Matches in SemOpenAlex for { <https://semopenalex.org/work/W2326455348> ?p ?o ?g. }
Showing items 1 to 96 of
96
with 100 items per page.
- W2326455348 endingPage "476" @default.
- W2326455348 startingPage "461" @default.
- W2326455348 abstract "The alternating direction implicit (ADI) method is a highly efficient technique for solving multi-dimensional time dependent initial-boundary value problems on rectangles. When the ADI technique is coupled with orthogonal spline collocation (OSC) for discretization in space we not only obtain the global solution efficiently but the discretization error with respect to space variables can be of an arbitrarily high order. In [2], we used a Crank Nicolson ADI OSC method for solving general nonlinear parabolic problems with Robin’s boundary conditions on rectangular polygons and demonstrated numerically the accuracy in various norms. A natural question that arises is: Does this method have an extension to non-rectangular regions? In this paper, we present a simple idea of how the ADI OSC technique can be extended to some such regions. Our approach depends on the transfer of Dirichlet boundary conditions in the solution of a two-point boundary value problem (TPBVP). We illustrate our idea for the solution of the heat equation on the unit disc using piecewise Hermite cubics." @default.
- W2326455348 created "2016-06-24" @default.
- W2326455348 creator A5056234867 @default.
- W2326455348 creator A5066709922 @default.
- W2326455348 date "2013-08-01" @default.
- W2326455348 modified "2023-09-28" @default.
- W2326455348 title "Alternating Direction Implicit Orthogonal Spline Collocation on Non-Rectangular Regions" @default.
- W2326455348 cites W1975357829 @default.
- W2326455348 cites W2036044118 @default.
- W2326455348 cites W2061353257 @default.
- W2326455348 cites W2077636190 @default.
- W2326455348 cites W2095036901 @default.
- W2326455348 cites W2101930273 @default.
- W2326455348 cites W2898916015 @default.
- W2326455348 cites W577962163 @default.
- W2326455348 doi "https://doi.org/10.1017/s2070073300001338" @default.
- W2326455348 hasPublicationYear "2013" @default.
- W2326455348 type Work @default.
- W2326455348 sameAs 2326455348 @default.
- W2326455348 citedByCount "0" @default.
- W2326455348 crossrefType "journal-article" @default.
- W2326455348 hasAuthorship W2326455348A5056234867 @default.
- W2326455348 hasAuthorship W2326455348A5066709922 @default.
- W2326455348 hasConcept C105795698 @default.
- W2326455348 hasConcept C114609681 @default.
- W2326455348 hasConcept C121332964 @default.
- W2326455348 hasConcept C134306372 @default.
- W2326455348 hasConcept C142363948 @default.
- W2326455348 hasConcept C158622935 @default.
- W2326455348 hasConcept C164660894 @default.
- W2326455348 hasConcept C182310444 @default.
- W2326455348 hasConcept C186763157 @default.
- W2326455348 hasConcept C201362023 @default.
- W2326455348 hasConcept C205203396 @default.
- W2326455348 hasConcept C205951836 @default.
- W2326455348 hasConcept C2126413 @default.
- W2326455348 hasConcept C28826006 @default.
- W2326455348 hasConcept C31447003 @default.
- W2326455348 hasConcept C33923547 @default.
- W2326455348 hasConcept C51544822 @default.
- W2326455348 hasConcept C62520636 @default.
- W2326455348 hasConcept C73000952 @default.
- W2326455348 hasConcept C78045399 @default.
- W2326455348 hasConcept C93132110 @default.
- W2326455348 hasConceptScore W2326455348C105795698 @default.
- W2326455348 hasConceptScore W2326455348C114609681 @default.
- W2326455348 hasConceptScore W2326455348C121332964 @default.
- W2326455348 hasConceptScore W2326455348C134306372 @default.
- W2326455348 hasConceptScore W2326455348C142363948 @default.
- W2326455348 hasConceptScore W2326455348C158622935 @default.
- W2326455348 hasConceptScore W2326455348C164660894 @default.
- W2326455348 hasConceptScore W2326455348C182310444 @default.
- W2326455348 hasConceptScore W2326455348C186763157 @default.
- W2326455348 hasConceptScore W2326455348C201362023 @default.
- W2326455348 hasConceptScore W2326455348C205203396 @default.
- W2326455348 hasConceptScore W2326455348C205951836 @default.
- W2326455348 hasConceptScore W2326455348C2126413 @default.
- W2326455348 hasConceptScore W2326455348C28826006 @default.
- W2326455348 hasConceptScore W2326455348C31447003 @default.
- W2326455348 hasConceptScore W2326455348C33923547 @default.
- W2326455348 hasConceptScore W2326455348C51544822 @default.
- W2326455348 hasConceptScore W2326455348C62520636 @default.
- W2326455348 hasConceptScore W2326455348C73000952 @default.
- W2326455348 hasConceptScore W2326455348C78045399 @default.
- W2326455348 hasConceptScore W2326455348C93132110 @default.
- W2326455348 hasIssue "04" @default.
- W2326455348 hasLocation W23264553481 @default.
- W2326455348 hasOpenAccess W2326455348 @default.
- W2326455348 hasPrimaryLocation W23264553481 @default.
- W2326455348 hasRelatedWork W1976573417 @default.
- W2326455348 hasRelatedWork W1986036821 @default.
- W2326455348 hasRelatedWork W1990754064 @default.
- W2326455348 hasRelatedWork W2013285173 @default.
- W2326455348 hasRelatedWork W2020146388 @default.
- W2326455348 hasRelatedWork W2046719698 @default.
- W2326455348 hasRelatedWork W2060088245 @default.
- W2326455348 hasRelatedWork W2091470232 @default.
- W2326455348 hasRelatedWork W2098434946 @default.
- W2326455348 hasRelatedWork W2105149246 @default.
- W2326455348 hasRelatedWork W2262549232 @default.
- W2326455348 hasRelatedWork W2314322204 @default.
- W2326455348 hasRelatedWork W2350009677 @default.
- W2326455348 hasRelatedWork W2467440642 @default.
- W2326455348 hasRelatedWork W2952782738 @default.
- W2326455348 hasRelatedWork W2955760861 @default.
- W2326455348 hasRelatedWork W3097299666 @default.
- W2326455348 hasRelatedWork W3133813814 @default.
- W2326455348 hasRelatedWork W2082926771 @default.
- W2326455348 hasRelatedWork W2188858397 @default.
- W2326455348 hasVolume "5" @default.
- W2326455348 isParatext "false" @default.
- W2326455348 isRetracted "false" @default.
- W2326455348 magId "2326455348" @default.
- W2326455348 workType "article" @default.