Geodesic

Sommaire du Fascicule no. 1

Estimates for the convergence of iteration methods of minimization
p. 3-14
Finite difference approximation of linear ill-posed problems
p. 15-24
An iteration method for the solution of ill-posed problems
p. 25-35
Pseudo-random numbers for constructing discrete Markov chains by the Monte Carlo method
p. 36-44
The extremal field method in sufficient conditions for optimality
p. 45-67
Numerical solution of problems of optimal correction under random perturbations
p. 68-78
A numerical method for the optimal choice of discrete measurements
p. 79-87
The existence of $\varepsilon$-equilibrium situations in dynamical games with dependent motions
p. 88-98
Two economical methods for the numerical integration of ordinary differential equations, using a displaced grid
p. 99-112
A difference method of projection type for the solution of a mixed problem for symmetric hyperbolic systems
p. 113-125
Solution of certain problems for the Poisson equation with boundary conditions of the fourth kind
p. 126-134
The synthesis of multilayer coverings
p. 135-144
On the justification of short-wave approximations in the problem of the diffraction of waves by a plane screen
p. 145-156
Diffraction by a polyhedral angle of a spherical wave glancing along an edge
p. 157-165
Convergence of the method of spherical harmonics for the non-stationary transport equation
p. 166-178
Numerical solution of the problem of the “lateral” interaction of underexpanded supersonic jets of an ideal gas with a plane and with one another
p. 179-187
The two-dimensional problem of the expansion of a gas into a vacuum at arbitrary Knudsen numbers
p. 188-197
Concerning the functional system $\mathscr P_\Sigma$
p. 198-208
Some nondegeneracy tests for irreducible matrices
p. 209-214
The stationary phase method for nondifferentiable functions
p. 214-218
Acceleration of the convergence of the method of steepest descent in Hilbert space
p. 218-221
The approximation of quasisolutions of certain integral equations of the first kind
p. 222-230
Iteration processes of higher orders
p. 230-233
On necessary conditions in minimax problems of control
p. 233-236
Application of the averaging method to a system of differential equations
p. 237-240
Determination of the parameters of spatial orientation of a moving object
p. 240-246
The simulation of the third boundary value problem for multidimensional parabolic equations in an arbitrary domain by one-dimensional equations
p. 246-250
An example of a difference boundary value problem with instability of logarithmic type
p. 250-253
The stable iteration methods for the solution of problems of Neumann type
p. 254-259
Application of random walk processes to simulate the free-molecular motion of a gas
p. 259-262
PL/I programming for engineering and science: D. S. Stoutemyer. XV + 363 p. Prentice-Hall, Englewood Cliffs, N. J., 1971. Book review
On the paper “The method of quasi-stationary concentrations for the equations of chemical kinetics”

