Geodesic

Sommaire du Fascicule no. 1

A stochastic approach to finding the zero of a function
p. 3-13
An algorithm for the method of successive approximations in optimal control problems
p. 14-34
Best sequential search strategies for finding an extremum
p. 35-50
Acceleration of convergence in the solution of minimax problems
p. 51-60
The optimization of objects with distributed parameters, described by Goursat–Darboux systems
p. 61-77
The existence of the value of a game in pursuit problems
p. 78-88
Construction and convergence of an $h^2$-scheme for a linear boundary value problem for a second-order differential equation with deviating argument
p. 105-111
The singularities of the analytic continuation and resonance properties of the solution of the scattering problem for the Helmholtz equation
p. 112-138
Determination of the geoelectric cross-section by the regularization method
p. 139-149
An investigation of the effectiveness of the use of asymptotic solutions in computations by the Monte Carlo method
p. 150-158
Electromagnetic field of a linear radiator situated within a parabolic cylinder with slits
p. 159-169
Measures of the importance of objects in complex systems
p. 170-184
Statistical regularization of systems of algebraic equations
p. 185-191
The Brauer bounds for characteristic roots of indecomposable stochastic matrices
p. 192-198
A method of calculating the complex roots of a system of non-linear equations
p. 199-203
The solution of some equations containing discontinuous monotonic operators
p. 204-207
The approximate method of the residual in nonreflexive spaces
p. 207-212
Solution of an equation of convolution type with an inaccurately prescribed kernel by the regularization method
p. 212-218
Generalization of a method of solving non-linear equations
p. 218-221
A strengthened Newton–Kantorovich method with approximation of the inverse operator
p. 222-227
Minimization of maximin functions
p. 227-230
Two approaches to the difference method of solving Neumann's problem in a rectangular region
p. 230-236
Convergence of the collocation method for quasilinear second-order equations of parabolic type
p. 236-241
The connection between the solutions of the Helmholtz equation and those of Schrödinger type equations
p. 241-249
Limitation of the variance of 'local' estimates in the solution of radiative transfer problems by the Monte Carlo method
p. 249-252
Calculation of the total flux at a point
p. 252-257
Behaviour of the variance in the measurement of the distribution of the mean free path
p. 257-262
Maximum propulsion nozzles with a given side surface area
p. 262-265
Diffraction of waves by an arbitrary set of non-concentrically stratified spheres
Some new mathematical books
p. 267-272

Sommaire du Fascicule no. 2

Certain algorithms for finding the approximate solution of ill-posed problems on a set of monotone functions
p. 283-297
The iterative solution of linear programming problems
p. 298-308
The model of Gross in the case of nonconflicting interests
p. 309-320
The method of penalty functions in the problem of the determination of maximin
p. 321-333
The asymptotic behavior of the solutions of the finite difference Cauchy problem
p. 334-351
Efficient difference schemes for the solution of the heat equation in polar, cylindrical and spherical coordinates
p. 352-363
The source function of the difference Laplace operator
p. 364-373
The Helmholtz equation in a wave guide (the elimination of the boundary condition at infinity)
p. 374-387
Short wave asymptotic behavior of the solution of the problem of diffraction on a circular disc
p. 388-412
Diffraction of waves on a tape grid of the “Venetian blind” type
p. 413-428
The utilization of movable grids in gas dynamic calculations
p. 429-440
A method of through computation for two- and three-dimensional supersonic flows. I
p. 441-463
The successive Bayesian regularization of algebraic systems of equations
p. 464-465
The comparison of probabilistic and stationary estimates of the terminal error of an iteration process
p. 465-467
An application of orthogonal polynomials to the construction of cubature formulas
p. 467-475
A certain approximate method of the inverse Laplace transform
p. 475-480
Two remarks on the choice of the regularization parameter
p. 481-483
Difference schemes with a splitting operator for a general system of second order equations of hyperbolic type
p. 484-489
On a general method for integrating Schrödinger's equation with singular right-hand side in a constant homogeneous electromagnetic field
p. 489-491
The $\beta $-convergence of the projection method for nonlinear operator equations
p. 492-497
The convergence of a certain family of regularizing algorithms
p. 497-502
Methods of Adams type of the highest power
p. 503-509
Approximate determination of the maximin with constraints that connect variables
p. 510-517
The principle of the best guaranteed result in control problems with several functionals
p. 517-521
Norms in spaces of multilinear forms
p. 521-525
The existence of solutions of certain equations that contain monotone discontinuous transformations
p. 525-528
On the displacement of boundary conditions through singular points
p. 528-532
Estimation of the convergence rate of the Green's function method in electron spectrum computations
p. 532-537
Computation of corrections for geometric optics. III. The dynamic problem of elasticity theory
p. 537-544
Relaxation of a reacting gas described by the Boltzmann kinetic equation
p. 545-552
Extension of the system of equivalent transformations of expressions
p. 552-556
The third all-union conference on Monte Carlo methods
p. 557-558
R. Klötzler. Mehrdimensionale Variationsrechnung. Berlin, VEB Deutscher Verl. Wiss.; Basel, Birkhäuser Verl., 1969, 299 S. (Book review)
p. 558-559
W. Hаасk, W. Wendland. Vorlesungen über Partielle und Pfaffsche Differentialgleichungen. Basel und Stuttgart, Birkhäuser Verl., 1969, 555 S. (Book review)
p. 559-560

