Geodesic

Sommaire du Fascicule no. 1

Mathematical modelling~-- a~new scientific technology
p. 1-2
Computer modelling
p. 3-12
Mathematical modelling of oscillating regimes for flows around a~spike-tipped body
p. 13-23
A~new approach to the study of the effect of localization and to the construction of exact solutions for different models of compressible media
p. 24-33
Regimes with sharpening in two-component media
p. 34-50
Global controllability and stabilization of nonlinear systems
p. 51-90
Averaging of transport equation in a~resonantly absorbing medium
p. 91-100
Non-locality of ionization-induced losses for relativistic electron beam in a~plasma-chemical reactor
p. 101-107
Mathematical foundation of particle method and modelling of semiconductor plasma
p. 108-119
Fast automatic differentiation on computers
p. 120-131
A~numerical algorithm for conformal mapping
p. 132-139
On effective modelling of cascade processes preserving their fluctiations
p. 140-149
Eigenfunction spectra for nonlinear heat equation in media with various density distributions
p. 150-159

Sommaire du Fascicule no. 2

Numerical modelling of etching of polymers in an oxygen-containing atmosphere
p. 1-13
Mathematical modelling of physico-chemical processes in a~high-pressure plasma-chemical reactor excited by a~relativistic electron beam
p. 13-36
Zonal calculation of cold compression of lithium and aluminium
p. 36-48
Reliability of experiment interpretation based on an approximate model
p. 49-64
Quasizonal equation of state
p. 64-108
Calculation of the parameters of steady-state waves of finite amplitude on the surface of a~floating fluid
p. 109-118
Unsteady flows of multicomponent media
p. 118-136
Conditions for instability of spatially-homogeneous stationary states for a~class of heterogeneous catalytic reactions
p. 137-150
Stochastic algorithms for solution of spatially-homogeneous Boltzmann equation for a~gas mixture
p. 151-160
A~method of data processing for the interferometric control of dissolution of resist film
p. 160-164
Aleksandr Andreevich Samarskii (the 70th anniversary)
p. 165-166

Sommaire du Fascicule no. 3

Mathematical modelling of economic systems
p. 1-28
Mathematical modelling of non-stationary two-dimensional boundary value problems on dynamically adapted meshes
p. 29-43
Determination of effective probabilities of heterogeneous atom recombination by using heat fluxes to the surfaces in dissociated air flow
p. 44-60
Strongly non-equilibrium electronic phenomena in sub-micron Si-MOS devices
p. 61-74
A~proof of localization of unbounded solutions for quasilinear heat equation with a~source
p. 75-83
Processes of resonant exchange in transport properties of low-temperature plasma
p. 84-99
Intenconnectivity of symmetry properties for equations of dynamics, kinetic theory of gases, and hydrodynamics
p. 100-109
The flow of flotable finite-depth fluid in the presence of varying pressure on the free surface
p. 110-122
On the theory of spatially-homogeneous Boltzmann equation
p. 123-134
The justification of direct statistic modelling in a~problem from the kinetic theory of gases
p. 135-145
Stochastic solution problem of a~relaxation problem for spatially-homogeneous reacting gas
p. 146-151
Computational physics and mathematical modelling
p. 152-153

Sommaire du Fascicule no. 4

Numerical models of collisionless plasma dynamics
p. 1-25
Physical characteristics of helium-like ions in non-equilibrium plasma
p. 26-44
Mathematical modelling of current in a~medium with strong Hall effect
p. 45-53
Modelling of transitional electromagnetic processes in wire structures
p. 54-60
An asymptotic approach in the theory of hydrodynamic stability
p. 61-86
Numerical modelling of impulsive action on a~soliton in quasi-one-dimensional systems
p. 87-99
Mathematical modelling of induced radiation in alternating electromagnetic fields
p. 100-109
The modelling of preferences and the determination of compromise settlements for two persons making decision with different vector criteria
p. 110-121
A~mathematical hysteresis model based on a~magneto-mechnical analogy
p. 122-133
On the accuracy of macroparticle method for statistical modelling of kinetic equations
p. 134-139
A~fast solution method for diffraction problems in a~model with longitudinally-nonhomogeneous layers
p. 140-149
The asymptotic of periodic solutions of some systems with small diffusion
p. 150-154

