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