A class of half-explicit Runge-Kutta methods for differential-algebraic systems of index 3

DOI10.1016/0168-9274(93)90140-MzbMath0788.65084OpenAlexW2050887761MaRDI QIDQ1308572

Alexander Ostermann

Publication date: 30 May 1994

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0168-9274(93)90140-m

zbMATH Keywords

convergencenumerical testsorder conditionshalf-explicit Runge-Kutta methodsdifferential- algebraic systems of index 3

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

Convergence of Runge-Kutta methods for differential-algebraic systems of index 3, Convergence of multistep discretizations of DAEs, 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, Stabilized multistep methods for index 2 Euler-Lagrange DAEs, Constraint-consistent Runge-Kutta methods for one-dimensional incompressible multiphase flow, A class of linearly-implicit Runge-Kutta methods for multibody systems, 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

Uses Software

• Maple

Cites Work

• Error of Runge-Kutta methods for stiff problems studied via differential algebraic equations
• h2-Extrapolation methods for differential-algebraic systems of index 2
• A Half-Explicit Extrapolation Method for Differential-Algebraic Systems of Indix 3
• Half-Explicit Runge–Kutta Methods for Differential-Algebraic Systems of Index 2
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