Geodesic

Sommaire du Fascicule no. 1

The convolution of finite systems of linear inequalities
p. 3-20
Minimisation of the number of arithmetic operations in the solution of linear algebraic systems of equations
p. 21-33
Efficient difference schemes for a hyperbolic system of equations with mixed derivatives and their application to the equations of the theory of elasticity
p. 34-43
Methods of dynamic programming in the theory of optimum controls. II: The general case of additive functionals
p. 44-56
Determination of the parameters of two-dimensional supersonic gas flows
p. 57-66
The transcriptor POLIZ-63
p. 67-76
Algorithms for the recognition of properties of sequences of symbols
p. 77-97
The duality principle in problems of convex programming
p. 98-106
Some inequalities for the eigenvalues of a positive definite matrix
p. 107-111
An estimate for the precision of approximate solutions of a system of linear algebraic equations
p. 112-114
Application of the trace of a matrix to calculating its eigenvalues
p. 114-116
The computation of polynomials of the fifth and seventh degrees with real coefficients
p. 116-118
An asymptotic for the incomplete Gamma function
p. 118-121
The lack of basis for Batschelet's majorant method and an estimate of the error in the solution of the mixed boundary value problem by the mesh method
p. 121-124
On the convergence of the method of subregions for ordinary integro-differential equations
p. 124-132
An example of a difference scheme unstable in the class of continuous coefficients
p. 132-135
A method of realizing the sweep method for solving the Poisson equation
p. 136-139
Calculation of the laminar boundary layer along the generator of a sublimable solid of revolution
p. 139-144
A program for calculating network charts
p. 144-148
A method of matrix analysis and its application to a problem in the theory of graphs
p. 148-150
A method of solving a management problem (programming and control) by elaborations
p. 150-155
Transforming of numbers of one number system into another
p. 155-156
Differentiability of the solution of the fundamental functional equation of dynamic programming
p. 157-160
Höhere mathematik für mathematiker, physiker, ingenieure: R. Rothe, Leipzig, Teubner, Teil 1. 20. Aufl. 1962, pp. 211; Teil 2. 16 Aufl. 1962, pp. 210; Teil 3. 12. Aufl. 1962. pp. 236; Teil 4. Hf 1–2, 13. Aufl. 1962, pp. 109 ; Teil 4. Hf 3–4, 12. Aufl. 1963, pp. 108; Teil 4, Hf 5–6, 11. Aufl. 1963, pp. 108; Teil 5. 10 Aufl. 1962, pp. 124. Book review
p. 161-163
Aufgabensammlung zur infinitesimalrechnung. Bd. 1: Funktionen einer variablen: A. Ostrowski, Basel–Stuttgart, Birkhäuser Verlag, 1964, pp. 336. Book review
Opere scelte. A cura dell'unione matematica italiana e col contributo del Consiglio nazionale delle ricerche. Calcolo delle variazioni. Argomenti vari: L. Tonelli. Roma. Edizioni Cremonese. Vol. 3. 1962. VI + 330 pp., Vol. 4. 1963. VI + 330 pp. Book review
Numerical analysis: K. S. Kunts, Translated from English. Kiev. Tekhnika, 1964. pp. 390. Book review
p. 165-166
Tables for numerical inversion of the Laplace transform: N. Skoblya. Minsk, Nauka i tekhn., 1964. Book review
p. 166-167
Introduction to electronic computers. Problem solving with the IBM 1620: F. J. Gruenberger and D. D. McCracken. J. Wiley, New York–London, VII + 167 pp., 1963. Book review
p. 167-168
Russian-English mathematical vocabulary with a short grammatical sketch: J. Burlak and K. Brooke, Oliver and Boyd Ltd., Edinburgh and London, 1963, VII + 305 pp. Book review
Errata

