Geodesic

Sommaire du Fascicule no. 1

Asymptotic expansions for spherical Legendre functions of imaginary argument
p. 3-12
The solution of differential equations by means of curvilinear difference nets
p. 28-46
An analog of multilinear functions for approximation in $W_2^2$
p. 47-63
The method of straight lines for the solution of a one-phase problem of the Stefan type
p. 64-78
Convergence rate estimates for some projection methods of solving elliptic equations
p. 79-96
Variational-difference schemes for second order linear elliptic equations in a two-dimensional region with a piecewise-smooth boundary
p. 97-114
An application of the method of upper relaxation to the solution of three-dimensional problems for second order equations
p. 115-124
A difference analogue of Mikusinski's theorem and its applications
p. 125-135
The convergence of finite-dimensional approximations (in the problem of the optimal heating of an inhomogeneous body of arbitrary shape)
p. 136-157
Variant of the stepped exponential method of finding some of the first characteristic values of a symmetric matrix
p. 158-165
The scaling of coefficients in some numerical methods for determining the zeros of functions
p. 165-169
The effects of the fluctuations of the terms of a positive sequence on its canonical principal representations
p. 169-173
The calculation of the Fermi–Dirac functions
p. 173-175
Evaluation of the integrals of oscillating functions by interpolation at nodes of gaussian quadratures
p. 175-181
The solution of some integral equations of the first kind by the method
p. 181-185
Discontinuous solutions of a higher-dimensional quasilinear equation (numerical experiments)
p. 186-190
Pontrjagin's maximum principle for processes with smoothly varying control regions
p. 190-195
The optimization of certain linear systems with distributed parameters
p. 195-202
Numerical solution of the problem of the optimal stabilization of an artificial satellite
p. 203-208
Lower bounds for the eigenvalues of the simplest nonlinear scalar field equation
p. 208-211
A scheme for simulating the trajectories of particles in systems with a complicated geometry
p. 211-216
Numerical realization of a variational principle of V. S. Vladimirov
p. 216-221
The formulation of Schrödinger's problem and an algorithm for its solution by the Monte-Carlo method
p. 222-229
Selection of an ensemble of smooth functions for the solution of the inverse problem
p. 230-238
Difference method of solving the propagation of a light ray in a non-linear medium
p. 238-242
A generalization of the transfer problem
p. 242-244
An empty word in a grammar of type 2
p. 244-245
An introduction to probability theory and its applications. Vol. II: W. Feller New York–London–Sydney, John Wiley and Sons, Inc., 1966, XIII+626 pp.
p. 246-247
Les integrales euleriennes et leurs applications approfondie de la fonction gamma: R. Campbell. Paris, Dunod, 1966, 268 pp.
p. 247-248
A manual for CAPSTAN computer analysis of projects. Rukovodstvo po analizu proektov s pomoshchyu programmy CAPSTAN: London, Oxford Univ. Press, 1967, 54 pp.

