Matches in SemOpenAlex for { <https://semopenalex.org/work/W1657706431> ?p ?o ?g. }
Showing items 1 to 95 of
95
with 100 items per page.
- W1657706431 abstract "In this paper, we develop a hybrid variational integrator based on the Jacobi‐Maupertuis Principle of Least Action. The Jacobi‐Maupertuis principle states that for a mechanical system with total energy E and potential energy V(q), the curve traced out by the system on a constant energy surface minimizes the action given by ∫2(E−V(q))ds where ds is the line element on the constant energy surface with respect to the kinetic energy of the system. The key feature is that the principle is a parametrization independent geodesic problem. We show that this principle can be combined with traditional variational integrators and can be used to efficiently handle high velocity regions where small time steps would otherwise be required. This is done by switching between the Hamilton principle and the Jacobi‐Maupertuis principle depending upon the kinetic energy of the system. We demonstrate our technique for the Kepler problem and discuss some ongoing and future work in studying the energy and momentum behavior of the resulting integrator." @default.
- W1657706431 created "2016-06-24" @default.
- W1657706431 creator A5018125622 @default.
- W1657706431 creator A5018631946 @default.
- W1657706431 creator A5090707068 @default.
- W1657706431 date "2009-01-01" @default.
- W1657706431 modified "2023-09-23" @default.
- W1657706431 title "The Jacobi-Maupertuis Principle in Variational Integrators" @default.
- W1657706431 cites W2004364365 @default.
- W1657706431 cites W2009402935 @default.
- W1657706431 cites W2097873820 @default.
- W1657706431 cites W2126479355 @default.
- W1657706431 cites W2170039048 @default.
- W1657706431 doi "https://doi.org/10.1063/1.3241498" @default.
- W1657706431 hasPublicationYear "2009" @default.
- W1657706431 type Work @default.
- W1657706431 sameAs 1657706431 @default.
- W1657706431 citedByCount "4" @default.
- W1657706431 countsByYear W16577064312017 @default.
- W1657706431 countsByYear W16577064312018 @default.
- W1657706431 countsByYear W16577064312022 @default.
- W1657706431 crossrefType "proceedings-article" @default.
- W1657706431 hasAuthorship W1657706431A5018125622 @default.
- W1657706431 hasAuthorship W1657706431A5018631946 @default.
- W1657706431 hasAuthorship W1657706431A5090707068 @default.
- W1657706431 hasBestOaLocation W16577064312 @default.
- W1657706431 hasConcept C105795698 @default.
- W1657706431 hasConcept C121332964 @default.
- W1657706431 hasConcept C134306372 @default.
- W1657706431 hasConcept C135889238 @default.
- W1657706431 hasConcept C143218062 @default.
- W1657706431 hasConcept C165801399 @default.
- W1657706431 hasConcept C165818556 @default.
- W1657706431 hasConcept C186370098 @default.
- W1657706431 hasConcept C199360897 @default.
- W1657706431 hasConcept C202887219 @default.
- W1657706431 hasConcept C2777027219 @default.
- W1657706431 hasConcept C2780791683 @default.
- W1657706431 hasConcept C33923547 @default.
- W1657706431 hasConcept C41008148 @default.
- W1657706431 hasConcept C52154503 @default.
- W1657706431 hasConcept C62520636 @default.
- W1657706431 hasConcept C74650414 @default.
- W1657706431 hasConcept C74902906 @default.
- W1657706431 hasConcept C79518650 @default.
- W1657706431 hasConcept C9259290 @default.
- W1657706431 hasConceptScore W1657706431C105795698 @default.
- W1657706431 hasConceptScore W1657706431C121332964 @default.
- W1657706431 hasConceptScore W1657706431C134306372 @default.
- W1657706431 hasConceptScore W1657706431C135889238 @default.
- W1657706431 hasConceptScore W1657706431C143218062 @default.
- W1657706431 hasConceptScore W1657706431C165801399 @default.
- W1657706431 hasConceptScore W1657706431C165818556 @default.
- W1657706431 hasConceptScore W1657706431C186370098 @default.
- W1657706431 hasConceptScore W1657706431C199360897 @default.
- W1657706431 hasConceptScore W1657706431C202887219 @default.
- W1657706431 hasConceptScore W1657706431C2777027219 @default.
- W1657706431 hasConceptScore W1657706431C2780791683 @default.
- W1657706431 hasConceptScore W1657706431C33923547 @default.
- W1657706431 hasConceptScore W1657706431C41008148 @default.
- W1657706431 hasConceptScore W1657706431C52154503 @default.
- W1657706431 hasConceptScore W1657706431C62520636 @default.
- W1657706431 hasConceptScore W1657706431C74650414 @default.
- W1657706431 hasConceptScore W1657706431C74902906 @default.
- W1657706431 hasConceptScore W1657706431C79518650 @default.
- W1657706431 hasConceptScore W1657706431C9259290 @default.
- W1657706431 hasLocation W16577064311 @default.
- W1657706431 hasLocation W16577064312 @default.
- W1657706431 hasLocation W16577064313 @default.
- W1657706431 hasOpenAccess W1657706431 @default.
- W1657706431 hasPrimaryLocation W16577064311 @default.
- W1657706431 hasRelatedWork W1569885366 @default.
- W1657706431 hasRelatedWork W1964437419 @default.
- W1657706431 hasRelatedWork W1973655794 @default.
- W1657706431 hasRelatedWork W1978235180 @default.
- W1657706431 hasRelatedWork W2010251500 @default.
- W1657706431 hasRelatedWork W2019117083 @default.
- W1657706431 hasRelatedWork W2023168992 @default.
- W1657706431 hasRelatedWork W2026659355 @default.
- W1657706431 hasRelatedWork W2043682702 @default.
- W1657706431 hasRelatedWork W2060691357 @default.
- W1657706431 hasRelatedWork W2086264005 @default.
- W1657706431 hasRelatedWork W2115431361 @default.
- W1657706431 hasRelatedWork W2204716489 @default.
- W1657706431 hasRelatedWork W2337208398 @default.
- W1657706431 hasRelatedWork W2383336490 @default.
- W1657706431 hasRelatedWork W2389147896 @default.
- W1657706431 hasRelatedWork W2903060317 @default.
- W1657706431 hasRelatedWork W3006082280 @default.
- W1657706431 hasRelatedWork W3106408394 @default.
- W1657706431 hasRelatedWork W3185189485 @default.
- W1657706431 isParatext "false" @default.
- W1657706431 isRetracted "false" @default.
- W1657706431 magId "1657706431" @default.
- W1657706431 workType "article" @default.