Geodesic

Sommaire du Fascicule no. 1

On the approximate solution of equations with normally solvable operators
p. 3-11
The construction of iterative methods based on the use of spectrally equivalent operators
p. 12-34
On the convergence of the collocation method for nonlinear differential equations
p. 35-42
The expansion of solutions of dirichlet's problem and a mixed problem for a biharmonic equation in a series of solutions of reducing problems
p. 43-51
Perturbation theory of non-conjugate operators
p. 52-60
On asymptotic formulae for Legendre functions
p. 61-70
Calculations of parameters of critical systems by the Monte-Carlo method
p. 71-80
Incorrectly posed problems of optimal programming
p. 81-89
Investigation of the Green's function in the problem of diffraction by a transparent circular cylinder. II
p. 90-105
Solution of a non-linear problem of two-phase flow in a porous medium
p. 106-112
Numerical computation of the supersonic flow of a viscous gas round a blunt body
p. 113-120
Hypersonic streamline flow past a sphere in equilibrium with dissociable air
p. 121-129
Automatic control of the accuracy of translating algorithms into the language of ALGOL-60
p. 130-143
Algorithm for determining the extremum of a certain function on a polyhedron
p. 144-157
Inversion of the matrices encountered in relay-switching circuit synthesis theory
p. 158-161
Finding the solutions of constant sign of ordinary differential equations
p. 162-163
On the numerical solution of boundary value problems for a multizone region bounded by eccentric circles
p. 163-169
Regularization of incorrectly posed problems and the choice of regularization parameter
p. 170-175
A method of solving certain quasilinear equations of applied mathematics
p. 175-178
On an equation in which the derivative terms contain two small parameters
p. 178-183
On non-homogeneous difference schemes
p. 184-185
Introductory numerical analysis of elliptic boundary value problems: Greenspan, D. New York–Evanston–London, Harper and Row Publs., 1965, IX+164 pp
p. 186-187
Mathematical theory of reliability: Barlow, R.E., Proschan, F. and Hunter, L.C. London, John Wiley and Sons., Ltd. VII+255 pp
p. 188-189
Numerical methods in gas dynamics
p. 189-191
Discrete time systems. An introduction to the theory: Freeman, H. London, John Wiley and Sons., xiii+239 pp., 1965
p. 191-192

Sommaire du Fascicule no. 2

On Young matrices
p. 195-202
Solution of the problems of optimal control by the method of local variations
p. 203-217
On the solution of optimum problems in non-linear automatic control systems
p. 218-228
Evaluations of the closeness of solutions of the Cauchy problem for non-linear differential equations
p. 229-237
On uniform convergence of certain difference schemes
p. 238-250
The method of characteristics for the solution of the kinetic equation
p. 251-275
On the variation of the quantity of gas flowing through a Laval nozzle over its calculated operating range
p. 276-287
On non-stationary free convection in a bounded region
p. 288-303
Calculation of the boundary layer arising in flow about a cone under an angle of attack
p. 304-312
The method of characteristics for the numerical calculation of the space
p. 313-325
Evaluation of a generalized inverse matrix and projector
p. 326-332
On fixed pairs of points of an iterational process for determining eigenvalues
p. 332-335
On a method of solving systems of non-linear inequalities
p. 335-336
Algorithms for finding the general solution of a system of linear inequalities
p. 336-342
An exponential method for solving a system of convex inequalities
p. 342-347
On a certain method for solving nonlinear systems of a special type
p. 347-352
On simultaneous evaluation of several polynomials of low degree (two to five)
p. 352-356
On the rate of convergence of a stationary gradient relaxation
p. 356-360
Recurrence formulae simplifying the construction of approximating power polynomials
p. 360-363
Asymptotic expressions for cylindrical functions of two imaginary variables with a large integral index
p. 363-368
On a system of linear hyperbolic equations defined on a complex
p. 368-374
On solution of the dispersion equation for the linearized Boltzmann equation in the kinetic theory of rarefied gases
p. 375-380
On calculations of perturbations of nuclear reactors by Monte-Carlo method
p. 380-384
Simulation of the random energy of a gamma quantum scattered as a result of the Compton effect
p. 384-385
Continuously operating computer search for the initial conditions for the associated system of a time-optimal problem
p. 386-389
Some combinatorial properties of dyadic trees
p. 389-394
Approximate formulae for calculating trees
p. 394-397
On the representation of the initial data for the automation of device operation planning
p. 397-403
Elements of numerical analysis: Henrici, P. London, John Wiley Sons, Inc., XV+328 pp.
Differentialoperatoren der mathematischen Physik: Hellwig, G. Eine Einführung, Berlin–Göttingen–Heidelberg, Springer, XII pp. 253
p. 404-405
Invariant imbedding and time-dependent transport processes: Bellman, R.E., Kagiwada, H.H., Kalaba, R.E. and Prestrud, M.C. XII+pp. 258
p. 405-407
Statistics and experimental design in engineering and the physical sciences: Johnson, N.L., Leone, F.C. Vol. I, XIV+523 pp.

