Geodesic

Sommaire du Fascicule no. 1

Regularization of problems with monotone operators in the case of discrete approximation of spaces and operators
p. 3-15
A method for determining all of the zeros of a generalized polynomial in an arbitrary Chebyshev system
p. 16-21
Reconstruction by local splines of functions and their derivatives from mesh data with an error
p. 22-34
Search for the global maximum of a function of several variables on a set defined by constraints of inequality type
p. 35-51
A method for solving multi-extremal problems with non-convex constraints, that uses a priori information about estimates of the optimum
p. 52-62
Numerical integration of initial value problems for systems with a small parameter multiplying the derivative
p. 63-75
One-step representation of linear multistep methods for ordinary differential equations
p. 76-82
A variational-difference scheme for problems of limit equilibrium
p. 83-92
Methods for constructing the Green function of a stratified elastic half-space
p. 93-101
The gravitational-gyroscopic wave equation: The angular potential and its applications
p. 102-113
Complexity of realization of some pattern recognition procedures
p. 114-127
Round-off errors in Richardson's extrapolation method
p. 128-130
Difference schemes for nonautonomous stiff systems of ordinary differential equations
p. 131-135
The convergence of the certain iteration method
p. 136-140
The iterative method for solving some electrodynamic problems
p. 141-144
The Galerkin method in nonselfadjoint boundary value problems in waveguide theory
p. 144-149
Propagation of nuclear fluxes in atmosphere
p. 149-154
Numerical solution of the three-dimensional problem of stationary convection in natural variables
p. 154-155

Sommaire du Fascicule no. 2

Optimal control of systems with approximately known initial data
p. 163-177
On the stability of the linear problem of multicriterion optimization
p. 178-187
Numerical methods for solving boundary value problems for systems with a small parameter in the derivate
p. 188-201
On the strange attractor in a problem of synergetics
p. 202-218
Asymptotic behaviour of the solution of a singularly perturbed boundary value problem for the system of diffusion–sorption equations
p. 219-225
Asymptotic solution of the linearized problem of the propagation of sound in a bounded medium with low viscosity
p. 226-236
On the non-stationary theory of internal waves. Existence theorems
p. 237-244
Solution of a problem connected with the dynamics of an electron
p. 245-251
Mathematical modeling of the process of propagation of electromagnetic oscillations in a slot transmission line
p. 252-261
Free oscillations of an electromagnetic field in one-dimensionally periodic lattices
p. 262-271
Numerical study of a motion of solid bodies in atmosphere
p. 272-285
Generalized discrepancy principle for the $L$-pseudosolutions
p. 286-290
On the interpretation of data obtained by a finite set of receptorswith unstable characteristics
p. 291-295
Application of Padé approximants in the method of introducing a parameter in the investigation of biharmonic equations with complex boundary conditions
p. 296-301
Absorbing boundary conditions for the numerical solution of problems of the theory of viscoelasticity
p. 301-306
Types of Kelvin waves in a compressible stratified fluid
p. 306-311
A noncommutative algorithm for multiplying $5\times 5$-matrices using one hundred multiplications
p. 311-315

Sommaire du Fascicule no. 3

The efficiency of reduction of measurements and some problems of measuring-computing assembly design
p. 323-331
Method of expansion for optimization problems which do not have a block-separable structure
p. 332-339
Numerical solution of extremal problems on constructing ellipsoids and parallelepipeds
p. 340-348
Numerical experiments in a new class of algorithms in linear programming
p. 349-356
Nonlinear programming problem with decreasing cost function and the properties of its solution
p. 357-367
Methods of solving systems of convex programming problems
p. 368-376
An algorithm of simplex imbeddings in convex programming
p. 377-384
Freezing of the Jacobi matrix in a second order Rosenbrock method
p. 385-390
A smoothing procedure in a singularly perturbed quasilinear parabolic problem
p. 391-399
On the approximation of the solution of the Boltzmann equation by solutions of the Ito stochastic differential equations
p. 400-410
On computation of non-equilibrium supersonic three-dimensional flow over blunt bodies
p. 411-415
On constructing of stationary solutions of the Vlasov equation for an axially symmetric beam of charged particles in longitudinal magnetic field
p. 416-427
A discrete model of the Fokker–Planck equation
p. 428-440
On inverse problems of the theory of radiation transport in two-dimensional geometries
p. 441-455
A method of regularization for solving inconsistent nonlinear operator equations
p. 456-458
The duality of certain non-convex extremal problems
p. 459-463
On the problem of the spectrum of a buoyancy operator
p. 463-466
Selection of parameters for a model of cracks of zero width
p. 466-470
Numerical methods for solving problems of optimal impulse control
p. 470-474
Correspondance de Leonhard Euler avec P.-Z.M. de Maupertuis et Frèdèric II. Publièe par P. Costabel, E. Winter, A. Grigorijan et A. Juškevič en collaboration avec E. A. Fellman. Basel: Birkhäuser, 1986. 454 p. 192 SFr. (Book review)
Langenbach A. Vorlesungen zur höheren Analysis. Berlin: VEB Dtsch. Verl. Wiss., 1984. 280 S. (Book review)

