Geodesic

Sommaire du Fascicule no. 1

Mathematical modeling of homogeneous regimes of the wire expansion
p. 3-10
Optimal canceling of mutual debts
p. 11-21
Numeric method for evaluation of parameters of high-intensive soft-X-ray radiation propagated in nonhomogeneous rarefied atmosphere
p. 22-34
On one class of integrated equations in problems of combustion and hydrodynamics
p. 35-60
Numerical solution of problems with singularities on locally refinig grids
p. 61-68
About numerical realization of Loitsiansky--Millionshtchikov asymptotic solution
p. 69-80
The problem of approximation of model in measurement interpretation
p. 81-92
On the stability of viscous liquid spherical layer
p. 93-109
The code for modelling of the photolithographic process of the protective pattern forming by use of positive photoresistors
p. 110-117

Sommaire du Fascicule no. 2

Application of the surface potentials method in the problem of electromagnetic wave scattering from penetrable cylinder in stratified medium
p. 3-16
A~model for simulatiom of combustion in two phases turbulent flows
p. 17-34
Simulation of oil reservoir exploitation on parallel computer systems
p. 35-48
The method of solving of multimode lasingfrom unstable resonator with phase abberation of gained medium
p. 49-60
The asymptotic method of investigation of contrast structures and it application to the theory of hydromagnetic dynamo
p. 61-71
Grid approximation of boundary value problems for singularly perturbed quasi-linear elliptic equations with interior layer
p. 72-88
Carbon dioxyde. Transport and thermodynamic properties
p. 89-125

Sommaire du Fascicule no. 3

Modelling of ionization~-- recombination processes in middle atmosphere
p. 3-18
Numerical simulation of Ga~atoms migration in molecular-beam epitaxy of~GaAs
p. 19-28
Comparison of stochastic and detrministic approaches to modelling of monomolecular thermal desorption process
p. 29-40
Blanket of hybrid reactor
p. 41-50
Nonlinear diffusion coefficients in nonideal adsorbate layer on monocrystal surface
p. 51-65
Estimations of attractive region of stable equilibrium points for Marchuk's immunological model
p. 66-74
Nonlinear difference filters and high accuracy symmetrical schemes monotonization
p. 75-86
Aggregation of production description when integrability conditions are violated
p. 87-96
Numerical study of two-dimensional gas flows with shocks by TVD method on physically adaptive grids
p. 97-106
Construction of exact solutions for systems of diffusion equations
p. 107-115
Reliability of measurement interpretation in linear model with stochastic a~priori information
p. 116-127

Sommaire du Fascicule no. 4

Numerical modeling of LPG accidental releases from high-pressure vessels
p. 3-18
Mass-transfer equations of multi-component mixtures with great concentrations under electrical field. Izotachophoresis model
p. 19-28
The application of ``the resultant spline'' method for calculation of air temperature and humidity in the plant canopies
p. 29-36
Mathematical modeling of natural gas blowout from the ruptured pipeline and dispersion in the atmosphere
p. 37-52
A~scale-invariance of the relaxation times hierarchy of viscoelastic substances
p. 53-63
On mutual debts canceling
p. 64-72
On the uniqueness and stability of solutions of two-dimensional plasmastatic problems
p. 73-86
Statistical simulation over $p$-adic number fields
p. 87-98
Burgers equation is a~test for numerical methods
p. 99-127

