Publication Details

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.
Czech title
Paralelní numerické řešení parciálních diferenciálních rovnic založené na Taylorově řadě
Type
conference paper
Language
English
Authors
Nečasová Gabriela, Ing., Ph.D. (DITS)
Šátek Václav, Ing., Ph.D. (DITS)
URL
Keywords

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

Abstract

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.

Published
2023
Pages
1–4
Journal
AIP conference proceedings, vol. 2023, no. 2849, ISSN 0094-243X
Proceedings
19th International Conference of Numerical Analysis and Applied Mathematics
Publisher
American Institute of Physics
Place
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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