Publication 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. p. 1-4. ISSN: 0094-243X.

Czech title

Paralelní řešení parciálních diferenciálních rovnic metodou Taylorovy řady

Type

conference paper

Language

English

Authors

Nečasová Gabriela, Ing., Ph.D. (DITS)
Veigend Petr, Ing., Ph.D. (DITS)
Šátek Václav, Ing., Ph.D. (DITS)

URL

https://doi.org/10.1063/5.0082209

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, vol. 2425, no. 3, ISSN 0094-243X

Proceedings

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"
}