Publication Details

Parallel solution of partial differential equations using Taylor series method

NEČASOVÁ, G.; ŠÁTEK, V. Parallel solution of partial differential equations using Taylor series method. Ostrava: 2022. p. 1 (1 s.).

Czech title

Paralelní řešení parciálních diferenciálních rovnic metodou Taylorovy řady

Type

presentation, poster

Language

English

Authors

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

Abstract

The contribution focuses on the parallel numerical solution of partial differential equations. The original problem is transformed into the system of ordinary differential equations using the method of lines. The resulting system of ordinary differential equations is solved by a higher-order numerical method based on the 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.

Published

2022

Pages

1–1

Place

Ostrava

BibTeX

@misc{BUT187002,
  author="Gabriela {Nečasová} and Václav {Šátek}",
  title="Parallel solution of partial differential equations using Taylor series method",
  year="2022",
  pages="1--1",
  address="Ostrava",
  note="presentation, poster"
}