Geodesic

Sommaire du Fascicule no. 1

On the construction of cubature formulae for very simple domains
p. 3-14
The direct and inverse problem of the algebraic minimax
p. 15-22
Asymptotic properties of the solution of the characteristic equation in the theory of radiation transmission in strongly absorptive media
p. 23-34
A converse problem in the theory of a nuclear reactor
p. 35-51
A numerical method of calculating the optimum high speed control for linear systems
p. 52-60
The supersonic flow round blunt bodies of an unbalanced stream of gas
p. 61-77
A programming program
p. 78-95
An ALGOL-60 translator
p. 96-112
On constructing a prohibition-matrix for an operator scheme with library calls
p. 113-119
On an extremal problem
p. 120-135
Some sufficient conditions for convergence of the Seidel method
p. 136-138
Certain iteration processes
p. 139-143
Some iterative methods for finding the eigenvalues of self-conjugate operators
p. 143-145
The solutions of systems of non-linear equations by a method of differentiation with respect to a parameter
p. 146-149
Expansion of a polynomial from Bessel operators
p. 149-155
On a method of numerical solution of a boundary value problem for the equation $y''+p(x)y'+q(x)y=0$ on a semi-straight line
p. 156-160
An accurate high-order difference system for a heat conductivity equation with several space variables
p. 161-165
Critical reactor operation with non-linear relation between temperature and neutron flow approximating to a single-velocity transfer equation
p. 166-168
A method for accelerating calculation of rapid quasi-periodic motions using digital computers
p. 168-171
Calculation of flow over blunt bodies of revolution at an angle of incidence in supersonic gas flow
p. 171-177
Numerical calculation related to a plane laminar boundary layer in compressible gas on a blunt plate
p. 178-183
Gravitational and capillary waves on the surface of a frustum of a sphere of a viscous gravitational fluid
p. 183-189
A formation system in standard programs
p. 189-192
On the representation of normalized floating point numbers in digital computers
p. 192-194
Дополнение к “Сообщению об АЛГОЛе-60”
p. 195-199
Предложения по спорным вопросам АЛГОЛа-60 (Рим)
p. 199-204
Сообщения о совещании ГАМС
Е. D. Nегing. Linear algebra and matrix theory. Book Review
L. A. Pars. An introduction to the calculus of variations. Book Review
J . G. Heггiоt. Methods of mathematical analysis and computation. Book Review
L. Schwartz. Methodes mathematiques pour les sciences physiques. Book Review
p. 207-208
R. W. Меtzgег. Elementary mathematical programming. Book Review

Sommaire du Fascicule no. 2

The expansion of algebraic numbers into continued fractions
p. 211-221
Cylindrical functions of two variables
p. 222-231
Estimates of the error of a Runge-Kutta method and the choice of optimal
p. 232-241
Necessary and sufficient conditions for good definition of boundary value problems for systems of ordinary difference equations
p. 242-255
A double sweep method for the solution of difference boundary value problems
p. 256-266
Asymptotic forms of the eigenvalues of nonselfadjoint boundary value problems
p. 267-277
Difference schemes with a separable operator for general second order parabolic equations with variable coefficients
p. 278-291
A numerical method for solving certain optimal control problems
p. 292-305
Calculation of the flow about blunt bodies with a retracted shock wave in an equilibrium dissociating gas
p. 306-316
Three problems on the vibrations of a viscous fluid
p. 317-326
Second order simulation as applied to one machine
p. 327-337
A method of reorthogonalization of a system of vectors
p. 338-340
Approximate evaluation of eigenvectors
p. 340-343
On the rate of convergence of the Bubnov-Galerkin method
p. 343-348
On a theorem of Whipple
p. 348-351
The closure of computation processes and the method of successive substitution
p. 351-353
On a method for the solution of the diffraction problem (Two-dimensional case)
p. 354-358
The application of the perturbation method to linear equations with a distributed delay
p. 358-363
Asymptotic solution of the equation of motion of certain conservative systems with slowly varying parameters
p. 363-367
Optimization in stochastic models
p. 367-370
Conditions for the existence of a solution of a system of linear equations of transportation type with prohibitions
p. 370-376
On a method of choosing the new basic variable in the simplex method of linear programming
p. 376-379
On a method of distribution of random experiments in the solution of multi-extremal problems
p. 380-385
Н. Обрешков. Нули полиномов. Рецензия
p. 386-387
Е. Нillе. Analytic function theory. Book Review
p. 387-388
С. К. Годунов, В. С. Рябенький. Введение в теорию разностных схем. Рецензия
p. 388-390
Г. Н. Положий. Численное решение двумерных и трехмерных краевых задач математической физики и функции дискретного аргумента. Рецензия
G. Leitmann. Optimization techniques with applications to aerospace systems. Book Review
p. 391-392
В. V. Dеan, М. W. Sasiеni, S. К. Gupta . Mathematics for modern management. Book Review
J. Рiеhlег. Einfixhrung in die Lineare Optimierung. Book Review
Bibliography
p. 393-395

