Geodesic

Sommaire du Fascicule no. 1

Convergence of an approximate method of solving operator equations of the first kind
p. 3-17
Solution of the problem of parameter ordering in Chebyshev iteration methods
p. 18-33
A method of penalty estimates for conditional extremum problems
p. 34-46
An algorithm and questions of the convergence of the method of local variations for partial differential problems
p. 47-58
Mixed strategies in a certain generalization of the Gross problem
p. 59-70
Some numerical methods for the solution of stiff systems of ordinary differential equations
p. 71-79
Economical schemes for a multidimensional heat equation with discontinuous coefficients
p. 80-91
Application of the smoothing method to certain systems of quasilinear hyperbolic equations
p. 92-102
Solution of the inverse Stefan problem
p. 103-118
A direct method of calculating periodic lattices
p. 119-126
A justification of the method of transverse sections for an acoustic wave guide with nonhomogeneous content
p. 127-135
An implicit difference method for temperature determination in problems of radiation gas dynamics
p. 136-146
Computation of transonic “supercritical” flows by the “coarse particle” method
p. 147-171
Designing syntactic analyzers for conversation systems
p. 172-186
Representation of a Cauchy integral over an open contour in terms of multilogarithms
p. 187-191
A multidimensional generalization of Simpson's formula
p. 191-193
On finding a pulse transfer function by Tikhonov's method of regularization
p. 194-199
On he order of approximation when solving a Fredholm equation of the first kind with a kernel of special type
p. 200-204
The problem of constructing linear regularizing algorithms in Banach spaces
p. 204-210
A certain game with incomplete information
p. 210-216
Solution of the game with the right to precedence in case of incomplete information on the partner's intention
p. 217-221
A one-sided search of the tree of variants in the method of Land and Doig
p. 221-227
On evaluating functionals of the eigenfunctions of a boundary value problem for a system of linear ordinary differential equations
p. 227-233
A certain estimate of the accuracy of the solution of certain systems of linear algebraic equations
p. 233-237
A numerical method for solving steady-state problems of diffraction of electromagnetic waves by solids of revolution
p. 237-241
The determination of a non-linear effect
p. 241-247
The stationary modes of a heavy-current, self-constricting radiating discharge in a plasma
p. 247-253
On splitting schemes for the kinetic equation
p. 253-257
The shape of the supersonic three-dimensional nozzle possessing maximum thrust
p. 257-262
On the convergence of difference approximations in the Dirichlet problem
p. 263-264
The Fourth All-Union Seminar on Monte Carlo Methods in Nuclear Geophysics
Fitting equations to data: C. Daniel and F. C. Wood, Wiley, Interscience, New York, XIV + pp. 342, 1971. Book review