Sommaire du Fascicule no. 2

Great traditions
p. 275-277
Minimization of functions of several variables by derivative-free methods of the Newton type
p. 278-291
Estimation of the error of the solution of linear problems when there are inaccuracies in the operators and in the right-hand sides of the equations
p. 292-298
The stationary phase method as applied to integrals that depend on a parameter (nonanalytic case)
p. 299-311
Equilibrium points in meta-games
p. 312-320
An application of the cutting plane method to the solution of finite integral games
p. 321-330
Determination of the maximum for certain functionals that characterize the allocation of resources
p. 331-341
Asymptotic behavior of the eigenvalues of the first boundary value problem for an ordinary differential equation on a long interval
p. 342-349
Numerical investigation of stability on a finite time interval
p. 350-364
The asymptotic behavior of the eigenoscillations of an elliptic membrane
p. 365-378
The construction of multidimensional difference schemes of third order accuracy
p. 379-389
The accuracy of difference schemes approximating the wave equation that have piecewise smooth solutions
p. 390-401
The parabolicity of difference schemes
p. 402-417
A synthetic model for moderation and for the approximation of cross sections
p. 418-435
A model system in the asymptotic theory of streamlining of bodies of revolution by a sonic flow of a real gas
p. 436-449
The decidability of the membership problem in a data processing language for geometry
p. 450-460
Covers and joins of the vertices of a graph by edges
p. 461-469
The best local algorithm, for the construction of the sum of the disjunctive normal forms of a Boolean function, that uses neighborhoods of minimal order
p. 470-478
The application of a class of regularizing algorithms to the solution of integral equations of the first kind of the convolution type in Banach space
p. 479-483
A certain algorithm for the pseudoinversion of matrices
p. 483-487
A certain approximate method for the inversion of the Laplace transform of functions of several variables
p. 487-489
The error of the Monte Carlo method for evaluating multiple integrals
p. 489-493
Improvement of the accuracy of the Runge–Kutta method
p. 493-495
An investigation of the difference Green's function for a wave system with three space variables
p. 495-499
A numerical algorithm for solving the problem of diffraction by a locally inhomogeneous body
p. 499-504
Diffraction by a half-plane of surface waves in a viscous fluid
p. 505-509
The scattering of waves excited by localized sources, by an inhomogeneous body
p. 509-512
A numerical method of solving the Navier–Stokes equations
p. 512-520
The existence of precedence functions for phrase structure grammars
p. 520-522
On the article: “The existence of solutions of certain equations that contain monotone discontinuous transformations”
p. 523-524
Control of computational processes. vol I: M. B. Ignat'ev, Ed. 296 p. Izd-vo Leningr. un-ta, Leningrad, 1973. Book review
p. 524-527
Programmierung in PL/I: H. Schock. 471 p. B. G. Teubner, Leipzig, 1972. Book review
Data structures. Theory and practice: A. T. Berztiss. XIII + 442 p. Acad. Press, New York–London, 1971. Book review
p. 527-528

Sommaire du Fascicule no. 3

On the solution of linear algebraic systems
p. 539-559
Regularizability almost everywhere
p. 560-571
Discretely compact sequences
p. 572-583
Estimation of error in the solution of ill-posed problems
p. 584-597
A certain class of minimization algorithms with superlinear convergence
p. 598-609
The well-posedness of a certain class of convolution equations
p. 610-630
Approximate evaluation of Cauchy type integrals and singular integrals with logarithmic singularities
p. 631-638
The differential properties of minimum functions
p. 639-651
The approximate solution of variational problems
p. 652-668
Some local properties of minimax problems
p. 669-679
The problem of predicting the phase state of continuous linear systems
p. 680-690
Application of the collocation method and the difference method to the determination of the autooscillations of differential-difference equations
p. 691-698
An effective method for the construction of the Green's function for a second order elliptic equation
p. 699-704
Analysis of the equation of neutron transport under conditions of an infinite energy axis
p. 705-716
The non-linear acoustics of a radiating gas. III. The exponential approximation
p. 717-727
Use of the fundamental solutions of elliptic equations for constructing Monte Carlo algorithms
p. 728-736
An algorithm for the reduction of finite undirected graphs to canonical form
p. 737-743
Conditionally majorant local algorithms with arbitrary memory for problems of the synthesis of minimal coverings
p. 744-755
The optimization of a certain class of recognition algorithms
p. 756-767
On a numerical method for solving linear systems of equations with tridiagonal matrix
p. 768-771
Formulae for the computation of the semi-inverse and pseudo-inverse matrices
p. 772-776
Analysis of error in probabilistic round-off
p. 776-778
A certain method for the solution of extremal problems with constraints on the phase coordinates
p. 779-783
Convergence of the method of nets in a certain problem of game theory
p. 783-785
An algorithm for the approximate solution of non-linear boundary-value problems
p. 785-789
A monotonic difference scheme of second-order accuracy
p. 789-792
Completely conservative difference schemes for two-dimensional magnetohydrodynamic equations
p. 792-797
A method of calculating the potential flow of an incompressible fluid around a solid revolution
p. 797-802
The method of discrete ordinates in the dynamics of the axisymmetric flow of a radiating gas
p. 803-806
All-Union School of Young Scientists “Methods of solving incorrect problems and their application”
A book of splines. A. Sard and S. Weintraub. xi + 817 p. John Wiley and Sons, Inc., New York–London–Sydney–Toronto, 1971. Book review
Computer organization and microprogramming. Y. Chu. xx + 533 p. Prentice-Hall, Inc., Englewood Cliffs, N. J., 1972. Book review

