Post-projected Runge-Kutta methods for index-2 differential-algebraic equations

DOI10.1016/S0168-9274(01)00143-XzbMath1005.65079MaRDI QIDQ1612449

Ander Murua, Philippe Chartier, Robert P. K. Chan

Publication date: 22 August 2002

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

zbMATH Keywords

convergencenumerical examplesprojected Runge-Kutta methodsindex-2 differential algebraic equations

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) Stability and convergence of numerical methods for ordinary differential equations (65L20) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical methods for differential-algebraic equations (65L80)

Related Items

Projected Runge-Kutta methods for constrained Hamiltonian systems, Solving nonlinear differential algebraic equations by an implicit \(GL(n, \mathbb R)\) Lie-group method, Specialized Runge-Kutta methods for index 2 differential-algebraic equations, Post-projected Runge-Kutta methods for index-2 differential-algebraic equations

Uses Software

• RODAS

Cites Work

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• Error of Rosenbrock methods for stiff problems studied via differential algebraic equations
• Post-projected Runge-Kutta methods for index-2 differential-algebraic equations
• A composition law for Runge-Kutta methods applied to index-2 differential-algebraic equations
• Convergence of a class of Runge-Kutta methods for differential-algebraic systems of index 2
• Projected Implicit Runge–Kutta Methods for Differential-Algebraic Equations
• Order conditions for numerical integrators obtained by composing simpler integrators
• On the structure of errors for Radau IA methods applied to index-2 DAEs