Sommaire du Fascicule no. 2

Errata
Approximate solution of singular integral equations
p. 171-184
Investigation of algorithms for optimizing the number of nodes of quadrature formulae for a given accuracy of quadrature
p. 185-198
Travelling waves in a medium with non-linear heat conduction
p. 199-217
Asymptotics of the transport equation
p. 218-235
An algorithm for the solution of a non-linear problem of optimum control
p. 236-241
Determination of the optimal quick-response control by linear multi-dimensional systems with the aid of methods of functional analysis
p. 242-251
Computational aspects of the problem of optimal flight as a boundary problem
p. 252-261
Asymptotic estimate of the influence of relative motion of a satellite on the motion of its centre of mass
p. 262-273
Selfmodelled GAS flow from the surface of a circular cone or wedge with an associated shock wave
p. 274-286
Oscillations of a viscous fluid of finite depth, proved by initial displacement of the free surface
p. 287-297
On the analysis of the graph of transitions for an operator
p. 298-310
Correcting codes for arithmetic errors
p. 311-316
The automatic programming system ALPHA
p. 317-325
A process for improving the orthogonalization of a vector system
p. 326-329
Convolution of a system of linear equations
p. 329-334
Algorithm for finding a general formula for the non-negative solutions of a system of linear inequalities
p. 334-337
An expansion for Gegenbauer polynomials
p. 338-340
The connection between the coincidence method and the method of substitution of a degenerate kernel
p. 340-342
An analogue of A. A. Abramov's method
p. 342-345
An approximate method of solving the Dirichlet problem for the Laplace equation in a rectangular parallelepiped
p. 345-347
A difference scheme with diagonal drive directions for solving the heat conduction equation
p. 347-350
Inequalities for the convergence of finite difference schemes for degenerate elliptic equations
p. 351-357
Error estimation in the numerical solution of boundary value problems for certain elliptic equations by the net method
p. 357-360
The method of straight lines for one-dimensional mixed non-stationary problems and estimation of the mean square error
p. 360-363
On the correctness of the statement of an inverse problem
p. 363-365
A division and multiplicative overflow detection method for electronic computers operating in residue class systems
p. 366-369
An extension of the logical potentialities of ALGOL-60
p. 369-372
Application of a dual algorithm
p. 372-376
Terminological work of IFIP and ICC
p. 377-386
Determinanten und matrizen: Kochendorfer, R., Leipzig, 1963. Book review
p. 386-387
Matrix iterative analysis: Varga R. S., 1963. Book review
p. 387-389
Elements of numerical analysis: Singer, J., New York–London, 1964. Book review
A programming course: Zhogolev, Ye. A. and Trifonov, N. P., Moscow, 1964. Book review
p. 390-391
Methods of information handling: Bourne, C. P., London, 1964. Book review
p. 391-392

Sommaire du Fascicule no. 3

Errata
Extremum problems in the presence of restrictions
p. 395-453
Calculation of the principal values, weights and nodes of the Gauss quadrature formulae of integrals
p. 454-462
Use of the regularization method in non-linear problems
p. 463-473
Theory of the heat potential. II. Smoothness of the contour heat potentials
p. 474-487
The procedure for calculating cells in a heterogeneous reactor
p. 488-502
Three-dimensional supersonic equilibrium gas flow round a body at the angle of attack
p. 503-518
Oscillations of a heavy viscous fluid in a moving vessel
p. 519-536
On depressions
p. 537-542
The best quadrature formula with a weight function
p. 542-545
Mathematical basis of the theory of electromagnetic soundings
p. 545-548
Monotonic difference schemes for elliptic and parabolic equations in the case of a non-selfadjoint elliptic operator
p. 548-551
Proof of an existence and uniqueness theorem for the solution of the Cauchy problem by the method of two-sided approximation for the generalized 2n-wave system
p. 551-557
Numerical solution of a problem of optimum control of a nuclear reactor
p. 558-561
Approximate method for the solution of a non-linear transfer equation
p. 561-565
The use of “artificial viscosity” in the numerical solution of an inverse problem of gas dynamics
p. 566-571
An algorithmic language
p. 571-574
Report on reduced ALGOL-60
p. 575-579
Report on the G.A.M.S. conference
Letter to editorial board
H. Heinrich. Einführung in die praktisch analysis. Teil I. Leipzig, Teubner, 1963VIII + 222 S. Book review
Nodes and weights of quadrature formulae. Sixteen-figure tables: A. S. Kronrod 143 p. “Nauka”, Moscow, 1964. Book review
p. 580-582
A. Kneschke. Differentialgleichungen und Randwertprobleme. Lehrbuch für Naturwissenschaftler und Ingenieure. Bd. 1. Geẅohnliche Differentialgleichungen. Berlin, 1960. 540 S. Bd. 2. Partielle Differentialgleichungen. Leipzig, 1961, 682 S. Bd. 3. Anwendungen der Differentialgleichungen. Leipzig, 1962, 478 S. Teubner. Book review
p. 582-584
D. Е. Rutherford. Classical mechanics. 3rd ed. Edinburgh–London, Oliver and Boyd, Ltd, 1964, VIII + 206 pp.
Errata

