Matches in SemOpenAlex for { <https://semopenalex.org/work/W2014490757> ?p ?o ?g. }
Showing items 1 to 78 of
78
with 100 items per page.
- W2014490757 endingPage "54" @default.
- W2014490757 startingPage "53" @default.
- W2014490757 abstract "Abstract Mechanical systems with dynamics on varying time scales, in particular those including highly oscillatory motion, impose challenging questions for numerical integration schemes. Tiny step sizes are required to guarantee a stable integration of the fast frequencies. However, for the simulation of the slow dynamics, integration with a larger time step is accurate enough. Small time steps increase integration times unnecessarily, especially for costly function evaluations. For systems comprising fast and slow dynamics, multirate methods integrate the slow part of the system with a relatively large step size while the fast part is integrated with a small time step. Main challenges are the identification of fast and slow parts (e.g. by separating the energy or by distinguishing sets of variables), the synchronisation of their dynamics and in particular the treatment of mixed parts that often appear when fast and slow dynamics are coupled by constraints. In this contribution, a multirate integrator is derived in closed form via a discrete variational principle on a time grid consisting of macro and micro time nodes. Variational integrators (based on a discrete version of Hamilton's principle) lead to symplectic and momentum preserving integration schemes that also exhibit good energy behavior. The resulting multirate variational integrator has the same preservation properties. An example demonstrates the performance of the multirate integrator for constrained multibody dynamics. (© 2011 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)" @default.
- W2014490757 created "2016-06-24" @default.
- W2014490757 creator A5018125622 @default.
- W2014490757 creator A5035699291 @default.
- W2014490757 date "2011-12-01" @default.
- W2014490757 modified "2023-10-16" @default.
- W2014490757 title "Variational multirate integration of constrained dynamics" @default.
- W2014490757 cites W2035851348 @default.
- W2014490757 cites W2170039048 @default.
- W2014490757 cites W3101408971 @default.
- W2014490757 doi "https://doi.org/10.1002/pamm.201110018" @default.
- W2014490757 hasPublicationYear "2011" @default.
- W2014490757 type Work @default.
- W2014490757 sameAs 2014490757 @default.
- W2014490757 citedByCount "0" @default.
- W2014490757 crossrefType "journal-article" @default.
- W2014490757 hasAuthorship W2014490757A5018125622 @default.
- W2014490757 hasAuthorship W2014490757A5035699291 @default.
- W2014490757 hasBestOaLocation W20144907571 @default.
- W2014490757 hasConcept C121332964 @default.
- W2014490757 hasConcept C145912823 @default.
- W2014490757 hasConcept C154945302 @default.
- W2014490757 hasConcept C187691185 @default.
- W2014490757 hasConcept C207646825 @default.
- W2014490757 hasConcept C24890656 @default.
- W2014490757 hasConcept C2524010 @default.
- W2014490757 hasConcept C2775924081 @default.
- W2014490757 hasConcept C2776257435 @default.
- W2014490757 hasConcept C31258907 @default.
- W2014490757 hasConcept C31972630 @default.
- W2014490757 hasConcept C33923547 @default.
- W2014490757 hasConcept C41008148 @default.
- W2014490757 hasConcept C47446073 @default.
- W2014490757 hasConcept C52154503 @default.
- W2014490757 hasConcept C67865112 @default.
- W2014490757 hasConcept C74650414 @default.
- W2014490757 hasConcept C79518650 @default.
- W2014490757 hasConcept C96566525 @default.
- W2014490757 hasConceptScore W2014490757C121332964 @default.
- W2014490757 hasConceptScore W2014490757C145912823 @default.
- W2014490757 hasConceptScore W2014490757C154945302 @default.
- W2014490757 hasConceptScore W2014490757C187691185 @default.
- W2014490757 hasConceptScore W2014490757C207646825 @default.
- W2014490757 hasConceptScore W2014490757C24890656 @default.
- W2014490757 hasConceptScore W2014490757C2524010 @default.
- W2014490757 hasConceptScore W2014490757C2775924081 @default.
- W2014490757 hasConceptScore W2014490757C2776257435 @default.
- W2014490757 hasConceptScore W2014490757C31258907 @default.
- W2014490757 hasConceptScore W2014490757C31972630 @default.
- W2014490757 hasConceptScore W2014490757C33923547 @default.
- W2014490757 hasConceptScore W2014490757C41008148 @default.
- W2014490757 hasConceptScore W2014490757C47446073 @default.
- W2014490757 hasConceptScore W2014490757C52154503 @default.
- W2014490757 hasConceptScore W2014490757C67865112 @default.
- W2014490757 hasConceptScore W2014490757C74650414 @default.
- W2014490757 hasConceptScore W2014490757C79518650 @default.
- W2014490757 hasConceptScore W2014490757C96566525 @default.
- W2014490757 hasIssue "1" @default.
- W2014490757 hasLocation W20144907571 @default.
- W2014490757 hasOpenAccess W2014490757 @default.
- W2014490757 hasPrimaryLocation W20144907571 @default.
- W2014490757 hasRelatedWork W1800624622 @default.
- W2014490757 hasRelatedWork W1969114691 @default.
- W2014490757 hasRelatedWork W2014490757 @default.
- W2014490757 hasRelatedWork W2016289167 @default.
- W2014490757 hasRelatedWork W2198921828 @default.
- W2014490757 hasRelatedWork W2534066439 @default.
- W2014490757 hasRelatedWork W2747477758 @default.
- W2014490757 hasRelatedWork W3011672241 @default.
- W2014490757 hasRelatedWork W1946731503 @default.
- W2014490757 hasRelatedWork W2751011030 @default.
- W2014490757 hasVolume "11" @default.
- W2014490757 isParatext "false" @default.
- W2014490757 isRetracted "false" @default.
- W2014490757 magId "2014490757" @default.
- W2014490757 workType "article" @default.