Detail výsledku

Taylor series based parallel numerical solution of partial differential equations

NEČASOVÁ, G.; ŠÁTEK, V. Taylor series based parallel numerical solution of partial differential equations. In 19th International Conference of Numerical Analysis and Applied Mathematics. AIP conference proceedings. Rhodes: American Institute of Physics, 2023. no. 2849, p. 1-4. ISSN: 0094-243X.
Typ
článek ve sborníku konference
Jazyk
anglicky
Autoři
Nečasová Gabriela, Ing., Ph.D.
Šátek Václav, Ing., Ph.D., UITS (FIT)
Abstrakt

The article deals with the parallel numerical solution of linear partial differential equations using the Method of Lines. The numerical solution is obtained using the variable step-size and the variable order Taylor series method. The numerical solution is compared with the state-of-the-art PETSc solvers.

Klíčová slova

parallel solution, partial differential equations, heat equation, ordinary differential equations, Modern Taylor Series Method

URL
Rok
2023
Strany
1–4
Časopis
AIP conference proceedings, roč. 2023, č. 2849, ISSN 0094-243X
Sborník
19th International Conference of Numerical Analysis and Applied Mathematics
Konference
ICNAAM 2021 - 19th International Conference of Numerical Analysis and Applied Mathematics
Vydavatel
American Institute of Physics
Místo
Rhodes
DOI
10.1063/5.0162190
EID Scopus
2-s2.0-85176731073
BibTeX 
@inproceedings{BUT187000,
  author="Gabriela {Nečasová} and Václav {Šátek}",
  title="Taylor series based parallel numerical solution of partial differential equations",
  booktitle="19th International Conference of Numerical Analysis and Applied Mathematics",
  year="2023",
  journal="AIP conference proceedings",
  volume="2023",
  number="2849",
  pages="1--4",
  publisher="American Institute of Physics",
  address="Rhodes",
  doi="10.1063/5.0162190",
  issn="0094-243X",
  url="https://www.scopus.com/inward/record.uri?eid=2-s2.0-85176731073&doi=10.1063%2f5.0162190&partnerID=40&md5=30504a3274099e52e62a3725803b7c4b"
}
Projekty
Spolehlivé, bezpečné a efektivní počítačové systémy, VUT, Vnitřní projekty VUT, FIT-S-20-6427, zahájení: 2020-03-01, ukončení: 2023-02-28, ukončen
Výzkumné skupiny
Výzkumná skupina inteligentních systémů (VZ INTSYS)
Výzkumná skupina vysoce náročné výpočty (VZ HPC)
Pracoviště
Ústav inteligentních systémů (UITS)
Nahoru