Sommaire du Fascicule no. 3

Summation of series containing characteristic coefficients
p. 411-432
On a class of methods for the iterational solution of time-optimal problems
p. 433-445
On finding the solutions for a given condition at infinity of certain systems of ordinary differential equations. II
p. 446-453
Monotonic stability of a motion which is neutral in the linear approximation
p. 454-465
On some systems of quasilinear parabolic equations of the divergence type
p. 466-476
Stability in $C$ of linear difference schemes with constant real coefficients
p. 477-486
The solution of the third boundary value problem for the two-dimensional heat conduction equation in an arbitrary region by a locally one-dimensional method
p. 487-502
The network method for the external Dirichlet problem
p. 503-511
On the construction of difference schemes for a second order elliptic differential equation
p. 512-520
On the asymptotics with small $\varepsilon$ of the solution of the equation $u_t+(\varphi(u))_x=\varepsilon u_{xx}$, corresponding to a rarefaction wave
p. 521-526
Problem of the decay of a discontinuity for a system of quasilinear equations without convexity conditions
p. 527-547
Special coding methods for increasing magnetic storage capacity
p. 548-554
On a method for the triangular factorization of an inverse matrix
p. 555-556
Quadratic convergence of the Jacobi method in the case of multiple eigenvalues
p. 556-559
Auxiliary polynomials for the direct determination of the Chebyshev interpolation polynomial
p. 560-570
On numerical differentiation
p. 570-576
Asymptotic expansions of certain integrals with sinusoidal kernels
p. 576-578
On a special problem in optimal control
p. 578-581
On the accuracy of varying direction schemes for the heat conduction equation
p. 582-589
Neutron waves from an infinite plane source of variable strength in a subcritical system
p. 589-594
On necessary conditions for the existence of particle-like solutions of a non-linear differential equation
p. 595-596
On a solution of the travelling salesman problem
p. 597-599
The solution of an integer quadratic programming problem
p. 600-601
The algebraic eigenvalue problem: J. H. Wilkinson Oxford, 662 pp., 1965
The theory of incomplete cylindrical functions and their applications. Teoriya nepolnykh tsilindricheskikh funktsii i ikh prilozheniya: M. M. Agrest and M. Z. Maksimov, Atomizdat, Moscow, 1965
p. 603-604
Non-linear differential equations: G. Sansone and R. Conti, (Translated from the Italian), Pergamon Press. Oxford, 536 pp., 1964
p. 604-605
Contributions to differential equations: J. P. La Salle (Ed.), 437 pp., London, 1965
p. 605-607
Новые журналы

