Detail publikace

New Trends in Taylor Series Based Applications

KOCINA, F. ŠÁTEK, V. VEIGEND, P. NEČASOVÁ, G. VALENTA, V. KUNOVSKÝ, J.

Originální název

New Trends in Taylor Series Based Applications

Anglický název

New Trends in Taylor Series Based Applications

Jazyk

en

Originální abstrakt

The paper deals with the solution of large system of linear ODEs when minimal comunication among parallel processors is required. The Modern Taylor Series Method (MTSM) is used. The MTSM allows using a higher order during the computation that means a larger integration step size while keeping desired accuracy. As an example of complex systems we can take the Telegraph Equation Model. Symbolic and numeric solutions are compared when harmonic input signal is used.

Anglický abstrakt

The paper deals with the solution of large system of linear ODEs when minimal comunication among parallel processors is required. The Modern Taylor Series Method (MTSM) is used. The MTSM allows using a higher order during the computation that means a larger integration step size while keeping desired accuracy. As an example of complex systems we can take the Telegraph Equation Model. Symbolic and numeric solutions are compared when harmonic input signal is used.

Dokumenty

BibTex


@inproceedings{BUT120374,
  author="Filip {Kocina} and Václav {Šátek} and Petr {Veigend} and Gabriela {Nečasová} and Václav {Valenta} and Jiří {Kunovský}",
  title="New Trends in Taylor Series Based Applications",
  annote="The paper deals with the solution of large system of linear ODEs when minimal
comunication among parallel processors is required. The Modern Taylor Series
Method (MTSM) is used. The MTSM allows using a higher order during the
computation that means a larger integration step size while keeping desired
accuracy. As an example of complex systems we can take the Telegraph Equation
Model. Symbolic and numeric solutions are compared when harmonic input signal is
used.",
  address="American Institute of Physics",
  booktitle="13rd International Conference of Numerical Analysis and Applied Mathematics",
  chapter="120374",
  doi="10.1063/1.4952173",
  edition="NEUVEDEN",
  howpublished="online",
  institution="American Institute of Physics",
  number="1648",
  year="2015",
  month="september",
  pages="1--4",
  publisher="American Institute of Physics",
  type="conference paper"
}