On the solution of high order stable time integration methods

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68145535%3A_____%2F13%3A00395518" target="_blank" >RIV/68145535:_____/13:00395518 - isvavai.cz</a>
Result on the web
<a href="http://www.boundaryvalueproblems.com/content/2013/1/108" target="_blank" >http://www.boundaryvalueproblems.com/content/2013/1/108</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1186/1687-2770-2013-108" target="_blank" >10.1186/1687-2770-2013-108</a>

Result language
angličtina
Original language name
On the solution of high order stable time integration methods
Original language description
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.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
—

Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2013
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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