Geodesic

Sommaire du Fascicule no. 1

Optimal approximation of operators
p. 3-14
A projective-iterative algorithm for the solution of ill-posed problems with an approximately given operator
p. 15-23
A new truncation procedure in the Bazley–Fox method
p. 24-41
Stationary strategies in differential games
p. 42-51
A class of multistage stochastic optimal control problems
p. 52-63
An existence theorem in a minimax control problem
p. 64-71
A method of evaluating the stationary points of a general problem of non-linear programming
p. 72-78
Conditions for regularity and necessary conditions for a maximin with dependent variables
p. 79-90
A stochastic quasigradient method for maximin search
p. 91-99
An iterative method with Chebyshev parameters for finding the maximum eigenvalue and corresponding eigenfunction
p. 100-108
A variational-difference method for solving two-dimensional linear parabolic equations
p. 109-118
The numerical extraction of bounded solutions for systems of linear partial differential equations of evolution type
p. 119-135
On rational approximation in case's method
p. 136-148
Nonlinear mathematical problems on the transfer of excitatory and inhibitory pulses in neural tissues
p. 149-161
The spatial kinetics of a pulsed heat-capacity reactor
p. 162-174
Analyse asymptotique des écoulements de fluides visqueux compressibles à faible nombre de Mach. I. Cas des fluides non pésants
p. 175-182
A difference scheme for the problem of the strong bending of thin plates
p. 183-195
A difference scheme for the problem of strong bending of thin plates
p. 196-208
The convergence of an iteration process for the quasilinear heat equation
p. 209-216
Local algorithms over S. V. Jablonskii schemes
p. 217-225
An approach to the construction of optimal recognition algorithms for large control tables
p. 226-232
Convergence of monotone iterative processes
p. 233-238
A method for the regularization of Radon reconversion in a medical-biological problem
p. 238-241
Optimal quadrature formulas for the sphere
p. 241-246
Efficient algorithms of the Monte-Carlo method for computing the correlation characteristics of conditional mathematical expectations
p. 246-249
A search scheme for approximate solutions of a convex programming problem
p. 249-254
Duality in multipurpose programming
p. 254-258
An algorithm for the solution of a linear programming problem by the loaded functional method
p. 259-263
The stability and asymptotic estimation of the solution of an inverse problem with a small parameter
p. 263-267
A numerical method of solving three-dimensional diffraction problems
p. 267-272
Solution of the inverse problem of the dispersion of an electromagnetic pulse in a conducting medium
p. 273-276
The convergence on Newton's iterative method for the solution of difference equations for gas dynamics
p. 276-280
K. Sarkhadi and I. Vincze. Mathematical methods of statistical quality control. Book review

Sommaire du Fascicule no. 2

On optimal methods for solving illposed problems with an approximately specified operator and error estimates for the methods
p. 291-297
Solution of a certain spectral problem of transport theory by the splitting method
p. 298-305
The numerical stability of a matrix double sweep
p. 306-319
The problem of the allocation of resources of different types
p. 320-327
Optimal serving sequence for a single system
p. 328-338
Singularly perturbed systems in the theory of semiconductors
p. 339-348
Zolotarev's problem in the method of variable directions
p. 349-366
An implicit difference scheme for the integration of systems of hyperbolic equations
p. 367-376
An additive difference scheme for a fourth order nonstationary equation in an arbitrary domain
p. 377-383
A numerical study of the diffraction problem by a modified method
p. 384-393
Wave radiation by a sphere with a circular hole
p. 394-406
Numerical solution of eigenvalue problems for integrodifferential equations in nuclear theory
p. 407-419
A correct asymptotic multigroup approximation in the problem of finding the critical radius of a sphere
p. 420-427
An iteration method for the solution of the two-dimensional equations of radiation diffusion
p. 428-436
Solution of the plastic flow theory problem by the finite element method
p. 437-452
Solution of mixed boundary value problems of the theory of momentless spherical shells by a differential-difference method
p. 453-469
Numerical solution of the problem of the rotation of a cylinder in a flow of a viscous incompressible fluid
p. 470-480
Algorithm for the control of grinding automata
p. 481-489
Aus der Erfahrung der Realisierung von Spezialsprachen auf
p. 490-497
A method of conjugate gradients in the problem of conditional minimization
p. 498-501
An economical method for the numerical solution of convolution equations
p. 501-504
A problem of identifying functions that generate a nonlinear operator
p. 504-507
The Wegstein method as a modification of the method of secants
p. 507-508
The construction of attainability sets for linear systems with hindrances
p. 508-512
The method of the extremal basis in minimax problems
p. 512-517
An application of the branch and bound method to certain discrete programming problems
p. 518-522
On the solution of a mixed boundary value problem for the Helmholtz equation in the exterior of a sphere
p. 522-527
A generalization of the parabolic equation of diffraction theory
p. 527-533
The scattering of a rarefied gas flow by a rough surface
p. 533-538
Analytic approximation of air pressure as a function of internal energy and density
p. 538-540
Lie groups and their representations. Summer school of the Boglyai Janos Mathematical Society: I. M. Gelfand (Editor) 726 p. Akad. Kiado, Budapest, 1975. Book review
Hybridrechnen: M. Feilmeier 304 p. Birkäuser Verl., Basel–Stuttgart, 1974. Book review
p. 541-542
RPG-Sprachbeschreibung für DOS/ES und OS/ES.P: P. Liebetanz. 160 p. B. G. Teubner Verl., Leipzig, 1975. Book review

