Geodesic

Sommaire du Fascicule no. 1

Errata
Errata
Errata
Difference methods for the numerical solution of problems in gas dynamics
p. 3-14
A method for the solution of the complete eigenvalue problem
p. 15-24
Homogeneous difference schemes for non-linear parabolic equations
p. 25-56
Some difference schemes for solving boundary problems
p. 57-79
On the minimum number of interpolation points in the numerical integration of the heat-conduction equation
p. 80-88
The application of a Fourier transform to the solution of a diffraction problem
p. 89-96
Propagation of electromagnetic waves in plasma across an external magnetic field
p. 97-106
The behaviour of shock waves at large distances from the point of explosion
p. 107-124
Calculation of isentropic flow with rotational symmetry in a real gas
p. 125-132
Schemes using preliminary treatment of coefficients for polynomial calculation. A program for automatic determination of parameters
p. 133-140
On the separation of the principal part of some algebraic problems
p. 141-145
The stationary phase method for multidimensional integrals
p. 145-150
On a variational problem of the theory of approximation
p. 151-154
The remainder term in Adams' integration formula
p. 154-157
On the approximate calculation of roots of the equation $z^m=A+Bz^k$
p. 157-161
The method of successive substitutions in the case of a self-conjugate system of the second order
p. 161-165
On characteristic and adjoint elements of linear operators
p. 165-169
The principle of the maximum for the transfer equation
p. 169-174
Calculations for matching of plane waveguides
p. 175-179
On a class of functions and their applications
p. 179-185
An algorithm for the solution of a system of logical equations
p. 186-189
Bibliography
p. 190-191

Sommaire du Fascicule no. 2

Iteration methods for solving a linear boundary problem
p. 195-205
Numerical integration of differential equations of the structure of shockwaves in plasma
p. 206-216
Temperature distribution in an infinite cylinder and in a sphere in a state of non-monochromatic radiation equilibrium
p. 217-240
Diffraction of short plane waves on a parabolic cylinder
p. 241-254
Investigation of flow round blunt bodies of revolution at supersonic velocities
p. 255-277
Numerical solution of the problem of flow round the upper surface of a triangular wing by a supersonic stream
p. 278-289
Calculation of supersonic flow in the neighbourhood of an annular sound line
p. 290-302
Realization of recursive procedures in the language of AlGOL-60
p. 303-316
The theory of instruction for a class of discrete perceptrons
p. 317-335
On a modified Mellin transform
p. 336-340
The method of minimum iterations with minimum errors for a system of linear algebraic equations with a symmetrical matrix
p. 341-342
On a case of retardation depending on a required function
p. 343-348
On the effect of anisotropy of the flux on the temperature of a neutron gas
p. 349-351
Regular transverse interaction of plane shock waves
p. 351-358
The algorithmic solution of a distribution problem
p. 358-366
Integration of potential-pulse forms
p. 366-371
A method for the linear recording of graphs
p. 371-372
The formation of nomograms for equations with many variables
p. 372-379
M. Schuler, Kh. Gebeleyn. Tables of elliptic functions. Book Review
p. 380-381
Bibliography

Sommaire du Fascicule no. 3

Ill-conditioned systems of linear algebraic equations
p. 387-397
The determination of eigenvalues and eigenfunctions of a linear integral
p. 398-410
On an algorithm for the solution of Cauchy's problem for partial differential equations of the first order
p. 411-417
The solution of boundary problems for partial differential equations of
p. 418-436
On the rational choice of coordinate functions in Ritz's method
p. 437-444
On the economical distribution of a store
p. 445-458
Self-organizing systems and the abstract theory of automata
p. 459-466
Automatic expansion of representations of free semigroups
p. 467-474
Problems of obtaining random quantities with counters
p. 475-481
On a relaxation method of solving systems of linear inequalities
p. 482-487
On a numerical method of solving problems of optimum control
p. 488-491
Calculation of the capture of particles in a betatron with the aid of an electronic computer
p. 491-494
On the problem of motion of a tangential discontinuity in an ideal incompressible liquid
p. 494-499
Combination of the Monte Carlo method with the method of quickest descent in the solution of some extremal problems
p. 499-502
Representability of an equation with four variables by a nomogram with
p. 502-504
Common problems faced by data center
p. 505-508
G. Е. Forsythe, W. R. Wasоw. Finite-difference methods for partial differential equations. Book Review
p. 508-509
Z. Кораl. Numerical analysis. Book Review
p. 509-510
Bibliography
p. 510-511
Letter to the editor
Letter to the editor

