Matches in SemOpenAlex for { <https://semopenalex.org/work/W2007653947> ?p ?o ?g. }
Showing items 1 to 91 of
91
with 100 items per page.
- W2007653947 abstract "We present an algorithm for the time integration of nonlinear partial differential equations. The algorithm uses distributed approximating functionals, which are based on an analytic approximation method, in order to achieve highly accurate spatial derivatives. The time integration is based on a second-order unconditionally A -stable Crank-Nicolson scheme with a Newton solver. We apply the integration scheme to the Kuramoto-Sivanshinsky equation in polar coordinates, which presents a significant computational challenge due to the stiffness introduced by the estimation of the spatial derivatives at the origin. We present several stationary and nonstationary solutions of the Kuramoto-Sivanshinsky equation and compare with previous numerical results as well as patterns observed in the combustion front of a circular burner. The numerical results of the proposed scheme reproduces several patterns--rotating two-cell, three-cell, hopping three-cell, stationary two-three-four- and five-cell, stationary 5/1,6/1,7/1,8/2 two-ring patterns, etc.--observed in physical experiments. The scheme is extremely robust and can produce long-term simulations consisting of several thousand frames. Although applied to a very specific problem, the approach of combining the framework of distributed approximating functionals with a Crank-Nicolson based time integration is generalizable to a large class of problems." @default.
- W2007653947 created "2016-06-24" @default.
- W2007653947 creator A5012308437 @default.
- W2007653947 creator A5040451201 @default.
- W2007653947 creator A5077000138 @default.
- W2007653947 date "2005-09-06" @default.
- W2007653947 modified "2023-09-26" @default.
- W2007653947 title "Stable second-order scheme for integrating the Kuramoto-Sivanshinsky equation in polar coordinates using distributed approximating functionals" @default.
- W2007653947 cites W1575701986 @default.
- W2007653947 cites W1978065286 @default.
- W2007653947 cites W1982999858 @default.
- W2007653947 cites W1987754737 @default.
- W2007653947 cites W2010384236 @default.
- W2007653947 cites W2032955411 @default.
- W2007653947 cites W2036957539 @default.
- W2007653947 cites W2038827069 @default.
- W2007653947 cites W2047506587 @default.
- W2007653947 cites W2049967935 @default.
- W2007653947 cites W2062081192 @default.
- W2007653947 cites W2075973382 @default.
- W2007653947 cites W2091803972 @default.
- W2007653947 cites W2092482957 @default.
- W2007653947 cites W2094697017 @default.
- W2007653947 cites W2114255899 @default.
- W2007653947 cites W2126216743 @default.
- W2007653947 cites W2136415006 @default.
- W2007653947 cites W2142026915 @default.
- W2007653947 cites W2157536110 @default.
- W2007653947 cites W2160775929 @default.
- W2007653947 cites W2167657634 @default.
- W2007653947 cites W2059436648 @default.
- W2007653947 doi "https://doi.org/10.1103/physreve.72.036701" @default.
- W2007653947 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/16241608" @default.
- W2007653947 hasPublicationYear "2005" @default.
- W2007653947 type Work @default.
- W2007653947 sameAs 2007653947 @default.
- W2007653947 citedByCount "7" @default.
- W2007653947 crossrefType "journal-article" @default.
- W2007653947 hasAuthorship W2007653947A5012308437 @default.
- W2007653947 hasAuthorship W2007653947A5040451201 @default.
- W2007653947 hasAuthorship W2007653947A5077000138 @default.
- W2007653947 hasConcept C121332964 @default.
- W2007653947 hasConcept C121684516 @default.
- W2007653947 hasConcept C126255220 @default.
- W2007653947 hasConcept C127349201 @default.
- W2007653947 hasConcept C134306372 @default.
- W2007653947 hasConcept C137800194 @default.
- W2007653947 hasConcept C158622935 @default.
- W2007653947 hasConcept C2524010 @default.
- W2007653947 hasConcept C2778770139 @default.
- W2007653947 hasConcept C28826006 @default.
- W2007653947 hasConcept C33923547 @default.
- W2007653947 hasConcept C40069579 @default.
- W2007653947 hasConcept C41008148 @default.
- W2007653947 hasConcept C502989409 @default.
- W2007653947 hasConcept C62520636 @default.
- W2007653947 hasConcept C93779851 @default.
- W2007653947 hasConceptScore W2007653947C121332964 @default.
- W2007653947 hasConceptScore W2007653947C121684516 @default.
- W2007653947 hasConceptScore W2007653947C126255220 @default.
- W2007653947 hasConceptScore W2007653947C127349201 @default.
- W2007653947 hasConceptScore W2007653947C134306372 @default.
- W2007653947 hasConceptScore W2007653947C137800194 @default.
- W2007653947 hasConceptScore W2007653947C158622935 @default.
- W2007653947 hasConceptScore W2007653947C2524010 @default.
- W2007653947 hasConceptScore W2007653947C2778770139 @default.
- W2007653947 hasConceptScore W2007653947C28826006 @default.
- W2007653947 hasConceptScore W2007653947C33923547 @default.
- W2007653947 hasConceptScore W2007653947C40069579 @default.
- W2007653947 hasConceptScore W2007653947C41008148 @default.
- W2007653947 hasConceptScore W2007653947C502989409 @default.
- W2007653947 hasConceptScore W2007653947C62520636 @default.
- W2007653947 hasConceptScore W2007653947C93779851 @default.
- W2007653947 hasLocation W20076539471 @default.
- W2007653947 hasLocation W20076539472 @default.
- W2007653947 hasOpenAccess W2007653947 @default.
- W2007653947 hasPrimaryLocation W20076539471 @default.
- W2007653947 hasRelatedWork W145384329 @default.
- W2007653947 hasRelatedWork W1551053660 @default.
- W2007653947 hasRelatedWork W1971999822 @default.
- W2007653947 hasRelatedWork W1997449464 @default.
- W2007653947 hasRelatedWork W2009793451 @default.
- W2007653947 hasRelatedWork W2044059702 @default.
- W2007653947 hasRelatedWork W2154714952 @default.
- W2007653947 hasRelatedWork W2170498216 @default.
- W2007653947 hasRelatedWork W2570102869 @default.
- W2007653947 hasRelatedWork W2769754504 @default.
- W2007653947 isParatext "false" @default.
- W2007653947 isRetracted "false" @default.
- W2007653947 magId "2007653947" @default.
- W2007653947 workType "article" @default.