Detail výsledku
Modern Taylor Series Method
Řezáč David, Ing., Ph.D., CVP - Univerzita tř.vě (CVP), UITS (FIT)
Melkes František, prof. RNDr., CSc., UMAT (FEKT)
The method is based on an original mathematical method which uses theTaylor series method for solving differential equations in anon-traditional way. Even though this method is not much preferred inthe literature, experimental calculations done at the Department ofIntelligent Systems of the Faculty of Information Technology of TU Brnohave shown and theoretical analyses at
the Department of Mathematics of the Faculty of Electrical Engineeringand Communication of TU Brno have verified that the accuracy andstability of the Taylor series method exceeds the currently usedalgorithms for numerically solving differential equations. It has beenverified that the computation quite naturally uses the full hardwareaccuracy of the computer.
The "Modern Taylor Seriers Method" also has some properties veryfavourable for parallel processing. Many calculation operations areindependent making it possible to perform the calculations usingseparate processors of parallel computing systems.
Taylor series, Systems of ordinary differential equations, Applications of Modern Taylor Series Method
@inproceedings{BUT16920,
author="Jiří {Kunovský} and David {Řezáč} and František {Melkes}",
title="Modern Taylor Series Method",
booktitle="Proceedings of 38th International Conference MOSIS '04",
year="2004",
pages="9--20",
publisher="Marq software s.r.o.",
address="Ostrava",
isbn="80-85988-98-4"
}