Derivation of continuous explicit two-step Runge-Kutta methods of order three
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Publication:885928
DOI10.1016/j.cam.2006.02.056zbMath1116.65087OpenAlexW2044282524MaRDI QIDQ885928
Zdzisław Jackiewicz, Zbigniew Bartoszewski
Publication date: 14 June 2007
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2006.02.056
variable stepsizeNordsieck representationtwo-step Runge-Kutta methodscontinuous interpolantsordinary and delay differential equations
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Uses Software
Cites Work
- On the nonlinear differential-difference equation \(f'(x)=-\alpha f(x- 1)(1+f(x))\)
- Automatic selection of the initial step size for an ODE solver
- Natural Runge-Kutta and projection methods
- Numerical treatment of delay differential equations by Hermite interpolation
- Strong contractivity properties of numerical methods for ordinary and delay differential equations
- Nordsieck representation of two-step Runge-Kutta methods for ordinary differential equations
- Variable stepsize continuous two-step Runge-Kutta methods for ordinary differential equations
- Solving Ordinary Differential Equations I
- A Fully-Discrete Spectral Method for Delay-Differential Equations
- Natural Continuous Extensions of Runge-Kutta Methods
- Derivation of Efficient, Continuous, Explicit Runge–Kutta Methods
- ODE solvers and the method of lines
- A General Class of Two-Step Runge–Kutta Methods for Ordinary Differential Equations
- Order Barriers for Continuous Explicit Runge-Kutta Methods
- Solving DDEs in Matlab
- Some applications of continuous Runge-Kutta methods
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