Publication detail

Semi-analytical Computations Based on TKSL

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

Original Title

Semi-analytical Computations Based on TKSL

Type

article in a collection out of WoS and Scopus

Language

English

Original Abstract

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.

Keywords

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

Authors

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

RIV year

2008

Released

8. 9. 2008

Publisher

IEEE Computer Society

Location

Liverpool

ISBN

978-0-7695-3325-4

Book

Second UKSIM European Symposium on Computer Modeling and Simulation

Pages from

159

Pages to

164

Pages count

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"
}