Geodesic

Sommaire du Fascicule no. 1

On the 60th birthday of Ivan Semenovich Berezin
p. 3-4
Local approximation by cubic splines
p. 5-10
Arithmetic operations on continued fractions
p. 11-17
Second boundary value problem for quasilinear parabolic systems of chemical kinetics type
p. 18-28
On a method for solving elliptic difference equations
p. 29-34
A method of separating the domains for elliptic equations with discontinuous coefficients
p. 35-39
Numerical solution of an integral equation of the first kind with logarithmic singularity by the method of interpolation and collocation
p. 40-53
Variational schemes of magnetohydrodynamics in an arbitrary coordinate system
p. 54-68
A class of equations of mathematical physics arising in the dynamics of biological macrosystems
p. 69-79
Method of semi-inversion and infinite systems of equations in certain problems of wave diffraction
p. 80-88
Numerical studies of the stability of particlelike solutions of the equations of a scalar field
p. 89-106
Linearization of the energy equation when it is simultaneously solved with the equation of radiative transfer
p. 107-112
Application of two-centered functions of a clearly discrete spectrum in an adiabatic representation of the three-body problem
p. 113-126
Application of a relaxation method for a solution of stationary difference problems of convection
p. 127-138
The subsonic flow of a gas past a wing profile
p. 139-149
Computation of supersonic flow around bodies of revolution by a viscous gas at small angles of attack
p. 150-156
A method for raising the reliability of classification in the presence of several classifiers, based on the principle of monotonicity
p. 157-167
Properties of the trajectories of the appointments problem and the travelling-salesman problem
p. 168-175

Sommaire du Fascicule no. 2

Mikhail Alekseevich Lavrent'ev (1900–1980)
p. 259-262
Solution of the algebraic eigenvalue problem by division into cells
p. 263-270
On the asymptotic properties of the method of steepest descent in eigenvalue problems
p. 271-285
Dispersion of a system of sets and numerical problems
p. 286-297
Numerical search for a distribution function satisfying a linear system of constraints
p. 298-305
Optimization of linear systems with variable structure
p. 306-314
Some methods of solving convex programming problems
p. 315-328
A new algorithm for solving the discrete programming problem
p. 329-338
Implicit schemes of higher accuracy for systems of equations
p. 339-354
The solution of singular integral equations by collocation methods
p. 355-362
Unbiased random estimates of iterations of an integral operator with power nonlinearity
p. 363-370
An algorithm for calculating scalar potential in a problem on the formation of beams
p. 371-384
An iterative method of solving a class of evolution equations connected with physical kinetics
p. 385-399
Numerical method for solving equations of quantum mechanical collisions
p. 400-408
A variational principle for obtaining magnetohydrodynamic equations in mixed eulerian-lagrangian variables
p. 409-422
On electromagnetic radiation of non-stationary source of gamma-quants at surface with finite electrical conductivity
p. 423-431
Algorithms for calculations of a complex reactor cell by the Monte Carlo method
p. 432-440
Numerical solution in terms of stress of problems in the theory of shells using an oblique-angled grid
p. 441-451
Schemes of the finite-element method of a higher order of accuracy for solving a problem in the theory of elasticity
p. 452-469
Search for the maximal upper zero for a class of monotone functions of $k$-valued logic
p. 470-481
The invariance of some models of recognition algorithms
p. 482-490
The optimal step and regularization for Newton's method
p. 491-497
A method for solving monotone variational inequalities
p. 498-499
On a method of random search
p. 499-503
A modification of Wolfe's method
p. 504-508
Difference methods for the solution of the Cauchy problem for elliptic equations
p. 509-511
Application of Monte Carlo methods to the study of the states of a gas mixture with internal degrees of freedom
p. 511-516
Optimization of supersonic parts of three-dimensional nozzles
p. 517-519
All-Union Symposium “Numerical methods in hydraulics”
p. 520-521
Corrections: “Calculation of the interaction of laser radiation with an aluminium vessel and its vapour”

