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ŠÁTEK, V. KUNOVSKÝ, J. KOCINA, F. CHALOUPKA, J.
Originální název
Taylor Series Based Computation and MATLAB ODE Solvers Comparison
Typ
článek ve sborníku ve WoS nebo Scopus
Jazyk
angličtina
Originální 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
Autoři
ŠÁTEK, V.; KUNOVSKÝ, J.; KOCINA, F.; CHALOUPKA, J.
Rok RIV
2013
Vydáno
7. 4. 2013
Nakladatel
American Institute of Physics
Místo
Rhodes
ISBN
978-0-7354-1184-5
Kniha
Proceedings of the 11th International Conference of Numerical Analysis and Applied Mathematics
ISSN
0094-243X
Periodikum
AIP conference proceedings
Číslo
1
Stát
Spojené státy americké
Strany od
2289
Strany do
2292
Strany počet
4
URL
https://www.fit.vut.cz/research/publication/10319/
BibTex
@inproceedings{BUT105968, author="Václav {Šátek} and Jiří {Kunovský} and Filip {Kocina} and Jan {Chaloupka}", title="Taylor Series Based Computation and MATLAB ODE Solvers Comparison", 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/" }