Faculty of Information Technology, BUT

Publication Details

New Trends in Taylor Series Based Computations

KUNOVSKÝ Jiří, ŠÁTEK Václav and KRAUS Michal. New Trends in Taylor Series Based Computations. In: Numerical Analysis and Applied Mathematics. Rethymno, Crete: American Institute of Physics, 2009, pp. 282-285. ISBN 978-0-7354-0705-3.
Czech title
Nové trendy ve výpočtech Taylorovou řadou
Type
conference paper
Language
english
Authors
Keywords
Differential equations, TKSL, MTSM, ORD, Finite integrals
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.
Published
2009
Pages
282-285
Proceedings
Numerical Analysis and Applied Mathematics
Conference
7th International Conference of Numerical Analysis and Applied Mathematics, Rethymno, Crete, GR
ISBN
978-0-7354-0705-3
Publisher
American Institute of Physics
Place
Rethymno, Crete, GR
BibTeX
@INPROCEEDINGS{FITPUB9070,
   author = "Ji\v{r}\'{i} Kunovsk\'{y} and V\'{a}clav \v{S}\'{a}tek and Michal Kraus",
   title = "New Trends in Taylor Series Based Computations",
   pages = "282--285",
   booktitle = "Numerical Analysis and Applied Mathematics",
   year = 2009,
   location = "Rethymno, Crete, GR",
   publisher = "American Institute of Physics",
   ISBN = "978-0-7354-0705-3",
   language = "english",
   url = "https://www.fit.vut.cz/research/publication/9070"
}
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