Conference paperKUNOVSKÝ 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. 282285. ISBN 9780735407053.  Publication language:  english 

Original title:  New Trends in Taylor Series Based Computations 

Title (cs):  Nové trendy ve výpočtech Taylorovou řadou 

Pages:  282285 

Proceedings:  Numerical Analysis and Applied Mathematics 

Conference:  7th International Conference of Numerical Analysis and Applied Mathematics 

Place:  Rethymno, Crete, GR 

Year:  2009 

ISBN:  9780735407053 

Publisher:  American Institute of Physics 

Keywords 

Differential equations, TKSL, MTSM, ORD, Finite integrals 
Annotation 

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. 
BibTeX: 

@INPROCEEDINGS{
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 = {282285},
booktitle = {Numerical Analysis and Applied Mathematics},
year = {2009},
location = {Rethymno, Crete, GR},
publisher = {American Institute of Physics},
ISBN = {9780735407053},
language = {english},
url = {http://www.fit.vutbr.cz/research/view_pub.php?id=9070}
} 