Sommaire du Fascicule no. 3

Numerical methods for solving problems with Toeplitz matrices
p. 531-544
A class of iteration processes for solution of degenerate systems of linear algebraic equations
p. 545-552
On the problem of interpretation of data obtained by observations by means of a discrete set of probes
p. 553-560
An optimal control problem with mixed constraints for systems with distributed parameters
p. 561-571
Minimization of nonsmooth functions
p. 572-584
A stochastic method of discrepancies for seeking max-min
p. 585-594
A stochastic problem of stock planning and irrigation
p. 595-604
Method of solving the knapsack problem
p. 605-611
On problems of selecting the minimum number of performers
p. 612-625
Solution of a simple allocation problem
p. 626-634
Error estimations of a numerical solution of ordinary differential equations
p. 635-650
Computational errors in some methods of differential pivotal condensation
p. 651-664
Asymptotic solution of a system of singularly perturbed equations of elliptic type with angular boundary layer
p. 665-677
Approximate solution of Hilbert's homogeneous boundary value problem for a circle using polylogarithms
p. 678-684
Discrete solutions of convolution-type equations and the mathematical processing of resonance spectra
p. 685-695
Scheme for calculation of radiation transfer with Compton scattering
p. 696-706
The use of the parallel-chord method to solve hydrodynamic difference equations
p. 707-720
The eigenvalues and wave functions of the two-centre problem in quantum mechanics
p. 721-730
Nonlinear problem of wave diffraction by a bounded body
p. 731-736
Methods for the numerical modelling of turbulent flows of a fluid in a channel
p. 737-747
Analysis of the configurations that occur when an arbitrary discontinuity decays
p. 748-758
Problems involved in synthesizing tests for tables
p. 759-765
A method of solving systems of linear algebraic equations of large dimension
p. 766-768
Some methods of using symmetry to reduce the order of linearly-algebraic problems
p. 769-772
Submultiplicativity of some norms of matrices
p. 773-775
An iterative regularization of Newton's method
p. 775-778
The method of penalty functions in eigenvalue problems
p. 779-782
Analysis of discrete optimization algorithms using incomplete information
p. 783-786
Calculation by Monte Carlo methods of derivatives of linear flow functionals with respect to the parameters of surface
p. 787-790
Equations of the invariant imbedding method for the functional of the solution of the transport equation
p. 790-794
The development of axisymmetric perturbations when a gaseous cavity is compressed by an ideal fluid
p. 794-797
The accuracy of the large-particle method for gas-dynamic problems
p. 798-803
An iterative numerical method of computing the internal flows of a weakly ionized plasma in an electric field
p. 804-808

Sommaire du Fascicule no. 4

Determination of the greatest eigenvalue and the corresponding eigenvector of a non-negative matrix
p. 819-834
Quadratic rate of convergence of a linearization method for solving discrete minimax problems
p. 835-843
Analysis of the role of information pattern in dynamic models of conflict situations
p. 844-852
Control-aggregation-based decomposition in dynamic programming
p. 853-864
Convex lexicographic problems
p. 865-880
Decomposition method of solution of block linear programming problems with connecting variables
p. 881-886
A variational difference scheme for a boundary value problem with a small parameter multiplying the highest derivative
p. 887-896
An iterational method for solving non-linear boundary value problems
p. 897-906
The strict extremum principle for a weakly parabolically connected, second-order operator
p. 907-925
The method of relaxation on a sequence of meshes for elliptic equations with natural boundary conditions
p. 926-944
Approximation solution of Tricomi's problem by linear programming
p. 945-951
Richardson extrapolation in the approximate solution of Fredholm integral equations of the second kind
p. 952-961
Methods of increasing the accuracy of approximate solutions of nonlinear singular integral equations of the Chew–Low type
p. 962-969
An application of the invariant imbedding method
p. 970-979
Some properties of travelling waves in a medium with nonlinear thermal conductivity and a source of heat
p. 980-989
Rotary motion of a rigid body with a cavity partially filled with a fluid
p. 990-1002
The splitting method for problems of the dynamics of an inhomogeneous viscous incompressible fluid
p. 1003-1017
Study of the effect of a strong blast of a gas from the surface on a hypersonic flow past blunt bodies
p. 1018-1030
The complexity of some spectral problems for Toeplitz matrices
p. 1031-1035
Analysis of a gradient solution of the travelling salesman
p. 1035-1038
Averaging with respect to two small parameters of an elliptic equation with rapidly oscillating coefficients
p. 1039-1045
The selfadjoint V. A. Steklov problem with oblique derivative
p. 1046-1049
Heat boundary layer in non-linear medium with volumetric heat absorption
p. 1049-1053
Some exact solutions of equations of spectral nonstationary radiation transfer
p. 1054-1055
The effective method of Klein–Nishina–Tamm distribution modelling
p. 1056-1061
Seminar of chemical kinetics>>
p. 1062-1063
Linear spaces and approximation. Ed. Butzer P. L., Szokefalvi-Nagy B. Proc. Conf. Held at the Oberwolfach Math. Res. Inst. Black Forest, August 20–27, 1977. Basel-Stuttgart: Birkhäuser, 1978, 685 p.– (Internat. Ser. Numer. Math., Vol.40). (Book review)
Jacobson D. Н. Extension of linear-quadratic control, optimization and matrix theory. London–New York: Acad. Press, 1977, X+217 p. (Book review)
Неlgason S. The Radon transform. Boston etc.: Birkhäuser, 1980, 192 p. (Book review)
p. 1065-1066

