential-algebraic equations by half-explicit methods ⋮ Half-explicit Runge-Kutta methods with explicit stages for differential-algebraic systems of index 2 ⋮ An eight stage fourth order partitioned Rosenbrock method for multibody systems in index-3 formulation ⋮ Symmetrized half-explicit methods for constrained mechanical systems

Uses Software

• Mathematica
• RODAS

Cites Work

• Automatic integration of Euler-Lagrange equations with constraints
• The numerical solution of differential-algebraic systems by Runge-Kutta methods
• h2-Extrapolation methods for differential-algebraic systems of index 2
• Backward differentiation approximations of nonlinear differential/algebraic systems
• Numerical Solution of Nonlinear Differential Equations with Algebraic Constraints I: Convergence Results for Backward Differentiation Formulas
• Extrapolation integrators for constrained multibody systems
• The Numerical Solution of Higher Iindex Differential/Algebraic Equations by Implicit Methods
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