Matches in SemOpenAlex for { <https://semopenalex.org/work/W2089722168> ?p ?o ?g. }
Showing items 1 to 90 of
90
with 100 items per page.
- W2089722168 endingPage "59" @default.
- W2089722168 startingPage "41" @default.
- W2089722168 abstract "The Burgers' equation, a simplification of the Navier–Stokes equations, is one of the fundamental model equations in gas dynamics, hydrodynamics, and acoustics that illustrates the coupling between convection/advection and diffusion. The kinetic energy enjoys boundedness and monotone decreasing properties that are useful in the study of the asymptotic behavior of the solution. We construct a family of non-standard finite difference schemes, which replicate the energy equality and the properties of the kinetic energy. Our approach is based on Mickens' rule [Nonstandard Finite Difference Models of Differential Equations, World Scientific, Singapore, 1994.] of nonlocal approximation of nonlinear terms. More precisely, we propose a systematic nonlocal way of generating approximations that ensure that the trilinear form is identically zero for repeated arguments. We provide numerical experiments that support the theory and demonstrate the power of the non-standard schemes over the classical ones. © 2007 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2007" @default.
- W2089722168 created "2016-06-24" @default.
- W2089722168 creator A5006166724 @default.
- W2089722168 creator A5024541073 @default.
- W2089722168 creator A5088299620 @default.
- W2089722168 date "2007-01-01" @default.
- W2089722168 modified "2023-10-17" @default.
- W2089722168 title "Energy properties preserving schemes for Burgers' equation" @default.
- W2089722168 cites W1968941960 @default.
- W2089722168 cites W1979708666 @default.
- W2089722168 cites W1988315351 @default.
- W2089722168 cites W2029844829 @default.
- W2089722168 cites W2034976587 @default.
- W2089722168 cites W2050801762 @default.
- W2089722168 cites W2064035700 @default.
- W2089722168 cites W2072685235 @default.
- W2089722168 cites W2116028019 @default.
- W2089722168 cites W2165574390 @default.
- W2089722168 cites W2324090823 @default.
- W2089722168 cites W2329841088 @default.
- W2089722168 cites W2480063110 @default.
- W2089722168 cites W2485029991 @default.
- W2089722168 cites W2492166149 @default.
- W2089722168 cites W3148800415 @default.
- W2089722168 cites W396155428 @default.
- W2089722168 cites W648809531 @default.
- W2089722168 doi "https://doi.org/10.1002/num.20227" @default.
- W2089722168 hasPublicationYear "2007" @default.
- W2089722168 type Work @default.
- W2089722168 sameAs 2089722168 @default.
- W2089722168 citedByCount "17" @default.
- W2089722168 countsByYear W20897221682015 @default.
- W2089722168 countsByYear W20897221682016 @default.
- W2089722168 countsByYear W20897221682017 @default.
- W2089722168 countsByYear W20897221682018 @default.
- W2089722168 countsByYear W20897221682019 @default.
- W2089722168 countsByYear W20897221682020 @default.
- W2089722168 countsByYear W20897221682021 @default.
- W2089722168 crossrefType "journal-article" @default.
- W2089722168 hasAuthorship W2089722168A5006166724 @default.
- W2089722168 hasAuthorship W2089722168A5024541073 @default.
- W2089722168 hasAuthorship W2089722168A5088299620 @default.
- W2089722168 hasBestOaLocation W20897221681 @default.
- W2089722168 hasConcept C105795698 @default.
- W2089722168 hasConcept C121332964 @default.
- W2089722168 hasConcept C129747778 @default.
- W2089722168 hasConcept C134306372 @default.
- W2089722168 hasConcept C158622935 @default.
- W2089722168 hasConcept C181330731 @default.
- W2089722168 hasConcept C186370098 @default.
- W2089722168 hasConcept C2524010 @default.
- W2089722168 hasConcept C2834757 @default.
- W2089722168 hasConcept C28826006 @default.
- W2089722168 hasConcept C33923547 @default.
- W2089722168 hasConcept C62520636 @default.
- W2089722168 hasConcept C93779851 @default.
- W2089722168 hasConceptScore W2089722168C105795698 @default.
- W2089722168 hasConceptScore W2089722168C121332964 @default.
- W2089722168 hasConceptScore W2089722168C129747778 @default.
- W2089722168 hasConceptScore W2089722168C134306372 @default.
- W2089722168 hasConceptScore W2089722168C158622935 @default.
- W2089722168 hasConceptScore W2089722168C181330731 @default.
- W2089722168 hasConceptScore W2089722168C186370098 @default.
- W2089722168 hasConceptScore W2089722168C2524010 @default.
- W2089722168 hasConceptScore W2089722168C2834757 @default.
- W2089722168 hasConceptScore W2089722168C28826006 @default.
- W2089722168 hasConceptScore W2089722168C33923547 @default.
- W2089722168 hasConceptScore W2089722168C62520636 @default.
- W2089722168 hasConceptScore W2089722168C93779851 @default.
- W2089722168 hasIssue "1" @default.
- W2089722168 hasLocation W20897221681 @default.
- W2089722168 hasOpenAccess W2089722168 @default.
- W2089722168 hasPrimaryLocation W20897221681 @default.
- W2089722168 hasRelatedWork W1551797393 @default.
- W2089722168 hasRelatedWork W1659054493 @default.
- W2089722168 hasRelatedWork W2009793451 @default.
- W2089722168 hasRelatedWork W2049416585 @default.
- W2089722168 hasRelatedWork W2103902531 @default.
- W2089722168 hasRelatedWork W2122718216 @default.
- W2089722168 hasRelatedWork W2329254523 @default.
- W2089722168 hasRelatedWork W2981770954 @default.
- W2089722168 hasRelatedWork W4376479962 @default.
- W2089722168 hasRelatedWork W928045137 @default.
- W2089722168 hasVolume "24" @default.
- W2089722168 isParatext "false" @default.
- W2089722168 isRetracted "false" @default.
- W2089722168 magId "2089722168" @default.
- W2089722168 workType "article" @default.