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Discretization error estimates in maximum norm for convergent splittings of matrices with a monotone preconditioning part
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SYSNO ASEP 0482329 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Discretization error estimates in maximum norm for convergent splittings of matrices with a monotone preconditioning part Author(s) Axelsson, Owe (UGN-S) RID
Karátson, J. (HU)Number of authors 2 Source Title Journal of Computational and Applied Mathematics. - : Elsevier - ISSN 0377-0427
Roč. 210, January 2017 (2017), s. 155-164Number of pages 10 s. Publication form Online - E Language eng - English Country NL - Netherlands Keywords finite difference method ; error estimates ; matrix splitting ; preconditioning Subject RIV BA - General Mathematics OECD category Applied mathematics Institutional support UGN-S - RVO:68145535 UT WOS 000384780400013 EID SCOPUS 84963781294 DOI 10.1016/j.cam.2016.03.022 Annotation For finite difference matrices that are monotone, a discretization error estimate in maximum norm follows from the truncation errors of the discretization. It enables also discretization error estimates for derivatives of the solution. These results are extended to convergent operator splittings of the difference matrix where the major, preconditioning part is monotone but the whole operator is not necessarily monotone. Workplace Institute of Geonics Contact Lucie Gurková, lucie.gurkova@ugn.cas.cz, Tel.: 596 979 354 Year of Publishing 2018 Electronic address http://www.sciencedirect.com/science/article/pii/S0377042716301492?via%3Dihub
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