Geodesic

Sommaire du Fascicule no. 1

Some types of calculation connected with averaging in the theory of non-linear vibrations
p. 3-53
On a modificaition of N. I. Lobachevskii's method for calculating the moduli of the roots of an algebraic equation
p. 54-70
On certain applications of the operational calculus to problems of analysis
p. 71-78
The construction of discontinuous solutions of systems of quasi-linear equations. II
p. 79-98
On homogeneous difference schemes of high order of accuracy on non-uniform nets
p. 99-108
The removal of singularities in the solution of boundary problems for the Laplace equation in a region with a smooth boundary
p. 109-119
Approximate methods of solving ill-posed problems
p. 120-130
On resonance in an essentially non-linear system
p. 131-144
The asymptotic behavior of rapid rotations
p. 145-148
The solution of the homogeneous plane problem of the motion of a piston in an ideal heat-conducting gas
p. 159-169
On the proof of a method of calculation for irregular waveguides
p. 170-179
Notes on a work of Greenstadt and of Lotkin
p. 180-181
Tables for the computation of multiple integrals using the method of optimal coefficients
p. 181-186
Interpolation with respect to random points
p. 186-190
On the expansion of a polynomial of the operator $B_\alpha$
p. 191-194
On asymptotic estimates of the error in the Runge-Kutta type method
p. 195-197
On multi-parametric families of net equations for the numerical
p. 198-201
On a difference method for the calculation of shock waves
p. 201-204
Е. Durand. Solutions numeriques des equations algebriques. Book Review
p. 205-206
N. I. Muskhelishvili. Singular integral equations. boundary
p. 206-207
N. Сuгlе. The laminar boundary layer equations (OxfordMathematical Monographs). Oxford, Clarendon Press. Book Review
p. 207-208
Errata

Sommaire du Fascicule no. 2

Canonical forms of systems of ordinary linear difference equations with constant coefficients
p. 211-222
On the theory of the operational calculus for the Bessel equation
p. 223-238
On the approximate solution of Cauchy's problem for ordinary differential equations to a given number of correct figures
p. 239-253
On a two-sided approximation for the numerical integration of ordinary differential equations
p. 254-265
Homogeneous difference schemes on non-uniform nets for equations of parabolic type
p. 266-298
Hyperbolic systems of linear equations with discontinuous coefficients
p. 299-313
A substantiation of a method for computing the propagation of electromagnetic oscillations in irregular waveguides
p. 314-326
Critical conditions for a reactor when their connection between the temperature and the neutron flux is non-linear
p. 327-336
The organization of a cyclical computing process using a parametric representation of special form
p. 337-357
The stabilization of poorly conditioned systems of linear algebraic equations using Jacobi' s method
p. 358-361
An iteration method for the solution of a stability problem
p. 361-364
An analysis of the stability in $C$ of explicit difference schemes with constant real coefficients, stable in $l_2$
p. 365-370
A lower estimate for the error of quadrature formulae for certain classes of functions
p. 370-376
On the application of the method of successive substitution to the determination of periodic solutions of differential and difference equations
p. 377-381
On the stability of 'oblique' difference schemes
p. 381-385
On the application of disintegrating difference operators
p. 385-388
A horizontal magnetic dipole between two discs
p. 388-396
Flow about a triangular wing for large values of M
p. 397-400
Finding the extremum of a function on a function on a polyhedron
p. 400-409
Einfuhrung in die numerische Mathematik. Book Review
Methods of Mathematical Physics, Vol. 2. Partial Differential Equations. Book Review
p. 411-412
Charles Babbage and his calculating engines. Book Review
p. 412-413
Funzioni di variabile reale, Rome, 1960. Vol. 2. Calcolo delle variazioni: frTonelli, L. Opere scelte. A cure dell'Unione matematica italiana e col contributo del consiglio nazionale delle ricerche. Book Review
p. 413-414
Discrete variable methods in ordinary differential equations. Book Review
p. 414-415
Letter to the editor
Letter to the editor
Letter to the editor

Sommaire du Fascicule no. 3

On the calculation of the integral $p(x,y)=2\int_0^{\infty}ue^{-(u^{2}+y^{2})}I_{0}(2uy)\,du$
p. 419-430
Local one dimensional difference schemes on non-uniform nets
p. 431-466
The first boundary-value problem for certain quasilinear systems in the mathematical theory of diffusion
p. 467-477
Calculation of waveguide transition of composite form
p. 478-488
On a system of equations in boundary layer theory
p. 489-507
Characteristics of the general equations of gas dynamics
p. 508-527
Resonance phenomena in the motion of a satellite relative to its mass centre
p. 528-538
On the transformation of an operator scheme
p. 539-546
A parametric problem in linear programming
p. 547-558
Triangular orthogonal methods for the solution of the complete eigenvalue problem
p. 559-560
The reduction of multicentre integrals to one centre
p. 560-564
On the expansion of a function in series and continued fractions
p. 565-568
On the number of operations performed in the solution of Cauchy's problem for one hyperbolic equation
p. 568-574
The method of potentials and the numerical solution of Dirichlet' s problem for the Laplace equation
p. 574-580
Flow about a plane disc lying at a zero angle of attack in a stream of highly rarefied gas
p. 581-583
A method for the algorithmic description of the cyclical structure of a graph
p. 583-586
Simulation of certain classes of random processes
p. 586-593
On the minimum work done in separation with rectification for a binary mixture in a real column
p. 594-598
A problem of piece-wise linear programming
p. 599-605
G. Shimura, Y. Тaniуama. Complex multiplication of Abelian varieties and
P. G. Ноеl. Introduction to mathematical statistics. Book Review
p. 607-608
W. Т. Fishbасk. Projective and Euclidean geometry. Book Review