Sommaire du Fascicule no. 4

The stability of constructing minimizing sequences of functionals
p. 483-489
On the accuracy of difference approximations and the regularization of optimal control problems for solutions of elliptic equations
p. 490-500
Singular Cauchy problems with a large parameter for systems of nonlinear ordinary differential equations
p. 501-519
Bifurcation of solution in conditions of singular disturbance
p. 520-535
Numerical solution of the exterior Neumann problem
p. 536-543
The construction of completely conservative difference schemes by algorithms of the projection method
p. 544-556
Estimates for the rate of convergence of the particle method for the Vlasov equation
p. 557-563
One approach to the solution of the uniform Boltzmann equation
p. 564-574
On the theory of capillary waves on a shallow layer of compressible water
p. 575-584
Monotonic scheme of the second order of approximation for the continuous calculation of nonequilibrium flows
p. 585-593
The splitting method for investigating flows of a stratified liquid with a free surface
p. 594-609
Problems on the correction of the parameters of an object in pattern recognition
p. 610-616
Iterative regularizing algorithms for nonlinear problems
p. 617-621
Splines in a convex set and the problem of numerical differentiation
p. 621-626
The construction of a plane curve with a piecewise-linear change of curvature
p. 626-629
On the fundamental solution of an equation describing the propagation of longitudinal waves in a dispersive medium
p. 629-633
Whitham's equation with a singular kernel
p. 633-636
Remarks on the paper “Numerical comparison of various models for metal evaporation”

Sommaire du Fascicule no. 5

The method of quasi-solutions for the problem of determining the eigenfunctions of a linear operator
p. 643-650
Accelerated conjugate gradient method
p. 651-660
Polynomial optimization problems
p. 661-675
On quasiblock discrete programming problems with supplementary constraints
p. 676-687
The method of local linearization in the numerical solution of stiff systems of ordinary differential equations
p. 688-699
A mixed method for two-dimensional stationary self-consistent problems
p. 700-710
Solvability of an exterior initial-boundary value problem for the gravitational gyroscopic wave equation
p. 711-719
Approximate solution of a problem of the dynamics of a viscous stratified liquid
p. 720-729
Hydrodynamic equations in the kinetic theory of reacting gases
p. 730-740
A numerical method for solving the equations of a viscous shock layer
p. 741-750
Viscous and elastic stress tensors in hydrodynamic computations
p. 751-762
The correctness of algebraic closures of finite degree of a family of estimate-computing algorithms for regular problems
p. 763-770
An algorithm for reconstructing functions
p. 771-776
Monte Carlo method for solving statistical radiative-transfer problems
p. 776-779
Two-layer completely conservative difference schemes for the equations of gas dynamics in Euler variables
p. 779-784
Numerical solution of the problem of stabilization by heating a turbulent layer in a flow without shift
p. 784-787
Numerical solution of some problems of shallow-water theory
p. 788-791
Approximation of the solution of an inverse difraction problem by delta-functions and Gauss distributions
p. 791-793
On a nonlinear hyperbolic optimal control problem
p. 793-794
Ixaru L. Gr. Numerical methods for differential equations and applications. Bucuresti: Ed. Acad.; Dordrecht etc.: R. Reidel Publ. Co., 1984. XXI+337 p. (Book review)
Corrections: "Calculation of eigenvalues of the Mathieu equation with a complex parameter”
Corrections: "Variational principles for the transport equation and the method of sperical harmonics"

