Matches in SemOpenAlex for { <https://semopenalex.org/work/W973998637> ?p ?o ?g. }
Showing items 1 to 83 of
83
with 100 items per page.
- W973998637 endingPage "133" @default.
- W973998637 startingPage "76" @default.
- W973998637 abstract "In the previous chapter the basic principles of discretization of problems involving partial differential operators were outlined. The objective of this chapter is to describe the essential aspects of the theory of convergence of the resulting schemes. Just as discretization methods were roughly divided into two basic categories as those based on the replacment of the partial differential operators by partial difference operators (the finite difference approach), and those based on a certain characterization of the sollution of the problm (the Galerkin approach), the corresponding convergence analyses possess different features, even though both approaches eventually lead to (finite) systems of equations which are similar, or even identical. The finite difference approach may lead to discrete systems with drastically different properties even when these systems originate from the same problem. For this reason, each discrete system requires special treatment, and the analysis may be much more demanding than that of the original problem! This is why, to date, the discrete counterparts of elliptic boundary-value problems have not been treated satisfactorily (in more than one variable!), even though the theory of the original equations is a show-piece of mathematical achievement. On the other hand, the analysis of approximation schemes based on what we chose to label rather imprecisely as the Galerkin approach is relatively straightforward, due to the fact that for a given problem one has a limited number of (practical) characterizations of the solution.KeywordsTruncation ErrorApproximation PropertyFinite Difference SchemeSolution OperatorLocal Truncation ErrorThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves." @default.
- W973998637 created "2016-06-24" @default.
- W973998637 creator A5050176982 @default.
- W973998637 date "1983-01-01" @default.
- W973998637 modified "2023-09-25" @default.
- W973998637 title "Analysis of Convergence of Numerical Methods" @default.
- W973998637 cites W1966155583 @default.
- W973998637 cites W1987418883 @default.
- W973998637 cites W1999675604 @default.
- W973998637 cites W2005306237 @default.
- W973998637 cites W2012207048 @default.
- W973998637 cites W2021510322 @default.
- W973998637 cites W2046899724 @default.
- W973998637 cites W2048037014 @default.
- W973998637 cites W2066272263 @default.
- W973998637 cites W2069627726 @default.
- W973998637 cites W2078638882 @default.
- W973998637 doi "https://doi.org/10.1007/978-3-0348-6262-2_3" @default.
- W973998637 hasPublicationYear "1983" @default.
- W973998637 type Work @default.
- W973998637 sameAs 973998637 @default.
- W973998637 citedByCount "0" @default.
- W973998637 crossrefType "book-chapter" @default.
- W973998637 hasAuthorship W973998637A5050176982 @default.
- W973998637 hasConcept C110342517 @default.
- W973998637 hasConcept C121332964 @default.
- W973998637 hasConcept C134306372 @default.
- W973998637 hasConcept C135628077 @default.
- W973998637 hasConcept C162324750 @default.
- W973998637 hasConcept C181330731 @default.
- W973998637 hasConcept C182310444 @default.
- W973998637 hasConcept C182365436 @default.
- W973998637 hasConcept C186899397 @default.
- W973998637 hasConcept C199343813 @default.
- W973998637 hasConcept C205951836 @default.
- W973998637 hasConcept C2777303404 @default.
- W973998637 hasConcept C2777686260 @default.
- W973998637 hasConcept C28826006 @default.
- W973998637 hasConcept C33923547 @default.
- W973998637 hasConcept C50522688 @default.
- W973998637 hasConcept C71924100 @default.
- W973998637 hasConcept C73000952 @default.
- W973998637 hasConcept C93779851 @default.
- W973998637 hasConcept C97355855 @default.
- W973998637 hasConceptScore W973998637C110342517 @default.
- W973998637 hasConceptScore W973998637C121332964 @default.
- W973998637 hasConceptScore W973998637C134306372 @default.
- W973998637 hasConceptScore W973998637C135628077 @default.
- W973998637 hasConceptScore W973998637C162324750 @default.
- W973998637 hasConceptScore W973998637C181330731 @default.
- W973998637 hasConceptScore W973998637C182310444 @default.
- W973998637 hasConceptScore W973998637C182365436 @default.
- W973998637 hasConceptScore W973998637C186899397 @default.
- W973998637 hasConceptScore W973998637C199343813 @default.
- W973998637 hasConceptScore W973998637C205951836 @default.
- W973998637 hasConceptScore W973998637C2777303404 @default.
- W973998637 hasConceptScore W973998637C2777686260 @default.
- W973998637 hasConceptScore W973998637C28826006 @default.
- W973998637 hasConceptScore W973998637C33923547 @default.
- W973998637 hasConceptScore W973998637C50522688 @default.
- W973998637 hasConceptScore W973998637C71924100 @default.
- W973998637 hasConceptScore W973998637C73000952 @default.
- W973998637 hasConceptScore W973998637C93779851 @default.
- W973998637 hasConceptScore W973998637C97355855 @default.
- W973998637 hasLocation W9739986371 @default.
- W973998637 hasOpenAccess W973998637 @default.
- W973998637 hasPrimaryLocation W9739986371 @default.
- W973998637 hasRelatedWork W1990952156 @default.
- W973998637 hasRelatedWork W238735523 @default.
- W973998637 hasRelatedWork W25939672 @default.
- W973998637 hasRelatedWork W2733638563 @default.
- W973998637 hasRelatedWork W2905684975 @default.
- W973998637 hasRelatedWork W3014755482 @default.
- W973998637 hasRelatedWork W3191114377 @default.
- W973998637 hasRelatedWork W3216208143 @default.
- W973998637 hasRelatedWork W4212822596 @default.
- W973998637 hasRelatedWork W973998637 @default.
- W973998637 isParatext "false" @default.
- W973998637 isRetracted "false" @default.
- W973998637 magId "973998637" @default.
- W973998637 workType "book-chapter" @default.