Sommaire du Fascicule no. 3

The method of quasireversibility
p. 555-561
Optimal passive algorithms for the computation of the largest value of functions on an interval
p. 562-571
A method for the computation of multiple integrals with an automatic choice of step
p. 572-578
Second order finite-difference equations with constant coefficients in the field of rational functions
p. 579-584
Importance sampling and the simple Monte Carlo method in the calculation of the sum of a Neumann series
p. 585-590
On optimization of algorithms for function minimization
p. 591-609
Optimal continuous analogues of multistage optimal control processes
p. 610-621
The method of Ljapunov functions in the study of continuous algorithms of mathematical programming
p. 622-633
Parametrization in degenerate quadratic programming problems
p. 634-648
An iterative method for the calculation of the first eigenfunction of an elliptic operator
p. 649-663
An alternating-triangular iterative method for the solution of elliptic difference equations in an arbitrary domain
p. 664-675
A finite-difference method for the solution of the Cauchy problem for a first order quasilinear equation
p. 676-689
The stability of boundary value problems for systems of difference equations of varying structure
p. 690-695
Two numerical methods for the solution of one-dimensional filtration problems for multicomponent systems
p. 696-705
Angular potential and the oblique derivative problem for harmonic functions
p. 706-717
Integral representations of the solutions of the two-dimensional wave equation, and diffraction problems
p. 718-728
The mathematical model of the abrasion of a grinding wheel
p. 729-736
Allowance for atmospheric inhomogeneities in calculating the tungusska meteorite explosion
p. 737-752
The numerical solution of the inverse scattering problem
p. 753-756
Isolation of the Gershgorin circles
p. 756-759
The zeros of the cylindrical functions $K_{n}(z)$
p. 759-762
The simulation of an exit point of a Brownian motion on the surface of a sphere
p. 763-764
The convergence of the method of the loaded functional in convex programming problems
p. 765-768
A modification of the Runge–Kutta procedure
p. 769-771
An analytic method of evaluating three-centre one-electron integrals with slater functions
p. 771-775
On the calculation of the electromagnetic eigenoscillations of solids of revolution
p. 776-780
On the optimization of plane-parallel magnetic fields
p. 780-785
A variant of the moment method for the computation of selective radiation transfer
p. 785-790
Numerical simulation of the plane flow of a viscous fluid under the action of an external periodic force in space
p. 791-795
The Chebyshev polynomials: T. J. Rivlin vi + 186 p. John Wiley and Sons, New York–London, 1975. Book review
p. 796-797
Spline-funktionen. Theorie und anwendungen: K. Böhmer. 340 p. B. G. Teubner, Stuttgart, 1974. Book review
p. 797-798
Moderne methoden der numerischen mathematik: J. Albrecht and L. Collatz (Editors). 175 p. Birkhäuser Verl., Basel–Stuttgart, 1976. Book review
p. 798-799
Programs and machines. An introduction to the theory of computation: R. Bird 214 p. John Wiley and Sons, New York–London, 1976. Book review
p. 799-800

