Detail výsledku

Taylor Series Method in Numerical Integration: Linear and Nonlinear problems

VEIGEND, P.; NEČASOVÁ, G.; ŠÁTEK, V. Taylor Series Method in Numerical Integration: Linear and Nonlinear problems. In 2022 IEEE 16th International Scientific Conference on Informatics, Informatics 2022 - Proceedings. Poprad: IEEE Communications Society, 2023. p. 239-244. ISBN: 979-8-3503-1034-4.
Typ
článek ve sborníku konference
Jazyk
anglicky
Autoři
Veigend Petr, Ing., Ph.D., UITS (FIT)
Nečasová Gabriela, Ing., Ph.D.
Šátek Václav, Ing., Ph.D., UITS (FIT)
Abstrakt

This article deals with the high order integration method based on the Taylor series. The paper shows positive properties of the Modern Taylor Series Method on a set of technical initial value problems. These problems can be transformed into the autonomous systems of ordinary differential equations for both linear and nonlinear problems, and the solution can be effectively parallelized. The numerical solution is analyzed and compared with the state-of-the-art solvers. 

Klíčová slova

ODE, numerical solution, IVP, MTSM, MATLAB

Rok
2023
Strany
239–244
Sborník
2022 IEEE 16th International Scientific Conference on Informatics, Informatics 2022 - Proceedings
Konference
2022 IEEE 16th International Scientific Conference on Informatics
ISBN
979-8-3503-1034-4
Vydavatel
IEEE Communications Society
Místo
Poprad
DOI
10.1109/Informatics57926.2022.10083462
EID Scopus
2-s2.0-85153364377
BibTeX 
@inproceedings{BUT185117,
  author="Petr {Veigend} and Gabriela {Nečasová} and Václav {Šátek}",
  title="Taylor Series Method in Numerical Integration: Linear and Nonlinear problems",
  booktitle="2022 IEEE 16th International Scientific Conference on Informatics, Informatics 2022 - Proceedings",
  year="2023",
  pages="239--244",
  publisher="IEEE Communications Society",
  address="Poprad",
  doi="10.1109/Informatics57926.2022.10083462",
  isbn="979-8-3503-1034-4"
}
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