Sommaire du Fascicule no. 6

An analogue of the Aitken–Steffensen method with controlled step
p. 803-817
A method of searching the stationary points of a connected max-min
p. 818-828
Method of feasible directions for solving problems of convex multicriterion optimization
p. 829-838
Optimal strategies for restoring characteristic functions
p. 839-846
On the transfer from infinity of admissible boundary conditions for systems of linear ordinary differential equations with a large parameter
p. 847-866
Matched estimates of the rate of convergence of the net method for Poisson's equation in polar coordinates
p. 867-874
A semi-iterative multigrid method and its implementation as a program for solving spatial boundary value problems
p. 875-888
Diffraction of electromagnetic waves by a wedge with anisotropically conducting faces
p. 889-897
Monatomic rarefied gas flow over a circular rotating cylinder
p. 898-904
Computational possibilities of the apparatus of generating functions in discrete problems
p. 905-911
The use of convolution algebras to construct correct recognition algorithms
p. 912-923
Disjunctive normal forms of Boolean functions with a small number of zeros
p. 924-931
A property of Hurwitz matrices in the regularization of a system of linear algebraic equations
p. 932-934
On the limit possibilities of second-order measurement transducers
p. 935-939
Comparison of three methods of calculating the flow of a viscous gas over plates
p. 940-945
Construction of complete systems in diffraction theory
p. 945-949
Representation of Boolean functions with a predetermined number of zeros by systems of linear inequalities
p. 949-952
Higher order numerical approximation method for the solution of two-dimensional boundary layer problems
p. 952-953
On $N$-generalizations of $P_W$-algorithms
p. 954-955

Sommaire du Fascicule no. 7

Conditions of existence and analytic regularization of the solution of some Fredholm equations of the first kind
p. 963-975
Minimization of a class of non-differentiable functionals by a relaxation method
p. 976-983
Algorithms of polynomial complexity for computing the radius of stability in two classes of trajectory problems
p. 984-992
Discrete approximation and stability of the stochastic programming problem with complete recourse
p. 993-1004
The proof of a quasi-equilibrium approximation in the theory of sorption dynamics
p. 1005-1011
On a singularly perturbed quasilinear parabolic problem with unsmooth corner boundary functions
p. 1012-1021
An iterational method of solving an inverse problem for the wave equation in a segment
p. 1022-1031
Difference schemes of second-order of accuracy for the equations of the one-dimensional motion of a viscous gas
p. 1032-1049
Integral equations of the first kind with a logarithmic singularity in the kernel and their application to problems of diffraction by thin screens
p. 1050-1057
Quantum-statistical calculation of the properties of a mixture of chemical elements allowing for fluctuations in the occupation numbers of electron states
p. 1058-1067
Reduction and analysis of the solutions of the problem of the crystallization of filtered solutions
p. 1068-1077
Numerical solution of an inverse problem of the dynamics of a radiating gas with axial symmetry
p. 1078-1084
The choice of the number of particles for the “particles in cells” method
p. 1085-1094
A method for solving a class of singularly perturbed boundary value problems
p. 1095-1100
A third-order differential equation
p. 1100-1105
The completeness of radical functions in the problem of the oscillations of a viscous stratified fluid in an elastic shell
p. 1105-1107
On the calculation of mechanical values of a hydrodynamic flow on the basis of numerical solution of the Navier–Stokes equations
p. 1107-1111
The necessary conditions for the optimality of three-dimensional bodies in a supersonic gas flow
p. 1111-1114
All-Union school on continuum mechanics models. Work meeting of the section “Kinetic models of continuum mechanics”

