Efficient Runge-Kutta integrators for index-2 differential algebraic equations

DOI10.1090/S0025-5718-98-00953-3zbMath0899.65048MaRDI QIDQ4396447

John C. Butcher, Robert P. K. Chan

Publication date: 14 June 1998

Published in: Mathematics of Computation (Search for Journal in Brave)

zbMATH Keywords

differential algebraic equationssingly implicit Runge-Kutta methods

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) Nonlinear ordinary differential equations and systems (34A34) 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)

Related Items

Adomian decomposition method for solution of nonlinear differential algebraic equations, Solving system of DAEs by homotopy analysis method, Design and implementation of DIRK integrators for stiff systems, Optimal control of differential-algebraic equations of higher index. II: Necessary optimality conditions, Quasi stage order conditions for SDIRK methods

Cites Work

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• On smoothing and order reduction effects for implicit Runge-Kutta formulae
• The numerical solution of differential-algebraic systems by Runge-Kutta methods
• Towards Efficient Runge–Kutta Methods for Stiff Systems
• Towards efficient implementation of singly-implicit methods
• An implementation of singly-implicit Runge-Kutta methods