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ŠÁTEK, V. KOCINA, F. KUNOVSKÝ, J. SCHIRRER, A.
Originální název
Taylor Series Based Solution of Linear ODE Systems and MATLAB Solvers Comparison
Typ
článek ve sborníku ve WoS nebo Scopus
Jazyk
angličtina
Originální abstrakt
The Modern Taylor Series Method (MTSM) is employed here to solve initial value problems of linear ordinary differential equations. An automatic computation of higher Taylor series terms and an efficient, vectorized coding of explicit and implicit schemes enables a very fast computation of the solution to specified accuracy. For a set of benchmark problems from literature, the MTSM significantly outperforms standard solvers. Finally, ideas of parallelizing the MTSM computations are discussed.
Klíčová slova
Ordinary differential equations, Initial value problems, Taylor series, MATLAB
Autoři
ŠÁTEK, V.; KOCINA, F.; KUNOVSKÝ, J.; SCHIRRER, A.
Rok RIV
2015
Vydáno
18. 2. 2015
Nakladatel
ARGE Simulation News
Místo
Vienna
ISBN
978-3-901608-46-9
Kniha
MATHMOD VIENNA 2015 - 8th Vienna Conference on Mathematical Modelling
Edice
ARGESIM REPORT No. 44
Strany od
693
Strany do
694
Strany počet
2
URL
http://www.sciencedirect.com/science/article/pii/S2405896315002116
BibTex
@inproceedings{BUT119809, author="Václav {Šátek} and Filip {Kocina} and Jiří {Kunovský} and Alexander {Schirrer}", title="Taylor Series Based Solution of Linear ODE Systems and MATLAB Solvers Comparison", booktitle="MATHMOD VIENNA 2015 - 8th Vienna Conference on Mathematical Modelling", year="2015", series="ARGESIM REPORT No. 44", pages="693--694", publisher="ARGE Simulation News", address="Vienna", doi="10.1016/j.ifacol.2015.05.210", isbn="978-3-901608-46-9", url="http://www.sciencedirect.com/science/article/pii/S2405896315002116" }