Detail publikačního výsledku

Parallel Solution of Partial Differential Equations Using Taylor Series Method

NEČASOVÁ, G.; VEIGEND, P.; ŠÁTEK, V.

Original Title

Parallel Solution of Partial Differential Equations Using Taylor Series Method

English Title

Parallel Solution of Partial Differential Equations Using Taylor Series Method

Type

Paper in proceedings (conference paper)

Original 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.

English 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

Key words in English

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

Authors

NEČASOVÁ, G.; VEIGEND, P.; ŠÁTEK, V.

RIV year

2023

Released

06.03.2022

Publisher

American Institute of Physics

Location

Rhodes

Book

18th International Conference of Numerical Analysis and Applied Mathematics

ISBN

0094-243X

Periodical

AIP conference proceedings

Volume

2425

Number

3

State

United States of America

Pages from

1

Pages to

4

Pages count

4

URL

https://doi.org/10.1063/5.0082209

Full text in the Digital Library

http://hdl.handle.net/

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"
}