Geodesic

Sommaire du Fascicule no. 1

On compromise schemes in dynamic models of conflicting situations
p. 3-13
Selfsimilar solutions of the nonlinear equation of heat conduction with distributed parameters in the case of constant heat conduction
p. 14-24
A method of solving the inverse scattering problem for the wave equation
p. 25-33
On the asymptotics in a one-dimensional model of some semiconductor devices
p. 34-51
A problem related to the oscillations of a compressible stratified liquid
p. 52-62
The problem of the oscillations of a flat disc in a stratified liquid
p. 63-71
Numerical model of $\mathbb Z$-pinch instability in plasma of finite conductivity
p. 72-79
Gasdynamic boundary slip conditions on a rough surface
p. 80-89
Mathematical modelling of two-phase twisted flows using a modified large-particle method
p. 90-100
A problem on the dissolving of a dense filtering layer of crystals
p. 101-111
Convergence of the particle method for a three-dimensional system of Vlasov equations
p. 112-118
Convergence of the method of summary approximation for the Boltzmann equation
p. 119-126
Singular values and polar factorization of an operator in a bilinear metric space
p. 127-129
Optimality of a spline algorithm for finding the maximum of a class of functions of several variables
p. 130-134
The modelling of truncated distributions
p. 134-137
Numerical solution of the problem of the supersonic flow of a gas from a plane slit in hodograph variables
p. 137-141
The effect of false cumulation of Godunov's scheme on moving grids
p. 142-146
Basic kinetic equation for the rarefied gas model used in the statistical particle-in-cell method
p. 146-149
Rational approximations of the evolution operator
p. 149-151
On the difference analogue of the inequality $\|p\|_{L_2}\le C\|\operatorname{grad}p\|_{W_2^{-1}}$ in spherical coordinates
p. 151-152
Axelsson О., Barker V. A. Finite element solution of boundary value problems: theory and computation. Orlando etc.: Acad. Press. Inc., 1984. XYU1+432 p. (Book review)
Matolcsi Т. A concept of mathematical physics. Models in mechanics. Budapest: Akad. kiadó, 1986. 335 p. (Book review)

Sommaire du Fascicule no. 2

An approximate maximum principle for finite-difference control systems
p. 163-177
Convergence estimates for different versions of the penalty method of seeking a max-min with linked variables
p. 178-185
Stochastic methods for the numerical solution of convex variational inequalities
p. 186-197
A method of investigating the stability and accuracy of difference schemes
p. 198-208
A fast derivative method for solving the first biharmonic boundary-value problem
p. 209-223
On an inner transition layer in a problem of the theory of semiconductor films
p. 224-236
The method of non-orthogonal series for the numerical solution of problems of mathematical physics
p. 237-246
The theory of capillary waves on the surface of a rotating liquid
p. 247-253
Methods of scaling the compressibility in calculating stationary flows of a viscous gas at arbitrary Mach numbers
p. 254-266
On the possibility of the numerical modelling of non-stationary vortex structures in a near wake
p. 267-277
The fast Fourier transform in a problem with multiple grid-points
p. 278-281
Numerical solution of cell problems in averaging theory
p. 281-286
Numerical solution of the generalized equations of gas dynamics
p. 286-289
Fluctuations of the method of particles for the vlasov equation
p. 290-292
On a stochastic method of solving the Boltzmann equation
p. 293-297
A method for constructing a solution of the spatially homogeneous Boltzmann equation for a mixture of gases
p. 297-300

