Publication detail

New Trends in Taylor Series Based Computations

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

Original Title

New Trends in Taylor Series Based Computations

Type

conference paper

Language

English

Original Abstract

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.

Keywords

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

Authors

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

RIV year

2015

Released

23. 4. 2015

Publisher

American Institute of Physics

Location

Rhodes

ISBN

978-0-7354-1287-3

Book

12th International Conference of Numerical Analysis and Applied Mathematics

ISBN

0094-243X

Periodical

AIP conference proceedings

Year of study

2015

Number

1648

State

United States of America

Pages from

1

Pages to

4

Pages count

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"
}