Publication Details
Parallel Solution of Telegraph Line
NEČASOVÁ Gabriela and ŠÁTEK Václav. Parallel Solution of Telegraph Line. In: 16th International Conference of Numerical Analysis and Applied Mathematics. Rhodes: American Institute of Physics, 2019, pp. 1-4. ISSN 0094-243X.
Czech title
Paralelní řešení telegrafní rovnice
Type
conference paper
Language
english
Authors
Keywords
telegraph line, parallel solution, partial differential equations, ordinary differential equations, Modern Taylor Series Method
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.
Published
2019
Pages
1-4
Journal
AIP Conference Proceedings - American Institute of Physics, vol. 2019, no. 7, ISSN 0094-243X
Proceedings
16th International Conference of Numerical Analysis and Applied Mathematics
Conference
16th International Conference of Numerical Analysis and Applied Mathematics, Rhodes, GR
Publisher
American Institute of Physics
Place
Rhodes, GR
DOI
UT WoS
000521108600324
EID Scopus
BibTeX
@INPROCEEDINGS{FITPUB11751,
author = "Gabriela Ne\v{c}asov\'{a} and V\'{a}clav \v{S}\'{a}tek",
title = "Parallel Solution of Telegraph Line",
pages = "1--4",
booktitle = "16th International Conference of Numerical Analysis and Applied Mathematics",
journal = "AIP Conference Proceedings - American Institute of Physics",
volume = 2019,
number = 7,
year = 2019,
location = "Rhodes, GR",
publisher = "American Institute of Physics",
ISSN = "0094-243X",
doi = "10.1063/1.5114333",
language = "english",
url = "https://www.fit.vut.cz/research/publication/11751"
}