Half-explicit Runge-Kutta methods for semi-explicit differential- algebraic equations of index 1

DOI10.1007/BF01388697zbMath0791.65055OpenAlexW2033720550MaRDI QIDQ1326382

Martin Arnold, Rüdiger Weiner, Karl Strehmel

Publication date: 7 July 1994

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/133713

zbMATH Keywords

numerical testsNewton methodhalf-explicit Runge-Kutta methodsnon-stiff semi-explicit differential-algebraic equations of index 1

Mathematics Subject Classification ID

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)

Related Items (12)

Finite element decomposition and minimal extension for flow equations ⋮ Runge-Kutta methods revisited for a class of structured strangeness-free differential-algebraic equations ⋮ A perturbation analysis for the dynamical simulation of mechanical multibody systems ⋮ A Survey on Numerical Methods for the Simulation of Initial Value Problems with sDAEs ⋮ Comparison of diagonal-implicit, linear-implicit and half-explicit Runge-Kutta methods in nonlinear finite element analyses ⋮ Continuous, Semi-discrete, and Fully Discretised Navier-Stokes Equations ⋮ Efficient integration of strangeness-free non-stiff differential-algebraic equations by half-explicit methods ⋮ Smooth velocity approximation for constrained systems in real-time simulation ⋮ A class of linearly-implicit Runge-Kutta methods for multibody systems ⋮ Half-explicit exponential Runge-Kutta methods for index-1 DAEs in helicopter simulation ⋮ An eight stage fourth order partitioned Rosenbrock method for multibody systems in index-3 formulation ⋮ Symmetrized half-explicit methods for constrained mechanical systems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On error behaviour of partitioned linearly implicit Runge-Kutta methods for stiff and differential algebraic systems
• One-step and extrapolation methods for differential-algebraic systems
• Error of Runge-Kutta methods for stiff problems studied via differential algebraic equations
• The application of Rosenbrock-Wanner type methods with stepsize control in differential-algebraic equations
• A family of embedded Runge-Kutta formulae
• High order embedded Runge-Kutta formulae
• On the Butcher group and general multi-value methods
• Rosenbrock methods for differential algebraic equations
• Solving Ordinary Differential Equations I
• ODE Methods for the Solution of Differential/Algebraic Systems
• Order Results for Implicit Runge–Kutta Methods Applied to Differential/Algebraic Systems

This page was built for publication: Half-explicit Runge-Kutta methods for semi-explicit differential- algebraic equations of index 1