Sommaire du Fascicule no. 5

International Conference ``Differential Equations and Applications''
p. 3-4
The comparison method and asymptotic equivalence of differential equations
p. 5-7
Numerical methods of solution of stiff systems
p. 8-11
The construction of an exact model with a~point symmetry
p. 12-14
Finite difference schemes of three-dimensional gas dynamics for the study of Richtmyer--Meshkov instability
p. 15-25
Explicitly solvable quantum mechanics models of a~charged particle in magnetic field
p. 26-28
On the theory of forced almost periodic oscillations in nonlinear controlled systems
p. 29-30
Singularities of Darboux type of integrals of semialgebraic differential equations
On the feedback control of a~dynamical system
The generation of systems of differential equations using spectral strategy of design of electromagnetic consistency
Error estimate of linearized systems of finite difference equations
The calculation of conductivity of semiconductors under excitations by various signals
Group analysis in problems with symmetry violatation
Group analysis in twopoint boundary value problems describing the rod bending
p. 37-38
On the stability of motion of viscoelastic plates under hydrodynamic forces
p. 38-39
Testing of programs for numerical solution of stiff ODE
On an intermediate asymptotic in combustion theory
A~continuous filter with finite memory for non-Gaussian observations
p. 42-43
On the asymptotic equivalence of differential equations due to Brouwer
A~harmonic oscillator with moving point perturbation
Topological classification of structurally stable diffeomorphisms with one-dimensional attractors and repellers on surfaces
p. 46-47
Asymptotic Wintner--Cesare equilibrium and variable boundaries of limiting boundedness of the solutions of differential systems
On some properties of Carleman operators
Calculation of stationary regime in linear systems with periodic excitation
On the calculation of transitional regimes for impulse excitation described by a~nonlinear first-order differential equation
Integration of matrix linear differential first-order systems
On analytic solution of the problem on the stressed-strained state of an elastic half-space with a~rigid cylindrical inclusion
The solution of the problem on stressed-strained state of a~space with two cylindrical cavities
Cauchy problem for a~hyperbolic equation with two lines of degeneracy
A~furnace for quartz melting as a~system with distributed parameters
Stability criterion for solutions of differential equations taking into account only a~part of variables
Existence of non-zero periodic solution of differential equations
Parallel language FORTH
On non-local boundary value problem with M.~Saigo type operator for the generalized Euler--Poisson--Darboux equation
The sharpening regimes and localization of non-bounded solutions of discrete heat equations
Conservation of sliding control regimes in ``sewed" domains
On the hypoellipticity of a~special class of differential operators
On dynamical system with a~prescribed invariant set
Differential equations for orthogonal polynomials
On some sufficient conditions for asymptotic equivalence of system of differential equation unsolved relative to derivative
p. 66-67
Mathematical models of electric circuits and methods of their investigation
On the semi-boundedness for point interactions with the support on curves with corner points
Asymptotic properties of solutions of singularly perturbed ODEs
Lyapunov transformations of stationary Schr\"odinger equation with perturbing potential
An investigation of the equation for the parameter spectrum shift for an inverse discrete-group problem
On a~method for the solution of optimal stabilization problem
On the controllability of nonlinear systems
On the asymptotic stabilization of a~programmed motion
Tangential symmetries of ODEs
p. 76-77
The second Lyapunov method and asymptotic method of integration for differential equations
Integration of Volterra-type integral equations of the first kind with kernels containing some generalized hypergeometric functions
Asymptotic methods of stabilization of programmed motion
A~model of creeping fluid motion in domains connected by a~small opening
Integral Volterra equations of the first kind with infinite upper integration limit and with a~hypergeometric function entering the kernels. Their applications
Generalized Lyapunov function in the oscillation theory
On the boundedness of solutions of nonlinear systems of differential equations relatively to a~part of variables
Using of Lyapunov functions for the modelling of combined controlled systems with possible failures
Time-optimal heating of massive bodies with phase transitions
Optimization of inductive heating of a~cylinder with temperature-dependent physical characteristics
On the calculation of exponents for difference operators
A~fast method of resolvent calculation for difference boundary value problems
On integral manifolds of various kind
On a~class of differential games of the same type
On the reversibility of the V.\,V.~Rumyantsev's theorem on uniform asymptotic stability relative to a~part of variables
Sufficient conditions for stabilizability of nonlinear dynamical systems
On closed trajectories with a~particular integral
On asymptotic behaviour of solutions of non-autonomous systems of ODEs
Stability of uniform rotation of a~rigid body with a~vortex superconducting filling
The problem $\Delta_1^\infty$ for the equation $S_0$
Non-zero periodic solutions of functional-differential equations with parameter
New generalized Euler--Poisson equations and their first integrals
New fluctuating weighted Monte-Carlo methods and their application to Cascade transport of high-energy particles
p. 100-114
The algorithm for calculation of correlated pseudo-random number sequences using Hartley transform
p. 115-118
Mathematical simulation of particles transfer through filter media
p. 119-127

Sommaire du Fascicule no. 6

Radiative buoyant thermal numerical model with variables ``velocity-pressure''
p. 3-31
The simulation of high energy charged particles motion in the summary dipole magnetic field and uniform magnetic field
p. 32-53
Modeling of crack aggregation in non-equilibrium medium
p. 54-64
The Kondratiev cycle as an object of modelling
p. 65-74
On the problem of a~``vibrational rainbow'' origin in differential cross sections for atom-molecular scattering in keV region
p. 75-84
Experimental evaluation of the order of uniform convergence for special difference schemes
p. 85-94
To asymptotics of selfsimilar solutions of some equations describing nonlinear processes of heat conduction and gas dynamics
p. 95-110
The best solution of nutual debts canceling problem
p. 111-117
Analytics-numerical modelling of deep-bed filtration
p. 118-125
Mathematical description of economics
p. 126-127