Sommaire du Fascicule no. 4

An optimality principle for the error when solving approximately equations with non-linear operators
p. 819-827
The convergence of approximate methods for the solution of linear and nonlinear operator equations
p. 828-837
Asymptotic estimates of the accuracy of optimal solutions of an equation of convolution type
p. 838-851
Theory of optimal control in an infinite time interval
p. 852-861
The group properties of controlled dynamic systems and phase organizational structures. I: Groups characterizing dynamic systems
p. 862-872
Computation of lower bounds for the eigenvalues of certain ordinary differential equations by the Bazley–Fox method
p. 873-890
The nature of the propagation of perturbations in problems of nonlinear heat conduction with absorption
p. 891-905
The solution of elliptic equations with discontinuous coefficients on a regular mesh
p. 906-918
A comparative study of difference schemes for the equations of acoustics
p. 919-927
Asymptotic characteristics of the solution of the transport equation in the problem of an inhomogeneous layer
p. 928-946
Application of an iteration method to the investigation of plane waveguides with inhomogeneous filling
p. 947-954
Computation of a conical body that is subject to the action of a load concentrated at the vertex
p. 955-969
Solution of axisymmetric problems of rarefied gas theory by a finite-difference method
p. 970-981
The continuous dependence on the initial conditions of generalized solutions of the system of equations of gas dynamics
p. 982-991
The hypersonic flow of a radiating gas over blunt bodies
p. 992-1003
The formalization of certain context conditions for programming languages
p. 1004-1015
The problem of finding the initial approximation for Newton's method
p. 1016-1018
The search for the minimum of a function with bounded second derivative
p. 1018-1021
The regularization of ill-posed problems with approximately given operator
p. 1022-1027
Projection methods for solving linear incorrect equations
p. 1027-1031
A certain method for the approximate construction of the solution of integral equations
p. 1031-1033
Computation of certain characteristics of stationary random processes
p. 1034-1040
A variational method in phase space
p. 1040-1043
A certain application of the theory of games with nonconflicting interests
p. 1043-1046
Multistep two-person games with a fixed sequence of moves
p. 1047-1052
An approximate algorithm for the solution of a linear programming problem
p. 1052-1058
Difference schemes for computations of three-frequency interactions of electromagnetic waves in a nonlinear medium with quadratic polarization
p. 1058-1062
A method for the study of problems of the diffraction of waves by a periodic lattice
p. 1063-1067
Solution of linear finite-difference equations with constant coefficients in the field of rational functions
p. 1067-1070
Orthogonale polynome. G. Freud. 294 p. Birkhäuser Verl., Basel–Stuttgart, 1969. Book review
p. 1071-1072
Fonctions spéciales à l'usage des étudiants en physiques. Maitrise de physique. Y. Ayant, M. Borg. x + 266 p. Dunod, Paris, 1971. Book review

