Result Details

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.
Type
conference paper
Language
English
Authors
Nečasová Gabriela, Ing., Ph.D.
Šátek Václav, Ing., Ph.D., DITS (FIT)
Abstract

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.

Keywords

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

Published
2019
Pages
1–4
Journal
AIP conference proceedings, vol. 2019, no. 7, ISSN 0094-243X
Proceedings
16th International Conference of Numerical Analysis and Applied Mathematics
Conference
International Conference on Numerical Analysis and Applied Mathematics (ICNAAM)
Publisher
American Institute of Physics
Place
Rhodes
DOI
10.1063/1.5114333
UT WoS
000521108600324
EID Scopus
2-s2.0-85069960818
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"
}
Projects
Bezpečné a spolehlivé počítačové systémy, BUT, Vnitřní projekty VUT, FIT-S-17-4014, start: 2017-03-01, end: 2020-02-29, completed
Research groups
High Performance Computing Research Group (RG HPC)
Departments
Department of Intelligent Systems (DITS)
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