Detail publikačního výsledku

New Trends in Taylor Series Based Computations

KUNOVSKÝ, J.; ŠÁTEK, V.; KRAUS, M.

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

Motto: For the derivates of all decent functions analytic formulas can be found but with integration this is only
true for very special decent functions.
The aim of our paper is to describe new modern numerical methods based on the Taylor Series Method and to show how
to compare speed and accuracy of numerical methods. It is also the aim of our paper to show how to calculate finite integrals
that are the fundamental part in signal processing, especially in Fourier analysis. It is a fact that the accuracy and stability
of the algorithms we have designed significantly exceeds the presently known systems from abroad. In particular, the paper
wants to concentrate, using the previous results and latest development trends, on the simulation of dynamic systems and on
extremely exact mathematical computations.

Anglický abstrakt

Motto: For the derivates of all decent functions analytic formulas can be found but with integration this is only
true for very special decent functions.
The aim of our paper is to describe new modern numerical methods based on the Taylor Series Method and to show how
to compare speed and accuracy of numerical methods. It is also the aim of our paper to show how to calculate finite integrals
that are the fundamental part in signal processing, especially in Fourier analysis. It is a fact that the accuracy and stability
of the algorithms we have designed significantly exceeds the presently known systems from abroad. In particular, the paper
wants to concentrate, using the previous results and latest development trends, on the simulation of dynamic systems and on
extremely exact mathematical computations.

Klíčová slova

Differential equations, TKSL, MTSM, ORD, Finite integrals

Klíčová slova v angličtině

Differential equations, TKSL, MTSM, ORD, Finite integrals

Autoři

KUNOVSKÝ, J.; ŠÁTEK, V.; KRAUS, M.

Rok RIV

2010

Vydáno

18.09.2009

Nakladatel

American Institute of Physics

Místo

Rethymno, Crete

ISBN

978-0-7354-0705-3

Kniha

Numerical Analysis and Applied Mathematics

Strany od

282

Strany do

285

Strany počet

4

BibTex

@inproceedings{BUT33746,
  author="Jiří {Kunovský} and Václav {Šátek} and Michal {Kraus}",
  title="New Trends in Taylor Series Based Computations",
  booktitle="Numerical Analysis and Applied Mathematics",
  year="2009",
  pages="282--285",
  publisher="American Institute of Physics",
  address="Rethymno, Crete",
  isbn="978-0-7354-0705-3"
}