Sommaire du Fascicule no. 4

On a method of solving the complete eigenvalue problem for a degenerate matrix
p. 611-620
Proof of the minimality of the number of nodes in the cubature formula for a hypersphere
p. 621-630
On the stability of the functional optimization problem
p. 631-634
A numerical method for solving optimal control problems
p. 635-647
On the stability of difference sciiemes for the Cauchy problem
p. 648-664
Some problems of difference scheme theory
p. 665-686
A finite difference method for evaluating the eigenvalues and eigenfunctions of the Laplace operator
p. 687-698
Asymptotic of the source function for the transport equation
p. 699-705
Analysis of a circular waveguide with variable anisotropic filling
p. 706-713
Hypersonic gas flow round a blunt body, allowing for radiation
p. 714-726
The structure of constructions in formal languages
p. 727-732
On guaranteed estimations of the reliability of a system with incomplete information about the reliability of the elements
p. 733-747
Algorithms for planning parallel operation of installations of a computing system
p. 748-757
On an order of elimination of unknowns
p. 758-760
On formulae for numerical differentiation
p. 760-762
On certain quadrature formulae
p. 762-766
On the regularization of solutions of integral equations of the first kind
p. 766-769
On the solution of the radiation transfer equation for a plane layer with anisotropic dispersion
p. 769-773
The existence of a smooth solution to the problem of the non-linear vibrations of a thin plate
p. 773-776
Integer marks in ALGOL
A letter to the editors
p. 777-778
Die mathematik für physik und chemie: H. Margenau and G. Murphy. Bd. 1 p. 724, Teubner, Leipzig, 1964
p. 778-779
Variationsrechnung: M. Miller. 133 pp., Teubner, Leipzig, 1959
Linear statistical inference and its applications: R. Rao. XVIII+522 pp., Wiley and Sons Ltd., London and New York, 1965
Order-disorder phenomena: H. S. Green and C. A. Hurst. X+363 pp., London–New York–Sydney. Interscience Pubs., Wiley Sons Ltd., 1964
p. 780-782
Programmgesteuerte rechenautomaten: H. Gotzke, 207 pp., Leipzig, Vib. Fachbuchverlag, 1965
Praktika programmirovaniya: R. S. Guter, V. L. Arlazarov and A. V. Uskov, Reference book. 212 pp., Nauka, Moscow, 1965
p. 782-784

Sommaire du Fascicule no. 5

Errata
Constrained minimization methods
p. 787-823
A relaxation factor for systems with Young matrices
p. 824-830
Approximate solution of linear operator equations in Hilbert space by the method of least squares. I
p. 831-841
On the stability of certain systems under resonance conditions
p. 842-860
On the convergence of a relaxation method with natural constraints on the elliptic operator
p. 861-883
The method of finite differences for a first-order non-linear equation with many independent variables
p. 884-894
On finding solutions of kinetic problems
p. 895-912
Conditions for the convergence of iterative processes on the real axis
p. 913-916
Abstract scheme of the difference method
p. 916-921
On the question of stability of the trivial solutions of parabolic system of partial differential equations
p. 921-927
The asymptotics of eigenvalues for schemes of a high order of accuracy in the class of piecewise continuous coefficients
p. 927-930
The supersonic flow round blunt bodies of revolution with a break in the generator
p. 930-934
The numerical solution of an integral equation of a plane self-modelling problem on the motion of a liquid with a free surface
p. 934-941
Tabellen der Lomme lschen funktionen $U_1(w,z)$ und $U_2(w,z)$ zweiter veränderlicher sowie abgeleiteter funktionen: G. Hebermenl (G. Minkwitz), G. Schulz, Berlin, Akad. Verlag, 1965
p. 942-943
Partial differential equations: P. R. Garabedian, New York–London, John Willey and Sons, 1964, XII+672 pp.
p. 943-944
Объявление

