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Modified successive overrelaxation (MSOR) and equivalent 2-step iterative methods for collocation matrices

Saridakis Ioannis, Hadjidimos, Apostolos

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URIhttp://purl.tuc.gr/dl/dias/136BC77B-7DAE-49C7-86EF-72EA897F4FDF-
Identifierhttps://doi.org/10.1016/0377-0427(92)90086-D-
Languageen-
Extent18 pagesen
TitleModified successive overrelaxation (MSOR) and equivalent 2-step iterative methods for collocation matricesen
CreatorSaridakis Ioannisen
CreatorΣαριδακης Ιωαννηςel
CreatorHadjidimos, Apostolosen
PublisherElsevieren
Content SummaryWe consider a class of consistently ordered matrices which arise from the discretization of Boundary Value Problems (BVPs) when the finite-element collocation method with Hermite elements is used. Through a recently derived equivalence relationship for the asymptotic rates of convergence of the Modified Successive Overrelaxation (MSOR) and a certain 2-step iterative method, we determine the optimum values for the parameters of the MSOR method, as it pertains to collocation matrices. A geometrical algorithm, which utilizes “capturing ellipse” arguments, has been successfully used. The fast convergence properties of the optimum MSOR method are revealed after its comparison to several well-known iterative schemes. Numerical examples, which include the solution of Poisson's equation, are used to verify our results.en
Type of ItemPeer-Reviewed Journal Publicationen
Type of ItemΔημοσίευση σε Περιοδικό με Κριτέςel
Licensehttp://creativecommons.org/licenses/by/4.0/en
Date of Item2015-10-16-
Date of Publication1992-
SubjectGreek mathematicsen
Subjectmathematics greeken
Subjectgreek mathematicsen
Subject--Cases, clinical reports, statisticsen
Subject--Statistical dataen
Subjectstatisticsen
Subjectcases clinical reports statisticsen
Subjectstatistical dataen
Bibliographic CitationA. Hadjidimos, Y. G. Saridakis, “Modified successive overrelaxation (MSOR) and equivalent 2-step iterative methods for collocation matrices," J. of Computaitonal and Applied Math ,vol.42, no.3, pp. 375-393, 1992. doi: 10.1016/0377-0427(92)90086-Den

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