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National Repository of Grey Literature 2 records found  Search took 0.00 seconds. 
Semi - analytical computations and continuous systems simulation
 Kopřiva, Jan ; Kubátová, Hana (referee) ; Novitzká,, Valerie (referee) ; Kunovský, Jiří (advisor)
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.
Detailed record
Semi - analytical computations and continuous systems simulation
 Kopřiva, Jan ; Kubátová, Hana (referee) ; Novitzká,, Valerie (referee) ; Kunovský, Jiří (advisor)
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.
Detailed record

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