Matches in SemOpenAlex for { <https://semopenalex.org/work/W2085163886> ?p ?o ?g. }
Showing items 1 to 54 of
54
with 100 items per page.
- W2085163886 endingPage "85" @default.
- W2085163886 startingPage "79" @default.
- W2085163886 abstract "We consider the one-dimensional heat conduction equation [1]. The so-called θ-method will be applied to the numerical solution of the problem [2,3]. Here, the question is the suitable choice of the mesh on which the continuous problem is discretized, that is, the choice of the stepsize of the discretization in both variables. The basic condition comes from the condition of the convergence [2,3]. Moreover, it is reasonable to choose such a convergent numerical method which is optimal in a certain sense [4,5]. For any given implicit finite difference method with fixed number of arithmetic operations, we introduce an optimal parameter choice and define the optimal mesh in this sense of values of the stepsizes. We compare our results with the bounds obtained for the preservation of basic qualitative properties. As a result, we obtain the parameter choice for any convergent method being both optimal and preserving the main qualitative properties. Finally, a numerical example is given. © 1999 Elsevier Science Ltd. All rights reserved." @default.
- W2085163886 created "2016-06-24" @default.
- W2085163886 creator A5050349686 @default.
- W2085163886 creator A5068221320 @default.
- W2085163886 date "1999-11-01" @default.
- W2085163886 modified "2023-09-27" @default.
- W2085163886 title "An optimal mesh choice in the numerical solution of the heat equation" @default.
- W2085163886 cites W1967808160 @default.
- W2085163886 cites W1969143903 @default.
- W2085163886 cites W2013234049 @default.
- W2085163886 cites W2016976665 @default.
- W2085163886 cites W30316503 @default.
- W2085163886 doi "https://doi.org/10.1016/s0898-1221(99)00263-1" @default.
- W2085163886 hasPublicationYear "1999" @default.
- W2085163886 type Work @default.
- W2085163886 sameAs 2085163886 @default.
- W2085163886 citedByCount "3" @default.
- W2085163886 countsByYear W20851638862015 @default.
- W2085163886 countsByYear W20851638862023 @default.
- W2085163886 crossrefType "journal-article" @default.
- W2085163886 hasAuthorship W2085163886A5050349686 @default.
- W2085163886 hasAuthorship W2085163886A5068221320 @default.
- W2085163886 hasBestOaLocation W20851638861 @default.
- W2085163886 hasConcept C126255220 @default.
- W2085163886 hasConcept C134306372 @default.
- W2085163886 hasConcept C202787564 @default.
- W2085163886 hasConcept C28826006 @default.
- W2085163886 hasConcept C33923547 @default.
- W2085163886 hasConceptScore W2085163886C126255220 @default.
- W2085163886 hasConceptScore W2085163886C134306372 @default.
- W2085163886 hasConceptScore W2085163886C202787564 @default.
- W2085163886 hasConceptScore W2085163886C28826006 @default.
- W2085163886 hasConceptScore W2085163886C33923547 @default.
- W2085163886 hasIssue "9-10" @default.
- W2085163886 hasLocation W20851638861 @default.
- W2085163886 hasOpenAccess W2085163886 @default.
- W2085163886 hasPrimaryLocation W20851638861 @default.
- W2085163886 hasRelatedWork W2050770628 @default.
- W2085163886 hasRelatedWork W2083964489 @default.
- W2085163886 hasRelatedWork W2118263805 @default.
- W2085163886 hasRelatedWork W2141704600 @default.
- W2085163886 hasRelatedWork W2347039194 @default.
- W2085163886 hasRelatedWork W2401850100 @default.
- W2085163886 hasRelatedWork W3043663456 @default.
- W2085163886 hasRelatedWork W3117324600 @default.
- W2085163886 hasRelatedWork W3157737782 @default.
- W2085163886 hasRelatedWork W3161443230 @default.
- W2085163886 hasVolume "38" @default.
- W2085163886 isParatext "false" @default.
- W2085163886 isRetracted "false" @default.
- W2085163886 magId "2085163886" @default.
- W2085163886 workType "article" @default.