Sommaire du Fascicule no. 3

Sufficient conditions for the convergence of the method of successive approximations with discontinuous functions
p. 307-315
A linear method of finite penalties with regulated $\varepsilon$-descent
p. 316-324
Optimization of quasilinear control systems
p. 325-334
The theory of interior waves when a free surface is present
p. 335-345
The asymptotic theory of contrasting spatial structures
p. 346-361
The use of the finite-element method to calculate acoustic fields in inhomogeneous gas flows
p. 362-374
A variational-difference method for solving boundary-value problems in the theory of shells using Vekua's moment theory
p. 375-389
Difference schemes for the Navier–Stokes equations on a net consisting of Dirichlet cells
p. 390-399
Investigation of a class of integer multicriterial problems
p. 400-419
The relationship between guaranteed results in sequential and non-sequential algorithms
p. 420-428
Probabilistic semantics of terminating programs
p. 429-438
Solution of systems of algebraic equations with $\lambda$-matrices
p. 439-443
Some algorithms for comparing partial solutions in distributed systems
p. 444-448
A variational difference method for solving problems of ideal plasticity in which discontinuities may appear
p. 449-453
An approach to adaptive grid construction for non-stationary problems
p. 454-460
Mathematical simulation of a water cleaning process in ion-exchange industry filter
p. 461-465
Comparison of solutions of the Cauchy problem for a class of integrodifferential equations
p. 466-469
An n-dimensional generalization of an initial boundary value problem that arises in the theory of internal waves
Rektorys К. Variationsmethoden in Mathematik, Physik und Technik. Munchen- Wien: Carl Hanser-Verl., 1984. XIX+594 S. 78 DM (Book review)
Devraye L. Lecture notes on bucket algorithms. Boston etc.: Birkhauser, 1986. 146 P. sFr 42/DM 50. (Book review)
Correction: “Local spline approximation on a uniform grid”

Sommaire du Fascicule no. 4

Determination of the extremal values of a function of several variables satisfying a generalized Lipschitz condition
p. 483-491
A numerical methods for solving a quasilinear elliptic equation with a small parameter at the highest derivatives
p. 492-502
Curvilinear grids of convex quadrilaterals
p. 503-514
A variant of the fictitious-domain method
p. 515-523
Gyroscopic gravitational waves caused by the oscillations of a straight section
p. 524-533
A problem connected with the theory of planetary waves
p. 534-548
A nonlinear boundary value problem of ignition by radiation
p. 549-559
Approximation of the Boltzmann equation by stochastic equations
p. 560-567
A procedure for calculating electromagnetic fields in a quasi-three-dimensional model
p. 568-579
Detachment of a supersonic boundary layer in front of the bottom edge of a contour of a body
p. 580-590
Spatial perturbations introduced by a harmonic oscillator in a boundary layer on a plate
p. 591-602
Explicit first-order Runge–Kutta methods with a given stability interval
p. 603-607
On the flow of a stratified fluid past an obstacle
p. 608-613
EOS-2 system for X-ray image processing of a high-temperature laser plasma
p. 613-618
The optimal distribution of a tree in a finite set
p. 618-620

Sommaire du Fascicule no. 5

Computation of certain functions related to the Hurwitz zeta-function
p. 627-634
The asymptotic form of radial Lamé wave functions
p. 635-646
Constructing the preference relation and the core in multicriterion problems with inhomogeneous criteria ordered by importance
p. 647-659
The construction of two-sided approximations to the solution of a Cauchy problem
p. 660-668
Direct and iterative methods for solving the integral equations of potential theory
p. 669-682
Asymptotic behaviour of the solution of the problem of combustion in the case of an autocatalytic reaction
p. 683-694
Multiplicity of steady states in a nonideal model for a heterogeneous-catalytic reaction
p. 695-704
Calculation method for stationary relativistic beams in long-site diodes
p. 705-716
The application of fully conservative difference schemes to the calculation of two-dimensional magnetohydrodynamic systems
p. 717-729
A method for the numerical solution of the one-dimensional hydrodynamic equations of a two-phase gas-liquid mixture
p. 730-740
Analysis of mixed schemes of the finite element method in problems on the deformation of shallow shells
p. 741-754
On quasirandom sequences for numerical computations
p. 755-759
A method for the numerical modeling of waves in one-dimensional nonlinear media with random inhomogeneities
p. 760-764
A stochastic algorithm for solving the Boltzmann equation based on Euler's method
p. 764-768
A method of constructing the solution of the system of Boltzmann equations for reacting gases
p. 769-774
Properties of collision integrals in the Boltzmann equation of the theory of semiconductors
p. 775-779
Convergence of difference approximations and regularization of the optimal control problem for an ordinary linear differential equation of the second order
p. 779-780