Sommaire du Fascicule no. 3

Problems of dynamic convex programming
p. 571-581
Asymptotic properties of the solution of a finite-difference equation with small steps in a rectangular region
p. 582-597
Stability of difference schemes for elliptic equations with
p. 598-611
Economic schemes for the equation of heat conduction with a boundary condition of the third kind
p. 612-626
Solution by separation of the variables of some mixed boundary value problems in the hydrodynamics of conducting media
p. 627-638
Integral transforms as a means of solving boundary value problems in neutron transport theory
p. 639-655
Recent extensions to Eulerian methods for numerical fluid dynamics
p. 656-672
Numerical study of viscous gas flow in the wake of a plane body
p. 673-685
Asymptotic estimates for flows with free boundaries
p. 686-699
Classification of shock waves in a radiating gas
p. 700-713
A certain method of perturbations of the theory of transport processes in reacting gases
p. 714-728
Plane packings of a tree
p. 729-738
Some properties of the zeros of the cylinder functions of two real variables
p. 739-746
The calculation of coefficients and estimation of the error of interpolation quadrature formulas for the simplest integrals of Cauchy type and of singular integrals over an open contour
p. 746-756
The error of an approximate solution of linear problems
p. 756-762
Certain estimates of the rate of convergence of regularized approximations for equations of convolution type
p. 762-770
Asymptotic solution of the cauchy problem for the equation $\varepsilon^2tu_{xx}=u_t+[\varphi(u)]_{x}$, degenerating for $\varepsilon=0$ into the problem of an arbitrary shock disintegration for the rarefaction wave case
p. 770-775
Difference schemes of a high order of accuracy for an equation of the Legendre type
p. 776-781
The problem of constructing variational-difference schemes for elliptic equations
p. 781-785
Numerical method of constructing attainability sets for a linear control system
p. 785-788
The continuity of the solution of the Mayer problem for a singular perturbation
p. 788-791
Conditions for optimality in a certain problem of control of a heat transfer process
p. 791-799
The minimax problem with dependent constraints
p. 799-805
The method of continuous computation for two-dimensional and spatial supersonic flows. II
p. 805-813
Solution by the method of sources and sinks of the problem of the impact of an elastic body against a rigid obstacle
p. 814-819
An improved parenthesis-free notation for formulas
p. 820-822
An indexed three-valued calculus and its geometric interpretation
p. 822-827
Solution by the straight-line method of a quasi-linear two-phase problem of the Stefan type with weak constraints on the input data of the problem
p. 828-829
A. Rényi. Probability theory. Budapest, Akad. Kiadó, 1970, 666 pp. (Book review)
p. 829-830
P. L. Вutzеr, R. J. Nеssеl. Fourier analysis and approximation. Vol. I. One-dimensional theory. Basel–Stuttgart, Birkhäuser Verlag, 1971, 553 pp. (Book review)
p. 830-831