Sommaire du Fascicule no. 2

The stationary phase method as applied to integrals that depend on a parameter
p. 275-293
A generalized residual principle
p. 294-302
Optimal conduct of a player having the right to the first move when his knowledge of partner's interests is inaccurate
p. 303-310
The role of information on the opponent's target function in a two-person game with a fixed sequence of moves
p. 311-317
The equalization principle in a certain problem of resource distribution in the case of nonconflicting interests
p. 318-325
A scheduling problem for cyclically recurring production
p. 326-342
The fundamental solution of a one-parameter family of difference approximations of Laplace's operator on the plane
p. 343-355
Economic schemes for a modification of the third boundary value problem
p. 356-364
The uniqueness of the solution of a certain inverse problem
p. 365-372
Integral equations of stationary problems of short wave diffraction by barriers of segment type
p. 373-384
A conservative method for “flows”, and the calculation of the circumfluence of a body of finite dimensions by a viscous heat-conducting gas
p. 385-397
Calculation of radiative transfer by Galerkin's method
p. 398-407
The Monte-Carlo method in Feynman's formulation of quantum statistics
p. 408-420
Limit behavior of the eigenvalues of boundary value problems in unboundedly expanding domains
p. 421-432
Solution of the Navier–Stokes equations in complex fields
p. 433-445
The equivalent transformation of phrase structure grammars to precedence grammars
p. 446-455
An attribute of matrices of monotonic form and uses of their properties
p. 456-457
Note on a paper by V. S. Godlevskii
p. 457-459
The convergence of the Bubnov–Galerkin method for a certain type of a nonlinear operator equation
p. 459-464
An algorithm for finding all the points minimizing the sum of functions of a special form
p. 464-467
A computer experiment on the solution of integer linear programming problems by the construction of a sequence of plans
p. 467-471
Obtaining a conformed solution in a system of economic planning models
p. 471-476
The stable branch points in equations with a small parameter multiplying the derivative
p. 476-480
Solution of a system of non-linear differential equations
p. 481-483
Convergence of the SOR method of solution of variational-difference equations for elliptic equations in an arbitrary domain
p. 483-488
Stability of elliptic difference problems
p. 488-494
The sweep method for difference equations defined on a complex
p. 494-497
The motion of a charged particle in constant and uniform electric and magnetic fields
p. 498-500
A non-linear method for computing one-dimensional reactor critical parameters
p. 500-503
A method of simulating an exponential distribution law
p. 503-505
Use of Poisson's stochastic process to calculate the collision relaxation of a non-equilibrium gas
p. 505-510
Calculation of the subsonic flow of a radiating gas by the time dependent method
p. 510-515
An analytic solution of the problem of the contact of a stamp with an elliptic horizontal section with an elastic half-space
p. 515-519
A remark on the article “A variational difference method for solving the first boundary value problem for the biharmonic equation on a regular network”
Sequences and series. Definitions, theorems, exercises, problems: D. S. Mitrinović and
Matrices and determinants. Collection of exercises and problems: D. S. Mitrinović, 178 p. Naućna knjiga, Belgrade, 1972. Book review
A collection of problems on mathematics with solutions. Part II, third enlarged edition: D. S. Mitrinović, 334 p. Gradevinska knjiga, 1972. Book review
Introduction to the theory of difference schemes: A. A. Samarskii, 552 p. Nauka, Editor-in-chief of physical-mathematical literature, Moscow, 1971. Book review
p. 522-523
Design and use of computer simulation models: J. R. Emshoff and R. L. Sisson, xvii + 302 p. Macmillan Co., Collier–Macmillan Ltd., London, 1970. Book review
p. 523-524
Programming the IBM system/360: R. F. Steinhart and S. V. Pollack, xiv + 576 p. Holt, Rinehart and Winston, New York, 1970. Book review
p. 524-525
On the article: “The existence of solutions of certain equations that contain monotone discontinuous transformations”

Sommaire du Fascicule no. 3

Numerical algorithms for the selection of the parameter in the regularization method
p. 539-545
Methods for inverting tri-diagonal matrices
p. 546-554
The solution of convolution type integral equations of the first kind in the multi-dimensional case
p. 555-563
The analogue of the Neumann–Ulam scheme in the nonlinear case
p. 564-573
Modification of the local estimation of particle flux by the Monte Carlo method
p. 574-582
Numerical methods of solving some operational research problems
p. 583-598
The existence of optimal controls for processes that are described by a system of hyperbolic equations
p. 599-608
Segregation of stable manifolds for some nonlinear systems of ordinary differential equations with a singularity
p. 609-626
The method of successive approximations for the asymptotic integration of quasilinear autonomous systems
p. 627-634
An investigation of the difference Green's function for a wave system
p. 635-646
Necessary conditions for the stability of difference schemes, and the eigenvalues of difference operators
p. 647-657
On the convergence of the mesh method for nonlinear partial differential equations with monotonic operators
p. 658-669
Short wave asymptotic analysis of the Green's function of the problem of diffraction by a plane layer
p. 670-682
The method of quasistationary concentrations for the equations of chemical kinetics
p. 683-697
An approximate method of solution of a certain boundary value problem in the theory of moment-free elastic spherical shells
p. 698-711
The non-linear acoustics of a radiating gas. II. Weak shock waves
p. 712-727
The calculation of viscous gas flows in plane channels
p. 728-736
On recognition algorithms which are caution-threshold-extremal
p. 737-749
An economic algorithm for solving systems of algebraic equations by the finite element method
p. 750-754
A certain iteration method for equations with monotone operators
p. 755-759
Asymptotic expansion of a Fourier integral that contains slowly varying functions
p. 759-765
A method for accelerated discrete filtering of speech signals
p. 765-770
A type of “single” class estimators
p. 770-775
Infinite two-person games with prohibited situations
p. 775-781
A certain approach to cooperative games
p. 781-787
Some mathematical models for stock control in the case of an elementary non-stationary demand
p. 787-792
Application of the Newton–Kantorovich method for solving the problem of propagation of non-equilibrium radiation
p. 792-798
Numerical solution of the converse problem for transonic flow in a curved channel
p. 799-802
Congress of the International Federation of Information Processing (IFIP) 1974
p. 803-804
Computational methods in ordinary differential equations: J. D. Lambert, London–New York–Sydney–Toronto, John Wiley and Sons, Ltd., XV + 278 pp. 1972. Book review
“Numerical methods in gas dynamics”: Proceedings of the Scetion, of the Second International Colloquium on Gas Dynamics, Explosions and Reacting Systems (Novosibirsk, 19–23 August 1969), Vol. I Moscow, VTs AN SSSR, pp. 524, 1971, Vol. II, pp. 420, Vol. III, pp. 279. Book review
p. 805-807
Computers BASIC and physics: H. D. Peckham, Addison-Wesley, 320 pp. 1971. Book review

