Matches in SemOpenAlex for { <https://semopenalex.org/work/W2079088306> ?p ?o ?g. }
Showing items 1 to 87 of
87
with 100 items per page.
- W2079088306 abstract "Abstract Downwind computational boundaries in the numerical approximation of hyperbolic equations are in general not transparent, and they create spurious reflection. A useful measure of this is given by the energy (or usual sum of squares) of the reflected solution in response to an arbitrary solution which originates from within the computing domain. We prove, in that respect, a somewhat unexpected property: namely, that for those full-discretizations which are obtained by applying to a space-discretization of the equations an energy conservative discrete time-marching method, the energy reflected at the boundary is independent of the value of Δt , and is strictly equal to the energy reflected in the semidiscrete case. This is verified in numerical experiments. Optimal boundary equations may be defined in the semidiscrete case of those which maximize the rate of convergence to zero of the reflected energy when h-+0. A corollary of the preceding result is that those boundary equations remain optimal, in the same sense, when used in an energy conservative full discretization. Moreover, this convergence result continues to hold when a nonconservative but stable (i.e., dissipative) time-discretization is used. This is verified numerically with the first-order Adams predictor-corrector method. The results of this paper are derived with the mathematics of the simple three-point central difference discretization of spatial derivatives. Obvious generalizations to other cases are mentioned at the end of the paper." @default.
- W2079088306 created "2016-06-24" @default.
- W2079088306 creator A5025899106 @default.
- W2079088306 date "1986-04-01" @default.
- W2079088306 modified "2023-09-27" @default.
- W2079088306 title "Invariance theorems concerning reflection at numerical boundaries" @default.
- W2079088306 cites W1559089175 @default.
- W2079088306 cites W1965023554 @default.
- W2079088306 cites W1983108430 @default.
- W2079088306 cites W1985648870 @default.
- W2079088306 cites W2001819970 @default.
- W2079088306 cites W2024321716 @default.
- W2079088306 cites W2054177224 @default.
- W2079088306 cites W2054255546 @default.
- W2079088306 doi "https://doi.org/10.1016/0021-9991(86)90194-4" @default.
- W2079088306 hasPublicationYear "1986" @default.
- W2079088306 type Work @default.
- W2079088306 sameAs 2079088306 @default.
- W2079088306 citedByCount "40" @default.
- W2079088306 countsByYear W20790883062012 @default.
- W2079088306 countsByYear W20790883062013 @default.
- W2079088306 countsByYear W20790883062019 @default.
- W2079088306 crossrefType "journal-article" @default.
- W2079088306 hasAuthorship W2079088306A5025899106 @default.
- W2079088306 hasConcept C105795698 @default.
- W2079088306 hasConcept C121332964 @default.
- W2079088306 hasConcept C134306372 @default.
- W2079088306 hasConcept C162324750 @default.
- W2079088306 hasConcept C182310444 @default.
- W2079088306 hasConcept C199360897 @default.
- W2079088306 hasConcept C2777303404 @default.
- W2079088306 hasConcept C28826006 @default.
- W2079088306 hasConcept C33923547 @default.
- W2079088306 hasConcept C41008148 @default.
- W2079088306 hasConcept C48753275 @default.
- W2079088306 hasConcept C50522688 @default.
- W2079088306 hasConcept C62354387 @default.
- W2079088306 hasConcept C62520636 @default.
- W2079088306 hasConcept C65682993 @default.
- W2079088306 hasConcept C73000952 @default.
- W2079088306 hasConcept C97256817 @default.
- W2079088306 hasConcept C99692599 @default.
- W2079088306 hasConceptScore W2079088306C105795698 @default.
- W2079088306 hasConceptScore W2079088306C121332964 @default.
- W2079088306 hasConceptScore W2079088306C134306372 @default.
- W2079088306 hasConceptScore W2079088306C162324750 @default.
- W2079088306 hasConceptScore W2079088306C182310444 @default.
- W2079088306 hasConceptScore W2079088306C199360897 @default.
- W2079088306 hasConceptScore W2079088306C2777303404 @default.
- W2079088306 hasConceptScore W2079088306C28826006 @default.
- W2079088306 hasConceptScore W2079088306C33923547 @default.
- W2079088306 hasConceptScore W2079088306C41008148 @default.
- W2079088306 hasConceptScore W2079088306C48753275 @default.
- W2079088306 hasConceptScore W2079088306C50522688 @default.
- W2079088306 hasConceptScore W2079088306C62354387 @default.
- W2079088306 hasConceptScore W2079088306C62520636 @default.
- W2079088306 hasConceptScore W2079088306C65682993 @default.
- W2079088306 hasConceptScore W2079088306C73000952 @default.
- W2079088306 hasConceptScore W2079088306C97256817 @default.
- W2079088306 hasConceptScore W2079088306C99692599 @default.
- W2079088306 hasLocation W20790883061 @default.
- W2079088306 hasOpenAccess W2079088306 @default.
- W2079088306 hasPrimaryLocation W20790883061 @default.
- W2079088306 hasRelatedWork W1570976541 @default.
- W2079088306 hasRelatedWork W1968470483 @default.
- W2079088306 hasRelatedWork W1975842200 @default.
- W2079088306 hasRelatedWork W1978992784 @default.
- W2079088306 hasRelatedWork W1981969969 @default.
- W2079088306 hasRelatedWork W1983108430 @default.
- W2079088306 hasRelatedWork W1983296355 @default.
- W2079088306 hasRelatedWork W1993367519 @default.
- W2079088306 hasRelatedWork W1999870831 @default.
- W2079088306 hasRelatedWork W2000562486 @default.
- W2079088306 hasRelatedWork W2003365705 @default.
- W2079088306 hasRelatedWork W2009059627 @default.
- W2079088306 hasRelatedWork W2009139991 @default.
- W2079088306 hasRelatedWork W2009643533 @default.
- W2079088306 hasRelatedWork W2017162233 @default.
- W2079088306 hasRelatedWork W2026392121 @default.
- W2079088306 hasRelatedWork W2031027147 @default.
- W2079088306 hasRelatedWork W2069627726 @default.
- W2079088306 hasRelatedWork W2137425960 @default.
- W2079088306 hasRelatedWork W2141735783 @default.
- W2079088306 isParatext "false" @default.
- W2079088306 isRetracted "false" @default.
- W2079088306 magId "2079088306" @default.
- W2079088306 workType "article" @default.