Geodesic

Sommaire du Fascicule no. 1

Algorithms optimal with respect to accuracy for the approximate solutions of operator equations of the first kind
p. 3-11
Regularizing algorithms
p. 12-18
The stability of projection methods in the solution of ill-posed problems
p. 19-29
The iteration method of parameter variation for the inversion of linear operations
p. 30-47
Values of the nodes and weights of quadrature formulas of Gauss–Markov type for a sphere from the ninth to seventeenth order of accuracy that are invariant with respect to an octahedron group with inversion
p. 48-54
Some linear problems of optimal control theory with phase constraints
p. 55-66
A numerical method for constructing sets of attainability for linear controlled systems with phase constraints
p. 67-78
The stability of the problem of determining a multiple maximin
p. 79-86
The convergence of the difference method in the problem of periodic solutions of ordinary differential equations
p. 87-100
An application of the method of Ljapunov functions to the study of the convergence of numerical methods
p. 101-112
A certain class of schemes for equations of parabolic type
p. 113-125
The short-wave asymptotic behaviour of the scattering diagram and total scattering cross-section of a smooth convex cylinder
p. 126-135
Existence in the large of a weak solution of Vlasov's system of equations
p. 136-147
An approximate method for the solution of mixed boundary value problems in the theory of moment-free elastic spherical shells
p. 148-162
Check of two methods of calculating radiative transfer
p. 163-171
Solution by an iterative method of stationary problems of the kinetic theory of gases at moderate and low knudsen numbers
p. 172-182
Calculation of the steady flow of a viscous fluid past a circular cylinder
p. 183-196
Use of the splitting method to solve problems of the dynamics of a viscous incompressible fluid
p. 197-207
Determination of a seismic section by the wave reflection method
p. 208-216
Application of L. N. Sretenskii's method to a problem of the theory of waves in channels
p. 217-226
The connection between two multiplication algorithms
p. 227-231
A representation of Cauchy type integrals with power singularity by means of special functions
p. 231-234
A certain cubature formula for a four-dimensional ball
p. 234-236
A way of constructing cubature formulae for the disc
p. 236-241
On the processing of two-dimensional signals on an electronic computer
p. 241-248
The additive problem of nonlinear programming
p. 248-251
A certain version of the full sweep method for systems with coupled boundary conditions
p. 251-254
A property of a scheme of higher order of accuracy for the one-dimensional wave equation
p. 254-260
The solution of a certain nonlinear integrodifferential equation
p. 260-262
Difference schemes for the direct Kolmogorov equation
p. 263-266
Calculation of the flow of a rarefied gas past a cylinder
p. 266-269
S. С. Rirsch. Essentials of FORTRAN IV. Reston, Virginia, Reston Publ. Co., Inc., Prentice-Hall Co., 1973,
p. 270-271
М. Е. Drummond, М. N. Wayne. American National Standard COBOL for the System 360-370. Belmont, Calif., Wadsworth Publ. Co., 1973, X+393 pp. Book review
p. 271-272

Sommaire du Fascicule no. 2

Regularization of nonlinear equations with monotone operators
p. 283-289
The applicability of the principle of the residual in the case of nonlinear ill-posed problems, and a new regularizing algorithm for their solution
p. 290-297
The regularization of integral equations of the first kind of convolution type
p. 298-304
The criterion for the choice of a regularization parameter that is based on the computation of the sensitivity function
p. 305-320
A certain algorithm for the planning of minimal time transfers
p. 321-329
Multicriterion problems with homogeneous equivalent criteria
p. 330-344
The solution of a certain optimal problem of Stefan type
p. 345-357
The solvability of positional games in pure strategies
p. 358-371
Variational-difference schemes on a regular network for the biharmonic equation
p. 372-383
Combining difference algorithms with the Monte Carlo method
p. 384-390
On the probability of neutron absorption in plane and spherical blocks
p. 391-403
The convergence and stability of Rothe's method for the solution of the nonstationary system of equations of reactor kinetics
p. 404-411
Some approximate methods of radiation transfer theory
p. 412-428
Difference schemes for the computation of three-frequency interactions of quasimonochromatic waves with allowance made for diffraction
p. 429-435
The method of a sequence of nets for free convection problems
p. 436-445
Application of the method of integral relations to the solution of a singular equation of parabolic type in boundary layer theory
p. 446-456
Eingangssprache eines Schritt-Translators von FORTRAN
p. 457-467
An algorithm for finding the optimal path on a network with prohibitions
p. 468-476
The decomposition of a certain type of structures into chains
p. 477-488
The computation of pseudoinverse matrices
p. 489-492
A combined method of determining the roots of a polynomial
p. 492-496
Associated legendre functions of arbitrary complex degree
p. 496-501
The construction of attainability sets for a minimal-time problem
p. 501-505
Necessary conditions for optimality in a game with transfer of information
p. 505-508
Increasing the accuracy of integration of a certain system of differential equations
p. 509-512
Convergent iteration processes for the solution of certain nonlinear integrodifferential equations
p. 513-518
Calculation of one-dimensional quantum mechanical scattering
p. 518-521
Construction of iterative processes using implicit three-dimensional schemes of the method of characteristics
p. 521-523
A method of introducing “pseudoviscosity” and its use for improving the difference solutions of hydrodynamic equations
p. 523-527
Implicit high-accuracy finite-difference schemes for the “shock capturing” calculation of discontinuous
p. 527-531
The possibility of the preferential radiative heating of internal regions of a substance
p. 532-534
Chislennye melody, I. (Numerical methods. I.): N. S. Bakhvalov, Nauka, Moscow, 1973. Book Review
Numerische Behandlung von Eigenwertaufgaben: L. Collatz and K. P. Hadeler (Editors). 142 p. Birkhauser Verlag, Basel-Stuttgart, 1974. Book Review

