Detail výsledku

Taylor Series Based Computations and MATLAB ODE Solvers Comparisons

ŠÁTEK, V.; KUNOVSKÝ, J.; KOCINA, F.; CHALOUPKA, J. Taylor Series Based Computations and MATLAB ODE Solvers Comparisons. In Proceedings of the 11th International Conference of Numerical Analysis and Applied Mathematics. AIP conference proceedings. Rhodes: American Institute of Physics, 2013. no. 1, p. 2289-2292. ISBN: 978-0-7354-1184-5. ISSN: 0094-243X.
Typ
článek ve sborníku konference
Jazyk
anglicky
Autoři
Šátek Václav, Ing., Ph.D., UITS (FIT)
Kunovský Jiří, doc. Ing., CSc., UITS (FIT)
Kocina Filip, Ing., Ph.D., UITS (FIT)
Chaloupka Jan, Ing.
Abstrakt

The paper deals with possibilities of numerical solution of Ordinary Differential Equations (ODEs) - Initial Value Problems using Taylor series methods with automatic computation of higher Taylor series terms.
The explicit and implicit scheme of Taylor series method is compared with numerical solvers implemented in MATLAB software. The computation time and accuracy is compared on the set of ODEs test examples [article - Comparing numerical methods for ordinary differential equations. SIAM and article - Two FORTRAN Packages for Assessing Initial Value Methods].

Klíčová slova

Taylor series method, Ordinary Differential Equations, Initial Value Problems, MATLAB ode Solvers

Rok
2013
Strany
2289–2292
Časopis
AIP conference proceedings, č. 1, ISSN 0094-243X
Sborník
Proceedings of the 11th International Conference of Numerical Analysis and Applied Mathematics
Konference
11th International Conference of Numerical Analysis and Applied Mathematics
ISBN
978-0-7354-1184-5
Vydavatel
American Institute of Physics
Místo
Rhodes
DOI
10.1063/1.4825997
UT WoS
000331472800533
EID Scopus
2-s2.0-84887533325
BibTeX 
@inproceedings{BUT105968,
  author="Václav {Šátek} and Jiří {Kunovský} and Filip {Kocina} and Jan {Chaloupka}",
  title="Taylor Series Based Computations and MATLAB ODE Solvers Comparisons",
  booktitle="Proceedings of the 11th International Conference of Numerical Analysis and Applied Mathematics",
  year="2013",
  journal="AIP conference proceedings",
  number="1",
  pages="2289--2292",
  publisher="American Institute of Physics",
  address="Rhodes",
  doi="10.1063/1.4825997",
  isbn="978-0-7354-1184-5",
  issn="0094-243X",
  url="https://www.fit.vut.cz/research/publication/10319/"
}
Soubory
Projekty
Centrum excelence IT4Innovations, MŠMT, Operační program Výzkum a vývoj pro inovace, ED1.1.00/02.0070, zahájení: 2011-01-01, ukončení: 2015-12-31, ukončen
Výzkum informačních technologií z hlediska bezpečnosti, MŠMT, Institucionální prostředky SR ČR (např. VZ, VC), MSM0021630528, zahájení: 2007-01-01, ukončení: 2013-12-31, řešení
Výzkumné skupiny
Výzkumná skupina vysoce náročné výpočty (VZ HPC)
Pracoviště
Ústav inteligentních systémů (UITS)
Nahoru