Publication Details
New Trends in Taylor Series Based Computations
Šátek Václav, Ing., Ph.D. (DITS FIT BUT)
Kraus Michal, Ing. (DITS FIT BUT)
Differential equations, TKSL, MTSM, ORD, Finite integrals
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.
@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"
}