Detail publikačního výsledku

Taylor Series Based Solution of Linear ODE Systems and MATLAB Solvers Comparison

ŠÁTEK, V.; KOCINA, F.; KUNOVSKÝ, J.; SCHIRRER, A.

Originální název

Taylor Series Based Solution of Linear ODE Systems and MATLAB Solvers Comparison

Anglický název

Taylor Series Based Solution of Linear ODE Systems and MATLAB Solvers Comparison

Druh

Stať ve sborníku v databázi WoS či Scopus

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.

Anglický 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

Klíčová slova v angličtině

Ordinary differential equations, Initial value problems, Taylor series, MATLAB

Autoři

ŠÁTEK, V.; KOCINA, F.; KUNOVSKÝ, J.; SCHIRRER, A.

Rok RIV

2016

Vydáno

18.02.2015

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"
}

Dokumenty

0241