Thesis Details
Semi - analytické výpočty a spojitá simulace
The thesis deals with speedup and accuracy of numerical computation, especially when differential equations are solved. Algorithms, which are fulling these conditions are named semi-analytical.One posibility how to accelerate computation of differential equation is paralelization. Presented paralelization is based on transformation numerical solution into residue number system, which is extended to floating point computation. A new algorithm for modulo multiplication is also proposed. As application applications in solution of differential calculus are the main goal it is discussed numeric integration with modified Euler, Runge - Kutta and Taylor series method in residue number system. Next possibilities and extension for implemented residue number system are mentioned at the end.
Taylor's series method,ordinary differential equations, parallel computation, resudue number system, computation of differential equation in residue number system, algoritm for modulo multiplication based on binary trees
@phdthesis{FITPT339,
author = "Jan Kop\v{r}iva",
type = "Ph.D. thesis",
title = "Semi - analytick\'{e} v\'{y}po\v{c}ty a spojit\'{a} simulace",
school = "Brno University of Technology, Faculty of Information Technology",
year = 2014,
location = "Brno, CZ",
language = "czech",
url = "https://www.fit.vut.cz/study/phd-thesis/339/"
}