Sommaire du Fascicule no. 4

Nikita Nikolaevich Moiseev celebrates his sixtieth birthday
p. 811-813
The method of least squares for degenerate and ill-conditioned systems of linear algebraic equations
p. 814-827
Some results concerning irreducible matrices
p. 828-837
The extremal problem of representing a given function of two variables by a table of values of functions of a single variable
p. 838-846
Optimality with respect to order of the regularization method for nonlinear operator equations
p. 847-858
The convergence of a certain iteration process
p. 859-870
An expansion in a Hilbert space and its applications
p. 871-878
Limit properties of a linear optimal control problem
p. 879-889
A relaxation method for solving problems of non-linear programming
p. 890-904
Approximate methods for the solution of convex programming problems
p. 905-914
A method of solving linear hierarchical games
p. 915-921
Multistage conflicts with information exchange
p. 922-931
Game models of expertise
p. 932-947
Solution of the Cauchy problem for ordinary differential equations with retarded argument by means of splines
p. 948-954
An iteration method for the approximate solution of differential-difference equations with a small retardation
p. 955-971
An application of the method of integral relations and the method of quasilinearization to the Goursat problem
p. 972-979
Methods for the approximate solution of the Dirichlet problem for the biharmonic equation
p. 980-998
On the calculation of a critical radius of a shelled sphere
p. 999-1009
The exact computation of the excitation of certain systems of plane wave guides
p. 1010-1019
Solvability of stationary problems for the Boltzmann equation in the case of large Knudsen numbers
p. 1020-1030
A search for a minimum of a function with a bounded third derivative
p. 1031-1034
The method of descent by coordinates in problems of conditional minimization
p. 1034-1036
Singular controls in mathematical problems of physics
p. 1036-1040
The $\varepsilon $-approach to the multidimensional knapsack problem: the polynomial growth of the branching tree
p. 1040-1042
Some algorithms for the solution of integer problems of nonlinear mathematical programming
p. 1042-1046
A class of integer programming problems
p. 1047-1052
An application of splines to the approximation of discontinuous solutions of ordinary differential equations
p. 1053-1058
Significance of the monotonicity of finite-difference schemes in shock-capturing methods
p. 1058-1063
On the existence of a generalized solution of Landau's equation
p. 1063-1068
An application of the Monte Carlo method to the solution of spectral problems of radiant heat exchange
p. 1068-1074
Description of a program set for solution of the light-wave propagation equations
p. 1074-1076
Comparison of calculations of axisymmetrical radiative gas flows
p. 1077-1081
Method of variable grids in the velocity space for the strong shock structure problem
p. 1081-1086
Analyse fonctionnelle. Theorie constructive des espaces lineares à semi-normes. Tome II. Mesure et intégration dans l'espace euclidien: N. G. Garnier, M. De Wilde, J. Schmets, 1972, 287 p.; Tome III. Espaces fonctionnels usuels. 1973, 375 p. Birkhäuser Verl., Basel–Stuttgart. Book review
Spectral synthesis: J. J. Benedetto, 278 p., B. G. Teubner, Stuttgart, 1975. Book review
p. 1088-1089

Sommaire du Fascicule no. 5

Computer mathematics and scientific and technological progress
p. 1099-1101
Linear algebraic systems with Toeplitz matrices
p. 1102-1116
Inversion of five-diagonal matrices
p. 1117-1122
A class of iterative procedures for the solution of systems of nonlinear equations
p. 1123-1131
A pseudo-inversion of closed operators that is stable under perturbations
p. 1132-1143
A priori error estimates of variational methods in Banach spaces
p. 1144-1152
The effectiveness of multidimensional interpolational iterations
p. 1153-1160
The problem of the reconstruction of functions that are given with error
p. 1161-1171
Asymptotic behavior of sums with rapidly oscillating terms
p. 1172-1182
A method for coordinate-wise descent
p. 1183-1188
A scheme for the solution of partly integer mathematical programming problems
p. 1189-1193
A method of information transmission in multi-step two-person games
p. 1194-1203
The urgency of equilibrium in finite integral games
p. 1204-1212
Iterative methods for the solution of the systems of equations of the finite element method
p. 1213-1233
Diffraction of waves by a grid of circular cylinders with longitudinal slits
p. 1234-1247
Calculation of magnetohydrodynamic problems taking into account the phase transition
p. 1248-1255
Asymptotic analysis of the flows of viscous compressible fluids at low mach numbers. II. The case of rotating heavy fluids
p. 1256-1266
A parametric family of statistical recognition algorithms
p. 1267-1277
The complexity of languages of type $\cup\mathrm M$
p. 1278-1284
Selection of the optimal algorithm in a class of recognition
p. 1285-1295
Optimal bounding of matrices for the Strassen algorithm
p. 1296-1298
The lower bound of the number of multiplication operations for calculating the product of Hankel matrices
p. 1298-1301
Acceleration of the convergence of iterative processes and a method of solving systems of non-linear equations
p. 1302-1308
Estimates of some functionals of the solution of an integral equation of the first kind
p. 1309-1311
A method of constructing sets of attainability for linear control systems with phase constraints
p. 1311-1315
Convergence of the collocation method for nonlinear boundary value problems
p. 1315-1320
A completely conservative difference scheme for gas-dynamic equations
p. 1320-1324
Effect of the initial particle velocity on the non-stationary spherically-symmetric motions of a gas
p. 1325-1329
Applied and computational complex analysis. Vol. 1. Power series, integration, conformal mapping, location of zeros: Henrici P. xv + 682 pp., John Wiley and Sons, Inc., New York–London, 1974. Book review
p. 1330-1331

