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On the solution of high order stable time integration methods
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SYSNO ASEP 0395518 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title On the solution of high order stable time integration methods Author(s) Axelsson, Owe (UGN-S) RID
Blaheta, Radim (UGN-S) RID, SAI, ORCID
Sysala, Stanislav (UGN-S) RID, ORCID
Ahmad, B. (SA)Number of authors 4 Source Title Boundary Value Problems - ISSN 1687-2770
Roč. 108, č. 1 (2013), s. 1-22Number of pages 22 s. Publication form Online - E Language eng - English Country DE - Germany Keywords evolution equations ; preconditioners for quadratic matrix polynomials ; a stiffly stable time integration method Subject RIV BA - General Mathematics Institutional support UGN-S - RVO:68145535 UT WOS 000325749900001 DOI 10.1186/1687-2770-2013-108 Annotation Evolution equations arise in many important practical problems. They are frequently stiff, i.e. involves fast, mostly exponentially, decreasing and/or oscillating components. To handle such problems, one must use proper forms of implicit numerical time-integration methods. In this paper, we consider two methods of high order of accuracy, one for parabolic problems and the other for hyperbolic type of problems. For parabolic problems, it is shown how the solution rapidly approaches the stationary solution. It is also shown how the arising quadratic polynomial algebraic systems can be solved efficiently by iteration and use of a proper preconditioner. Workplace Institute of Geonics Contact Lucie Gurková, lucie.gurkova@ugn.cas.cz, Tel.: 596 979 354 Year of Publishing 2014 Electronic address http://www.boundaryvalueproblems.com/content/2013/1/108
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