Forward Period Analysis Method of the Periodic Hamiltonian System

Using the forward period analysis (FPA), we obtain the period of a Morse oscillator and mathematical pendulum system, with the accuracy of 100 significant digits. From these results, the long-term [0, 10(60)] (time unit) solutions, ranging from the Planck time to the age of the universe, are compute...

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Detalles Bibliográficos
Autor principal: Wang, Pengfei
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Public Library of Science 2016
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5058551/
https://www.ncbi.nlm.nih.gov/pubmed/27727295
http://dx.doi.org/10.1371/journal.pone.0163303
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author Wang, Pengfei
author_facet Wang, Pengfei
author_sort Wang, Pengfei
collection PubMed
description Using the forward period analysis (FPA), we obtain the period of a Morse oscillator and mathematical pendulum system, with the accuracy of 100 significant digits. From these results, the long-term [0, 10(60)] (time unit) solutions, ranging from the Planck time to the age of the universe, are computed reliably and quickly with a parallel multiple-precision Taylor series (PMT) scheme. The application of FPA to periodic systems can greatly reduce the computation time of long-term reliable simulations. This scheme provides an efficient way to generate reference solutions, against which long-term simulations using other schemes can be tested.
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spelling pubmed-50585512016-10-27 Forward Period Analysis Method of the Periodic Hamiltonian System Wang, Pengfei PLoS One Research Article Using the forward period analysis (FPA), we obtain the period of a Morse oscillator and mathematical pendulum system, with the accuracy of 100 significant digits. From these results, the long-term [0, 10(60)] (time unit) solutions, ranging from the Planck time to the age of the universe, are computed reliably and quickly with a parallel multiple-precision Taylor series (PMT) scheme. The application of FPA to periodic systems can greatly reduce the computation time of long-term reliable simulations. This scheme provides an efficient way to generate reference solutions, against which long-term simulations using other schemes can be tested. Public Library of Science 2016-10-11 /pmc/articles/PMC5058551/ /pubmed/27727295 http://dx.doi.org/10.1371/journal.pone.0163303 Text en © 2016 Pengfei Wang http://creativecommons.org/licenses/by/4.0/ This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) , which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
spellingShingle Research Article
Wang, Pengfei
Forward Period Analysis Method of the Periodic Hamiltonian System
title Forward Period Analysis Method of the Periodic Hamiltonian System
title_full Forward Period Analysis Method of the Periodic Hamiltonian System
title_fullStr Forward Period Analysis Method of the Periodic Hamiltonian System
title_full_unstemmed Forward Period Analysis Method of the Periodic Hamiltonian System
title_short Forward Period Analysis Method of the Periodic Hamiltonian System
title_sort forward period analysis method of the periodic hamiltonian system
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5058551/
https://www.ncbi.nlm.nih.gov/pubmed/27727295
http://dx.doi.org/10.1371/journal.pone.0163303
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