Detail publikačního výsledku

Parallel Solution of Partial Differential Equations Using Taylor Series Method

NEČASOVÁ, G.; VEIGEND, P.; ŠÁTEK, V.

Originální název

Parallel Solution of Partial Differential Equations Using Taylor Series Method

Anglický název

Parallel Solution of Partial Differential Equations Using Taylor Series Method

Druh

Stať ve sborníku v databázi WoS či Scopus

Originální 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.

Anglický 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

Klíčová slova v angličtině

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

Autoři

NEČASOVÁ, G.; VEIGEND, P.; ŠÁTEK, V.

Rok RIV

2023

Vydáno

06.03.2022

Nakladatel

American Institute of Physics

Místo

Rhodes

Kniha

18th International Conference of Numerical Analysis and Applied Mathematics

ISSN

0094-243X

Periodikum

AIP conference proceedings

Svazek

2425

Číslo

3

Stát

Spojené státy americké

Strany od

1

Strany do

4

Strany počet

4

URL

https://doi.org/10.1063/5.0082209

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"
}