Detail publikace

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. p. 1-4. ISSN: 0094-243X.
Název česky
Paralelní numerické řešení parciálních diferenciálních rovnic založené na Taylorově řadě
Typ
článek ve sborníku konference
Jazyk
anglicky
Autoři
Nečasová Gabriela, Ing., Ph.D. (UITS)
Šátek Václav, Ing., Ph.D. (UITS)
URL
Klíčová slova

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

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.

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
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"
}
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