Embedded pair of extended Runge-Kutta-Nyström type methods for perturbed oscillators
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Publication:1957345
DOI10.1016/j.apm.2009.12.004zbMath1195.65096OpenAlexW2072490713MaRDI QIDQ1957345
Publication date: 25 September 2010
Published in: Applied Mathematical Modelling (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apm.2009.12.004
Related Items (4)
A new phase-fitted eight-step symmetric embedded predictor-corrector method (EPCM) for orbital problems and related IVPs with oscillating solutions ⋮ On extended RKN integrators for multidimensional perturbed oscillators with applications ⋮ New 8-step symmetric embedded predictor-corrector (EPCM) method with vanished phase-lag and its first derivative for the numerical integration of the Schrödinger equation ⋮ Extended RKN methods with FSAL property for oscillatory systems
Cites Work
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- Order conditions for ARKN methods solving oscillatory systems
- Extended RKN-type methods for numerical integration of perturbed oscillators
- A new pair of explicit ARKN methods for the numerical integration of general perturbed oscillators
- A robust trigonometrically fitted embedded pair for perturbed oscillators
- A 5(3) pair of explicit ARKN methods for the numerical integration of perturbed oscillators.
- Stability of explicit ARKN methods for perturbed oscillators
- A new family of Runge-Kutta type methods for the numerical integration of perturbed oscillators
- Runge-Kutta-Nyström methods adapted to the numerical integration of perturbed oscillators
- Exponentially fitted explicit Runge-Kutta-Nyström methods
- Explicit Runge–Kutta (–Nyström) Methods with Reduced Phase Errors for Computing Oscillating Solutions
- Families of Runge-Kutta-Nystrom Formulae
- Solving Ordinary Differential Equations I
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