Matches in SemOpenAlex for { <https://semopenalex.org/work/W2113757980> ?p ?o ?g. }
- W2113757980 endingPage "843" @default.
- W2113757980 startingPage "825" @default.
- W2113757980 abstract "The advection–diffusion equation has a long history as a benchmark for numerical methods. If advection dominates over diffusion the numerical solution is difficult, especially if there are boundary layers to resolve. The eigenvalues of the approximate discretized spatial operator can be complex, and if the real part of any one of these is positive, the temporal development of the discretized equations by finite differences is unstable. The stability of the time development by finite difference methods is usually discussed in terms of the eigenvalues of the first and second derivative spatial operators. In this paper, the eigenvalues of the spatial operator in the advection–diffusion equation determined with a Galerkin method based on a new set of nonclassical basis functions are all real and negative. A collocation solution of the time dependent advection–diffusion equation is also considered and results using Chebyshev–Gauss–Lobatto and Legendre–Gauss–Lobatto quadratures are compared with results based on new basis functions. The results demonstrate that improved convergence can be obtained with new basis functions defined with respect to nonclassical weight functions." @default.
- W2113757980 created "2016-06-24" @default.
- W2113757980 creator A5077348661 @default.
- W2113757980 date "2002-05-01" @default.
- W2113757980 modified "2023-09-27" @default.
- W2113757980 title "Spectral methods based on nonclassical basis functions: the advection–diffusion equation" @default.
- W2113757980 cites W135804711 @default.
- W2113757980 cites W1976312688 @default.
- W2113757980 cites W1977473067 @default.
- W2113757980 cites W1993125871 @default.
- W2113757980 cites W2010913194 @default.
- W2113757980 cites W2023988191 @default.
- W2113757980 cites W2030348253 @default.
- W2113757980 cites W2041634741 @default.
- W2113757980 cites W2050872843 @default.
- W2113757980 cites W2053824016 @default.
- W2113757980 cites W2072653497 @default.
- W2113757980 cites W2084928977 @default.
- W2113757980 cites W2161326618 @default.
- W2113757980 cites W4250793262 @default.
- W2113757980 doi "https://doi.org/10.1016/s0045-7930(01)00082-2" @default.
- W2113757980 hasPublicationYear "2002" @default.
- W2113757980 type Work @default.
- W2113757980 sameAs 2113757980 @default.
- W2113757980 citedByCount "12" @default.
- W2113757980 countsByYear W21137579802013 @default.
- W2113757980 countsByYear W21137579802014 @default.
- W2113757980 countsByYear W21137579802015 @default.
- W2113757980 countsByYear W21137579802018 @default.
- W2113757980 countsByYear W21137579802020 @default.
- W2113757980 crossrefType "journal-article" @default.
- W2113757980 hasAuthorship W2113757980A5077348661 @default.
- W2113757980 hasConcept C104317684 @default.
- W2113757980 hasConcept C121332964 @default.
- W2113757980 hasConcept C12426560 @default.
- W2113757980 hasConcept C134306372 @default.
- W2113757980 hasConcept C136264566 @default.
- W2113757980 hasConcept C158448853 @default.
- W2113757980 hasConcept C158693339 @default.
- W2113757980 hasConcept C162324750 @default.
- W2113757980 hasConcept C17020691 @default.
- W2113757980 hasConcept C17456955 @default.
- W2113757980 hasConcept C185592680 @default.
- W2113757980 hasConcept C23463724 @default.
- W2113757980 hasConcept C2524010 @default.
- W2113757980 hasConcept C2780378061 @default.
- W2113757980 hasConcept C28826006 @default.
- W2113757980 hasConcept C33923547 @default.
- W2113757980 hasConcept C5072599 @default.
- W2113757980 hasConcept C55493867 @default.
- W2113757980 hasConcept C571446 @default.
- W2113757980 hasConcept C5917680 @default.
- W2113757980 hasConcept C62520636 @default.
- W2113757980 hasConcept C73000952 @default.
- W2113757980 hasConcept C86339819 @default.
- W2113757980 hasConcept C97355855 @default.
- W2113757980 hasConceptScore W2113757980C104317684 @default.
- W2113757980 hasConceptScore W2113757980C121332964 @default.
- W2113757980 hasConceptScore W2113757980C12426560 @default.
- W2113757980 hasConceptScore W2113757980C134306372 @default.
- W2113757980 hasConceptScore W2113757980C136264566 @default.
- W2113757980 hasConceptScore W2113757980C158448853 @default.
- W2113757980 hasConceptScore W2113757980C158693339 @default.
- W2113757980 hasConceptScore W2113757980C162324750 @default.
- W2113757980 hasConceptScore W2113757980C17020691 @default.
- W2113757980 hasConceptScore W2113757980C17456955 @default.
- W2113757980 hasConceptScore W2113757980C185592680 @default.
- W2113757980 hasConceptScore W2113757980C23463724 @default.
- W2113757980 hasConceptScore W2113757980C2524010 @default.
- W2113757980 hasConceptScore W2113757980C2780378061 @default.
- W2113757980 hasConceptScore W2113757980C28826006 @default.
- W2113757980 hasConceptScore W2113757980C33923547 @default.
- W2113757980 hasConceptScore W2113757980C5072599 @default.
- W2113757980 hasConceptScore W2113757980C55493867 @default.
- W2113757980 hasConceptScore W2113757980C571446 @default.
- W2113757980 hasConceptScore W2113757980C5917680 @default.
- W2113757980 hasConceptScore W2113757980C62520636 @default.
- W2113757980 hasConceptScore W2113757980C73000952 @default.
- W2113757980 hasConceptScore W2113757980C86339819 @default.
- W2113757980 hasConceptScore W2113757980C97355855 @default.
- W2113757980 hasIssue "4-7" @default.
- W2113757980 hasLocation W21137579801 @default.
- W2113757980 hasOpenAccess W2113757980 @default.
- W2113757980 hasPrimaryLocation W21137579801 @default.
- W2113757980 hasRelatedWork W2083638730 @default.
- W2113757980 hasRelatedWork W2113757980 @default.
- W2113757980 hasRelatedWork W2151421878 @default.
- W2113757980 hasRelatedWork W2253637996 @default.
- W2113757980 hasRelatedWork W2354398553 @default.
- W2113757980 hasRelatedWork W2784470613 @default.
- W2113757980 hasRelatedWork W3007217464 @default.
- W2113757980 hasRelatedWork W3188810325 @default.
- W2113757980 hasRelatedWork W4205123524 @default.
- W2113757980 hasRelatedWork W4293683879 @default.
- W2113757980 hasVolume "31" @default.
- W2113757980 isParatext "false" @default.
- W2113757980 isRetracted "false" @default.
- W2113757980 magId "2113757980" @default.