Publication detail

New Trends in Taylor Series Based Computations

KUNOVSKÝ, J. ŠÁTEK, V. KRAUS, M.

Original Title

New Trends in Taylor Series Based Computations

English Title

New Trends in Taylor Series Based Computations

Type

conference paper

Language

en

Original Abstract

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.

English abstract

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.

Keywords

Differential equations, TKSL, MTSM, ORD, Finite integrals

RIV year

2009

Released

18.09.2009

Publisher

American Institute of Physics

Location

Rethymno, Crete

ISBN

978-0-7354-0705-3

Book

Numerical Analysis and Applied Mathematics

Edition

NEUVEDEN

Edition number

NEUVEDEN

Pages from

282

Pages to

285

Pages count

4

BibTex


@inproceedings{BUT33746,
  author="Jiří {Kunovský} and Václav {Šátek} and Michal {Kraus}",
  title="New Trends in Taylor Series Based Computations",
  annote="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.",
  address="American Institute of Physics",
  booktitle="Numerical Analysis and Applied Mathematics",
  chapter="33746",
  edition="NEUVEDEN",
  howpublished="print",
  institution="American Institute of Physics",
  year="2009",
  month="september",
  pages="282--285",
  publisher="American Institute of Physics",
  type="conference paper"
}