Sommaire du Fascicule no. 6

Investigation and solution of integer systems of linear equations
p. 787-792
A local regularization method for linear operator equations of the first kind and its applications
p. 793-808
The mean-square convergence of stochastic iterative processes in ill-posed problems
p. 809-814
Asymptotic regularization of an ill-posed identification problem
p. 815-824
Construction of minimax solutions of linear ill-posed problems with random errors in the data
p. 825-834
Approximate conformal mapping of a disk with a polygonal hole onto a ring by the block method
p. 835-841
A method of investigating unbounded solutions of quasilinear parabolic equations
p. 842-854
Optimal control of multiphase filtration flow in an oil layer
p. 855-866
Difference schemes on a nine-point “cross” pattern for solving the Navier–Stokes equations
p. 867-878
The use of conjugate equations in the method of auxiliary sources
p. 879-886
Synthesis of absorbing layered media
p. 887-900
Numerical solution of isotropic relaxation problems by the method of Maxwellian expansion
p. 901-916
Seidel's method for the transport equation with anisotropic scattering in $R^3$
p. 917-925
Boundary conditions for kinetically consistent difference schemes in gas dynamics
p. 926-932
Fast linear iterative algorithms of image restoration
p. 933-937
On the uniqueness of quasisolutions of operator equations
p. 938-940
On the current in a free interaction region near a permeable wall portion
p. 941-945
Shock-characteristic method for solving discontinuous gas dynamic problems
p. 945-950
Generalization of the interior modified Lagrange function for the solution of the general mathematical programming problem
p. 950-952
On matrix similarity transformations in steady gas dynamic equations
p. 952-953
Numerical analysis of the oriented motion of neutral particles in crystals
p. 954-955

Sommaire du Fascicule no. 7

Construction of optimal solution procedures for operator equations
p. 963-970
Iterative methods for solving ill-posed problems with a priori information in Hilbert spaces
p. 971-980
A method of data compression for the digital correction of the readings of a measuring system
p. 981-991
Conical algorithms for solving a concave programming problem and some generalizations
p. 992-999
Numerical solutions of minmaxmin problems
p. 1000-1011
The bisection method in the pit filling problem
p. 1012-1020
On calculating the dimension of strange attractors
p. 1021-1037
An approach to using B splines in splitting schemes to solve the Navier–Stokes equations
p. 1038-1046
A variational difference method for solving problems of infinitesimal deformations of a surface of positive curvature
p. 1047-1057
Comparative analysis of direct simulation algorithms in rarefied gas dynamics
p. 1058-1070
On a method for calculating non-equilibrium gas-dynamic flows while simultaneously taking account of ionization and radiation transport
p. 1071-1077
Numerical algorithms for computing mass-transfer processes in a highly rarefied gas
p. 1078-1093
A control algorithm for a multiparameter regularization process
p. 1094-1097
Methods for solving degenerate problems
p. 1097-1102
The allocation of different types of resources with saturation
p. 1102-1107
Well-posedness of the problem of determining the unknown boundary of a domain in a self-similar regime
p. 1108-1110
Ship waves on the surface of a floating liquid
p. 1110-1115

