On the numerical solution of stiff IVPs by Lobatto IIIA Runge-Kutta methods
DOI10.1016/S0377-0427(97)00086-1zbMath0886.65079MaRDI QIDQ1372062
J. I. Montijano Torcal, S. Pérez-Rodríguez, S. González-Pinto
Publication date: 14 April 1998
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
stiff systemsRunge-Kutta methodsstability regionsiterative schemesVan der Pol oscillatororegonatorCUSP problemLobatto IIIA formulae
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) Multiple scale methods for ordinary differential equations (34E13)
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Cites Work
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- A scheme for the implementation of implicit Runge-Kutta methods
- Error of Runge-Kutta methods for stiff problems studied via differential algebraic equations
- On the convergence of Runge-Kutta methods for stiff nonlinear differential equations
- Iterative schemes for Gauss methods
- Iterative schemes for three-stage implicit Runge-Kutta methods
- An Iteration Scheme for Implicit Runge—Kutta Methods
- An implementation of singly-implicit Runge-Kutta methods
- On the Stability and Accuracy of One-Step Methods for Solving Stiff Systems of Ordinary Differential Equations
- A Polyalgorithm for the Numerical Solution of Ordinary Differential Equations
- On the implementation of implicit Runge-Kutta methods
- An Efficient Solution Process for Implicit Runge–Kutta Methods
- On Symmetric Schemes and Differential-Algebraic Equations