Sommaire du Fascicule no. 4

Estimates of the error of the Bubnov–Galerkin method in an eigenvalue problem
p. 587-607
The solution of systems of ordinary differential equations by expansion in power series on high speed computers
p. 608-614
On a method of approximate solution of ordinary differential equations
p. 615-625
Iterational alternating direction schemes for the numerical solution of the third boundary value problem in a $p$-dimensional parallelepiped
p. 626-637
The method of finite differences for the solution of quasilinear elliptic equations with discontinuous coefficients
p. 638-647
A difference problem on the eigen-values of an elliptic equation
p. 648-657
A theory of the thermal potential. III. Smoothness of a plane thermal potential
p. 658-666
Examples of the non-uniqueness and low stability of solutions of the equations of hydrodynamics
p. 667-679
A new method for the numerical solution of non-stationary problems of gas dynamics with two space variables
p. 680-688
An algorithm for concept separation using a syntactic table
p. 689-698
Procedure codes in the translator TA–2
p. 699-708
An experiment in the iterational solution of linear programming problems
p. 709-717
The stability of algorithms for the solution of degenerate systems of linear algebraic equations
p. 718-722
A method of reducing matrices to the Jordan normal form
p. 722-726
An iterative method of inverting matrices
p. 726-728
The approximate calculation of eigenvalues and eigenvectors
p. 729-732
A method of solving the partial eigenvalue problem
p. 732-737
An algorithm for computer search of the extremum of a function
p. 737-742
Asymptotic formulae for Legendre functions
p. 742-744
A numerical method for solving Fredholm integral equations of the 1st kind
p. 744-749
A local variation method for the numerical solution of variational problems
p. 749-754
The plane problem for waves on the surface of a moving viscous liquid of infinite depth
p. 754-760
A lower bound for the randomness measure required in the use of the Monte Carlo method
p. 760-763
Accelerating the convergence of the Monte Carlo method in the solution of radioactive logging problems
p. 763-768
Estimates of the solutions of linear difference and differential equations with variable coefficients
p. 768-773
Difference schemes on “oblique” nets
p. 773-776
An algorithm for the enumeration of combinations
p. 776-778
The all-union conference on computational mathematics
p. 779-780
J. A. Wilkinson. Rounding errors in algebraic processes. London, Her Majesty's Stationary Office, 1963, VI+161 pp., 1 lb. 1 sh. (Book review)
L. Веrs, F. Jоhn, М. Sсhесhtеr. Partial differential equations. (Sect. Appl. Math. 3). New York–London–Sydney, Intersci., 1964, XIV+343 pp. (Book review)
p. 781-782
J. Mathews, R. L. Wolker. Mathematical methods of physics. New York–Amsterdam, W. A. Benjamin, Inc, 1964, X+475 pp. (Book review)
p. 782-783
Е. Werth, Н. Сröl. Nomographie–Wegweises zur vereinfachten Ausfuhrung von Berechnungen. Leipzig, Teubner, 1964, 84+106 pp. (Book review)
p. 783-784