Sommaire du Fascicule no. 5

Modelling of the propagation of laser emission in plasma in the geometric optic approximation
p. 1-10
Quasihydrodynamical algorithms for the calculation of processes in electron plasma in submicron semiconductor structures
p. 11-22
Modelling of semiconductor microstructures with account of impact ionization in strong electric fields
p. 23-32
Numerical modelling of interaction of soliton-like objects by using nonlinear models of field theory
p. 33-43
Nonlinear reduction of measurement
p. 44-59
Self-consistent model of radiational excitation of longitudinal electric field in air
p. 60-70
On a~boundary value problem describing the electric current in a~magnetized semiconductor
p. 71-79
Models of collective behaviour in socio-economic processes
p. 80-94
Construction of monotone high resolution difference schemes for hyperbolic systems
p. 95-120
High accurate stochastic modelling of Boltzmann equation
p. 121-125
Difference operators in curvilinear orthogonal coordinates: The case of plane symmetry
p. 126-138
Numerical investigation of hydroacoustic problems
p. 139-152
Evgenii Aleksandrovich Fedosov (on the occasion of his sixtieth birthday)
Stanislav Vasil'evich Emel'yanov (on the occasion of his sixtieth birthday)
p. 154-156

Sommaire du Fascicule no. 6

Numerical diagnostics for engineering materials
p. 1-32
Inner transitional layers for potential in a~strongly magnetized plasma
p. 33-47
Stochastic model of a~shool~-- from individual to group behaviour
p. 49-55
Exact solutions of nonlinear Burgers--Korteweg--de~Vries equation of $N$-th order
p. 57-65
On a~class of simplified ``reaction-diffusion" models
p. 67-93
Existence of stationary solutions of Vlasov--Maxwell equations and some of their exact solutions
p. 95-107
Asymptotic for $t\to\infty$ of solutions to generalized Kolmogorov--Vlasov--Piskunov equation
p. 109-125
Statitistical models of ecosystems described by Volterra equations
p. 126-137
The estimation of influence of Compton ``rosette" on current density and on the ionization intensity
p. 138-145
A~numerical method for the investigation of slow gas combustion
p. 146-157
Abstracts of preprints
Abstracts of preprints
Abstracts of preprints
Abstracts of preprints
Abstracts of preprints

Sommaire du Fascicule no. 7

Numerical modelling of the behaviour of elastic and elasto-plastic bodies in the presence of strong energy fluxes
p. 1-12
Mathematical methods for analysis and synthesis of layered media
p. 13-38
Spectral coefficient of air-absorption of light in modelling of radiation gas dynamics problems
p. 39-43
An adjoint formulation for the modelling of flow to imperfect well
p. 44-50
The interpretation of dictator in Arrow's model as a~representative of collective. I.~The existence of dictator-representatives
p. 51-67
The interpretation of dictator in Arrow's model as a~representative of collective. II.~An estimate of dictator representativeness for independent voters
p. 68-92
The basic kinetic equation and the method of direct statistical modelling
p. 93-99
A~parallel algorithm for solving three-dimensional integral equations of magnetostatics
p. 100-107
Stochastic methods for solution of Boltzmann equation for reacting gases
p. 108-116
Stochastic particle-in-cell method for modelling of dynamics of rarefied gases
p. 117-123
An approach to the solution of multidimensional problem for Maxwell equations
p. 124-129
Efficient schemes for direct statistic modelling of rarefied gas flows
p. 130-145
Stochastic algorithms of mathematical theory of spatially-nonhomogeneous Boltzmann equation
p. 146-159

Sommaire du Fascicule no. 8

Formation of new structures in gasdynamic flows due to density perturbations in thin channels before shock wave fronts
p. 1-11
Numerical modelling of chemically non-equilibrium flows in spatial viscous shock layer around bodies with catalytic surface
p. 12-21
Recursive methods of measurement reduction
p. 22-44
Mathematical modelling of turbulence in viscous incompressible flows
p. 45-74
Classification model of corrections
p. 75-82
Numerical methods in one-dimensional models of ionosphere
p. 83-98
A~refined theory of supersonic flow about a~wedge
p. 99-102
On simplified models in dynamics of some singularly perturbed systems
p. 103-109
Conservation laws for invariant differential-difference schemes
p. 110-115
Numerical solution of inverse coefficient problem for a~nonlinear parabolic equation
p. 116-126
Mathematical modelling of electrodynamic processes in wire antennas
p. 127-138
On a~method of calculation of continual integrals without lattice discretization
p. 139-157
Information on the Conference ``Contemporary problems of mathematical physics and computational mathematics''
p. 158-159