Sommaire du Fascicule no. 5

Estimations of the error distribution laws of the solutions of systems of linear algebraic and ordinary differential equations
p. 1083-1092
The group properties of controlled dynamic systems and phase organizational structures. II. Phase organizational structures
p. 1093-1103
Invariance in linear abstract processes
p. 1104-1117
Expansion of extremal values of game problems with respect to a parameter
p. 1118-1130
The linear time optimal problem with a small parameter
p. 1131-1137
Iterative methods for the solution of minimax problems
p. 1138-1149
Incomplete strategy information in two-person games with cautious behavior
p. 1150-1160
Game-theoretic analysis of a two-level hierarchic control system
p. 1161-1170
Deduction and justification of equations in slow time (stroboscopic method)
p. 1171-1211
A certain numerical method of testing hypotheses on the structure of the solutions of differential equations
p. 1212-1220
The iterative solution of nonlinear boundary value problems that separate small solutions of certain systems of ordinary differential equations with a singularity
p. 1221-1231
Diffraction of a plane wave by a sphere with a circular orifice
p. 1232-1243
A certain boundary value problem for the linearized axially symmetric viscous transonic equation
p. 1244-1260
Asymptotic estimates for the cavitational flow of a jet of finite width past a wedge
p. 1261-1271
The use of boring data to reconstruct the shape of a contact by the regularization method
p. 1272-1280
Numerical solution of the spherical explosion problem allowing for back pressure
p. 1281-1291
The problem of recognition under time constraints
p. 1292-1308
An economical algorithm for separating blocks in a graph
p. 1309-1316
Certain numerical methods for the calculation of electrical networks
p. 1317-1323
A multistep two person game with a “cautious” second player and successive information transmission
p. 1323-1327
The $N$-kernel in cooperative games without side payments
p. 1327-1331
A certain mixed boundary value problem for a harmonic function in a half-space
p. 1332-1335
The effect of selectivity of radiation on the heating of a gas in a cylindrical channel
p. 1336-1339
Temperature waves in moving media
p. 1340-1344
A method of reaction to a syntactical error in a syntactically oriented translator
p. 1345-1349
The determination of certain relations on operator schemes
p. 1350-1352
A certain approach to the computation of the informative weights of features
p. 1353-1357
A. A. Samarskii, A. V. Gulin. Ustoichivost' raznostnykh skhem. (Stability of difference schemes). 415 p. “Nauka”, Editor-in-chief of phys.-mat. lit., Moscow, 1973. (Book review)
p. 1358-1359
Recent developments in mathematical physics. Ed. P. Urban. Wien–New York, Springer, 1973, VI+610 pp. (Book review)
p. 1359-1360
Corrections: “An iteration method for the solution of ill-posed problems”

Sommaire du Fascicule no. 6

The numerical computation of three-term recurrence relations and the tridiagonal system of linear equations by the method of shooting
p. 1371-1377
The escalator method of determining the eigenvalues and eigenvectors of Hermitian matrices, and the successive introduction of vectors into the principle basis
p. 1378-1385
Estimation of the regularization parameter in nonlinear problems
p. 1386-1392
The rate of convergence of approximation methods for an eigenvalue problem in which the parameter occurs nonlinearly
p. 1393-1408
The direct and the adjoint von Neumann–Ulam scheme for the solution of nonlinear integral equations
p. 1409-1415
The problem of evading contact in differential games
p. 1416-1426
A linear differential evasion game with integral constraints on the controls
p. 1427-1436
Side payments in games with a fixed sequence of moves
p. 1437-1450
Multi-step linear extrapolation in the method of penalty functions
p. 1451-1463
An approximation-combinatorial method, and some of of its applications
p. 1464-1487
Stability conditions for three-layer difference schemes for the non-stationary Schrödinger equation
p. 1488-1498
Spectral characteristics of difference schemes, and conditions for the numerical simulation of limiting flow regimes of a viscous fluid
p. 1499-1515
A study of the convergence of difference schemes in the norm $W^{(2)}_2$ for quasilinear elliptic equations
p. 1516-1525
The discrete spectrum of the characteristic equation of transport theory
p. 1526-1543
An explosion along the boundary of separation between two media
p. 1544-1552
The hypersonic flow of a viscous radiating gas about blunt bodies
p. 1553-1570
Some geometrical problems involved in estimating the accuracy of a class of recognition algorithms
p. 1571-1580
A certain approach to the investigation of the convergence of relaxation minimization processes
p. 1581-1585
An algorithm for computing the Poisson distribution function
p. 1586-1588
Integral formulas for the representation of the solution of a wave system
p. 1589-1593
A closed solution of an integral equation that arises in the technology of magnetic sound recording
p. 1593-1595
Об одном подходе к расчету селективного излучения
p. 1595-1600
A detached shock wave in front of a wedge or cone
p. 1600-1605
A mobile programming system
p. 1605-1610
A certain algorithm for computing estimates
p. 1610-1615
Scientific information on the fourth all-union conference on the use of Monte Carlo methods in computational mathematics and mathematical physics
p. 1616-1617
Functional-analytic concepts and structures of neutron transport theory. M. Ribaric, Vol. I, II. xxx + 1103 p. Slovene Acad. Sci. and Arts, Ljubljana, 1973. Book review
p. 1617-1618