Detail publikačního výsledku

Semi-analytical Computations Based on TKSL

KUNOVSKÝ, J.; ŠÁTEK, V.; KRAUS, M.; KOPŘIVA, J.

Originální název

Semi-analytical Computations Based on TKSL

Anglický název

Semi-analytical Computations Based on TKSL

Druh

Stať ve sborníku mimo WoS a Scopus

Originální abstrakt

The paper deals with semi-analytical computations and gives the examples of absolutely exact solutions that can be obtained using numerical solutions of differential equations. Numerical solutions of differential equations based on the Taylor series are implemented in a simulation language TKSL. Polynomials functions, Finite integrals, Fourier Series and Exponential functions are but a few examples of successful application areas. The main idea behind the Modern Taylor Series Method is an automatic integration method order setting, i.e. using as many Taylor series terms for computing as needed to achieve the required accuracy. The Modern Taylor Series Method used in the computations increases the method order automatically, i.e. the values of the Taylor series terms are computed for increasing integer values of p until adding the next term does not improve the accuracy of the solution.

Anglický abstrakt

The paper deals with semi-analytical computations and gives the examples of absolutely exact solutions that can be obtained using numerical solutions of differential equations. Numerical solutions of differential equations based on the Taylor series are implemented in a simulation language TKSL. Polynomials functions, Finite integrals, Fourier Series and Exponential functions are but a few examples of successful application areas. The main idea behind the Modern Taylor Series Method is an automatic integration method order setting, i.e. using as many Taylor series terms for computing as needed to achieve the required accuracy. The Modern Taylor Series Method used in the computations increases the method order automatically, i.e. the values of the Taylor series terms are computed for increasing integer values of p until adding the next term does not improve the accuracy of the solution.

Klíčová slova

differential equation, Taylor series, TKSL, Polynomials functions, Finite integrals, Fourier Series, Exponential functions

Klíčová slova v angličtině

differential equation, Taylor series, TKSL, Polynomials functions, Finite integrals, Fourier Series, Exponential functions

Autoři

KUNOVSKÝ, J.; ŠÁTEK, V.; KRAUS, M.; KOPŘIVA, J.

Rok RIV

2010

Vydáno

08.09.2008

Nakladatel

IEEE Computer Society

Místo

Liverpool

ISBN

978-0-7695-3325-4

Kniha

Second UKSIM European Symposium on Computer Modeling and Simulation

Strany od

159

Strany do

164

Strany počet

6

BibTex

@inproceedings{BUT32115,
  author="Jiří {Kunovský} and Václav {Šátek} and Michal {Kraus} and Jan {Kopřiva}",
  title="Semi-analytical Computations Based on TKSL",
  booktitle="Second UKSIM European Symposium on Computer Modeling and Simulation",
  year="2008",
  pages="159--164",
  publisher="IEEE Computer Society",
  address="Liverpool",
  isbn="978-0-7695-3325-4"
}