Detail publikačního výsledku

New Trends in Taylor Series Based Computations

KUNOVSKÝ, J.; ŠÁTEK, V.; KOCINA, F.; NEČASOVÁ, G.; MAREK, M.; SCHIRRER, A.

Originální název

New Trends in Taylor Series Based Computations

Anglický název

New Trends in Taylor Series Based Computations

Druh

Stať ve sborníku v databázi WoS či Scopus

Originální abstrakt

The paper is a part of student cooperation in AKTION project (Austria-Czech) and concentrates on the numerical
solution of partial differential equations (PDEs) using high-order forward, backward and symmetrical formulas. As an
example, the hyperbolic PDE is analyzed. The paper is based on the numerical solution of ordinary differential equations
by the Taylor series method and on the simulation language TKSL that has been created to test the properties of the technical
initial problems and to test an algorithm for Taylor series method. The idea of parallel computations using special integrators
is also a part of the paper.

Anglický abstrakt

The paper is a part of student cooperation in AKTION project (Austria-Czech) and concentrates on the numerical
solution of partial differential equations (PDEs) using high-order forward, backward and symmetrical formulas. As an
example, the hyperbolic PDE is analyzed. The paper is based on the numerical solution of ordinary differential equations
by the Taylor series method and on the simulation language TKSL that has been created to test the properties of the technical
initial problems and to test an algorithm for Taylor series method. The idea of parallel computations using special integrators
is also a part of the paper.

Klíčová slova

Ordinary Differential Equations, Taylor Series Method, TKSL, Partial Differential Equations

Klíčová slova v angličtině

Ordinary Differential Equations, Taylor Series Method, TKSL, Partial Differential Equations

Autoři

KUNOVSKÝ, J.; ŠÁTEK, V.; KOCINA, F.; NEČASOVÁ, G.; MAREK, M.; SCHIRRER, A.

Rok RIV

2015

Vydáno

23.04.2015

Nakladatel

American Institute of Physics

Místo

Rhodes

ISBN

978-0-7354-1287-3

Kniha

12th International Conference of Numerical Analysis and Applied Mathematics

ISSN

0094-243X

Periodikum

AIP conference proceedings

Svazek

2015

Číslo

1648

Stát

Spojené státy americké

Strany od

1

Strany do

4

Strany počet

4

URL

http://dx.doi.org/10.1063/1.3241449

BibTex

@inproceedings{BUT111516,
  author="Jiří {Kunovský} and Václav {Šátek} and Filip {Kocina} and Gabriela {Nečasová} and Martin {Marek} and Alexander {Schirrer}",
  title="New Trends in Taylor Series Based Computations",
  booktitle="12th International Conference of Numerical Analysis and Applied Mathematics",
  year="2015",
  journal="AIP conference proceedings",
  volume="2015",
  number="1648",
  pages="1--4",
  publisher="American Institute of Physics",
  address="Rhodes",
  doi="10.1063/1.4913136",
  isbn="978-0-7354-1287-3",
  issn="0094-243X",
  url="http://dx.doi.org/10.1063/1.3241449"
}