Efficient solution of linear systems arising in the linearization of the VTN-phase stability problem using the Sherman-Morrison iterations

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F21%3A00344303" target="_blank" >RIV/68407700:21340/21:00344303 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1016/j.fluid.2020.112832" target="_blank" >https://doi.org/10.1016/j.fluid.2020.112832</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.fluid.2020.112832" target="_blank" >10.1016/j.fluid.2020.112832</a>

Result language
angličtina
Original language name
Efficient solution of linear systems arising in the linearization of the VTN-phase stability problem using the Sherman-Morrison iterations
Original language description
We derive a simple procedure for solving systems of linear equations arising from the linearization of the VTN-phase stability problem. Using the structure of the Hessian matrix, the solution is obtained by sequential usage of the Sherman-Morrison formula. The great advantage of the method is that the system of equation can be solved without even assembling the system. The performance and the speed-up of the computation is demonstrated on several examples of different complexity. (C) 2020 Elsevier B.V. All rights reserved.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10102 - Applied mathematics

Project
<a href="/en/project/EF16_019%2F0000778" target="_blank" >EF16_019/0000778: Center for advanced applied science</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>S - Specificky vyzkum na vysokych skolach

Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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