Sommaire du Fascicule no. 6

The solution of variational and boundary value problems by the method of local variations
p. 947-961
On the problem of minimization of a convex functional on the set of finite states of a linear control system
p. 962-970
The method of successive projections for approximate solution of a problem in optimal control
p. 971-980
Boundary value problem for a hyperbolic equation with discontinuous boundary conditions
p. 981-990
Boundary value problem for the model equation of the hyperbolic-parabolic type
p. 991-1001
On the solution on compact sets of some restoration problems
p. 1002-1018
On a difference approximation scheme for the numerical solution of parabolic type equations
p. 1019-1028
Convergence of difference schemes in case of improved approximation of the boundary
p. 1029-1042
Weak free convection in containers in a gravitational field
p. 1043-1053
Hydrodynamics in weak force fields. Small vibrations of a viscous fluid in a potential field of mass forces
p. 1054-1063
Algorithms for numerical schemes of the method of integral relations for calculating mixed gas flows
p. 1064-1081
Calculation of the gamma function
p. 1082-1084
An integral occurring in the theory of quadrature formulae
p. 1084-1089
The approximate solution of operator equations of the first kind
p. 1089-1094
An iterational method for finding the minimum of a sum of squares
p. 1094-1097
Some general features of heat conduction
p. 1097-1103
Spectrum of the schrodinger operator with random potential
p. 1104-1108
Method of obtaining the asymptotic form in the problem of forced radiation from atoms moving in a strong electromagnetic field
p. 1108-1114
Resonance in nonlinear systems with one degree of freedom
p. 1115-1119
A class of selfsimulated motions of a relaxing gas
p. 1119-1127
Asymptotic integration of the equation of equilibrium for a fluid with surface tension in a gravitational field
p. 1127-1133
Construction of economic algorithms for simulating random variables
p. 1134-1136
Automation of an analytic method for solving ordinary differential equations
p. 1137-1141
Problems in calculus and analysis: A. A. Blank, John Wiley and Sons Ltd. London, XI+263 pp., 1966
p. 1142-1143
The statistical mechanics of simple liquids : S. A. Rice and P. Gray, “Interscience”, John Wiley and Sons Ltd., New York–London, XV+582 pp., 1966
p. 1143-1144
Special relativity: W. Rindler, Oliver and Boyd Ltd., Edinburgh–London XII + 196 pp., 1966
p. 1144-1146

Sommaire du Fascicule no. 14

Methods of obtaining estimates for the error of the numerical solution of the Dirichlet problem in terms of known quantites
p. 5-17
A method of construction of difference equations in the solution of the axially-symmetric Dirichlet problem for the Laplace and Poisson equations by the method of nets
p. 18-54
Применение метода сферических гармоник в задаче о распределении нейтронов, испускаемых точечным изотропным источником, помещенным в центре сферы
p. 55-59
Application of the Galerkin method for solving stability problems of inhomogeneous plasma
p. 60-67
Certain estimates of the eigenvalues for spherically symmetric problems
p. 68-74
Жесткая фокусировка гофрированным магнитным полем
p. 75-79
Точное решение одной задачи о распространении радиоимпульса в непроводящей среде
p. 80-86
Автомодельная задача о движении плоского поршня в теплопроводном газе при наличии вмороженного магнитного поля
p. 87-102
Движение газа перед поршнем в магнитном поле в случае нелинейной теплопроводности и проводимости
p. 103-112
Дифракция электромагнитных волн на плоских металлических двухэлементных решетках
p. 113-130
Об исследовании интерференционного волнового поля на поверхности упругого шара
p. 131-143
Short-wave asymptotic behavior of a solution of the Neumann problem in the case of the Helmholtz equation
p. 144-153
On the $KP$-method of improving the convergence of iterations in solving the kinetic equation
p. 154-176
Решение кинетического уравнения и уравнений квазидиффузии по согласованным разностным схемам
p. 177-185
Рассеяние нейтронов в плоском слое конечной толщины
p. 186-189
Численное интегрирование многомерного уравнения переноса
p. 190-193
Application of characteristics method to the calculation of external supersonic flows in case of existence of non-equilibrium processes
p. 194-199
Метод усреднений для численного решения одномерных задач газовой динамики
p. 200-206
К расчету равновесных течений газа
p. 207-213
Solution of the spatial axially-symmetric Dirichlet problem by the method of straight lines with higher accuracy of approximation
p. 214-218
Ламинарный пограничный слой с химическими реакциями
p. 219-229
О трехслойной схеме для численного интегрирования уравнений газодинамики и нелинейного уравнения теплопроводности
p. 230-236
A two-dimensional problem of nonlinear filtration
p. 237-241
Instability of parallel flows of a viscous incompressible fluid with respect to perturbations periodic in space
p. 242-249
Application of the minimum and the maximum–minimum principles to problems of fluid vibrations with a free surface in a stationary container
p. 250-257
Small vibrations of a rigid body with cavities which are filled with a viscous fluid
p. 258-266
Решение задачи о движении границы раздела двух жидкостей
p. 267-271