Obrechkoff one-step method fitted with Fourier spectrum for undamped Duffing equation
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Publication:709938
DOI10.1016/j.cpc.2006.07.015zbMath1196.65126OpenAlexW2076386124MaRDI QIDQ709938
Publication date: 18 October 2010
Published in: Computer Physics Communications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cpc.2006.07.015
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Cites Work
- Unnamed Item
- A trigonometrically-fitted one-step method with multi-derivative for the numerical solution to the one-dimensional Schrödinger equation
- Trigonometrically-fitted method with the Fourier frequency spectrum for undamped Duffing equation
- Stabilization of Cowell's classical finite difference method for numerical integration
- Generalization of the method of slowly varying amplitude and phase to non-linear oscillatory systems with two degrees of freedom
- Symmetric Multistip Methods for Periodic Initial Value Problems
