Matches in SemOpenAlex for { <https://semopenalex.org/work/W2581636051> ?p ?o ?g. }
Showing items 1 to 67 of
67
with 100 items per page.
- W2581636051 endingPage "466" @default.
- W2581636051 startingPage "447" @default.
- W2581636051 abstract "The first application of approximate factorization in the numerical solution of time-dependent partial differential equations (PDEs) can be traced back to the celebrated papers of Peaceman and Rachford and of Douglas in 1955. For linear problems, the Peaceman-Rachford- Douglas method can be derived from the Crank-Nicolson method by the approximate factorization of the system matrix in the linear system to be solved. This factorization is based on a splitting of the system matrix. In the numerical solution of time-dependent PDEs we often encounter linear systems whose system matrix has a complicated structure, but can be split into a sum of matrices with a simple structure. In such cases, it is attractive to replace the system matrix by an approximate factorization based on this splitting. This contribution surveys various possibilities for applying approximate factorization to PDEs and presents a number of new stability results for the resulting integration methods." @default.
- W2581636051 created "2017-02-03" @default.
- W2581636051 creator A5022333057 @default.
- W2581636051 creator A5082258606 @default.
- W2581636051 date "2001-01-01" @default.
- W2581636051 modified "2023-09-26" @default.
- W2581636051 title "Approximate factorization for time-dependent partial differential equations" @default.
- W2581636051 cites W1224802987 @default.
- W2581636051 cites W1853991144 @default.
- W2581636051 cites W1978515227 @default.
- W2581636051 cites W1991231181 @default.
- W2581636051 cites W2007066672 @default.
- W2581636051 cites W2010210658 @default.
- W2581636051 cites W2012899463 @default.
- W2581636051 cites W2042639233 @default.
- W2581636051 cites W2042832861 @default.
- W2581636051 cites W2043857934 @default.
- W2581636051 cites W2062971074 @default.
- W2581636051 cites W2095036901 @default.
- W2581636051 cites W2098168282 @default.
- W2581636051 cites W2102524448 @default.
- W2581636051 cites W2141544914 @default.
- W2581636051 cites W2167657634 @default.
- W2581636051 cites W3022427087 @default.
- W2581636051 cites W68257813 @default.
- W2581636051 doi "https://doi.org/10.1016/b978-0-444-50616-0.50019-1" @default.
- W2581636051 hasPublicationYear "2001" @default.
- W2581636051 type Work @default.
- W2581636051 sameAs 2581636051 @default.
- W2581636051 citedByCount "3" @default.
- W2581636051 countsByYear W25816360512017 @default.
- W2581636051 crossrefType "book-chapter" @default.
- W2581636051 hasAuthorship W2581636051A5022333057 @default.
- W2581636051 hasAuthorship W2581636051A5082258606 @default.
- W2581636051 hasBestOaLocation W25816360512 @default.
- W2581636051 hasConcept C11413529 @default.
- W2581636051 hasConcept C134306372 @default.
- W2581636051 hasConcept C187834632 @default.
- W2581636051 hasConcept C28826006 @default.
- W2581636051 hasConcept C33923547 @default.
- W2581636051 hasConceptScore W2581636051C11413529 @default.
- W2581636051 hasConceptScore W2581636051C134306372 @default.
- W2581636051 hasConceptScore W2581636051C187834632 @default.
- W2581636051 hasConceptScore W2581636051C28826006 @default.
- W2581636051 hasConceptScore W2581636051C33923547 @default.
- W2581636051 hasLocation W25816360511 @default.
- W2581636051 hasLocation W25816360512 @default.
- W2581636051 hasLocation W25816360513 @default.
- W2581636051 hasLocation W25816360514 @default.
- W2581636051 hasOpenAccess W2581636051 @default.
- W2581636051 hasPrimaryLocation W25816360511 @default.
- W2581636051 hasRelatedWork W1989609927 @default.
- W2581636051 hasRelatedWork W2050770628 @default.
- W2581636051 hasRelatedWork W2068063144 @default.
- W2581636051 hasRelatedWork W2110012484 @default.
- W2581636051 hasRelatedWork W2323097435 @default.
- W2581636051 hasRelatedWork W2325587141 @default.
- W2581636051 hasRelatedWork W2401850100 @default.
- W2581636051 hasRelatedWork W2527787164 @default.
- W2581636051 hasRelatedWork W4253518619 @default.
- W2581636051 hasRelatedWork W2130055506 @default.
- W2581636051 isParatext "false" @default.
- W2581636051 isRetracted "false" @default.
- W2581636051 magId "2581636051" @default.
- W2581636051 workType "book-chapter" @default.