Sommaire du Fascicule no. 2

Errata
Methods of calculating stationary resonance vibrational and rotational motions of certain non-linear systems
p. 251-294
The error principle in the solution of operational equations by the regularization method
p. 295-309
The solution of certain convolution type integral equations of the first kind by the regularization method
p. 310-321
The stability of two-layer difference schemes
p. 322-333
Application of the method of straight lines to irregularly shaped regions
p. 334-343
The rate of convergence of projection methods for parabolic equations
p. 344-362
Methods for investigating irregular waveguides
p. 363-373
Some self-modelling motions of an ideal gas
p. 374-392
Some approaches to solving stationary Navier–Stokes equations
p. 393-402
An improved class of grammars served by a concept separation algorithm
p. 403-410
The numerical solution of the inverse problem of operational calculus in the real domain
p. 411-415
Study of the zeros of the transcendental function $g(z)I_{v}^{\prime} \,(z)+h(z)I_{v}\,(z)$
p. 415-417
Methods of successive approximation for linear equations in Banach spaces
p. 417-426
Some properties of regularizing algorithms
p. 426-429
The convergence of a variant of the method of dynamic programming for optimal control problems
p. 429-435
Economical symmetrization schemes for solving boundary value problems for a multi-dimensional equation of parabolic type
p. 436-443
On the investigation of the asymptotic properties of solutions of the wave equation at singular points of the potential
p. 443-447
Analyticity with respect to a parameter of the phase separation boundary in the problem of the crystallization of a melt on immersing a plate in it
p. 447-451
Acceleration of the convergence of the iterations in the solution of the kinetic equation
p. 452-458
The spectrum of the monoenergetic neutron transport operator in spherical geometry
p. 459-467
Estimation of functionals of the solution of the conjugate radiative transfer equation by the Monte Carlo method
p. 467-471
Some properties of transonic flows of a real gas
p. 472-479
The application of conformal mappings to the solution of some problems of the plane theory of elasticity
p. 479-491
Regular sets of circuits of a graph
p. 492-496
Scientific information: The IFIP, its structure and its aims
p. 497-500
Letter ot the editors
Applied combinatorial mathematics. Prikladnaya kombinarornaya matematika: E. F. Beckenbach, (Ed.) John Wiley, 1964, XXI+608 pp., E. F. Bekenbakh (Red.)
p. 501-503
Discrete and continuous methods in applied mathematics. Discretnye i nepretynye metody prikladnoi matematiki: J. C. Mathews and C. E. Langenhop. John Wiley, 1966, XIII+525 pp.
Stability criteria for linear dynamical systems: B. Porter. Oliver Boyd, 1967. Kriterii ystoichivosti dlya lineinykh dinamicheskikh sistem X+195 pp., B. Porter
p. 503-504
Programme, spiele, transportnetze: C. Berge, A. Ghouila-Houri. Leipzig. Programmy, igry, transportnye seti Teubner, 1967, 256 pp., K. Berzh, A. Dzhuil'-Khuri

Sommaire du Fascicule no. 3

Quadrature formulas on function classes
p. 507-516
On investigating the stability of difference methods
p. 517-533
A homogeneous implicit difference scheme for solving an equation of evolution with phase changes
p. 534-543
Scattering of a plane wave on a singular potential
p. 544-572
Dependence of the asymptotic properties of the solution of milne's problem on the scatter indicatrix
p. 573-589
Estimation of certain nonlinear functionals and approximate calculation of the group constants of transfer theory by a Monte Carlo method
p. 590-599
Asymptotic methods of investigation of the intersections of a Gaussian Markov process with a prescribed level
p. 600-615
Three-dimensional supersomic gas flow round a blunt body
p. 616-633
Calculation of the supersonic part of the disturbed region for supersonic nonequilibrium flow past a blunt body
p. 634-646
A certain descent algorithm
p. 647-652
Applications of a generalization of the Vandermonde determinant
p. 652-658
A method of accelerating the convergence of the iterative method of determining the leading eigenvalue of a selfadjoint operator
p. 658-660
The effect of regularization of order $p$
p. 661-663
A random iteration process in the method of alternating directions
p. 663-670
An iterational method of determining the polynomial of best approximation
p. 670-674
Estimate of the error in replacing the condition of boundedness of the solution of a linear differential equation on an infinite interval
p. 674-678
A flow variant of the sweep method
p. 679-684
A sweep for an infinite thermal conductivity
p. 684-686
The existence and uniqueness of a positive solution of a certain critical reactor equation
p. 686-690
The motion of an electron in electromagnetic fields of special form
p. 691-695
Numerical solution of the problem of pressure restoration and relief wave propagation in an elastic-plastic filtration process
p. 696-701
A paradox of the theory of shallow water
p. 701-707
The collapse of spherical cavities
p. 707-710
Economical algorithms for simulating random variables
Differential and integral calculus. Differentsial'noe i integral'noe ischislenie: F. Erwe. Oliver Boyd, 1967,
p. 711-712
Die Mathematik fur Physik und Chemi. Bd. II Matematika dlya fiziki i khimii. T. II: H. Hargenau and

