Computational series and multistep methods to integrate forced and damped stiff oscillators
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http://hdl.handle.net/10045/36060
Títol: | Computational series and multistep methods to integrate forced and damped stiff oscillators |
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Autors: | Reyes, José Antonio | García-Alonso, Fernando |
Grups d'investigació o GITE: | Modelización Matemática de Sistemas |
Centre, Departament o Servei: | Universidad de Alicante. Departamento de Matemática Aplicada |
Paraules clau: | Numerical solutions of oscillators | Highly accurate solutions | Highly oscillatory problems | Stiff problems | Multistep algorithms, computational algorithms |
Àrees de coneixement: | Matemática Aplicada |
Data de publicació: | 2012 |
Editor: | Bentham Open |
Citació bibliogràfica: | The Open Applied Mathematics Journal. 2012, 6: 9-22. doi:10.2174/1874114201206010009 |
Resum: | In a first part, this article presents the adaptation of Scheifele functions to forced and damped oscillators, designing a series method based on these, which integrates the non perturbed problem with no truncation error. This method is highly accurate, however it is difficult to adapt to each specific problem. In order to overcome this difficulty, in a second part, we describe the transformation of the series method to a multistep scheme. Explicit and implicit methods are formulated and combine to create a predictor-corrector method, which precisely integrates the homogenous problem. The computational algorithm is developed and the results obtained are contrasted by the series method and by the multistep algorithm with other known integrators. |
Patrocinadors: | This work has been supported by GRE09-13 project of the University of Alicante, and the project of the Generalitat Valenciana GV/2011/032 for the year 2012. |
URI: | http://hdl.handle.net/10045/36060 |
ISSN: | 1874-1142 |
DOI: | 10.2174/1874114201206010009 |
Idioma: | eng |
Tipus: | info:eu-repo/semantics/article |
Drets: | © Reyes and García-Alonso; Licensee Bentham Open. This is an open access article licensed under the terms of the Creative Commons Attribution Non-Commercial License (http://creativecommons.org/licenses/bync/3.0/) which permits unrestricted, non-commercial use, distribution and reproduction in any medium, provided the work is properly cited. |
Revisió científica: | si |
Versió de l'editor: | http://dx.doi.org/10.2174/1874114201206010009 |
Apareix a la col·lecció: | INV - MMS - Artículos de Revistas |
Arxius per aquest ítem:
Arxiu | Descripció | Tamany | Format | |
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2012_Reyes_Garcia-Alonso_OAMJ.pdf | 1,3 MB | Adobe PDF | Obrir Vista prèvia | |
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