Detail publikace

New Trends in Taylor Series Based Computations

Originální název

New Trends in Taylor Series Based Computations

Anglický název

New Trends in Taylor Series Based Computations

Jazyk

en

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.

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",
  annote="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.",
  address="American Institute of Physics",
  booktitle="12th International Conference of Numerical Analysis and Applied Mathematics",
  chapter="111516",
  doi="10.1063/1.4913136",
  edition="NEUVEDEN",
  howpublished="print",
  institution="American Institute of Physics",
  number="1648",
  year="2015",
  month="april",
  pages="1--4",
  publisher="American Institute of Physics",
  type="conference paper"
}