Sommaire du Fascicule no. 4

A recurrence method for computing the normal solutions of linear algebraic equations
p. 843-857
Continuation of network functions with preservation of class
p. 858-870
Seeking maximins by the method of “residuals”
p. 871-881
The optimal control problem for branching processes
p. 882-887
A certain algorithm for seeking the absolute extremum of a function
p. 888-896
On the problem of seeking the successive maximin
p. 897-908
Finding the minimax for a certain class of functionals that characterize the distribution of resources
p. 909-924
Optimal control in a three-sector model of the economy of an underdeveloped country
p. 925-942
Approximate solution of a certain problem of optimal control
p. 943-959
Choice of the iteration parameters in the Richardson method
p. 960-973
Diffraction of a plane wave by a grating of parallel strips in the case of short wavelengths
p. 974-989
Methods of solving one-dimensional problems of radiation gas dynamics
p. 990-1000
On the minimal Gershgorin domain
p. 1001-1004
A method for the asymptotic estimation of integrals
p. 1005-1012
Search for the path of steepest descent in certain minimax problems
p. 1013-1021
$n$-Person games with incomplete links
p. 1022-1028
The role of mutual information exchange in two-person games with nonconflicting interests
p. 1029-1034
A numerical method of solving the Cauchy problem for the Bellman equation in the time-optimality problem for a linear system
p. 1035-1037
The non-linear problem of the relaxation of a space charge
p. 1037-1041
The solution of kinetic equations by the divergence method of characteristics
p. 1041-1048
The problem of the three-dimensional localization of thermal perturbations in the theory of non-linear heat conduction
p. 1048-1053
Numerical simulation of the relaxation of a beam of charged particles in a strong electric field
p. 1053-1060
Some algorithms of the distribution of resources in the multi-programme solution of problems
p. 1061-1066
Estimation of the quality of the experts that create a learning table in a pattern recognition problem
p. 1066-1070
Computer modelling of a holographic process
p. 1070-1077
A remark on pseudorandom sequences
p. 1077-1082

Sommaire du Fascicule no. 5

Application of a normalized process to the solution of linear algebraic systems
p. 1091-1098
Numerical methods for finding saddle points
p. 1099-1127
Problems of discrete control with phase constraints
p. 1128-1144
Some problems of the optimization of large systems
p. 1145-1158
The reduction of certain physical problems to the search for the minimum of maximal deviation
p. 1159-1167
The approximate solution of ill-posed problems in normed spaces
p. 1168-1181
A new class of finite-difference methods
p. 1182-1196
The computing stability of two-layer and three-layer iteration schemes
p. 1197-1207
The convergence of additive schemes with equations on graphs
p. 1208-1219
A variational difference method for solving the third boundary value problem for an elliptic equation in a three-dimensional domain with a smooth boundary
p. 1220-1233
Variational-difference methods for solving the first boundary value problem for the biharmonic equation
p. 1234-1244
Solution of certain problems of neutron transport theory by the method of generalized eigenfunctions
p. 1245-1264
The Green's function of the linearized viscous transonic equation
p. 1265-1279
Computation of transonic flow in a three-dimensional nozzle
p. 1280-1291
Computation of viscous gas flow with high Reynolds number past a blunt body
p. 1292-1303
An estimate of the accuracy of the approximation of the derivatives in the case of nonuniform partitioning of the domain of the definition of the function
p. 1304-1307
A numerical method of Laplace inversion
p. 1308-1312
Local minima in the transport problem with a target function that is concave in the sense of Schur
p. 1312-1316
The regularization of a certain class of nonstable extremal problems
p. 1316-1318
The stability of difference schemes when solving ill-posed problems by the method of quasi-inversion
p. 1319-1325
Application of the Adams method to the problem of slowing down neutrons in a homogeneous infinite medium
p. 1325-1331
Diffraction by a certain class of corrugated surfaces
p. 1331-1337
The generalized Green's function of the Helmholtz operator and its connection with the normalization of the solution of an equation
p. 1337-1342
Numerical solution of the boundary value problem for the Navier–Stokes equation
p. 1343-1349
Two remarks on the simulation of random variables
p. 1350-1352
A method of computer generation of correlated Gaussian pseudo-random numbers
p. 1353-1357
S. Fenyö, Т. Frеу. Moderne mathematische Methoden in der Technik. Band 1. Basel und Stuttgart, Birkhäuser Verl., 1967, 409 S. (Book review)
p. 1358-1359
S. Fenyö. Moderne mathematische Methoden in der Technik. Band 2. Basel und Stuttgart, Birkshäuser Verl., 1971, 336 S. (Book review)
G. Szász. Theorie des treillis. Budapest, Akad. Kiadó, 1971, 227 pp. (Book review)
Н. Schoch, W. Schatz. Programmierung in FORTRAN. 2. Aufl. Leipzig, B. G. Teubner, 1971, 406 S. (Book review)
p. 1359-1360