Sommaire du Fascicule no. 8

Modification of Newton and the secant methods and their applications in regularizing algorithms
p. 1123-1134
Computation of the derivatives of the Riemann zeta-function in the complex domain
p. 1135-1148
A multifactor problem of non-linear programming with a decreasing input function
p. 1149-1162
A mesh-projection scheme for computing transonic flow past an aerofoil
p. 1163-1176
Lattice approximations of the Helmholtz equation in a singularly perturbed region
p. 1177-1189
Qualitative analysis of a dynamic model of a resource-limited age distribution
p. 1190-1201
Application of the finite element method to the problem of wave propagation in an irregular waveguide
p. 1202-1209
A finite-difference method for solving the equations of gas dynamics using adaptive grids which are dynamically connected with the solution
p. 1210-1225
A method of computing periodic vortical currents of an incompressible fluid
p. 1226-1233
Compact third- and fourth-order schemes in problems concerning internal flows of viscous and non-viscous gases
p. 1234-1251
A method of approximating an attainable set for a differential inclusion
p. 1252-1254
Discrete analytical solution of a smooth non-linear optimal control problem
p. 1255-1258
Analytic representation of Green's function for a finite-difference Laplace equation
p. 1258-1260
Stabilization of the solutions of a nonlinear integro-differential kinetic equation
p. 1260-1264
Convergence of a difference scheme for solving a system of partial differential equations of the particle method for the Boltzmann equation
p. 1264-1267
An algorithm for the approximate solution of a large-scale travelling salesman problem in a plane
p. 1268-1272
New books in mathematics
p. 1273-1275

Sommaire du Fascicule no. 9

Combined iterative methods of variational type
p. 1283-1296
An estimate of the rate of convergence of Weinstein's method in the eigenvalue problem for an L-shaped membrane
p. 1297-1310
Diffraction of a plane wave by a half-plane in a rotating liquid taking capillary forces into account
p. 1311-1320
On a class of iteration methods in linear transport theory
p. 1321-1331
Mathematical singularities of a problem on the penetration of a magnetic field into a substance
p. 1332-1345
Some applications of the Boltzmann equation in problems of gas dynamics
p. 1346-1353
Statistically stationary solutions of the Navier–Stokes equations in an annular channel. Hydrodynamic characteristics and space-time structure
p. 1354-1366
A method of integral equations for calculating the non-stationary aerodynamic characteristics of a rotating blading ring
p. 1367-1378
Weakly determinate problems of Boolean linear programming with a partially specified set of admissible solutions
p. 1379-1385
Construction of the convex hull of a finite set of points when the computations are approximate
p. 1386-1396
Finding a maximal zero for some classes of monotone Boolean functions in Post's classification
p. 1397-1406
Cyclic games and an algorithm to find minimax cycle means in directed graphs
p. 1407-1417
Well-posedness of Fredholm integral equations of the first kind of potential type for thin conductors
p. 1418-1420
The solution of ill-posed stochastic linear algebraic equations by the maximum likelihood regularization method
p. 1420-1425
Estimates of constants in inequalities for basis elements
p. 1425-1431
An algorithm for the synthesis of correct recognition procedures for problems with disjoint classes
p. 1431-1434
Meyer A. Modern algorithms for large sparse eigenvalue problems. (Math. Forschung. Bd 34). Berlin: Akad. Verlag, 1987. 125 p. (Book review)
Devroye L. A course in density estimation. Boston: Birkhauser, 1987. 183 p. DM 58 (Book review)

Sommaire du Fascicule no. 10

Regularization of extremal eigenvalues in the symmetric generalized problem
p. 1443-1448
Algorithms for computing Bessel functions of half-integer order with complex arguments
p. 1449-1460
Characterization of the optimal set of the multicriterion optimization problem
p. 1461-1474
Stability of solutions in problems of Boolean linear programming
p. 1475-1481
A method of integral support curves for solving the Cauchy problem for ordinary differential equations
p. 1482-1490
The solution of the inverse problem for the Perron–Frobenius equation
p. 1491-1497
Generation of non-degenerate meshes
p. 1498-1506
On the existence of steady waves of finite amplitude on the surface of a floating liquid
p. 1507-1519
Application of the penalty function method for solving multiparticle quantum mechanics problems
p. 1520-1529
The problem of reducing acoustic noise in the interior of a car
p. 1530-1539
Inverse problems of coherent optics. The use of the stationary phase method in problems of focusing radiation on a curve
p. 1540-1550
Exact solutions of equations of the nonlinear diffusion of a magnetic field
p. 1551-1557
Calculation of the non-stationary aerodynamic characteristics of a body in the case of separated flow
p. 1558-1566
Approximation of the Boltzmann equation in the theory of semiconductors by stochastic equations
p. 1567-1576
The rate of convergence of the method of steepest descent in a Euclidean norm
p. 1577-1578
The method of simple iteration for solving linear operator equations
p. 1578-1583
Cubature formulae for the approximate integration of functions of three variables
p. 1583-1586
Calculation of supersonic flow past the weather side of a wing of small aspect ratio at large angles of attack
p. 1586-1594
An exact penalty function method for solving linear and integer linear programming problems
p. 1594-1595

