Geodesic

Sommaire du Fascicule no. 1

The aerodynamic characteristics of the body being flown around under different location of the warm needle
p. 3-10
Modelling substance spreading in 2d steady free-surfaced stream
p. 11-24
About mathematical modelling of multidimensional ion implantation problems
p. 25-38
Self-similar solutions of magnetohydrodynamics equations with volume sources and flows
p. 39-52
On eigenvalues and eigenfunctions of a non-classical boundary value problem
p. 53-63
The strange attractor in a mathematical model of the two-level quantum generator
p. 64-68
Almost Hadamard circulants construction methods and their possible applications
p. 69-76
The efficient numerical methods for integration the one-dimensional problems in gas dynamics
p. 77-92
On a certain model hyperbolic equation arising in radiophysics
p. 93-102
Numerical simulation of buoyancy-driven flows in complex domains
p. 103-118

Sommaire du Fascicule no. 2

Dynamic adaptive physically-structural model of ionospheric sky-wave channel
p. 3-18
Parallel iterative method for 2D equation of radiation transport
p. 19-28
Model of porous media thermodynamics
p. 29-36
Formation of quasistationary domain structures in a competing species model
p. 37-47
The theoretical deduction of the set of equations for the Ion model of matter under relativistic approximation
p. 48-56
Simulation of kink equilibrium with magnetic islands using flux coordinates
p. 57-65
Optimal smoothig of experimental data including derivatives
p. 66-74
Some problems on the two-fluid MHD with a transverse magnetic field
p. 75-90
Mathematical modelling of dynamics of liquid with utilization of graph theory
p. 91-105
Numerical simulation of the electrodes displacements during acceleration of conducting macrobody in rail gun bore
p. 106-114
Mathematical model of $\mathrm{NO}+\mathrm{CO}/\mathrm{Pt}(100)$ reaction. Comparison of simulation results with experimental data
p. 115-127

Sommaire du Fascicule no. 3

Mathematical simulation of interactive physical processes in industrial electrochemical devices in three dimensions
p. 3-26
Some peculiarities of numerical simulation for isothermal and combustion flows
p. 27-32
Numerical method for solving the inverse scattering problem, based on the asymptotic regularization
p. 33-48
Universal algorithm of the numerical differentiation
p. 49-50
On the solution of hyperbolic equations using unstructured grids
p. 51-78
Calculation method for unsteady reacting flows with strong and weak discontinuities tracking
p. 79-90
Optimal control of one-dimensional heating with phase restrictions
p. 91-110
Parallel methods of solving singularly perturbed boundary value problems for elliptic equations
p. 111-127

Sommaire du Fascicule no. 4

The self-consistent quasy-three-dimensional model of the radiative exitation of the electromagnetic fields
p. 3-20
Mathematical model of economic growth through restoration of savings
p. 21-46
Computer simulation of spin dynamics in magnetically dilute solids
p. 47-56
Cyclic selfreorganization of the optical structures formed by the nonlinear interferometer with two-dimensional feedback
p. 57-66
Investigation of stability of gyroframe using computer algebra
p. 67-78
How many optimal variants can exist?
p. 79-88
Global resolving of the problem of supersonic flow around a cone
p. 89-104
Numerical method of solution of Maxwell equations with jumps of electrophysical parameters of media
p. 105-112
Numerical modelling of discontinuous solution of perfectly elasto-plastic problems
p. 113-127

Sommaire du Fascicule no. 5

Mathematical modeling of optical discharge subsonic propagation in $\mathrm{CO}_2$-laser's beam with the refraction of laser radiation
p. 3-25
The reconstruction of the elastic properties of an inhomogeneous layer under the local loading based on the surface deformation data. Results of computational experiment
p. 26-36
Evolution of “weakly” intermixed multiphase flow as a random walk process. “Walking phases” and “walking waves” models
p. 37-50
The simulation of nonstationary processes of gas outflow from deformable high-pressure vessels
p. 51-62
Numerical simulation of 3D nonequilibrium flows at viscous shock layer
p. 63-75
Numerical modeling of pressure pulsations in 3D cavities
p. 76-90
2-D model of heavy gas dispersion over rough bedding surface
p. 91-105
On stability of regular solutions of one-dimensional $z$-pinch dynamic problem
p. 106-112
Method of amplitude-phase synthesis of circular antenna array of waveguide elements
p. 113-116
Fast algorithm for pseudo-random numbers
p. 117-122