Sommaire du Fascicule no. 4

An optimal algorithm for finding the roots of an approximately computed function
p. 705-724
Necessary conditions for a weak extremum in optimal control problems with mixed constraints of inequality type
p. 725-779
On the theory of optimal processes in discrete systems
p. 780-796
A one-parameter analogue of Adams' formulae
p. 797-807
Difference schemes for the solution of certain statistical problems in elasticity theory
p. 808-823
The expression of V. S. Vladimirov's functional through spherical harmonics in tensor form ($P_{3}$-approximation)
p. 824-841
Singularities of the solution of the transport equation
p. 842-852
The method of integral relations for supersonic three-dimensional currents
p. 853-864
Extremal properties of some matrix norms
p. 865-871
The application of the gradient relaxation method for the solution of systems of nonlinear equations
p. 872-873
Interpolation for special functions
p. 873-878
Random quadratures of Gaussian type
p. 879-884
Stationary motions in perturbed autonomous systems
p. 884-890
Variations of the solutions of quasilinear systems
p. 891-894
Stability in $C$ and $L_{p}$ of double layer difference schemes for parabolic equations with variable coefficients
p. 894-899
Necessary and sufficient conditions for the stability of triple layer difference schemes
p. 899-902
The convergence of a certain direct method
p. 902-908
Short wave asymptotics of the Green's function for the $N$-dimensional wave equation in an inhomogeneous medium
p. 908-913
The motion of a rigid body with cavities filled with an incompressible viscous fluid
p. 914-917
Approximation of thermodynamic functions of the air
p. 917-922
The minimization of graph schemes
p. 922-928
A certain “direct” method of simulation of random variables
p. 928-929
Scientific information letter to the editor
The remarkable sine functions: A. I. Markushevich.+100 pp. Elsevier, New York, 1966. Zamechatel'nye sinusy: A. I. Markushevich
Numerical methods and FORTRAN programming: D. D. McCracken and W. S. Dorn.+457 pp. John Wiley, New York, 1966. Chislennye metody i programmirovanie na FORTRANE: D. D. McCracken and W. S. Dorn
p. 930-931
The remarkable sine functions: A. I. Markushevich.+100 pp. Elsevier, New York, 1966. Zamechatel'nye sinusy: A. I. Markushevich
p. 931-932
Handbook of the poisson distribution: F. A. Haight. XI+168 pp. John Wiley, New York, 1967. Spravochnik po puassonovskomu raspredeleniyu: F. A. Haight
p. 932-933

Sommaire du Fascicule no. 5

Linear time-minimal problems
p. 937-949
The collocation method
p. 950-964
Series in nonorthogonal function systems
p. 965-987
Solving a nonlinear boundary value problem for a second order ordinary differential equation by the method of finite differences
p. 988-1000
The use of symmetry and other features of neutron paths for speeding up computations by the Monte Carlo method
p. 1001-1012
Determination of the photon distribution function in vacuo for the case of multiple reflections at a boundary
p. 1013-1024
A finite-difference method for the solution of one-dimensional non-stationary problems in magneto-hydrodynamics
p. 1025-1038
A method of calculating two-dimensional plasma flows in coaxial channels
p. 1039-1048
Supersonic three-dimensional gas flows with unstable processes
p. 1049-1062
A high-temperature boundary layer in air
p. 1063-1075
Optimal algorithms for addition and multiplication on machines with floating point
p. 1076-1084
A principle for optimizing calculations by the Monte-Carlo method
p. 1085-1093
The accuracy of solving systems of equations by direct methods
p. 1094-1096
Minimization of comutational algorithms in the solution of the elimination problems
p. 1096-1101
A class of integral representations and some estimates of Bessel functions
p. 1101-1105
The rate of convergence of the method of mechanical quadratures in an eigenvalue problem
p. 1105-1110
The least square and Bubnov–Galerkin methods
p. 1110-1116
Estimate of the rate of convergence of a certain version of the method of intermediate problems
p. 1117-1126
Stable computation of certain functionals of the eigenfunctions of the Sturm–Liouville problem on an infinite interval
p. 1126-1133
Some rotating-oscillating systems subject to high-frequency perturbations
p. 1133-1139
Solution of a parabolic equation of diffraction theory by the method of finite differences
p. 1140-1144
Calculation of corrections to geometrical optics. I. The scalar problem
p. 1144-1152
Solutions of the single speed transfer equation for an instantaneous monodirectional point source
p. 1152-1158
Stability of some numerical schemes of the three-dimensional method of characteristics
p. 1158-1160
A realization of the gully method with adaptation of the size of the gully spacing according to the exponential law
p. 1161-1167
Some problems of increasing the accuracy of the Monte Carlo method and its use in calculating the probability characteristics of non-linear automatic control
p. 1167-1173
The parametric problem of shortest distances
p. 1173-1177
Numerical analysis: an introduction: J. Walsh, (Ed.), London–New York, Academic Press, XIV+212 pp., 1966
Linear and non-linear equations of parabolic type: O. A. Ladyzhenskaya, V. A. Solonnikov and N. N. Ural'tseva. “Nauka”, Moscow, 1967. Lineinye i kvazilineinye uravneniya parabolicheskogo tipa
p. 1178-1180
Quantum mechanics: R. A. Newing and J. Cunningham. Oliver and Boyd, London Edinburgh, Interscience, New York, ix+235 p., 1967