Sommaire du Fascicule no. 11

An augmented Lagrange function method for multicriterion optimization problems
p. 1603-1618
On the solution of the inverse boundary value problem for the wave equation with a discontinuous coefficient
p. 1619-1633
The use of Faber polynomials to solve systems of linear equations
p. 1634-1648
A difference scheme for a singularly perturbed equation of parabolic type with discontinuous boundary conditions
p. 1649-1662
Numerical solution of an integral equation of the first kind with a weak singularity for the density of a simple layer potential
p. 1663-1673
The use of computer algebra to investigate the integrability of nonlinear evolution systems
p. 1674-1684
The Cauchy problem for the equation describing acoustic waves in a medium with dispersion
p. 1685-1694
Kinetically coordinated difference schemes for modelling flows of a viscous heat-conducting gas
p. 1695-1710
A numerical technique for solving non-stationary spatial problems of the dynamics of elastoplastic media
p. 1711-1718
Calculation of the flows of a viscous incompressible liquid with a free surface on two-dimensional Lagrangian nets
p. 1719-1729
An algorithm for constructing Dirichlet meshes for time-dependent problems based on local rearrangements
p. 1730-1734
Estimation of accuracy of approximate solutions of singular integral equations for the normal modes of strip and slotted structures
p. 1735-1740
A generator of test quadratic assignment problems with known optimal solution
p. 1740-1743
Mathematical modelling in the mechanics of continuous media
p. 1743-1747
An inversion of singularity in Navier–Stokes equations
p. 1748-1750
An approach to analysing the initial information in pattern recognition problems
p. 1750-1754
On connected electroelastic non-stationary oscillations of piezoceramic cylinder with a radial polarization
p. 1755-1756

Sommaire du Fascicule no. 12

Corrections: “Numerical solutions of minmaxmin problems”
Shift of the boundary conditions for partial differential equations
p. 1763-1778
Algorithms for evaluating spherical Bessel functions in the complex domain
p. 1779-1788
Consistency and stability of aggregation in parametric mathematical programming problems
p. 1789-1798
Reduced-direction methods for the nonlinear programming problem
p. 1799-1814
On nonlocal implicit schemes
p. 1815-1822
Asymptotic forms of the solution of the inverse problem for the Helmholtz equation
p. 1823-1831
Investigation of the linear equations of the dynamics of a compressible stratified fluid
p. 1832-1842
Small non-stationary vibrations of vertical plates in a channel with a stratified liquid
p. 1843-1857
A numerical simulation scheme for subsonic flows in a viscous compressible gas
p. 1858-1866
The efficiency of the statistical modelling of a shock wave in a gaseous mixture
p. 1867-1873
The predictor–corrector method for solving problems of gas dynamics
p. 1874-1883
On the nonlinear equations of the selfsimilar motion of a viscous fluid
p. 1884-1896
Undecomposable Hamiltonian matrices with pure imaginary spectrum
p. 1897-1902
A note on beta-methods for simulating binomial distributions
p. 1902-1903
An experimental estimate of the effectiveness of using duality to solve discrete programming problems
p. 1904-1905
Truncation error in a birth and death system
p. 1906-1907
A method of increasing the accuracy of the solution of initial problems
p. 1907-1908