Sommaire du Fascicule no. 6

Information
Mathematical modeling of nonequlibrium processes in nozzles and jets
p. 3-12
Gas flowfield near the high altitude supersonic aircraft
p. 13-18
Code for modelling of two-phase flows in nozzles and channels of technological devices
p. 19-26
Implicit economizing method for numerical solution of problems containing mixed derivatives
p. 27-32
Equations of the multifluid hydrodynamics
p. 33-37
Computational method for three-dimensional viscous two-phase sub/supersonic flows near blunt body or at injection
p. 38-46
High resolution monotone method for computation internal and jet inviscid flows
p. 47-55
Fast algorithms and codes for relaxing flows in nozzles and jets
p. 56-60
Detonation forming by focusing of the reflected shock waves
p. 61-64
The study of the lonized air flow under partial chemical equilibrium conditions
p. 65-68
Prandtl–Meyer expansion of gaseous mixtures with a large disparity of molecular masses
p. 69-71
Strong nonequilibrium flows of disparate-mass gas mixtures
p. 72-76
Numerical simulation of a shock wave efflux from a rectangular cross-sectional channel
p. 77-80
Quasi-equlibrium thermodynamic approach and its realization in the mathematical simulation of heterogeneous multiphase reacting flows
p. 81-84
Radiation peculiarities of nonequilibrium molecular gases expanding into vacuum
p. 85-88
Direct Monte-Carlo simulations of strong evaporation in the presence of inert solid particles
p. 89-94
Mathematical modeling of hollow cathode processes with integral equations using
p. 95-102
A collisional-radiative equilibrium in a plasma of noble gases
p. 103-108
Study of vibration in Hartman's disk generator
p. 109-114
Focusing of strong shock waves reflected from concave surfaces
p. 115-120
Marching multy-grid algorithm for the calculation of supersonic steady gas flows on natural-adapted grids
p. 121-127

Sommaire du Fascicule no. 7

Quasionedimensional model of flows in smooth channels of variable section
p. 3-10
A kinetic properties dependence from a density for real substances
p. 11-18
Supersonic underexpunded jet flows past barriers
p. 19-23
Magnetohydrodynamic flows and electrodynamic fields in conical multi-pole MHD generators
p. 24-32
Numerical simulation of incompressible viscous flows in cavity using quasi-hydrodynamic equations
p. 33-44
Two-stage models of the optimization
p. 45-54
On the dopant distribution along the crystal length in Czochralski growth
p. 55-73
Approximation of unimodal distributions by functions of Pirson system
p. 74-80
Numerical methods for unsteady incompressible flows using primitive variables and non-staggered grids
p. 81-108
Grid approximation of singularly perturbed quasi-linear elliptic equations in a case of multiple solutions of the reduced equation
p. 109-127

Sommaire du Fascicule no. 8

Mathematical model of magneto- and electrocaloric quasiregenerative refrigerators
p. 3-16
Kinetically consistent finite difference schemes as a model for gasdynamic flow description
p. 17-36
Numerical modelling of the breaking waves
p. 37-41
System of choice of leading processes in physical and chemical kinetics
p. 42-50
Global solvability of the Cauchy problem for system describing one- dimensional flow of general gas without viscosity and heat conductivity
p. 51-68
Spectral algorithms of multidimensional polynomial approximation
p. 69-75
Self-sustained oscillations in a heterogeneous catalytic reaction: comparison of stochastic and deterministic simulations
p. 76-96
Numerical solution of the problems for mathematical models of the investment theory
p. 97-103
System “ATRAD” for calculations of atmospheric radiation: reconstruction of absorption and scattering cross-sections
p. 104-127