Sommaire du Fascicule no. 3

On the hypothesis of the independence of round-off errors in numerical integration
p. 399-404
Asymptotic evaluations of the error of projection methods for the eigenvalue problem
p. 405-425
On the approximate solution of Cauchy's problem for ordinary differential equations to a given number of correct figures. II
p. 426-433
On the application of a new reduction procedure for an eigenvalue problem involving partial differential equations
p. 434-448
Difference analogues of orthogonal decompositions, basic differential operators and some boundary problems of mathematical physics. I
p. 449-465
Application of the Lagrange interpolation polynomial for solving the Dirichlet problem for the Poisson equation by the method of nets
p. 466-472
The method of spherical harmonics in the problem of critical paramaters
p. 473-484
Methods of dynamic programming in the theory of optimum controls. I. Systems which permit the use of a control scale
p. 485-494
Numerical calculation of the turbulent mixing of two homogeneous gas flows
p. 495-511
Laminar boundary layer of sublimating surface
p. 512-524
Programming on the basis of command layers and the structure of digital computers
p. 525-535
Economic search organization and information recording under redundant memory
p. 536-543
Reduction of an arbitrary matrix to the tridiagonal form
Construction of iteration processes of high orders for systems of algebraic and transcendental equations
p. 545-546
Approximation of functions of several variables using the method of least squares
p. 547-550
Random quadratures of improved accuracy
p. 550-554
Upper bounds for approximations by quadrature formulae for certain classes of function
p. 554-559
The speed of convergence of one iterative process
p. 559-564
The approximate solution of Fredholm integral equations of the first kind
p. 564-571
The uniqueness of the solution of a hyperbolic system of linear equations with discontinuous coefficients
p. 571-576
Asymptotic formulae for the solutions of boundary value problems for a general elliptic equation of the second order with discontinuous coefficients
p. 577-580
An economical algorithm for the numerical solution of systems of differential and algebraic equations
p. 580-585
Approximate solution by the straight line method of a partial differential equation of the first elliptic type
p. 585-592
The numerical solution of Cauchy's problem for linear second order equations of the parabolic type
p. 592-596
Evaluation of a definite integral containing a Bessel function
p. 596-599
The critical state of a reactor with a nonlinear connection between the neutron flow and the temperature in the multi-group approximation
p. 599-604
Numerical computational method and solution of the problem of the separation of a plane gas layer in the case of gradual nonuniform energy transmission
p. 604-610
International symposium on applications of the theory of functions to the mechanics of a continuous medium
p. 611-613
Н. Е. Тауlог, L. Т. Wadе. University calculus. Book Review
p. 614-615
Numerical solution of ordinary and partial differential equation. Ed. L. Fox . Book Review
p. 615-617
Annual review in automatic programming. Vol. 3. Ed. R. Goodman. Book Review
p. 617-619
G. Zеlingег. Basic matrix algebra and transistor circuits. Book Review
p. 619-620
Colloquium uber Schaltkreis und Schaltwerk-Theorie. Book Review

