FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2013802102> ?p ?o ?g. }

• W2013802102 abstract "The perturbed harmonic oscillator appear frequently in the mathematical modelling of many problems in physics and engineering. The harmonic oscillator has a special purpose in Astrodynamics, because the Kunstaanheimo-Stiefel (KS) and Burdet-Ferrandiz (BF) transformations reduce the Kepler problem to harmonic oscillators. A new multi-step methods of numerical integration are introduced that generalize SMF ones. They are defined for arbitrary order and have similar properties to the former methods. Modified methods allowing step variations, whose coefficients are computed from relations of recurrence, are derived, what considerably improve the implementation of the algorithms. These methods are based in a sequence of analytical @f-functions dependent on two parameters @a and @b that generalizes the Scheifele's G-functions and that, under wide hypothesis, allow us obtain the solution of harmonic oscillator. In this paper a new methodology is generated to solve the problem which the @f-functions series create regarding the calculus of recurrence relations transforming the method into a multistep scheme. The methodology is implemented in a computational algorithm, which lets us solve in a general way the problems of physics and engineering which are modalized by means of the study of the harmonic oscillators. Numerical examples already used by other authors are presented. They show how the new developed methods in this paper may compete in accuracy or efficiency with other well-reputed algorithms." @default.
• W2013802102 created "2016-06-24" @default.
• W2013802102 creator A5018955739 @default.
• W2013802102 creator A5029772511 @default.
• W2013802102 creator A5079948646 @default.
• W2013802102 creator A5091078408 @default.
• W2013802102 date "2009-08-01" @default.
• W2013802102 modified "2023-10-01" @default.
• W2013802102 title "Multistep numerical methods for the integration of oscillatory problems in several frequencies" @default.
• W2013802102 cites W1603192129 @default.
• W2013802102 cites W1649734142 @default.
• W2013802102 cites W1772227556 @default.
• W2013802102 cites W1968790851 @default.
• W2013802102 cites W1970977093 @default.
• W2013802102 cites W1980588826 @default.
• W2013802102 cites W1986697271 @default.
• W2013802102 cites W2002902585 @default.
• W2013802102 cites W2010644838 @default.
• W2013802102 cites W2016426654 @default.
• W2013802102 cites W2037354281 @default.
• W2013802102 cites W2053593375 @default.
• W2013802102 cites W2061676642 @default.
• W2013802102 cites W2083964164 @default.
• W2013802102 cites W2096645015 @default.
• W2013802102 cites W2134984950 @default.
• W2013802102 cites W2144375544 @default.
• W2013802102 cites W34573016 @default.
• W2013802102 cites W85500490 @default.
• W2013802102 doi "https://doi.org/10.1016/j.advengsoft.2008.08.005" @default.
• W2013802102 hasPublicationYear "2009" @default.
• W2013802102 type Work @default.
• W2013802102 sameAs 2013802102 @default.
• W2013802102 citedByCount "7" @default.
• W2013802102 countsByYear W20138021022012 @default.
• W2013802102 countsByYear W20138021022013 @default.
• W2013802102 countsByYear W20138021022015 @default.
• W2013802102 countsByYear W20138021022019 @default.
• W2013802102 crossrefType "journal-article" @default.
• W2013802102 hasAuthorship W2013802102A5018955739 @default.
• W2013802102 hasAuthorship W2013802102A5029772511 @default.
• W2013802102 hasAuthorship W2013802102A5079948646 @default.
• W2013802102 hasAuthorship W2013802102A5091078408 @default.
• W2013802102 hasConcept C11413529 @default.
• W2013802102 hasConcept C121332964 @default.
• W2013802102 hasConcept C127349201 @default.
• W2013802102 hasConcept C127934551 @default.
• W2013802102 hasConcept C134306372 @default.
• W2013802102 hasConcept C136119220 @default.
• W2013802102 hasConcept C143724316 @default.
• W2013802102 hasConcept C151730666 @default.
• W2013802102 hasConcept C199343813 @default.
• W2013802102 hasConcept C201292218 @default.
• W2013802102 hasConcept C202444582 @default.
• W2013802102 hasConcept C2777686260 @default.
• W2013802102 hasConcept C2778112365 @default.
• W2013802102 hasConcept C28826006 @default.
• W2013802102 hasConcept C33923547 @default.
• W2013802102 hasConcept C40934718 @default.
• W2013802102 hasConcept C41008148 @default.
• W2013802102 hasConcept C48753275 @default.
• W2013802102 hasConcept C54355233 @default.
• W2013802102 hasConcept C62520636 @default.
• W2013802102 hasConcept C71924100 @default.
• W2013802102 hasConcept C86803240 @default.
• W2013802102 hasConceptScore W2013802102C11413529 @default.
• W2013802102 hasConceptScore W2013802102C121332964 @default.
• W2013802102 hasConceptScore W2013802102C127349201 @default.
• W2013802102 hasConceptScore W2013802102C127934551 @default.
• W2013802102 hasConceptScore W2013802102C134306372 @default.
• W2013802102 hasConceptScore W2013802102C136119220 @default.
• W2013802102 hasConceptScore W2013802102C143724316 @default.
• W2013802102 hasConceptScore W2013802102C151730666 @default.
• W2013802102 hasConceptScore W2013802102C199343813 @default.
• W2013802102 hasConceptScore W2013802102C201292218 @default.
• W2013802102 hasConceptScore W2013802102C202444582 @default.
• W2013802102 hasConceptScore W2013802102C2777686260 @default.
• W2013802102 hasConceptScore W2013802102C2778112365 @default.
• W2013802102 hasConceptScore W2013802102C28826006 @default.
• W2013802102 hasConceptScore W2013802102C33923547 @default.
• W2013802102 hasConceptScore W2013802102C40934718 @default.
• W2013802102 hasConceptScore W2013802102C41008148 @default.
• W2013802102 hasConceptScore W2013802102C48753275 @default.
• W2013802102 hasConceptScore W2013802102C54355233 @default.
• W2013802102 hasConceptScore W2013802102C62520636 @default.
• W2013802102 hasConceptScore W2013802102C71924100 @default.
• W2013802102 hasConceptScore W2013802102C86803240 @default.
• W2013802102 hasLocation W20138021021 @default.
• W2013802102 hasOpenAccess W2013802102 @default.
• W2013802102 hasPrimaryLocation W20138021021 @default.
• W2013802102 hasRelatedWork W1561901337 @default.
• W2013802102 hasRelatedWork W1764455793 @default.
• W2013802102 hasRelatedWork W1932453583 @default.
• W2013802102 hasRelatedWork W2002902585 @default.
• W2013802102 hasRelatedWork W2005903070 @default.
• W2013802102 hasRelatedWork W201468832 @default.
• W2013802102 hasRelatedWork W2056797908 @default.
• W2013802102 hasRelatedWork W2081801408 @default.
• W2013802102 hasRelatedWork W2093244301 @default.
• W2013802102 hasRelatedWork W2151554918 @default.
• W2013802102 hasRelatedWork W2418039739 @default.

• next