Detail výsledku

Parallel Solution of Partial Differential Equations Using Taylor Series Method

NEČASOVÁ, G.; VEIGEND, P.; ŠÁTEK, V. Parallel Solution of Partial Differential Equations Using Taylor Series Method. In 18th International Conference of Numerical Analysis and Applied Mathematics. AIP conference proceedings. Rhodes: American Institute of Physics, 2022. no. 3, p. 1-4. ISSN: 0094-243X.
Typ
článek ve sborníku konference
Jazyk
angličtina
Autoři
Nečasová Gabriela, Ing., Ph.D., UITS (FIT)
Veigend Petr, Ing., Ph.D., UITS (FIT)
Šátek Václav, Ing., Ph.D., UITS (FIT)
Abstrakt

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.

Klíčová slova

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

URL
Rok
2022
Strany
1–4
Časopis
AIP conference proceedings, roč. 2425, č. 3, ISSN 0094-243X
Sborník
18th International Conference of Numerical Analysis and Applied Mathematics
Konference
ICNAAM 2020 - 18th International Conference of Numerical Analysis and Applied Mathematics
Vydavatel
American Institute of Physics
Místo
Rhodes
DOI
10.1063/5.0082209
EID Scopus
2-s2.0-85128574131
BibTeX 
@inproceedings{BUT168481,
  author="Gabriela {Nečasová} and Petr {Veigend} and Václav {Šátek}",
  title="Parallel Solution of Partial Differential Equations Using Taylor Series Method",
  booktitle="18th International Conference of Numerical Analysis and Applied Mathematics",
  year="2022",
  journal="AIP conference proceedings",
  volume="2425",
  number="3",
  pages="1--4",
  publisher="American Institute of Physics",
  address="Rhodes",
  doi="10.1063/5.0082209",
  issn="0094-243X",
  url="https://doi.org/10.1063/5.0082209"
}
Projekty
Spolehlivé, bezpečné a efektivní počítačové systémy, VUT, Vnitřní projekty VUT, FIT-S-20-6427, zahájení: 2020-03-01, ukončení: 2023-02-28, ukončen
Výzkumné skupiny
Výzkumná skupina vysoce náročné výpočty (VZ HPC)
Pracoviště
Ústav inteligentních systémů (UITS)
Nahoru