Browsing by Subject "exponential function"

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Charakteryzacja funkcji wykładniczej za pomocą równań funkcyjnych
(Data obrony: 2010-07-08) Mika, Iwona
Wydział Matematyki Stosowanej
Access status: Open Access ,
Implementacja w układach FPGA modułu obliczającego funkcję jednoelektronową
(Wydawnictwa AGH, 2009) Wielgosz, Maciej; Jamro, Ernest; Wiatr, Kazimierz
This paper presents an FPGA implementation of a finite sum of the exponential products (orbital function) calculation module. The module is composed of several units. All of them are specially designed, fully pipelined floating-point modules optimized for high speed performance, up to 200 MHz. Execution results revealed speed-up of 5x for the finite sum of the exponential products comparing to Intel Itanium 2 1.6 processor. Orbital function is a computationally critical part of the Hartree-Fock algorithm. Therefore an approach presented here aims to increase the performance of the whole quantum chemistry computational system by extending it with FPGA-based accelerator which is composed of two Xilinx Virtex-4 LX200 chips. It is worth underlining that achieved speed-up is limited by an external memory width constrain. Thus it can be expected that in foreseeable future introduction of next generation of FPGA-based accelerators will allow to increase the speed-up by just porting a project to them without adoption of any changes in the module's architecture.
Access status: Open Access ,
Periodic solutions in multivariate invariance arguments
(2013) Chudziak, Jacek; Wójcik, Sebastian
Inspired by the recent results of A.E. Abbas we determine continuous multivariate utility functions invariant with respect to a wide family of transformations related to the shift transformations.
Access status: Open Access ,
Solutions of fractional nabla difference equations - existence and uniqueness
(2016) Jonnalagadda, Jagan Mohan
In this article, we discuss existence, uniqueness and dependency of solutions of nonlinear fractional nabla difference equations in a Banach space equipped with a suitable norm, using the contractive mapping approach. As an application of the established results we present and analyse a few examples.
Access status: Restricted ,
Twierdzenie Floqueta
(Data obrony: 2013-07-05) Maludzińska, Olga
Wydział Matematyki Stosowanej
Access status: Restricted ,
Zastosowanie teorii równań różnicowych do ciągłego i dyskretnego modelu Malthusa
(Data obrony: 2016-04-28) Aksamit, Natalia
Wydział Matematyki Stosowanej