Result Details
Taylor Series Based Solution of Linear ODE Systems and MATLAB Solvers Comparison
ŠÁTEK, V.; KOCINA, F.; KUNOVSKÝ, J.; SCHIRRER, A. Taylor Series Based Solution of Linear ODE Systems and MATLAB Solvers Comparison. In MATHMOD VIENNA 2015 - 8th Vienna Conference on Mathematical Modelling. ARGESIM REPORT No. 44. Vienna: ARGE Simulation News, 2015. p. 693-694. ISBN: 978-3-901608-46-9.
Type
conference paper
Language
English
Authors
Šátek Václav, Ing., Ph.D., DITS (FIT)
Kocina Filip, Ing., Ph.D., DITS (FIT)
Kunovský Jiří, doc. Ing., CSc., DITS (FIT)
Schirrer Alexander, doc. Dr. Ing., FIT (FIT)
Kocina Filip, Ing., Ph.D., DITS (FIT)
Kunovský Jiří, doc. Ing., CSc., DITS (FIT)
Schirrer Alexander, doc. Dr. Ing., FIT (FIT)
Abstract
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.
Keywords
Ordinary differential equations, Initial value problems, Taylor series, MATLAB
URL
Published
2015
Pages
693–694
Proceedings
MATHMOD VIENNA 2015 - 8th Vienna Conference on Mathematical Modelling
Series
ARGESIM REPORT No. 44
Conference
MATHMOD 2015 - 8th Vienna International Conference on Mathematical Modelling
ISBN
978-3-901608-46-9
Publisher
ARGE Simulation News
Place
Vienna
DOI
EID Scopus
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"
}
Files
Projects
Centrum excelence IT4Innovations, MŠMT, Operační program Výzkum a vývoj pro inovace, ED1.1.00/02.0070, start: 2011-01-01, end: 2015-12-31, completed
Modern Taylor Series Method and Parallel Implementation of Numerical Methods for Large Systems, MŠMT, AKTION Česká republika - Rakousko, Aktion, start: 2014-02-10, end: 2015-04-30, completed
Spolehlivost a bezpečnost v IT, BUT, Vnitřní projekty VUT, FIT-S-14-2486, start: 2014-01-01, end: 2016-12-31, completed
Verifikace a optimalizace počítačových systémů, BUT, Vnitřní projekty VUT, FIT-S-12-1, start: 2012-01-01, end: 2014-12-31, completed
Modern Taylor Series Method and Parallel Implementation of Numerical Methods for Large Systems, MŠMT, AKTION Česká republika - Rakousko, Aktion, start: 2014-02-10, end: 2015-04-30, completed
Spolehlivost a bezpečnost v IT, BUT, Vnitřní projekty VUT, FIT-S-14-2486, start: 2014-01-01, end: 2016-12-31, completed
Verifikace a optimalizace počítačových systémů, BUT, Vnitřní projekty VUT, FIT-S-12-1, start: 2012-01-01, end: 2014-12-31, completed
Research groups
Departments