Result Details

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.
Type
conference paper
Language
English
Authors
Nečasová Gabriela, Ing., Ph.D., DITS (FIT)
Veigend Petr, Ing., Ph.D., DITS (FIT)
Šátek Václav, Ing., Ph.D., DITS (FIT)
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.

Keywords

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

URL
Published
2022
Pages
1–4
Journal
AIP conference proceedings, vol. 2425, no. 3, ISSN 0094-243X
Proceedings
18th International Conference of Numerical Analysis and Applied Mathematics
Conference
ICNAAM 2020 - 18th International Conference of Numerical Analysis and Applied Mathematics
Publisher
American Institute of Physics
Place
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"
}
Projects
Spolehlivé, bezpečné a efektivní počítačové systémy, BUT, Vnitřní projekty VUT, FIT-S-20-6427, start: 2020-03-01, end: 2023-02-28, completed
Research groups
High Performance Computing Research Group (RG HPC)
Departments
Department of Intelligent Systems (DITS)
Back to top