Parallel solution of parabolic partial differential equation using higher-order method
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26230%2F24%3APU154536" target="_blank" >RIV/00216305:26230/24:PU154536 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1063/5.0212373" target="_blank" >http://dx.doi.org/10.1063/5.0212373</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1063/5.0212373" target="_blank" >10.1063/5.0212373</a>
Alternative languages
Result language
angličtina
Original language name
Parallel solution of parabolic partial differential equation using higher-order method
Original language description
The article focuses on the parallel numerical solution of parabolic partial differential equation. The method of lines is used for the discretization of the problem, which leads to the large system of ordinary differential equations. The resulting system of ordinary differential equations is solved by higher-order numerical method based on 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.
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
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OECD FORD branch
10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)
Result continuities
Project
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Continuities
S - Specificky vyzkum na vysokych skolach
Others
Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
20th International Conference of Numerical Analysis and Applied Mathematics
ISBN
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ISSN
0094-243X
e-ISSN
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Number of pages
4
Pages from-to
1-4
Publisher name
American Institute of Physics
Place of publication
Heraklion
Event location
Crete
Event date
Sep 19, 2022
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
001244923000289