Sommaire du Fascicule no. 9

A~numerical investigation of perturbation evolution on the boundary of two compressible median in the self-similar problem with energy release
p. 1-8
Mathematical modelling of jet viscosimeter
p. 9-20
Mathematical modelling of heat processes by the interaction of optical impulses with pigment eye tissues
p. 21-33
Mathemacial modelling of the structure of hypersonic shock layer around models in a~wind tunnel
p. 34-42
An asymptotic approach to the synthesis of a~semiconductor device
p. 43-63
On the problem of determining free and forced waves of finite amplitude on the surface of a~heavy fluid
p. 64-72
A~mathematical model of financing of risk innovative projects
p. 73-80
Multiplicity of spatially-homogeneous stationary solutions and conditions for parabolicity for a~model of heterogeneously-catalytic reaction
p. 81-91
Necessary condition for soft excitation of dissipative structures for a~family of models of heterogeneously-catalytic reactions
p. 92-100
On two mathematical models for description of a~beam of charged particles in gas
p. 101-106
The use of fundamental solutions of generalized axisymmetric equations for modeling problems in fluid mechanics
p. 107-120
The use of predictive mathematical modelling for the attitude control of a~space vehicle with uncertain parameters
p. 121-128
Asymptotic analysis of the solution for Poisson equation in semiconductors
p. 129-140
Non-stationary processes in geomagnetic field tubes
p. 141-150
Exact solutions of the generalized Ginzburg--Landau equation
p. 151-158

Sommaire du Fascicule no. 10

The use of flux-sweep method for the quasi-hydrodynamic modelling of semiconductor devices
p. 1-7
A~model of intranuclear cascade taking into account the time coordinate and many-particle interactions
p. 8-15
The application of conservative difference schemes for the modelling of transitional processes in vircators
p. 16-22
Numerical modelling of the thin layer dynamics
p. 23-36
Principles of mathematical modelling of multicomponent copolymerization
p. 37-50
Mathematical modelling of mass transfer in gas liquid system
p. 51-69
Modelling of the surface mass ejection for irradiated polymeric resistors
p. 70-79
A~model of collective representation under democratic conditions
p. 80-125
Construction of exact solutions of differential equations by using tangent vector field
p. 126-129
Numerical methods for problems describing heat self-interaction of optical radiation
p. 130-141
On some properties of differential and difference equations of quasi-hydrodynamic type
p. 142-154
On the solvability of Cauchy problem and stability of some solutions to the nonlinear Schr\"odinger equation
p. 155-160

Sommaire du Fascicule no. 11

Rearrangement of electron-energetic zones in solids under pressure
p. 1-24
An investigation of multi-dimensional control problems for heat conduction
p. 25-33
Mathematical modelling of processes in plasma UHF generator
p. 34-40
The modelling of behaviour in repeating conflict situations
p. 41-50
Spatial thin viscous shock layer in non-homogeneous gas flow in the absence of symmetry planes
p. 51-57
A~model of thermal silicon oxidation
p. 58-67
A~macro-economic Ramsey-type game model
p. 68-76
Solution of eigenvalue problem for a~class of hypersingular quasipotential integral equations
p. 77-91
The justification of direct statistical modelling in a~problem from kinetic theory of gases
p. 92-95
An inverse problem of the reconstruction of the deformation diagram of an elastoplastic plate
p. 96-99
Natural parabolic interpolation splines
p. 100-106
Singular solutions of a~three-dimensional equation of ablation
p. 107-131
Estimations for solutions of an equation of mixed type
p. 132-138
An algorithm for constructing boundaries of the domain of instability of spatially homogeneous solutions for a~class of models of reaction-diffusion type
p. 139-158

Sommaire du Fascicule no. 12

Mathematical modelling of photoelectric processes in semiconductor elements by high-level light excitation
p. 1-12
Heat transfer in supersonic flow of dissociated nitrogen in the presence of generation of vibrationally excited molecules
p. 13-21
Mathematical model of heat transfer in a~rarefied gas near the surface of a~non-convex body
p. 22-30
The equations of weakly-relativistic inviscid hydrodynamics
p. 31-43
The procedure of reserved image formation under the impulse laser exhibit of positive VUV resitor of the base of polymethylmethacrylate sensitized by anthracene, and its kinetics
p. 44-51
Method of parameter evolution in spectral problems of mathematical physics
p. 52-81
Optimization of capital investments in house-building
p. 82-88
Modelling of sharpening processes in heat transfer problems with nonlinear source
p. 89-108
Fluctiation of particle method for the solution of Vlasov/Fokker--Planck equation
p. 109-119
On the convergence of iterations for systems of two linear operator equations
p. 120-132
Mathematical foundations of linear theory of ion-sound waves in non-magnetized plasma
p. 133-148
Equilibrium covering of a~surface by a~layer of adsorbate. Existence, uniqueness and multiplicity of the trivial solution
p. 149-159