Mathematical Models and Computer Simulations

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Analysis of the Properties of the Genetic Code by Mathematical Simulation
Mathematical Models and Computer Simulations - Tập 13 - Trang 445-452 - 2021
N. N. Kozlov, E. I. Kugushev, T. M. Eneev
We consider random changes in the standard genetic code, in which its structure is preserved, and small variations in the genetic code, in which the structure is preserved or changed. The assumption is substantiated that the standard genetic code provides the best possible overlap of genes. The structure and content of the standard genetic code is determined by the condition of the maximum total n...... hiện toàn bộ
On reduction of computational cost of imitation Monte Carlo algorithms for modeling rarefied gas flows
Mathematical Models and Computer Simulations - Tập 4 - Trang 187-202 - 2012
A. I. Khisamutdinov, N. N. Velker
This article describes Monte Carlo methods and algorithms for the Boltzmann equation for rarefied gases problems in the case of large-scale flow areas. We consider imitation or continuous-time Monte Carlo methods where frequencies of interactions of pairs of particles depend on the difference of the coordinates of particles. The question about reduction of computational costs of algorithms is exam...... hiện toàn bộ
The instability of a radiative shock wave in a magnetic field
Mathematical Models and Computer Simulations - Tập 3 - Trang 81-91 - 2011
V. A. Gasilov, A. V. Koldoba, G. V. Ustyugova
The deceleration of matter in a radioactive shock wave has been mathematically simulated. This problem is relevant to the variable radiancy of T Tauri stars. We assume that an ordered magnetic field at the surface of a star is not too great, i.e., B ≤ 100 G. In this case, the initial deceleration and plasma heating (at the entrance to the cooling zone) occur in a fast magnetohydrodynamic (MHD) sho...... hiện toàn bộ
Mathematical Apparatus for Detecting Leakage in Gas Pipelines
Mathematical Models and Computer Simulations - Tập 14 Số 2 - Trang 203-212 - 2022
G. I. Kurbatova, Vladimir A. Klemeshev
Mô hình khắc phục biến dạng trong hệ thống quang phi tuyến với vòng phản hồi trễ Dịch bởi AI
Mathematical Models and Computer Simulations - Tập 7 - Trang 259-270 - 2015
T. E. Romanenko, A. V. Razgulin
Mục tiêu của nghiên cứu này là khảo sát ảnh hưởng của việc khắc phục biến dạng trong một mô hình hệ thống quang học có phản hồi, được mô tả bởi một phương trình phương trình vi phân hàm parabol có độ trễ thời gian và sự dịch chuyển của tham số không gian. Một mô hình đơn giản hóa của các phương trình vi phân có độ trễ được đề xuất để thực hiện nghiên cứu phân tích về việc bù đắp biến dạng hài. Để ...... hiện toàn bộ
#khắc phục biến dạng #hệ thống quang học phi tuyến #phản hồi trễ #phương trình vi phân hàm #bù đắp biến dạng hài
Numerical realization of the three-dimensional model of hydrodynamics for shallow water basins on a high-performance system
Mathematical Models and Computer Simulations - Tập 3 - Trang 562-574 - 2011
A. I. Sukhinov, A. E. Chistyakov, E. V. Alekseenko
The paper is dedicated to the development and application of the 3D shallow water hydrodynamics model. Parallel realization of the deepest descent the symmetric successive over relaxation (SSOR) algorithm is presented for solving finite-difference equations obtained after discretization of the initial problem. Estimates for speeding up and increasing the efficiency of the parallel algorithm are gi...... hiện toàn bộ
Phase formation in a calcium phosphate coating growing on a zirconium substrate with an oxide layer
Mathematical Models and Computer Simulations - Tập 9 - Trang 613-622 - 2017
N. N. Nazarenko, A. G. Knyazeva
A model of the growth of a calcium phosphate coating on a zirconium substrate with respect to the formed oxide sublayer and formation of phases is proposed. The influence of the parameters of the model on the growth of the coating and the evolution of the stresses in the oxide layer and in the coating is investigated. It is shown that the content of the substances formed in the coating increases w...... hiện toàn bộ
Extensive Numerical Simulation of a Magnetically Actuated Satellite’s Rotation around the Direction toward the Sun with Data from the Solar Sensors Only
Mathematical Models and Computer Simulations - Tập 15 - Trang 792-801 - 2023
D. S. Roldugin
Numerical simulation of various stabilization scenarios of the motion a magnetically actuated satellite in the direction toward the Sun is performed. The satellite is equipped with solar sensors as the only attitude information source. The control algorithms are derived to achieve unambiguous stabilization in the direction toward the Sun while maintaining rotation around this direction despite the...... hiện toàn bộ
The initial stage of mass transfer in porous material with two types of pores
Mathematical Models and Computer Simulations - Tập 5 - Trang 575-585 - 2013
A. I. Moshinskij
The initial stage of substance penetration into a porous medium from a finite volume (capacity), after taking into account the relaxation of mass transfer, has been studied. It is suggested that a porous material is modeled by two continua with features of diffusion processes in each of them.
Parallelization algorithm for implicit method computation of hypersonic nonequilibrium gas flow past a body, based on Navier-Stokes equations
Mathematical Models and Computer Simulations - Tập 2 - Trang 252-260 - 2010
A. B. Gorshkov
The earlier proposed algorithm of parallelization of the computer-code developed for solving the two-dimensional stationary Navier-Stokes equations using the implicit iterative scheme is extended to the nonequilibrium gaseous mixture flow. The parallelization algorithm is based on decomposition of the computation region into several parts corresponding to the number of processors, with the mainten...... hiện toàn bộ
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