Detail publikačního výsledku

Parallel solution of parabolic partial differential equation using higher-order method

NEČASOVÁ, G.; ŠÁTEK, V.

Originální název

Parallel solution of parabolic partial differential equation using higher-order method

Anglický název

Parallel solution of parabolic partial differential equation using higher-order method

Druh

Stať ve sborníku v databázi WoS či Scopus

Originální abstrakt

The article focuses on the parallel numerical solution of parabolic partial differential equation. The method of lines is used for the discretization of the problem, which leads to the large system of ordinary differential equations. The resulting system of ordinary differential equations is solved by higher-order numerical method based on Taylor series. The numerical solution is compared with the state-of-the-art PETSc solvers. The results show that Taylor-series based methods can significantly overperform the state-of-the-art solvers.

Anglický abstrakt

The article focuses on the parallel numerical solution of parabolic partial differential equation. The method of lines is used for the discretization of the problem, which leads to the large system of ordinary differential equations. The resulting system of ordinary differential equations is solved by higher-order numerical method based on Taylor series. The numerical solution is compared with the state-of-the-art PETSc solvers. The results show that Taylor-series based methods can significantly overperform the state-of-the-art solvers.

Klíčová slova

parabolic partial differential equation, method of lines, higher-order numerical method, Taylor series, parallel solution, PETSc

Klíčová slova v angličtině

parabolic partial differential equation, method of lines, higher-order numerical method, Taylor series, parallel solution, PETSc

Autoři

NEČASOVÁ, G.; ŠÁTEK, V.

Rok RIV

2025

Vydáno

07.06.2024

Nakladatel

American Institute of Physics

Místo

Heraklion

Kniha

20th International Conference of Numerical Analysis and Applied Mathematics

ISSN

0094-243X

Periodikum

AIP conference proceedings

Číslo

3094

Stát

Spojené státy americké

Strany od

1

Strany do

4

Strany počet

4

BibTex

@inproceedings{BUT193183,
  author="Gabriela {Nečasová} and Václav {Šátek}",
  title="Parallel solution of parabolic partial differential equation using higher-order method",
  booktitle="20th International Conference of Numerical Analysis and Applied Mathematics",
  year="2024",
  journal="AIP conference proceedings",
  number="3094",
  pages="1--4",
  publisher="American Institute of Physics",
  address="Heraklion",
  doi="10.1063/5.0212373",
  issn="0094-243X"
}