Sommaire du Fascicule no. 8

The minimal pseudo-inverse matrix method
p. 1123-1138
Some higher-order iterative processes for solving nonlinear operator equations
p. 1139-1144
An algorithm for solving large-scale travelling-salesman problems and its numerical implementation
p. 1145-1153
Approximation of second-order hyperbolic operator-differential equations
p. 1154-1165
Approximate conformal mapping of certain polygons onto a strip by the block method
p. 1166-1175
Convergence of the summary approximation method for certain nonlinear equations of parabolic type
p. 1176-1183
On the non-stationary Larsen problem
p. 1184-1194
The diffraction of internal waves by a half plane immersed parallel to the free surface of a compressible liquid
p. 1195-1202
Numerical solution of wave dynamics problems using ES-1055 M vector processor
p. 1203-1211
The problem of the scattering of a planar acoustic wave by a thin solid of rotation in a two-layer medium
p. 1212-1223
A method of solving problems of the asymptotic theory of interaction between the boundary layer and the external flow
p. 1224-1232
On a numerical solution of related problems of supersonic flow over deformable shells of finite thickness
p. 1233-1243
Methods of inverting matrices of order $2^n$
p. 1244-1248
A posteriori estimates of inverse operators using projection methods
p. 1249-1252
Compatible convergence-rate estimates of the mesh method for the axisymmetric Poisson equation in spherical coordinates
p. 1252-1255
Numerical solution of the non-stationary Maxwell equations for calculations of microwave amplifier with dielectrical filling
p. 1256-1261
Extension of the SHASTA method to the numerical solution of the two-dimensional non-stationary equations of shallow water
p. 1262-1266
Optimization of the weighting factors in recognition algorithms with representative sets
p. 1266-1271
A new scientific journal
p. 1272-1273
Devroye L. Non-uniform random variate generation. N. Y. etc.: Springer, 1986. 3CVI+843 p. DM 164. (Book review)
p. 1273-1274

Sommaire du Fascicule no. 9

Nikita Nikolaevich Moiseev (on the occasion of his seventieth birthday)
p. 1283-1284
Stochastic projection spline regularization based on the discrepancy principle
p. 1285-1295
Local spline approximation on a uniform mesh
p. 1296-1310
Vector Monte Carlo methods for computing perturbations and derivatives with respect to parameters
p. 1311-1319
Numerical solution of a nonlinear spectral problem for symmetric matrices
p. 1320-1326
On the construction of solutions in dynamic models of multilateral conflicts
p. 1327-1334
Optimal control of thermal-neutron nuclear reactors
p. 1335-1348
Generation of covering and partition test problems
p. 1349-1359
Approximation of solutions of singularly perturbed boundary-value problems with a corner boundary layer
p. 1360-1374
Multipoint problems for systems of ordinary differential equations
p. 1375-1380
Numerical realization of the method of fictitious domains for elliptic equations, based on the alternate-triangular method
p. 1381-1387
Approximation of systems of hyperbolic equations that contain large parameters in the nondifferential terms
p. 1388-1394
On the justification of a method for studying vector problems of diffraction by scatterers in a half space
p. 1395-1401
The problem of finding the maximum upper zero for a series of subclasses of monotonic Boolean functions
p. 1402-1411
Numerical realization of piecewise-uniform regularization algorithms
p. 1412-1416
An estimate of the error of the solution of systems of linear algebraic equations
p. 1416-1418
Error estimates for Lagrange–Chebyshev interpolation formulae
p. 1418-1420
The method of fictitious boundary elements
p. 1420-1423
Diffusion of a strong magnetic field in a thin incompressible conductor
p. 1424-1428
Diffraction of internal waves by a half-plane, parallel to the free surface of a liquid
p. 1428-1433
Брычков Ю. А., Маричев О. И., Прудников А. П. Таблицы неопределенных интегралов. М.: Наука, 1986. 192 с. 1 р. (Рецензия)
Попов Б. А., Теслер Г. С. Вычисление функций на ЭВМ. Справочник. Киев: Наук. думка, 1984. 59 с. (Рецензия)