Sommaire du Fascicule no. 6

Newton's method for the determination of the eigenvalues and eigenvectors of a matrix
p. 1371-1380
A certain direct method of solving singular integral equations
p. 1381-1390
The stationary phase method for a double integral with arbitrarily situated stationary point
p. 1391-1405
The role of information in an antagonistic game
p. 1406-1419
A certain class of games with incomplete connections
p. 1420-1429
Adams' methods for the Cauchy–Volterra problem
p. 1430-1443
The convergence of difference methods for certain degenerate quasilinear equations of parabolic type
p. 1444-1455
Optimization of the two-step iterative method
p. 1456-1464
A gradient method of solving an optimal problem for a system of telegraph equations
p. 1465-1477
The determination of certain non-linear characteristics of anisotropic media
p. 1478-1488
The non-linear acoustics of a radiating gas. I. General analysis of the equations
p. 1489-15111
Studies of the motion of a medium in the neighbourhood of a point of junction of shock waves in the linear and non-linear cases
p. 1512-1529
Calculation of one-dimensional hydrodynamics in Eulerian coordinates
p. 1530-1542
An algorithm for the diagnosis of deadlocks
p. 1543-1553
Asymptotic expansion of the solutions of integral equations with $\delta$-form kernels
p. 1554-1564
The approximation of the quasisolutions of a Fredholm integral equation of the first kind of a special form
p. 1565-1568
Lexicographic problems of linear programming
p. 1568-1571
Problems of linear dynamic programming with lag
p. 1572-1578
A method of solving certain nonstable problems of the synthesis of optimal control
p. 1579-1584
A change of variables method for equations in Banach spaces
p. 1584-1591
A certain regularizing algorithm for ill-posed problems with an approximately given operator
p. 1592-1594
A priori estimates in $W_2^2$ in a convex domain for systems of elliptic difference equations
p. 1595-1601
Estimation of the error for a schrodinger-type equation with a complex potential
p. 1601-1603
A numerical method of solving Fredholm integral equations of the first kind in high-frequency diffraction problems
p. 1603-1606
Calculation of two-dimensional flow from detonations
p. 1606-1611
A property of modified factored grammars
p. 1612-1615
Н. Katzan, Jr. APL programming and computer techniques. New York–Cincinnati–Toronto–London–Melbourne, Van Nostrand Reinold Co., 1970, XIII+329 pp. (Book review)
Н. W. Cadow. OS/360 job control language. New Jersey, Prentice-Hall Inc., Englewood Cliffs, 1970, XI+301 pp. (Book review)
p. 1616-1617
G. К. Кapur. IBM 360 assembler language programming. New York–London–Sydney–Toronto, John Wiley and Sons, Inc., 1970, XVIII+560 pp. (Book review)
p. 1617-1618