Sommaire du Fascicule no. 4

Asymptotic methods in the theory of ordinary differential equations containing small parameters in front of the higher derivatives
p. 611-642
Gradient methods for minimizing functionals
p. 643-653
On the rate of convergence of Ritz's approximate method
p. 654-663
Approximate methods for the solution of systems of singular integral equations
p. 664-682
A method for the approximate solution of one of the forms of systems fo linear singular integral equations
p. 683-701
Examples of numerical calculation of temperature waves
p. 702-719
On methods for the solution of second order elliptic equations which economise on the machine store
p. 720-729
A new form of the equations of motion of a satellite and its application to the study of near-keplerian motion
p. 730-741
A method for the numerical solution of the problem of the flow about conical bodies in a supersonic stream of gas
p. 742-754
The general principles of the synthesis of combinatorial circuits
p. 755-765
On the solution of a kinetic equation by the Monte Carlo method
p. 766-769
Approximation with the aid of elementary functions
p. 769-770
On a non-linear boundary value problem in the theory of analytic functions arising in quantum field theory
p. 771-776
On the solution of systems of linear equations with definite matrix structures using electronic computers
p. 777-780
A contribution to the problem of solving the poisson equation with axial symmetry by the method of nets
p. 780-785
A contribution to the difference solution of the heat conduction equation in curvilinear coordinates
p. 786-788
On the optimal shape of bodies in a supersonic gas flow
p. 788-793
R. М. Wingeг. An introduction to projective geometry. Book Review
p. 794-795
R. Klotzler. Die Konstruktion Geodatischer Felder im Grossen in der Variaiionsrechnung
Book Review
p. 795-796
Bibliography
p. 797-800

Sommaire du Fascicule no. 5

Some comments concerning the conditionally of systems of linear algebraic equations
p. 803-811
Schemes of high-order accuracy for the multi-dimensional heat conduction equation
p. 812-840
Homogeneous difference schemes for a fourth order equation with discontinuous coefficients
p. 841-860
On finite difference methods for the solution of Stefan's single-phase problem
p. 861-873
A difference method for the solution of the two-phase Stefan problem
p. 874-886
Some problems in the theory of optimal control
p. 887-904
On the stability of a non-homogeneous magneto-active plasma
p. 905-914
The structure of the shock front for an incoming cylindrical shock wave in a plasma
p. 915-926
Representation of the kinetic equation in spherical harmonics (curvilinear coordinates — axisymmetric case)
p. 927-941
The determination of the distribution function of the length of maximum carry
p. 942-949
On a modification of Chebyshev's method
p. 950-953
A justification of methods used to study the propagation of electromagnetic oscillations in waveguides with anisotropic flooding
p. 953-955
A high-frequency asymptote of the non-stationary diffraction problem in the illuminated region
p. 955-957
An approximate method for the calculation of characteristic oscillations of a liquid in vessels of arbitrary shape and the Zhukovskii potentials for these vessels
p. 958-964
Calculation of supersonic equilibrium gas flows
p. 964-970
N. Macon. Numerical analysis. Book Review
p. 971-972
Н. Sagап. Boundary and eigenvalue problems in mathematical physics. Book Review
p. 972-975
К. W. Anderson, D. W. Наll. Sets, sequences, and mappings. The basic
p. 975-976
Errata

Sommaire du Fascicule no. 6

Conditionality in the problem of the minimum of a quadratic functional
p. 979-987
On the calculation of the eigenvalues of a higher-dimensional symmetric kernel by means of number-theoretic grids
p. 988-997
A difference method for the solution of boundary value problems for a hyperbolic integrodifferential equation with discontinuous coefficients
p. 998-1005
A difference scheme of higher accuracy for an equation of elliptic type in several space variables
p. 1006-1013
The Sturm-Liouville difference problem for a fourth order equation with discontinuous coefficients
p. 1014-1031
Non-stationary flows of an ideal incompressible fluid
p. 1032-1066
On the uniformly accelerated motion of a plane disc in a viscous compressible gas
p. 1067-1076
Systems of equations in the algebra of events
p. 1077-1088
A transportation problem with a continuous distribution of customers
p. 1089-1102
An iteration method for the solution of the transport problem with an additional linear restriction and an estimate of the number of iterations
p. 1103-1111
On the calculation of the eigenvectors of matrices by the double integral method
p. 1112-1113
A method of solving “degenerate” and “almost degenerate” linear algebraic equations
p. 1113-1114
On a modification of Newton's methods for the numerical solution of boundary problems
p. 1114-1116
On S. A. Chaplygin's method for the boundary value problem for a system of ordinary differential equations
p. 1117-1121
On the stability of the numerical integration of systems of ordinary differential equations arising in the use of the straight line method
p. 1122-1125
A variational problem concerning the take-off of a space craft from a circular orbit
p. 1126-1130
On calculating the flow in a plane Laval nozzle
p. 1130-1134
A master routine which compiles a program
p. 1134-1137
A method of solving the travelling salesman problem with the help of integer programming
p. 1137-1139
Book Review
p. 1140-1141
A. Flеtсhег, J. С. P. Мillег, L. Rosenhead, L. J. Comriе. An index of mathematical tables. Book Review
p. 1141-1142
W. Rudin. Fourier analysis on groups. Book Review
p. 1142-1143
Bibliography
p. 1144-1147