Sommaire du Fascicule no. 4

On the numerical solution of boundary-value problems
p. 623-637
Local one-dimensional difference schemes for multi-dimensional hyperbolic equations in an arbitrary region
p. 638-648
Difference analogues of orthogonal decompositions, basic differential operators and some boundary problems of mathematical physics. II
p. 649-659
Heat potential theory. I. Straight line values of heat potentials and the inverse problem in heat potential theory
p. 660-670
The stationary phase method. Close saddle points in the multi-dimensional case
p. 671-682
The method of functional equations for the approximate solution of certain boundary value problems
p. 683-715
Representation of machines by semigroup theoretical formations (m-semigroups)
p. 716-731
A computing scheme for the Jacobi process
p. 732-733
Algorithm for finding a general formula for the non-negative solutions of a system of linear equations
p. 733-738
Iteration method for the solution of algebraic and transcendental equations
p. 738-744
Some comments on the stability of iteration processes
p. 745-748
Estimate of the moduli of the roots of polynomials
p. 748-749
Approximate solution of integral equations
p. 749-753
Economical difference schemes for parabolic equations with mixed derivatives
p. 753-759
Application of the splitting method to the numerical solution of dynamic problems in elasticity theory
p. 760-764
Difference boundary problem for a self-conjugate parabolic system
p. 765-771
A more accurate direct method for the solution of boundary problems for the Helmholtz equation on a net of points in a rectangle
p. 771-773
Nonuniqueness of the solutions of certain boundary problems for the equations of hydromechanics
p. 773-775
Approximate solution of some combinatory problems of linear programming by the dichotomy method
p. 776-780
A conjecture concerning a procedure code
A. Ostrowski. Vorlesungen uber Differential und Integralrechnung. Book Review
J. Todd. Introduction to the constructive theory of functions. Book Review
p. 782-784
I. P. Mysovskikh. Lectures on computing methods. Book Review
G. Вiгkhоff, G. C. Rоta. Ordinary differential equations. Book Review
p. 785-786
Н. Т. Davis . Introduction to nonlinear differential and integral equations. Book Review
p. 786-787
Е. В. Мсlеоd. Introduction to fluid dynamics. Book Review
p. 787-788
H. J. Вагtsсh. Mathematische formeln. Book Review

Sommaire du Fascicule no. 5

Some methods of speeding up the convergence of iteration methods
p. 791-803
Boundary value problem for ordinary second order differential equations
p. 804-816
Collapse of an arbitrary discontinuity for a system of two quasilinear first-order equations
p. 817-825
Explicit difference scheme for the solution of a mixed problem for a general second order hyperbolic equation
p. 826-834
A difference boundary-value problem for a general parabolic system
p. 835-847
Asymptotic expansions in wave mechanics
p. 848-870
Asymptotic properties of the dynamic variables in the theory of spinor and scalar meson fields
p. 871-879
Evaluation of the proper vibrations of a fluid in a fixed vessel by the variational method
p. 880-895
Influence of nonequilibrium dissociation on supersonic flow round a blunt body
p. 896-904
Use of barycentric coordinates to solve certain computational problems
p. 905-911
Inversion of matrices appearing in the application of the method of least squares
p. 911-915
Certain modifications of Newton's method for the approximate solution of algebraic equations
p. 915-920
New method for solving differential equations of the type $f_n(x)\frac d{dx}f_{n-1}(x)\frac d{dx}\dots f_1(x)\frac{dy}{dx}-y(x)=f(x)$
p. 920-926
Effective difference schemes for parabolic systems of equations
p. 927-930
Method of variable directions for the Cauchy-Riemann equation system
p. 930-934
Difference systems of second order accuracy with a divided operator for parabolic equations without mixed derivatives
p. 935-941
Iterative system for solving static problems in the theory of elasticity
p. 942-945
Solution of one type of diffusion equations
p. 946-950
Theory of three-dimensional laminar boundary layers
p. 950-954
Some exact solutions of the equations of transsonic gas flows
p. 954-958
Optimal multiplication algorithms using multiples of the miltiplicand
p. 958-963
On the efficient organization of the dynamic use of memory
p. 963-967
Comment on the article by S. I. Zukhovitskii “problem of piecewise-linear programming”
p. 968-969
Report on input-output procedures in the language of ALGOL-60
p. 970-973
Lectures on modern mathematics. Book Review
p. 973-974
P. Мaiпагdi, Н. Вагkап. Calculus and its applications. Book Review
N. W. Мсlасhlаn. Modern operational calculus with applications in technical
p. 974-976
О. Dziоbеk. Mathematical theories of planetary motions. Book Review
В. И. Пагурова. Таблицы неполной гамма-функции. Рецензия
p. 977-978
Е. Williamson , М. Н. Вгеthегtоn. Tables of the negative binomial
p. 979-980
Р. Н. Nidditсh. Russian reader in pure and applied mathematics. Book Review

