Publication Details

Parallel Solution of Partial Differential Equations Using Taylor Series Method

NEČASOVÁ Gabriela, VEIGEND Petr and ŠÁTEK Václav. Parallel Solution of Partial Differential Equations Using Taylor Series Method. In: 18th International Conference of Numerical Analysis and Applied Mathematics. Rhodes: American Institute of Physics, 2022, pp. 1-4. ISSN 0094-243X. Available from: https://doi.org/10.1063/5.0082209
Czech title
Paralelní řešení parciálních diferenciálních rovnic metodou Taylorovy řady
Type
conference paper
Language
english
Authors
Nečasová Gabriela, Ing., Ph.D. (DITS FIT BUT)
Veigend Petr, Ing., Ph.D. (DITS FIT BUT)
Šátek Václav, Ing., Ph.D. (DITS FIT BUT)
URL
Keywords

PDE, ODE, Method of Lines, MTSM, parallel solution

Abstract

This paper deals with the parallel numerical solution of linear partial dierential equations. The linear partial dierential
equation is replaced by a system of ordinary dierential equations using the Method of Lines. The numerical solution is obtained using the variable step-size and the variable order Taylor series method. The general form of parallelization for linear systems is introduced and experiments with the method are performed.

Published
2022
Pages
1-4
Journal
AIP Conference Proceedings - American Institute of Physics, vol. 2425, no. 3, ISSN 0094-243X
Proceedings
18th International Conference of Numerical Analysis and Applied Mathematics
Conference
18th International Conference of Numerical Analysis and Applied Mathematics, Rhodes, GR
Publisher
American Institute of Physics
Place
Rhodes, GR
DOI
10.1063/5.0082209
EID Scopus
2-s2.0-85128574131
BibTeX 
@INPROCEEDINGS{FITPUB12296,
   author = "Gabriela Ne\v{c}asov\'{a} and Petr Veigend and V\'{a}clav \v{S}\'{a}tek",
   title = "Parallel Solution of Partial Differential Equations Using Taylor Series Method",
   pages = "1--4",
   booktitle = "18th International Conference of Numerical Analysis and Applied Mathematics",
   journal = "AIP Conference Proceedings - American Institute of Physics",
   volume = 2425,
   number = 3,
   year = 2022,
   location = "Rhodes, GR",
   publisher = "American Institute of Physics",
   ISSN = "0094-243X",
   doi = "10.1063/5.0082209",
   language = "english",
   url = "https://www.fit.vut.cz/research/publication/12296"
}
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