Sommaire du Fascicule no. 6

Correction: “Some approaches to solving stationary Navier–Stokes equations”
50 лет ЦАГИ
Differentiability of a maximin function. I
p. 1186-1195
Linear time-optimal problems with two groups of control parameters
p. 1196-1207
On the Newton–Kantorovich method
p. 1208-1217
The convergence of difference schemes which approximate the second and third boundary value problems for elliptic equations
p. 1218-1231
The spectral function of a Schrödinger operator with strongly singular potential wave operators
p. 1232-1241
The method of lines for the solution of the nonstationary transport equation
p. 1242-1255
The two-centre problem of quantum mechanics: II. Mathematical section
p. 1256-1268
The Feynman–Schrödinger equation and the method of statistical perturbations
p. 1269-1279
Calculation of the equations of a laminar boundary space layer by the method of integral relations
p. 1280-1290
Free vibrations of a self-gravitating liquid sphere with viscous and capillary forces
p. 1291-1305
The asymptotic behaviour of waves in passive media
p. 1306-1317
The use of poorly converging iteration processes for the solution of systems of linear equations
p. 1318-1321
The question of the localization of the characteristic numbers of a matrix
p. 1321-1327
A certain iteration method for finding a simple root of the equation $f(x)=0$
p. 1327-1329
A certain method of smooth interpolation of functions
p. 1330-1331
The principle of uniform approximation as applied to the treatment of the results of conditional measurements
p. 1332-1334
Integration over certain regions which are different from the unit cube
p. 1334-1341
Cubature formulas for certain integrals over a space
p. 1341-1344
Accelerated method of solving the linear time optimal problem
p. 1345-1352
A problem with contact discontinuity
p. 1352-1359
Integral characteristics of systems with narrow distribution
p. 1359-1368
Current waves in a thin wire and on a ribbon
p. 1368-1376
Problem of the convergence of a method of estimating iteration deviations
p. 1377-1378
The problem of nonstationary free convection
p. 1378-1383
A certain algorithm for the solution of the choice problem
p. 1383-1384
Discrimination of closed subgraphs
p. 1385-1387
Algorithm for discovering the set of all the solutions of a linear programming problem
p. 1387-1395
Application of the Monte-Carlo method to calculate the aerodynamic characteristics of bodies of complex shape in free molecule flow
p. 1395-1402
Functions of the dispatcher of the operational system BESM-6
p. 1403-1418
Formalisme lagrangien et lois de symetrie: M. Gourdin. VIII+100 p. Gordon and Breach Sci. Pubis., 1968
p. 1419-1420
Machine intelligence. I: Edited by N. L. Collins, D. Michie. Oliver and Boyd, x+278 pp., Edinburgh–London, 1967
p. 1420-1422
Numerische methoden der mathematischen optimierung mit ALGOL- und FORTRAN-Programmen: H. P. Kunzi,
Zur berechnung optimaler strategien für spiele über dem einhatsquadrat mit an der hauptdiagonalen unstetigen auszahlungsfunktionen: L. Von Wolfersdorf. Akad-Verl., Berlin, 1967