Sommaire du Fascicule no. 6

Method for the approximate solution of a system of nonlinear equations
p. 983-994
Gradient methods for solving equations and inequalities
p. 995-1005
A boundary value problem in the theory of heat conduction with a nonclassical boundary condition
p. 1006-1024
Alternating direction iterational schemes for the numerical solution of the Dirichlet problem
p. 1025-1036
Membrane eigenvalue calculation by the finite difference method
p. 1037-1044
Approximate solution of some optimal control problems
p. 1045-1064
On the kinetic theory of the boundary layer between a rarefied plasma and a magnetic field
p. 1065-1077
A quasi-diffusion method of solving the kinetic equation
p. 1078-1087
A random iterational process
p. 1088-1093
Extension of steffensen's method for solving nonlinear operator equations
p. 1093-1097
An asymptotic formula for Bessel function
p. 1097-1102
Jumps of the derivatives with respect to the initial data on a surface of discontinuity of the right-hand side of a system
p. 1102-1106
Difference approximation of the boundary conditions for the third boundary value problem
p. 1106-1112
On the numerical solution of problems of optimal processes with distributed parameters
p. 1112-1117
A method for the approximate solution of limiting problems in mathematical physics
p. 1118-1121
Notes on the singular equation of the problem of radiant transfer in semi-space
p. 1122-1126
Certain exact solutions of the nonstationary kinetic equation without taking retardation into account
p. 1126-1131
The position of a command following after a command with a random time of fulfilment for optimal programming
p. 1131-1134
On the problem of optimization in stochastic models
p. 1134-1137
On a method of solving a network transportation problem
p. 1137-1142
J. B. Diaz. Contributions to differential equations. Book Review
p. 1143-1145
Р. Весkman, A. Sрizziсhinо. The scattering of eleciromagnetic waves from rough
p. 1145-1146
Y. R. Ashley. Introduction to analog computation. Book Review
p. 1146-1148
R. D. Lагssоn. Equalities and approximations with FORTRAN programming. Book Review

Sommaire du Fascicule no. 14

Optimal convergence bounds for quadrature processes and integration methods of Monte Carlo type for classes of functions
p. 5-63
Quadrature formulae for singular integrals
p. 64-74
On the approximate solution of higher-dimensional linear Volterra equations of second kind by an iteration method
p. 75-100
On probabilistic estimates for round-off errors in the numerical solution of differential equations
p. 101-109
On the determination by difference methods of regions of instability of the solutions of a system of linear differential equations
p. 110-122
On the numerical integration of a problem on the radius of influence of a hole
p. 123-128
Numerical solution of a linear differential equation with exponential coefficients and linear time lag
p. 129-134
On methods of Adams type for the approximate solution of the Cauchy problem for ordinary differential equations with time lag
p. 135-148
A modification of finite-difference methods for integrating ordinary differential equations with non-smooth solutions
p. 149-160
On the asymptotic behaviour of solutions of equations of neutral type with small time lag
p. 161-175
Asymptotic formulae in terms of a small time lag for the solution of an equation of neutral type with two retarded arguments
p. 176-182
Asymptotic behaviour of the solution of an integro-differential equation with a small parameter multiplying the derivative
p. 183-191
A higher-dimensional problem in the theory of quasilinear equations
p. 192-205
On the uniqueness of the solution of a hyperbolic system of linear equations with non-regular coefficients
p. 206-211
Uniform stability with respect to the initial data of a six-point symmetric scheme for the heat equation
p. 212-216
An error estimate for the numerical solution of the heat equation
p. 217-227
A study of the method of nets in solving the first boundary-value problem for equations of the type of non-stationary filtration (the two-dimensional case)
p. 228-243
Решение задачи о промерзании при учете фазовых переходов в спектре температур
p. 244-251
A mixed problem for a hyperbolic equation in a noncylindrical domain
p. 252-254
On the diffraction of the field of a horizontal magnetic dipole by two disks
p. 255-263
On the diffraction of electromagnetic waves by two parallel disks
p. 264-274
An investigation of the Green's function in a problem of diffraction by a transparent circular cylinder. I
p. 275-286
Diffraction of waves by a transparent sphere
p. 287-290
Scattering by a spheroid
p. 291-295
Non-linear boundary-value problems for a thermally radiating body
p. 296-303
Numerical calculation of two-dimensional flows in a boundary layer
p. 304-325
On a two-dimensional problem concerning waves on the surface of a viscous fluid of infinite depth
p. 326-344
Behaviour of a difference scheme for equations of shallow water
p. 345-352