Sommaire du Fascicule no. 4

On the optimality and limiting properties of the bayes solution of a system of linear algebraic equations
p. 819-828
Local convergence theorems for gradient methods in Hilbert space
p. 829-838
The convergence of the Bazley–Fox method in the problem of the eigenvalues of one bilinear form with respect to another
p. 839-853
More on plane nets of integration
p. 854-864
Determination of the parameters for conformal mapping of simply connected polygonal domains
p. 865-872
Sufficient conditions for a local minimum
p. 873-884
The solution of a boundary value problem with a small parameter multiplying the highest derivative and with singularities in the coefficients
p. 885-896
On the solution of Stefan's converse problem. II
p. 897-906
The alternating-direction iteration method for Poisson's difference equation in curvilinear orthogonal coordinates
p. 907-922
A divergence difference scheme for the computation of supersonic steady-state flows of complex structure
p. 923-937
The solution of certain problems of the theory of network shells
p. 938-951
Hydrodynamics in weak gravitational fields. Planar problems on the oscillations of an ideal fluid in a vessel
p. 952-970
Numerical investigation of the problem of the explosion of a cylindrical charge of finite length
p. 971-983
Free expansion of a layer of rarefied gas into a vacuum
p. 984-998
Application of a modified scalar potential to the numerical solution of three-dimensional magnetostatic problems
p. 999-1009
Investigation of some problems of the theory of point explosions by an explicit finite-difference method
p. 1010-1020
Calculation of the supersonic flow past blunt bodies using the complete and simplified Navier–Stokes equations
p. 1021-1028
Asymptotic behaviour of integrals with a large parameter in the argument of a Bessel function
p. 1029-1035
Probability estimate of the integration error for $\Pi_\tau$-nets
p. 1035-1037
Necessary conditions for the minimaximin
p. 1037-1041
The method of successive approximations for linear equations in Hilbert space
p. 1041-1044
The computation of lower bounds of functionals from approximate information
p. 1045-1049
The approximate solution of equations of the first kind
p. 1049-1056
A certain method for the numerical integration of systems of ordinary differential equations
p. 1056-1059
Calculation of the supersonic flow of a gas round the atmosphere of a spherical body
p. 1060-1064
The numerical solution of axially symmetric flows with a free boundary
p. 1064-1068
Radiative transfer in a plane-parallel multilayer system with non-isotropic scattering
p. 1068-1075
A variant of the monte carlo method for the solution of linear problems of the dynamics of a rarefied gas
p. 1075-1079
The interpolation of functions of many variables by generalized polynomials and a lattice collocation method for solving equations of mathematical physics
p. 1080-1081
All-union symposium on mathematical methods in chemistry
Proceedings of the Second International Conference on Numerical Methods in Fluid Dynamics. “Lecture Notes in Physics”: M. Holt (Editor). 8, ix + 462 p., Springer, Berlin–Heidelberg–New York, 1971. Book review
p. 1083-1084
First USA-Japan computer conference proceedings. October 1972. Tokyo: xxi + 717 p., Hitachi Printing Co., Tokyo, 1972. Book review
Erfolgreich programmieren! Von studium der aufgabenstellung bis zum testergibnis: W. Boehmelt. 224 p. Telekosmos-Verl.-Francklin, Stuttgart, 1971. Book review

