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Titlebook: Mathematical Modeling and Supercomputer Technologies; 20th International C Dmitry Balandin,Konstantin Barkalov,Iosif Meyerov Conference pro

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Mikhail Andreevich Fedotkin,Ekaterina Vadimovna Proydakovaiterature which has devoted itself to precisely this point.. This work is of interest because of the new light it has shed on the combined structural and strategic origin of market power; that is, on the hoary question of the persistence and profitability of dominant firms (compare Posner, 1972, p.
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Mathematical Rigor in Applied Mathematics Based on the Nonstandard Analysis discusses the role of mathematical rigor in applied mathematics. The discussion focuses on the question of relationship between continuous processes and their computer modeling. The question of mathematically rigorous formalization of physical theories, which goes back to Hilbert’s 6th problem and
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Algorithms and Scenarios of Online Decision Support System for Selection of the Distribution Laws of finite second moment is considered. Algorithms and scenarios of the system operation are given. The main priority is a practical application-oriented approach based on minimal data sets and user’s criteria to select the most appropriate type of distribution law out of a finite set of models. The pr
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Application of the Entropic Tilt Limiter to Solve the Gas Dynamics Equations Using the Implicit Sche. The implicit scheme is based on the representation of a system of grid equations in the “delta form”. To solve the SLAE obtained during the approximation of the initial equations, solvers from the NVIDIA AmgX library are used. To ensure the monotonicity of the solution, a tilt limiter was proposed
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Methods for Simulation the Nonlinear Dynamics of Gyrotronsction in the gyrotron cavity. Two mathematical models are considered: the stationary model that reduces to the Sturm—Liouville problem for the inhomogeneous string equation, and the time-depended model that combines the Schrödinger equation and equations of electron motion. The algorithms described
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Hierarchy of Models of Quasi-stationary Electromagnetic Fields magnetic approximation, the non-relativistic electric approximations and the generalizing quasi-stationary approximation, in which the displacement current contains only a component corresponding to the potential part of the electric field, are considered. The relationship between solutions of init
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Numerical Simulation of the Wind Resonance of the Bridge Based on Scale-Resolving Approachestions the numerical solution of the Reynolds equations system (RANS) does not allow one to estimate the critical flow velocity at which wind resonance is observed. It has been established that modern CFD scale-resolving approaches (LES, DES) make it possible to obtain adequate estimates of the corre
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