Convergence of Runge-Kutta methods for differential-algebraic systems of index 3
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Publication:1893542
DOI10.1016/0168-9274(95)00013-KzbMath0832.65078WikidataQ127981342 ScholiaQ127981342MaRDI QIDQ1893542
Publication date: 5 March 1996
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
convergencenumerical experimentsvariable stepsizeimplicit Runge-Kutta methodsHessenberg formindex reductionglobal superconvergenceRadau IIA methodsLobatto IIIC methodsindex 3 differential-algebraic equations
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)
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Cites Work
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- Error of Runge-Kutta methods for stiff problems studied via differential algebraic equations
- A class of half-explicit Runge-Kutta methods for differential-algebraic systems of index 3
- Integration of stiff mechanical systems by Runge-Kutta methods
- Collocation methods for differential-algebraic equations of index 3
- Convergence of a class of Runge-Kutta methods for differential-algebraic systems of index 2
- Projected Implicit Runge–Kutta Methods for Differential-Algebraic Equations
- Backward differentiation approximations of nonlinear differential/algebraic systems
- Implicit Runge–Kutta Methods for Differential Algebraic Equations
- The Numerical Solution of Higher Iindex Differential/Algebraic Equations by Implicit Methods
- Coefficients for the study of Runge-Kutta integration processes