Detail výsledku

Parallel Solution of Telegraph Line

NEČASOVÁ, G.; ŠÁTEK, V. Parallel Solution of Telegraph Line. In 16th International Conference of Numerical Analysis and Applied Mathematics. AIP conference proceedings. Rhodes: American Institute of Physics, 2019. no. 7, p. 1-4. ISSN: 0094-243X.
Typ
článek ve sborníku konference
Jazyk
anglicky
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Abstrakt

This article deals with the parallel numerical solution of the telegraph line.
Telegraph partial differential equation is replaced by the system of ordinary
differential equations. The problem is represented using sparse matrix.
The general form of parallelization for the linear systems is introduced.
The numerical solution is obtained using variable step-size, variable order Modern Taylor Series Method,
which is based on a recurrent calculation of the Taylor series terms for each time interval.

Klíčová slova

telegraph line, parallel solution, partial differential equations, ordinary differential equations, Modern Taylor Series Method

Rok
2019
Strany
1–4
Časopis
AIP conference proceedings, roč. 2019, č. 7, ISSN 0094-243X
Sborník
16th International Conference of Numerical Analysis and Applied Mathematics
Konference
International Conference on Numerical Analysis and Applied Mathematics (ICNAAM)
Vydavatel
American Institute of Physics
Místo
Rhodes
DOI
UT WoS
000521108600324
EID Scopus
BibTeX
@inproceedings{BUT158065,
  author="Gabriela {Nečasová} and Václav {Šátek}",
  title="Parallel Solution of Telegraph Line",
  booktitle="16th International Conference of Numerical Analysis and Applied Mathematics",
  year="2019",
  journal="AIP conference proceedings",
  volume="2019",
  number="7",
  pages="1--4",
  publisher="American Institute of Physics",
  address="Rhodes",
  doi="10.1063/1.5114333",
  issn="0094-243X"
}
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