Sommaire du Fascicule no. 4

Polar difference methods of solving Cauchy's problem for a system of ordinary differential equations
p. 515-528
The convergence of the orthogonal power method
p. 529-536
Asymptotic expansions of the error in the difference method of solving
p. 537-548
Difference schemes with a 'disintegrating' operator for multidimensional
p. 549-568
On optimal methods of specifying information during the solution of differential equations
p. 569-592
The problem of error estimation of the network method for polyharmonic
p. 593-602
On the convergence and accuracy of homogeneous difference schemes for
p. 603-634
On the distribution of thermal neutrons in a medium with a plane source
p. 635-651
The propagation of rayleigh waves over the surface of a non-homogeneous elastic body with an arbitrary form
p. 652-665
Calculation of the laminary boundary layer in an incompressible liquid
p. 666-683
The correlation method for image recognition
p. 684-694
On some classes of finite automata
p. 695-702
On the acceleration of the convergence of iterative processes of the
p. 703-705
The lower bound of the least negative eigenvalue $-\lambda^2$ of the equation $\Delta u+[f(r)-\lambda^2]u=0$
p. 705-706
On difference schemes of the second order of accuracy for
p. 706-708
An approximate solution of a boundary problem for the diffusion
p. 708-713
On the calculation of definite integrals dependent on a parameter by the
p. 714-717
The use of ω2-distribution for error estimation in the calculation of integrals by the Monte Carlo method
p. 717-723
An efficient construction of the transitive closure of a binary
p. 723-725
HansSchwerdtfeger, Geometry of complex numbers. Book Review
Adolf Kratzer, Walter Franz. Transzendente funktionen. Book Review
J. С  Burkill. The theory of ordinary differential equations. Book Review

Sommaire du Fascicule no. 5

A numerical method of integral relations
p. 731-759
On certain iteration processes for the symmetrisation of a matrix
p. 760-767
Asymptotic solutions of differential-difference equations in the case of a small deviation in the argument
p. 768-786
On an economical difference method for the solution of a
p. 787-811
Homogeneous difference schemes on non-uniform nets
p. 812-832
On the existence of a solution of Verigin's problem
p. 833-858
On streams of charged particles in an electromagnetic field
p. 859-867
Calculation of the laminar boundary layer in a compressible gas in the
p. 868-883
The numerical calculation of the laminar boundary layer in a compressible gas
p. 884-901
The study of an algorithm for the recognition of typewritten
p. 902-911
Remarks on the foundations of certain iteration processes
p. 912-915
On the stabilisation of the solutions of optimal problems
p. 915-921
On a practical method for the automatic selection of scaling factors in
p. 921-924
On a method for the numerical solution of Cauchy's problem for divergent
p. 925-930
On the optimality of implicit difference schemes of Adams type
p. 930-933
On the convergence of the splitting method for the heat conductivity
p. 933-937
Solution of a problem on non-stationary filtration by the method
p. 938-942
The calculation of energy networks on electronic computers
p. 942-947
Some problems of applying computers for choosing the most
p. 948-950
The efficiency of the trial potential method for solving the schrodinger equations
p. 950-951
Remarks concerning ALGOL-60
p. 952-953
The coordination of scientific research in cybernetics in the Ukraine
p. 953-955
W. W. Rogosinski. Volume and integral. Book Review
p. 955-956
G. Sansonе, J. Gеггеtsеп. Lectures on the theory of functions of a complex
p. 956-957
К. S .Мillег, J. В. Wаlsсh. Elementary and advanced trigonometry. N. Y. Harper
p. 957-958
J. A. Greenwood, Н. О. Нагtlеу. Guide to tables in mathematical statistics. Book Review
М. Rotenberg, R. Bivins, N. Metropolis, J. К. Wooten. London, Crosby Lockwood and Son Ltd. Book Review
p. 959-960

Sommaire du Fascicule no. 6

On a method for the acceleration of the convergence of iteration processes
p. 963-971
A method of orthogonal successive substitution for the solution of systems of difference equations
p. 972-982
On the stability of linear difference equations
p. 983-996
The operational calculus of Bessel operators
p. 997-1018
The construction of discontinuous solutions of systems of quasi-linear equations. Part 1
p. 1019-1043
The uniqueness of the solution of the inverse problem in the asymptotic theory of radiation transfer
p. 1044-1053
On a conjugate problem for a sectorial domain
p. 1054-1061
Symmetric flow about blunt bodies in a supersonic stream of a perfect and real gas
p. 1062-1085
The numerical solution of the problem of the flow about the lower surface of a triangular wing in a supersonic stream
p. 1086-1101
On the question of self-instruction in the perceptron
p. 1102-1110
On an algorithm which reduces the secular determinant of an arbitrary
p. 1111-1114
The asymptote to the numerical solution of Cauchy's problem for one quasi-linear equation of the first order
p. 1114-1117
On the convergence of the fractional step method for heat conductivity equations
p. 1117-1121
The application of difference schemes of high accuracy to the numerical solution of hyperbolic equations
p. 1122-1128
On the small parameter (“vanishing viscosity”) method for a system of equations in gas dynamics
p. 1128-1131
On a method of successive approximations for the solution of problems of optimal control
p. 1132-1139
A method of successive search for the approximate solution of certain problems of optimal planning
p. 1139-1144
J. L. Walsh. A. rigorous treatment of maximum-minimum problems in the
С. W. Leiningeri Differential equations. New York, Harper and Brothers. Book Review
p. 1145-1146
J. С. Н. Gerretsen. Lectures on tensor calculus and differential geometry
p. 1146-1147