Sommaire du Fascicule no. 5

Optimal linear procedures for solving linear operator equations with random data
p. 1075-1090
Evaluation of integrals of rapidly oscillating functions by Longman's method
p. 1091-1099
On the justification of the selection method for a multiplicative generator of pseudorandom numbers
p. 1100-1107
Optimal search algorithms of the segment of greatest values for a certain class of functions
p. 1108-1115
The problem of the uniform distribution of the flow in a network
p. 1116-1125
An $\varepsilon$-subgradient method for solving convex programming problems
p. 1126-1132
A single-stage block type stochastic problem with row probability constraints
p. 1133-1139
Generalized antagonistic games
p. 1140-1153
Stability to rounding errors of directed orthogonalization
p. 1154-1167
A difference scheme of second-order accuracy for an axisymmetric Poisson equation on generalized solutions
p. 1168-1179
Conservative difference schemes for the equations of an incompressible viscous fluid in Euler variables
p. 1180-1191
The variational principle for equations of macroscopic dynamics and its application to chemical kinetics
p. 1192-1205
A method for the numerical solution of the radiation transport equation in one-dimensional problems of gas dynamics
p. 1206-1214
A procedure for the numerical investigation of unsteady subsonic flows of a viscous gas in ducts
p. 1215-1232
A method for the numerical integration of nonstationary problems of the dynamics of an elastic medium
p. 1233-1248
A difference scheme for a system of microscopic equations of a condensed medium
p. 1249-1256
Using the dispersion properties of a difference scheme of gas dynamics
p. 1257-1263
A model of pattern recognition algorithms with representative sets and systems of supporting sets
p. 1264-1275
Correct algebras of bounded capacity on the set of algorithms of the calculation of estimates
p. 1276-1291
Optimization in a class of pattern recognition algorithms with a quality functional of special type
p. 1292-1303
Solution of prediction problems with the help of methods of recognition theory
p. 1304-1310
A modification of Horner's scheme
p. 1311-1312
The stability of bases in finite-dimensional vector spaces
p. 1312-1315
The choice of the constant in A. N. Tikhonov's rule for specifying the regularization parameter in the solution of linear conditionally well-posed problems
p. 1315-1318
One-pole rational approximation of the exponent in the complex plane
p. 1318-1322
Methods of simulating discrete random variables based on randomization of the parameters of the distributions
p. 1323-1326
Projection-difference analogs of the Laplace operator
p. 1326-1328
Approximate solution of a problem of heat conductivity in the presence of a moving source of heat
p. 1329-1333
Optimization problem for the post accelerating systems of intense beams of charged particles
p. 1333-1338
Integral equations of the first kind in problems of the diffraction of electromagnetic fields by bodies of revolution
p. 1339-1342
Convergence of the iterative method for investigating toroidal axisymmetric flows with a free boundary
p. 1342-1346
Numerical solution of a problem on the design of the subsonic part of Laval's nozzle for radiative gas flows
p. 1347-1352

Sommaire du Fascicule no. 6

On the occasion of the seventy-fifth birthday of Andrei Nikolaevich Tikhonov
p. 1363-1364
Method of contracting compacta for solving nonlinear ill-posed problems
p. 1365-1375
A method for solving optimal control problems that is based on the maximum principle
p. 1376-1384
Construction of an optimal-in-one-step stochastic algorithm for searching for an extremum
p. 1385-1401
Stability conditions for linear programming problems
p. 1402-1410
Equilibrium points and Pareto points in problems with random factors
p. 1411-1422
Numerical characteristics of matrix cycles
p. 1423-1429
Estimation of the least eigenvalues for the matrix class corresponding to the Sturm–Liouville difference equation
p. 1430-1434
Nonlinear theory of optimization of statistical modeling for solving integral equations of the second kind
p. 1435-1444
Finding periodic solutions by difference methods
p. 1445-1450
Investigation of the stability of a difference boundary value problem approximating a system of acoustics equations with account taken of heat conductivity
p. 1451-1458
On the spectrum of a family of non-self-adjoint boundary value problems for systems of Helmholtz equations
p. 1459-1470
Corrections to Fok asymptotics for a diffraction field near a surface of nonconstant curvature. II
p. 1471-1480
Evaluation of concentration of atmospheric gas constituents and pollutions from the data of laser remote sensing
p. 1481-1492
The principle of iteration over subdomains in problems involving the transport equation
p. 1493-1504
The asymptotic behavior of the solution of a problem of the theory of waves on a surface of turbulent flow
p. 1505-1516
On the differential operator of problems of the theory of momentless elastic shells of non-negative Gaussian curvature
p. 1517-1532
Committee synthesis of algorithms of recognition and classification
p. 1533-1543
Algorithms of pattern recognition with continuum teaching information. I
p. 1544-1551
Search for the maximal upper zero for a class of monotone functions of finite-valued logic
p. 1552-1565
The correctness of the linear closure of a family of recognition algorithms with separating hyperplanes
p. 1566-1576
Statistically optimal interpolation by polynomials
p. 1577-1579
Statistical modeling of Markov gamma-sequences
p. 1579-1581
The effect of change of step on the stability of some a posteriori differentiation formulas
p. 1582-1586
On the non-basicity of a system of functions
p. 1586-1588
On the distribution of the fractional parts of recurrent sequences
p. 1588-1591
A staircase method of computing viscous gas flows
p. 1592-1596
A method for the numerical solution of a one-dimensional transport equation
p. 1596-1600
Velte W. Directe Methoden der Variationsrechnung. Stuttgart: Teubner, 1976, 198 S. (Book review)
Fishman G. S. Principles of discrete event simulation. New York: Wiley-Intersci., 1978, XVIII+514 p. (Book review)
p. 1601-1602