Publication Details

Taylor series based parallel numerical solution of partial differential equations

NEČASOVÁ Gabriela and ŠÁTEK Václav. Taylor series based parallel numerical solution of partial differential equations. In: 19th International Conference of Numerical Analysis and Applied Mathematics. Rhodes: American Institute of Physics, 2023, pp. 1-4. ISSN 0094-243X. Available from: https://www.scopus.com/inward/record.uri?eid=2-s2.0-85176731073&doi=10.1063%2f5.0162190&partnerID=40&md5=30504a3274099e52e62a3725803b7c4b
Czech title
Paralelní numerické řešení parciálních diferenciálních rovnic založené na Taylorově řadě
Type
conference paper
Language
english
Authors
Nečasová Gabriela, Ing., Ph.D. (DITS FIT BUT)
Šátek Václav, Ing., Ph.D. (DITS FIT BUT)
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 - American Institute of Physics, vol. 2023, no. 2849, ISSN 0094-243X
Proceedings
19th International Conference of Numerical Analysis and Applied Mathematics
Conference
19th International Conference of Numerical Analysis and Applied Mathematics, Rhodes, GR
Publisher
American Institute of Physics
Place
Rhodes, GR
DOI
10.1063/5.0162190
EID Scopus
2-s2.0-85176731073
BibTeX 
@INPROCEEDINGS{FITPUB12510,
   author = "Gabriela Ne\v{c}asov\'{a} and V\'{a}clav \v{S}\'{a}tek",
   title = "Taylor series based parallel numerical solution of partial differential equations",
   pages = "1--4",
   booktitle = "19th International Conference of Numerical Analysis and Applied Mathematics",
   journal = "AIP Conference Proceedings - American Institute of Physics",
   volume = 2023,
   number = 2849,
   year = 2023,
   location = "Rhodes, GR",
   publisher = "American Institute of Physics",
   ISSN = "0094-243X",
   doi = "10.1063/5.0162190",
   language = "english",
   url = "https://www.fit.vut.cz/research/publication/12510"
}
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