Half-explicit Runge-Kutta methods with explicit stages for differential-algebraic systems of index 2

DOI10.1007/BF02510252zbMath0924.65068OpenAlexW2045475810MaRDI QIDQ1272871

Martin Arnold

Publication date: 10 November 1999

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02510252

zbMATH Keywords

differential-algebraic systemshalf-explicit Runge-Kutta algorithmswheel vibration

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) Nonlinear ordinary differential equations and systems (34A34) Vibrations in dynamical problems in solid mechanics (74H45) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Related Items

Finite element decomposition and minimal extension for flow equations, DAE Aspects of Multibody System Dynamics, A Survey on Numerical Methods for the Simulation of Initial Value Problems with sDAEs, 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, Runge-Kutta methods for linear semi-explicit operator differential-algebraic equations, Comparison of diagonal-implicit, linear-implicit and half-explicit Runge-Kutta methods in nonlinear finite element analyses, Towards explicit methods for differential algebraic equations, Efficient integration of strangeness-free non-stiff differential-algebraic equations by half-explicit methods, A multi-index variable time step method for the dynamic simulation of multibody systems, The stabilization of linear multistep methods for constrained mechanical systems, Order reduction of stiff solvers at elastic multibody 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

Uses Software

• Mathematica
• MBSPACK
• RODAS

Cites Work

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