Partitioned half-explicit Runge-Kutta methods for differential-algebraic system of index 2

DOI10.1007/BF02684403zbMath0881.65071MaRDI QIDQ1365538

Ander Murua

Publication date: 13 January 1998

Published in: Computing (Search for Journal in Brave)

zbMATH Keywords

convergenceinitial value problemsmultibody systemsdifferential-algebraic systems of index 2partitioned half explicit Runge-Kutta methods

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) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) (n)-body problems (70F10)

Related Items (12)

The contact problem in Lagrangian systems subject to bilateral and unilateral constraints, with or without sliding Coulomb's friction: a tutorial ⋮ A Survey on Numerical Methods for the Simulation of Initial Value Problems with sDAEs ⋮ A comparison of one-step methods for multibody system dynamics in descriptor and state space form ⋮ Comparison of diagonal-implicit, linear-implicit and half-explicit Runge-Kutta methods in nonlinear finite element analyses ⋮ Half-explicit timestepping schemes on velocity level based on time-discontinuous Galerkin methods ⋮ 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 ⋮ The stabilization of linear multistep methods for constrained mechanical systems ⋮ Formal series and numerical integrators. II: Application to index-\(2\) differential-algebraic systems ⋮ Formal series and numerical integrators. I: Systems of ODEs and symplectic integrators ⋮ Regular and singular \(\beta\)-blocking of difference corrected multistep methods for nonstiff index-2 DAEs ⋮ Convergence of Lobatto-type Runge-Kutta methods for partitioned differential-algebraic systems of index \(2\)

Uses Software

• RODAS

Cites Work

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• A nonlinear truck model and its treatment as a multibody system
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• Convergence of a class of Runge-Kutta methods for differential-algebraic systems of index 2
• Solving Ordinary Differential Equations I
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