Sommaire du Fascicule no. 6

Seventieth birthday of Dmitrii Konstantinovich Faddeev
p. 1339-1340
Estimating the accuracy of the solution of ill-posed problems, and the solving systems of linear algebraic equations
p. 1341-1349
Methods for the solution of monotone variational inequalities that are based on the principle of iterative regularization
p. 1350-1362
The error in the statistical estimation of multiple integrals using the $\omega ^{2}$-test
p. 1363-1373
Local estimates in the Monte Carlo method
p. 1374-1379
A numerical method for the solution of a linear time-optimality problem by reducing it to a Cauchy problem
p. 1380-1386
Some minimization methods in the presence of constraints in Hilbert space
p. 1387-1395
Convergence of an iterative method for solving linear programming problems
p. 1396-1407
On the regularization of minimax problems that arise in convex programming
p. 1408-1420
Convergence rate of the game processes for solving matrix games
p. 1421-1431
The finite difference eigenvalue problem for fourth-order elliptic operator
p. 1432-1442
The choice of coordinate functions in projection-difference methods
p. 1443-1457
A study of the method of nets for parabolic equations with
p. 1458-1473
The construction of a difference scheme for systems of equations of the method of spherical harmonics
p. 1474-1481
A strict solution of the problem of a circular waveguide with a step discontinuity
p. 1482-1493
Calculation of quantum-mechanical scattering by the selected domain method
p. 1494-1507
Determination of the trajectory of the motion of a pulse in the inverse problem for the wave equation
p. 1508-1522
A method for the numerical solution of problems of the dynamics of wave fields with singularities
p. 1523-1530
A modified “large particle” method for the calculation of nonstationary wave processes in multiphase dispersed media
p. 1531-1544
Calculation of the spatial supersonic flow of a viscous and heat conducting gas stream around blunt bodies
p. 1545-1555
A local algorithm of index $1$ for the construction of a sum of irredundant disjunctive normal forms for functions of $k$-valued logic
p. 1556-1563
Algorithms for the prediction of the states of control objects
p. 1564-1573
An algorithm for the multiplication of two quaternions
p. 1574-1575
An auxiliary algebraic problem
p. 1575-1578
The optimal regularization of operator equations with errors in the formulas for the operator and for the right-hand side
p. 1579-1583
A finite-difference method of solving the Cauchy problem for evolution equations
p. 1583-1587
Uniform asymptotic expansion of the Dirichlet integral
p. 1588-1592
A modification of the method of Hoàng Tuy for the minimization of a concave function on a polyhedron
p. 1592-1597
A penalty in discrete programming
p. 1597-1598
A numerical study of the problem of the diffraction of waves in a rotating basin
p. 1599-1602
An application of the splitting method to the calculation of two-temperature and ionized nonequilibrium gas flows
p. 1602-1607
An algorithm for determining the minimal spanning tree of an increasing graph
p. 1607-1610
Introduction to special functions: D. S. Mitrinović and R. R. Janić. xvi + 231p., Gradevinska Knjiga, Beograd, 1975. Book review
Collective choice and social welfare: A. K. Sen. xii + 255 p. Holden-Day Inc., San Francisco; Oliver Boyd, Edinburgh, London, 1970. Book review
p. 1612-1613
The principles of nomography: G. S. Khovanskii, 352 p. “Nauka”, Moscow, 1976. Book review
p. 1614-1615