Sommaire du Fascicule no. 5

Correction
A random iteration process. II
p. 787-795
On the zeros of Lommel functions with an integral non-negative
p. 796-805
Evaluation of the error in finding eigenvalues by the method of finite
p. 806-815
An economic continuous calculation scheme for the Stefan multidimensional problem
p. 816-827
A difference method with coefficient smoothing for the solution of Stefan problems
p. 828-840
On a function encountered in the theory of diffraction
p. 841-851
On a proof of the splitting method for the equation of radiation transfer
p. 852-863
The Cauchy problem for the linearized Boltzmann equation
p. 864-882
The problem of diffraction on a lattice of arbitrary profile
p. 883-893
Gradient methods for solving problems of terminal control in linear systems of automatic regulation
p. 894-902
On a method of calculating the eigenvalues of matrices
p. 903-907
Shift for systems with badly posed matrices
p. 907-911
The evaluation of integrals of increasing multiplicity
p. 911-916
On convergence of generalized quadrature formulae
p. 917-922
Discontinuous solutions of equations of the first kind
p. 922-926
On a certain method of solution of nonlinear functional equations
p. 927-931
Program for solving a system of Volterra integral equations (of the second kind)
p. 932-936
A possible way of economizing computer time in the solution of the Laplace equation by the Monte-Carlo method
p. 936-938
Non-linear difference schemes for hyperbolic equations
p. 938-944
On application of the method of straight lines for solving boundary value problems for certain non self-conjugate two-dimensional elliptic equations of the second order
p. 945-949
The short wave asymptotic form of the solution for the problem of a point source in an inhomogeneous medium
p. 949-951
The computation of Coulomb wave functions
p. 952-954
Calculation of Lavalle nozzles
p. 955-959
Results of boundary layer computations for blunt cones in a supersonic
p. 960-966
The conjugation method in problems on the proper oscillations of a fluid in a vessel
p. 966-970
Linear operators. Part II. Spectral theory. Selfadjoint operators in Hilbert space: N. Dunford and J. T. Schwartz, New York–London, Interscience Publication, Division of John Wiley Sons, IX + 1923 pp. + 7 pp. errats. to part I. 1964. Book review
p. 971-972
Asymptotic solutions of differential equations and their applications: Ed. C. H. Wilcox, London, John
p. 972-973
Linear and quasilinear elliptic equations: O. A. Ladyzhenskaya and N. N. Ural'tseva, “Nauka”, Moscow, 1964, 538 pp. Book review
p. 974-976
Der rechenstab und seine verwendung: H. Lehman, Leipzig, Veb Fachbuch-verlag, 1964, 228 pp. Book review

Sommaire du Fascicule no. 6

Errata
Discovery of the solutions of certain systems of differential equations with a given condition at infinity. I
p. 979-990
Commuting translation invariant operator fields
p. 991-1005
Certain estimates for the Green's function of the Helmholtz equation
p. 1006-1023
On certain diffraction problems for small amplitude shock and elastic waves
p. 1024-1031
Direct methods for treating the problem of an electromagnetic resonator
p. 1032-1048
Motion of a rigid body with cavities filled with viscous fluid at small Reynolds numbers
p. 1049-1070
Problems of vibrations in a liquid with surface tension forces
p. 1071-1095
One-dimensional self-model motions of a gas with thermal and electrical conductivity in a magnetic field
p. 1096-1106
Solution of eigenvalue problems by the method of complemented vector
p. 1107-1115
On the solution of the transfer equation
p. 1116-1119
A combination of the straight line method and the integral transform method for calculating electrostatic fields with rotational symmetry
p. 1120-1124
An algorithm for the numerical solution of the problem of chain isothermal expansion of a plane flame
p. 1124-1129
Solution of the equation for the darkening at an edge
p. 1130-1135
On the width of the zone of influence for the heat equation
p. 1135-1138
Motion of a viscous incompressible fluid in a plane pipe
p. 1138-1141
Lectures on modern mathematics. Vol. II. Book review
p. 1142-1143
Boundary value problems: A. G. Mackie, Oliver and Boyd, Ltd., Edinburgh–London, 1965, XII + 249 pp. Book review
Mathematical theory of probability and statistics: R. von Mises, Acad. Press, New York–London, 1964, XIV + 694 pp. Book review
p. 1143-1144
An introduction to numerical linear algebra: L. Fox, Oxford, Clarendon Press, 1964, XII + 295 pp. Book review
p. 1144-1145
Mathematical foundations of quantum mechanics: G. W. Mackey, New York–Amsterdam, W. A. Benjamin, Inc., 1963, X + 137 pp. Book review
p. 1145-1146