Detail publikace

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

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

Jazyk

en

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.

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",
  annote="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.",
  address="ARGE Simulation News",
  booktitle="MATHMOD VIENNA 2015 - 8th Vienna Conference on Mathematical Modelling",
  chapter="119809",
  doi="10.1016/j.ifacol.2015.05.210",
  edition="ARGESIM REPORT No. 44",
  howpublished="print",
  institution="ARGE Simulation News",
  year="2015",
  month="february",
  pages="693--694",
  publisher="ARGE Simulation News",
  type="conference paper"
}