Sommaire du Fascicule no. 5

The error principle in the solution of incompatible equations by Tikhonov regularization
p. 1099-1111
The order of magnitude of the error in the computation of a function with approximately defined argument
p. 1112-1123
Asymptotic behavior of the eigenfunctions and eigenvalues of integral operators with $\delta $-like kernels
p. 1124-1133
On the question of the complete qualitative investigation of Duffing's equation
p. 1134-1152
Solution of the Cauchy problem for a parabolic equation by a quasi-Monte-Carlo method
p. 1153-1160
The approximation of Bellman's function
p. 1161-1174
The maximum principle in a certain minimax problem
p. 1175-1185
The method of penalty functions for nonlinear programming problems
p. 1186-1199
Solution of discrete minimax problems by the method of dichotomy
p. 1200-1209
Careful synthesis of an efficiency test on the basis of expert estimates
p. 1210-1218
The differential properties of the minimax in a certain problem of allocation of resources
p. 1219-1227
Investigation of a certain algorithm for the solution of the traveling salesman problem
p. 1228-1236
Comparison of computing methods for hydraulic circuits
p. 1237-1248
The oscillations of immiscible fluids
p. 1249-1263
A splitting method for solving relaxation equations with diffusion
p. 1264-1272
Asymptotic estimates for flows of bounded width with free boundaries
p. 1273-1287
Reflection of a shock wave from a rigid wall
p. 1288-1297
Methods of solving one-dimensional problems of radiation gas dynamics. II
p. 1298-1306
Solution of the linearized Boltzmann equation
p. 1307-1314
A numerical method of investigation of the continuity of the minimal time in linear systems, and a solution of the Cauchy problem for Bellman's equation
p. 1315-1319
Differentiability of the isochronous surfaces in a linear time-optimal problem
p. 1319-1323
A certain algorithm for computing the vector of satisfaction of the requirements of the programs
p. 1324-1327
The validation of algorithms for choosing the regularization parameter
p. 1328-1332
Solution of the spectral problem by the splitting method
p. 1332-1338
The error in Adams type methods for the Cauchy–Volterra problem
p. 1338-1341
A modification of the method of splitting the boundary conditions for the solution of the biharmonic equation
p. 1341-1347
Free motion of a solid body in the flow of a viscous incompressible fluid. Dissipation of the kinetic energy of a viscous fluid
p. 1347-1351
Non-stationary problems of non-linear heat conduction with volume heat absorption
p. 1351-1356
Numerische Methoden der Approximationstheorie: L. Collatz and G. Meinardus, Editors. Band 1. 246 p. Birkhäuser, Basel–Stuttgart, 1972. Book review
Proceedings of the third international conference on fluid mechanics: H. Cabannes and R. Temam (Editors). Univ. Paris VI and XI, July 3–7, 1972. Vol. I. General lectures. Fundamental numerical techniques. 186 p.; Vol. II. Problems of fluid mechanics. 275 p. Springer, Berlin–Heidelberg–New York, 1972. Book review
Introduction to mathematical techniques in pattern recognition: H. C. Andrews. xiii + 242 p. Wiley-Intersciences, a div. of John Wiley and Sons, Inc. New York, London, Sydney, Toronto, 1972. Book review
p. 1358-1360

Sommaire du Fascicule no. 6

Convergence of a regularized Gauss–Newton method
p. 1371-1382
The stable evaluation of a derivative in space $C(-\infty,\infty)$
p. 1383-1389
Block modifications of the Aitken–Steffensen perturbation method
p. 1390-1401
A modified method of successive approximations
p. 1402-1408
Parameters for the conformal transformation of symmetric doubly connected polygonal domains
p. 1409-1416
Computation of Hankel (Bessel) functions of complex index and argument by numerical integration of a schlafli contour integral
p. 1417-1424
The rate of convergence of the block SOR method of solution of variational-difference schemes for elliptic equations of order $2m$ in arbitrary two-dimensional domain
p. 1425-1440
The breaking up of the domains in the solution of boundary value problems for Poisson's equation in regions of complicated form
p. 1441-1458
On the theory of three-person games
p. 1459-1468
Approximation of two-person games with communication of information
p. 1469-1484
On the theory of multistep games
p. 1485-1500
Integral games
p. 1501-1510
A certain class of pursuit games
p. 1511-1526
An iterative algorithm for the solution of large-scale economic problems
p. 1527-1533
The solution of transport theory problems in spherical geometry
p. 1534-1543
Numerical realization of an iterative method for boundary-layer equations
p. 1544-1556
Calculation of the supersonic flow around conical bodies
p. 1557-1572
The numerical solution of Boltzmann's equation
p. 1573-1580
Locating the eigenvalues of a matrix
p. 1581-1583
Some eigenvalue properties of five-diagonal matrices of a special form
p. 1583-1587
The computation of the logarithmic derivative of associated Legendre functions
p. 1588-1591
The numerical solution of Abel's integral equation
p. 1591-1596
A remark on a class of regularizing algorithms
p. 1596-1598
Application of Chebyshev polynomials to the regularization of ill-posed and ill-conditioned equations in Hilbert space
p. 1599-1601
The problem of the rate of convergence in the method of simple iteration
p. 1602-1606
A direct method of solving Neumann problems for Poisson's equation
p. 1607-1612
Necessary optimality conditions for problems with two groups of controls with bounded phase coordinates
p. 1612-1619
The accuracy of algorithms for calculating estimates for tables generated by monotonic boolean functions
p. 1620-1625
Remark on the paper “The problem of finding a sequential maximin”
Computer organization and the System/370: H. Katzan, Jr. ix + 308 p. Van Nostrand Reinhold Co., New York, Cincinnati, Toronto, London, Melbourns, 1971. Book review