Sommaire du Fascicule no. 9

Foreword
Recent developments in the numerical simulation of shallow water equations. III-boundary conditions and finite element approximations in the river flow calculations
p. 3-24
Finite-element approximation on manifolds
p. 25-30
Adaptive composite finite elements for the solution of PDEs containing nonuniformely distributed micro-scales
p. 31-43
Adaptive dimensional reduction and divergence stability
p. 44-52
Multigrid algorithms with implicit extrapolation for solving finite element equations
p. 53-62
Preconditioning in the domain decomposition methods for the $p$-version with the hierarchical bases
p. 63-73
Устойчивость трехслойных проекционно-разностных схем
p. 74-84
On cross-constrains method and physical contact-laws
p. 85-94
Integrated solution-and dimensional adaptivity of FEM by hierarchical projections
p. 95-117
Construction of artificial boundary conditions using difference potentials method
p. 118-128
A hybrid coupled finite-boundary element method
p. 129-142
A. A. Samarskii, A. V. Koldoba, Ya. A. Poveshchenko, V. F. Tishkin, A. P. Favorskii, Finite difference schemes for nonlinear grids (abstract)

Sommaire du Fascicule no. 10

Simulation of multi-component flows with chemical reactions in the model of parabolized viscous shock layer
p. 3-14
Theoretical expression of complex systems survivability
p. 15-24
Simulation of inviscous gas flow in axisymmetric 180- and 540-degree turnaround ducts
p. 25-34
Navier–Stokes simulation of turbulent flows for various external conditions
p. 35-44
Mathematical simulation of experiment on high-frequency electromagnetic fields effect
p. 45-58
Mathematical simulation of three-phase potydisperse flows in Laval nozzles
p. 59-70
Simplified model of fluidized bed for char combustion process
p. 71-82
Simulation of the stream when galleries of chinks are in the layer containing a poor penetrating seam
p. 83-90
Non Volterra model of the forest
p. 91-99
The noniteration technique for solving implicit difference scheme of Navier–Stokes equations in terms of vorticity and stream function
p. 100-112
Analysis of mathematical model of silicon wafers contamination based on discrete sources method
p. 113-127

Sommaire du Fascicule no. 11

Numerical stochastic models of non-equilibrium processes
p. 3-40
Bifurcation analysis of the nonideal model for the $(\mathrm{NO}+\mathrm{CO})/\mathrm{Pt}(100)$ reaction in a continuous stirred tank reactor
p. 41-58
Dynamic of mixinas in superconductive tubes
p. 59-75
Crystal growth in magnetic field when the current passed through the melt
p. 76-86
The numerical calculations of the thermohydrodynamic eguations for the ocean current model in the subpolar frontal zone of North Atlantic
p. 87-95
Photo-chemical equilibrium disturbance caused by the natural and artificial factors
p. 96-108
Regularized Greville method and it's applications in transmission tomography
p. 109-118
On the problem of neural network decomposition into some subnetworks
p. 119-127

Sommaire du Fascicule no. 12

A nonlinear method for solving the problems of radiation transfer in medium
p. 3-28
Kinetic model of hypersonic rarefied gas flows
p. 29-46
Numerical modeling of free-running lasing in axisymmetric optical resonators
p. 47-61
Selfoscillation damping of the $\mathrm{NO}+\mathrm{CO}$ reaction on $\mathrm{Pt}$ catalyst, caused by surface defects
p. 62-76
New random number generator on the base of 2-D cellular automaton
p. 77-84
Applied aspects of Wigner formalism
p. 85-109
Methods for parametric errors suppression under solution integral equations of the first kind
p. 110-124
Sobol' Il'ya Meerovich (on the occasion of his seventieth birthday)
p. 125-127