Matches in SemOpenAlex for { <https://semopenalex.org/work/W2531323189> ?p ?o ?g. }
Showing items 1 to 75 of
75
with 100 items per page.
- W2531323189 endingPage "313" @default.
- W2531323189 startingPage "291" @default.
- W2531323189 abstract "In this paper, we investigate numerical approximations of the scalar conservation law with the Caputo derivative, which introduces the memory effect. We construct the first order and the second order explicit upwind schemes for such equations, which are shown to be conditionally $$ell ^1$$l1 contracting and TVD. However, the Caputo derivative leads to the modified CFL-type stability condition, $$ (Delta t)^{alpha } = O(Delta x)$$(Δt)ź=O(Δx), where $$alpha in (0,1]$$źź(0,1] is the fractional exponent in the derivative. When $$alpha $$ź is small, such strong constraint makes the numerical implementation extremely impractical. We have then proposed the implicit upwind scheme to overcome this issue, which is proved to be unconditionally $$ell ^1$$l1 contracting and TVD. Various numerical tests are presented to validate the properties of the methods and provide more numerical evidence in interpreting the memory effect in conservation laws." @default.
- W2531323189 created "2016-10-21" @default.
- W2531323189 creator A5019169169 @default.
- W2531323189 creator A5028268055 @default.
- W2531323189 creator A5031373151 @default.
- W2531323189 date "2017-01-06" @default.
- W2531323189 modified "2023-09-25" @default.
- W2531323189 title "Explicit and Implicit TVD Schemes for Conservation Laws with Caputo Derivatives" @default.
- W2531323189 cites W1969312973 @default.
- W2531323189 cites W1981384091 @default.
- W2531323189 cites W1990956480 @default.
- W2531323189 cites W2003009438 @default.
- W2531323189 cites W2004373523 @default.
- W2531323189 cites W2006600976 @default.
- W2531323189 cites W2006907269 @default.
- W2531323189 cites W2034865749 @default.
- W2531323189 cites W2042535847 @default.
- W2531323189 cites W2056829543 @default.
- W2531323189 cites W2060902518 @default.
- W2531323189 cites W2064361774 @default.
- W2531323189 cites W2095239504 @default.
- W2531323189 cites W2111271983 @default.
- W2531323189 cites W2118288723 @default.
- W2531323189 cites W2161513111 @default.
- W2531323189 cites W2318555919 @default.
- W2531323189 cites W2732661672 @default.
- W2531323189 cites W4243701388 @default.
- W2531323189 doi "https://doi.org/10.1007/s10915-017-0356-4" @default.
- W2531323189 hasPublicationYear "2017" @default.
- W2531323189 type Work @default.
- W2531323189 sameAs 2531323189 @default.
- W2531323189 citedByCount "10" @default.
- W2531323189 countsByYear W25313231892019 @default.
- W2531323189 countsByYear W25313231892020 @default.
- W2531323189 countsByYear W25313231892021 @default.
- W2531323189 countsByYear W25313231892022 @default.
- W2531323189 crossrefType "journal-article" @default.
- W2531323189 hasAuthorship W2531323189A5019169169 @default.
- W2531323189 hasAuthorship W2531323189A5028268055 @default.
- W2531323189 hasAuthorship W2531323189A5031373151 @default.
- W2531323189 hasBestOaLocation W25313231892 @default.
- W2531323189 hasConcept C134306372 @default.
- W2531323189 hasConcept C144237770 @default.
- W2531323189 hasConcept C28826006 @default.
- W2531323189 hasConcept C33923547 @default.
- W2531323189 hasConcept C3445786 @default.
- W2531323189 hasConceptScore W2531323189C134306372 @default.
- W2531323189 hasConceptScore W2531323189C144237770 @default.
- W2531323189 hasConceptScore W2531323189C28826006 @default.
- W2531323189 hasConceptScore W2531323189C33923547 @default.
- W2531323189 hasConceptScore W2531323189C3445786 @default.
- W2531323189 hasFunder F4320306076 @default.
- W2531323189 hasFunder F4320321001 @default.
- W2531323189 hasIssue "1" @default.
- W2531323189 hasLocation W25313231891 @default.
- W2531323189 hasLocation W25313231892 @default.
- W2531323189 hasOpenAccess W2531323189 @default.
- W2531323189 hasPrimaryLocation W25313231891 @default.
- W2531323189 hasRelatedWork W1993700123 @default.
- W2531323189 hasRelatedWork W1994109492 @default.
- W2531323189 hasRelatedWork W1998839353 @default.
- W2531323189 hasRelatedWork W2089811522 @default.
- W2531323189 hasRelatedWork W2092244978 @default.
- W2531323189 hasRelatedWork W2316250911 @default.
- W2531323189 hasRelatedWork W2351859806 @default.
- W2531323189 hasRelatedWork W2613209927 @default.
- W2531323189 hasRelatedWork W4205135043 @default.
- W2531323189 hasRelatedWork W4239376463 @default.
- W2531323189 hasVolume "72" @default.
- W2531323189 isParatext "false" @default.
- W2531323189 isRetracted "false" @default.
- W2531323189 magId "2531323189" @default.
- W2531323189 workType "article" @default.