Temat: arithmetic - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Selected application of the Chinese remainder theorem in multiparty computation
Autorzy:: Jakubski, A.
Powiązania:: https://bibliotekanauki.pl/articles/122387.pdf
Data publikacji:: 2016
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: multiparty cryptography
secret sharing
distributed algorithms
modular arithmetic
kryptografia wielopartyjna
algorytmy rozproszone
arytmetyka modularna
Opis:: In this paper we present protocols checking the equality of two distributed numbers and calculation of the product in such a way that the distributed numbers are unknown to anyone. The presented protocols use the Chinese Remainder Theorem. As a result, the obtained protocols have many interesting cryptographic features.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2016, 15, 1; 39-47
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 2.

Tytuł:: Numerical modelling of the transient heat transport in a thin gold film using the fuzzy lattice Boltzmann method with α-cuts
Autorzy:: Belkhayat-Piasecka, A.
Korczak, A.
Powiązania:: https://bibliotekanauki.pl/articles/122914.pdf
Data publikacji:: 2016
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: fuzzy lattice Boltzmann method
α-cuts
directed interval arithmetic
analiza przedziałowa
transport ciepła
metoda siatkowa Boltzmanna
Opis:: In this paper a description of heat transfer in one-dimensional crystalline solids is presented. The fuzzy lattice Boltzmann method based on the Boltzmann transport equation is used to simulate the nanoscale heat transport in thin metal films. The fuzzy coupled lattice Boltzmann equations for electrons and phonons are applied to analyze the heating process of thin metal films via a laser pulse. Such an approach in which the parameters appearing in the problem analyzed are treated as constant values is widely used. Here, the model with fuzzy values of relaxation times and an electron-phonon coupling factor is taken into account. The problem formulated has been solved by means of the fuzzy lattice Boltzmann method using the α-cuts and the rules of directed interval arithmetic. The application of α-cuts allows one to avoid complicated arithmetical perations in the fuzzy numbers set. In the final part of the paper the results of numerical computations are shown.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2016, 15, 1; 123-135
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 3.

Tytuł:: Application of the interval Lattice Boltzmann method for a numerical modeling of 2D thin metal films irradiated by ultrashort laser pulses
Autorzy:: Piasecka-Belkhayat, Alicja
Korczak, Anna
Powiązania:: https://bibliotekanauki.pl/articles/122840.pdf
Data publikacji:: 2019
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: lattice Boltzmann method
interval arithmetic
laser irradiation
heat transfer
metoda kratowa Boltzmanna
arytmetyka przedziałowa
promieniowanie laserowe
przenikanie ciepła
Opis:: In the paper, the two-dimensional numerical modelling of heat transfer in thin metal films irradiated by ultrashort laser pulses using the D2Q9 scheme is considered. In the mathematical description, the relaxation times and the boundary conditions for phonons and electrons are given as interval numbers. The problem has been formulated using the interval coupled lattice Boltzmann equations for electrons and phonons. The solution has been obtained by means of the interval lattice Boltzmann method using the rules of directed interval arithmetic. Examples of numerical computations are presented in the final part of the paper.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2019, 18, 4; 63-71
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 4.

Tytuł:: Modelling of transient heat transport in two-layered crystalline solid films using the interval lattice Boltzmann method
Autorzy:: Belkhayat-Piasecka, A.
Korczak, A.
Powiązania:: https://bibliotekanauki.pl/articles/122574.pdf
Data publikacji:: 2017
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: Boltzmann transport equation
interval lattice Boltzmann method
directed interval arithmetic
równanie transportu Boltzmanna
interwałowa metoda siatek Boltzmanna
skierowana arytmetyka interwałowa
Opis:: In the paper, the numerical modelling of heat transfer in one-dimensional crystalline solid films is considered. A generalized two-layer problem is described by the Boltzmann transport equations transformed in the phonon energy density equations supplemented by the adequate boundary-initial conditions. Such an approach in which the parameters appearing in the problem analysed are treated as the constant values is widely used, but in this paper the interval values of relaxation time and the boundary condition for silicon and diamond are taken into account. The problem formulated has been solved by means of the interval lattice Boltzmann method using the rules of directed interval arithmetic. In the final part of the paper the results of numerical computations are presented.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2017, 16, 4; 57-65
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 5.

Tytuł:: Comparison of heat transfer phenomena for two different cryopreservation methods : slow freezing and vitrification
Autorzy:: Skorupa, Anna
Piasecka-Belkhayat, Alicja
Powiązania:: https://bibliotekanauki.pl/articles/2202057.pdf
Data publikacji:: 2023
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: cryopreservation
slow freezing
vitrification
phase change
finite difference method
directed interval arithmetic
kriokonserwacja
powolne zamrażanie
witryfikacja
przemiana fazowa
metoda różnic skończonych
arytmetyka przedziałów skierowanych
Opis:: The purpose of the research is to prepare a mathematical and numerical model for the phenomenon of heat transfer during cryopreservation. In the paper, two popular methods, slow freezing and vitrification, are compared. Furthermore, the basic model of thermal processes is supplemented by the phenomenon of phase transitions. To determine the temperature distribution during cryopreservation processes, one uses the heat transfer equation proposed by Pennes. An integral part of the energy equation is the substitute thermal capacity (STC) performed according to the concept named one domain method (fixed domain method), The numerical model is developed using the finite difference method (FDM) connected with directed interval arithmetic. The final part of the article contains the results of numerical simulations.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2023, 22, 1; 57--69
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

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