Detail publikačního výsledku

Parallel Solution of Telegraph Line

NEČASOVÁ, G.; ŠÁTEK, V.

Originální název

Parallel Solution of Telegraph Line

Anglický název

Parallel Solution of Telegraph Line

Druh

Stať ve sborníku v databázi WoS či Scopus

Originální 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.

Anglický 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

Klíčová slova v angličtině

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

Autoři

NEČASOVÁ, G.; ŠÁTEK, V.

Rok RIV

2020

Vydáno

24.07.2019

Nakladatel

American Institute of Physics

Místo

Rhodes

Kniha

16th International Conference of Numerical Analysis and Applied Mathematics

ISSN

0094-243X

Periodikum

AIP conference proceedings

Svazek

2019

Číslo

7

Stát

Spojené státy americké

Strany od

1

Strany do

4

Strany počet

4

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"
}