Результаты поиска по 'equations':
Найдено статей: 373
  1. Pogorelova E.A., Lobanov A.I.
    High Performance Computing for Blood Modeling
    Computer Research and Modeling, 2012, v. 4, no. 4, pp. 917-941

    Methods for modeling blood flow and its rheological properties are reviewed. Blood is considered as a particle suspencion. The methods are boundary integral equation method (BIEM), lattice Boltzmann (LBM), finite elements on dynamic mesh, dissipative particle dynamics (DPD) and agent based modeling. The analysis of these methods’ applications on high-performance systems with various architectures is presented.

    Keywords: blood, hemodynamics, nonnewtonian fluid, red blood cells, high performance computing.
    Views (last year): 2. Citations: 3 (RSCI).
  2. Shatrov A.V., Okhapkin V.P.
    Optimal control of bank investment as a factorof economic stability
    Computer Research and Modeling, 2012, v. 4, no. 4, pp. 959-967

    This paper presents a model of replenishment of bank liquidity by additional income of banks. Given the methodological basis for the necessity for bank stabilization funds to cover losses during the economy crisis. An econometric derivation of the equations describing the behavior of the bank financial and operating activity performed. In accordance with the purpose of creating a stabilization fund introduces an optimality criterion used controls. Based on the equations of the behavior of the bank by the method of dynamic programming is derived a vector of optimal controls.

    Keywords: bank liquidity, stabilization fund, nonlinear regression, income function, criterion, optimal control, dynamic programming.
    Views (last year): 5.
  3. Podryga V.O., Polyakov S.V.
    3D molecular dynamic simulation of thermodynamic equilibrium problem for heated nickel
    Computer Research and Modeling, 2015, v. 7, no. 3, pp. 573-579

    This work is devoted to molecular dynamic modeling of the thermal impact processes on the metal sample consisting of nickel atoms. For the solution of this problem, a continuous mathematical model on the basis of the classical Newton mechanics equations has been used; a numerical method based on the Verlet scheme has been chosen; a parallel algorithm has been offered, and its realization within the MPI and OpenMP technologies has been executed. By means of the developed parallel program, the investigation of thermodynamic equilibrium of nickel atoms’ system under the conditions of heating a sample to desired temperature has been executed. In numerical experiments both optimum parameters of calculation procedure and physical parameters of analyzed process have been defined. The obtained numerical results are well corresponding to known theoretical and experimental data.

    Keywords: molecular dynamic simulation, nickel, EAM, temperature, thermostat, Newton mechanics equations, parallel algorithm and program, MPI and OpenMP technologies.
    Views (last year): 2.
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