Sommaire du Fascicule no. 10

The use of unsmooth penalty functions in the regularization of unstable minimization problems
p. 1443-1450
On the choice of parameters in the method of penalty functions
p. 1451-1461
Modification of the extra-gradient method for solving variational inequalities and certain optimization problems
p. 1462-1473
A numerical method for multistage optimization problems with stepwise calculation of the directions of the descent
p. 1474-1488
Error estimate for an approximate solution of certain singular ordinary differential equations
p. 1489-1503
Some properties of methods for the numerical integration of systems of the form $\ddot x=f(x)$
p. 1504-1515
A method of linearizing the inverse problem for the wave equation
p. 1516-1526
On the analysis of a difference scheme for the Laplace equation in a singularly perturbed domain
p. 1527-1535
Convergence of the net method for third-order nonlinear partial differential equations
p. 1536-1554
The principles of radiation, limit absorption and limit amplitude in problems of the diffraction of waves by one-dimensional periodic gratings
p. 1555-1562
A numerical method for calculating gas flows in channels and nozzles in the direct, inverse and combined formulations
p. 1563-1572
Reconstruction of a tridiagonal matrix
p. 1573-1577
Monte Carlo estimation of integrals occurring in the nonlinear theory of gravitational instability
p. 1577-1580
Numerical solution of a problem of pressurized filtration under a hydraulic engineering structure
p. 1580-1584
On the problem of the existence of a complete axiomatic program semantics that does not admit side effects
p. 1585-1589
On gravitational gyroscopic waves in a semi-bounded channel
p. 1589-1593
Cesari L. Optimization – theory and applications. Problems with ordinary differential equations. N. Y. etc.: Springer, 1983. XIV+542p. (Book review)
p. 1594-1595
Bifurcation: analysis, algorithms, applications. Ed. Кupper Т., Seуdel R., Troger H. Basel: Birkhäuser Verlag, 1987. VIII+359p. (Book review)

Sommaire du Fascicule no. 11

On a class of algorithms for finding the maximum eigenvalue and corresponding eigenvector of an irreducible non-negative matrix
p. 1603-1613
Some variational methods for constructing approximations of nonsmooth solutions of ill-posed problems
p. 1614-1627
On the calculation of the multiple complex roots of the derivatives of cylindrical Bessel functions
p. 1628-1639
Iterative regularization of a method for solving optimal control problems
p. 1640-1650
Stable numerical methods for solving certain inverse problems of vibrational spectroscopy
p. 1651-1661
Comparison of different methods for solving the Dirichlet problem for the Laplace equation in complex domains
p. 1662-1679
The basis of the Hilbert method in the theory of kinetic equations
p. 1680-1689
Some inverse problems for the linearized Boltzmann equation
p. 1690-1700
The diffraction of plane waves in a compressible stratified liquid by a strip of finite width
p. 1701-1708
Algorithms for calculating viscous gas flows based on compact third-order approximations
p. 1709-1724
S. K. Godunov's implicit high-accuracy scheme for the numerical integration of Euler's equation
p. 1725-1735
Some estimates for the eigenvalues of a perturbation operator
p. 1736-1739
Numerical simulation of a circulated gas flow based on the complete and simplified Navier–Stokes equations
p. 1739-1744
Decision making based on a conjunction exhausion method in the study of pharmacological effect of receptor type drugs
p. 1744-1747
A class of kinetically compatible difference schemes for gas dynamics
p. 1748-1752
The unconditional minimization of non-convex functions
p. 1752-1756

Sommaire du Fascicule no. 12

Rough conjugate directions methods
p. 1763-1770
An iterative method for solving an eigenvalue problem in the case of a multiple spectrum
p. 1771-1779
On the control of discrete systems in an infinite time interval
p. 1780-1789
The conditions for an extremum in spectral isoperimetric problems with variable boundary
p. 1790-1801
A new lower bound for the quadratic assignment problem
p. 1802-1811
Iterative methods for solving singularly perturbed boundary value problems of conditionally stable type
p. 1812-1823
Non-stationary planetary waves in semirestricted channels
p. 1824-1833
The Cauchy–Poisson problem for gravitational-capillary waves on water of variable depth
p. 1834-1844
Nonlinear scattering of a pulsed molecular beam in a rarified gas
p. 1845-1852
Increase in the order of approximation of a scheme of S. K. Godunov
p. 1853-1860
Calculation of non-potential ideal gas flows in axisymmetric nozzles by the approximate factorization method
p. 1861-1867
On lower bounds for the complexity of disjunctive normal forms of Boolean functions with a small number of zeros
p. 1868-1877
Optimal reconstruction of monotone Boolean functions
p. 1878-1887
Generation of Gaussian correlated pseudo-random numbers
p. 1888-1889
An explicit absolutely stable difference scheme for a fourth-order parabolic equation
p. 1890-1894
A method for solving two-dimensional diffraction problems on periodic structures
p. 1894-1900
Conservative kinetically matched schemes for solving gas-dynamic problems
p. 1900-1906
Estimates for the solution of a boundary value problem for the transport equation and the method of successive approximations
p. 1906-1907