Sommaire du Fascicule no. 7

Features of a~turbulent mixing model based on the two-component model with different velocities of each component. Separation addition to diffusion models
p. 3-18
A~life-cycle model of capital and production function with reserve capacity
p. 19-33
On some problems of numerical investigation of the quarkonium model with the coulomb and linear potentials
p. 34-48
Numerical solution of a~problem for the elliptic equation with unsteady boundary conditions
p. 49-60
A~problem for grid approximation of the diffusion flow in numerical modelling of pollution transport
p. 61-80
Algorithm of mesh formation in the boundary element method for plane regions
p. 81-93
Fictitious domain method for Neumann problems
p. 94-98
Three-dimentional problem of transonic flow about slender-bodies
p. 99-110
The trajectories at interaction of two bodies depending from velocity
p. 111-125

Sommaire du Fascicule no. 8

An emitting cloud numerical model with nonstationary dynamical variables
p. 3-24
An electromagnetic code in the polar coordinates system for mathematical simulation of microwave radiation in a~coaxial triode with a~virtual cathode
p. 25-35
Numerical simulation of a~3-d fluid gas dynamics unsteady problem with shock waves and flux separation from a~surface
p. 36-59
The numerical simulation of the coupled impurity and point defects diffusion in silicon
p. 60-74
The simulation of Gugoniot pressures for the Ni and Cu in the electron density functional method
p. 75-90
The numerical realization of the models watersaturated ground
p. 91-104
Non-local optimization method for multilayer optical systems
p. 105-127

Sommaire du Fascicule no. 9

Particle method for simulation of the electron transport in the asymmetrical microvacuum structure
p. 3-14
Mathematical modeling mass transfer and crystallization in porous media
p. 15-22
The simulation of heating of two layers system CdTe-HgTe by $\mathrm{CO}_2$ laser emission
p. 23-34
Markov--Chebyshev's moment problem and investigation of Galerkin's method for some problem of aggregation
p. 35-54
The nonlinear model of the small asymmetric perturbations of the equilibrium distribution of density of the rapidly rotating, gravitating, magnetized polytrope
p. 55-64
Numerical modelling of dynamic wave beam self-focusing in plasmas
p. 65-71
Dependence of continuous neutron activating logging on the tools velocity when long sondes are used
p. 72-78
Some questions of the spectral theory for the Schr\"odinger equation describing the tunnel diode
p. 79-116
Modelling of the transonic nozzle
p. 117-126

Sommaire du Fascicule no. 10

Thermal impact problem for a~region with moving boundaries in dynamic thermoelasticity models
p. 3-11
Fast neutron reactor in a~self-adjusting neutron-nuclide regime
p. 12-32
Mathematical model of high-pressure composite shell fracture under the impact of radiation energy flux
p. 33-46
Plane model of cylindrical forced (non-adiabatic) wave of exothermic chemical reaction in the condensed medium
p. 47-58
The producers behavior model in period of market and under availability of preferential credits
p. 59-83
Solving the space-time problem on the basis of quasi-stationary derivatives
p. 84-98
On the time complexity of digital Fourier transform parallel computing
p. 99-110
Grid approximation of quasi-linear singularly perturbed elliptic and parabolic equations with mixed boundary conditions
p. 111-126
On boundary conditions construction for 1D~transport equation according to quasidiffusion and frozen coefficients methods
p. 127-132
Chaotic behaviour stabilization of the mathematical model of an oscillatory chemical reaction
p. 133-143

Sommaire du Fascicule no. 11

The numerical investigation of oscillatory regime in open cavity
p. 3-15
Sensitivity analysis for nonlinear mathematical models: numerical experience
p. 16-28
Mathematical modeling of spherical glass-ablator implosion
p. 29-38
Equations for viscous gas mixture flows in curved flat channels with variable cross section
p. 39-54
Monotone high-order accuracy difference schemes for modelling gasdynamic flows in a~cavity
p. 55-65
Phase approach in the method of parameter evolution
p. 66-76
Convergency of parabolic interpolative splines
p. 77-94
The inverse problem of source reconstruction for convective diffusion equation
p. 95-108
On a~theory of kinetically consistent difference schemes
p. 109-125
The 60th anniversary of Nikolaj Nikolaevich Kalitkin
p. 126-127

Sommaire du Fascicule no. 12

Wave distribution in simplest ring neural structures
p. 3-18
Mathematical simulation of shock waves processes in chemical inert and reacting polydisperse mixtures of gas and solid particles
p. 19-32
The mathematical analysis of special method of genetic information writing
p. 33-47
Method for dynamic adaptation in problems of gas dynamiks
p. 48-78
Computational methods of adaptive type for hydraulic nets
p. 79-96
Logarithmic asymptotics for a~solution of the Boltzmann evolution equation
p. 97-106
Computer simulation of starburst dendrimers
p. 107-124
The comparison of theoretical results for optical properties of matter obtained by using of different theoretical models
p. 125-127