Sommaire du Fascicule no. 3

Iteration processes for the solution of a certain class of incompatible systems of linear algebraic equations
p. 547-558
Numerical statistical algorithms for finding the quasi-solutions of conditional systems of linear algebraic equations
p. 559-572
The approximate solution of a class of equations in convolutions by means of splines
p. 573-591
The continuous method of solving minimax problems
p. 592-598
The method of the exterior point in the problem of determining a multiple maximin with constraints
p. 599-607
Numerical methods in game theory
p. 608-614
Numerical methods for the solution of linear multistep games
p. 615-626
On the numerical integration of a system of linear equations with a small imaginary parameter multiplying the derivative
p. 627-634
The construction of stable difference schemes for second order linear differential operators of indefinite sign
p. 635-643
A certain approximation of mixed derivatives
p. 644-660
Two-layer parabolic and weakly parabolic difference schemes
p. 661-671
A constructive method, based on factorization, for solving boundary value problems of diffraction at bodies of finite size
p. 672-681
Transonic flows of a radiating gas in channels
p. 682-694
Solution of the Cauchy problem for a plane one-dimensional isentropic flow of gas in a constant gravitational field
p. 695-701
Solution of the self-similar problem of the outflow of a gas into a vacuum in the two-temperature hydrodynamic approximation
p. 702-712
Precedence analysis and context conditions
p. 713-727
Implementation of the incremental Fortran compiler
p. 728-736
The time of existence of configurations in homogeneous structures
p. 737-748
Comparison of test recognition algorithms
p. 749-756
An algorithm for the classification of sequential processes with distribution of decision making according to a certain hierarchy
p. 757-767
Interpolation formulas for Fermi–Dirac functions
p. 768-771
An algorithm for simplified regularization
p. 772-775
The iterative solution of second order differential equations with monotone nonlinearities
p. 776-779
A certain method of solving exterior boundary value problems for second order elliptic equations
p. 779-781
Asymptotic behaviour of the solution of the wave equation with a piecewise-discontinuous coefficient
p. 782-785
A numerical method for the solution of the Stokes problem
p. 786-789
A certain class of games with nonconflicting interests
p. 789-795
A certain game with an “inert” partner
p. 795-799
Calculation of a hydrodynamic cumulation
p. 800-802
Evaluation of the information of functional indicators and combinations of them in the course of treatment
p. 803-806
First All-Union School of young scientists “Numerical Methods of Solving Problems of Mathematical Physics”

Sommaire du Fascicule no. 4

Properties of the error functional $\Delta(f,R,\delta,x)$ as a function of $x$ with fixed $\delta$. I
p. 815-829
On the identification of non-linear operators
p. 830-843
The rate of convergence of the method of steepest descent in the problem of conditional minimization
p. 844-859
$F$-Convex functions, their properties and applications to the solution of extremal problems
p. 860-868
The averaging method in optimal control problems
p. 869-882
The method of an interior point in the problem of determining a multiple maximin with constraints
p. 883-894
On a mesh method for estimating the efficiency of strategies based on partial information about the conditions of the operation
p. 895-907
Stabilization of controlled motions on a finite time interval
p. 908-922
A method for solving non-linear boundary value problems describing the minority carrier distribution in the base of a semiconductor structure
p. 923-930
A new method for constructing stable finite-difference schemes of any previously assigned order of approximation for linear ordinary differential equations
p. 931-945
Solution of the wave equation in a domain with moving boundaries by Galerkin's method
p. 946-956
Galerkin's method for diffusion equations
p. 957-965
Absolute stability of difference schemes with a split operator for systems of parabolic and hyperbolic equations in convex regions
p. 966-976
Numerical solution of systems of difference equations in the theory of filtering
p. 977-984
A self-similar strong explosion with a weak radiative effect
p. 985-998
A certain numerical scheme for the transport equation on an opaque net
p. 999-1005
An extension of Knuth's algorithm for parsing context-free languages
p. 1006-1019
Solution of a certain classification problem by the method of computing the estimates
p. 1020-1030
The convergence of the Jacobi and Gauss–Seidel iteration methods
p. 1031-1035
The rational component of the solution of a first order linear recurrence relation with rational right hand side
p. 1035-1039
A method of finding the global minimum of a function of one variable
p. 1040-1042
The incorrectness of optimal control problems and the regularization of the numerical solution
p. 1043-1047
On the computation of the optimal programmed control in a certain problem with distributed parameters
p. 1047-1053
The approximate solution of a Volterra equation of the first kind
p. 1053-1056
Net schemes for the Navier–Stokes equations associated with projection
p. 1056-1061
Asymptotic behaviour of the energy emitted by an almost periodic source of oscillations
p. 1062-1066
The estimation of the rate of convergence of a certain difference
p. 1066-1069
Interaction between a shock wave in water and a ring diaphragm
p. 1069-1072
A method of numerical integration for stationary problems of transport theory
p. 1072-1077
A certain algorithm for the enumeration of the simple chains in a graph
p. 1077-1079
Algorithmus zur Ermittlung der maximalen oberen Nullstelle einer beliebigen Funktion der Logikalgebra
p. 1080-1082
F. Topsøе. Informationstheorie. Stuttgart, В. G. Teubner, 1974, 88 S. Book review
Einführung in die algebra: G. Fischer and R. Sacher. 238 p. B. G. Teubner, Stuttgart, 1974. Book review
Introduction to control theory: O. L. R. Jacobs. xii+365 p. Clarendon Press; University Press, Oxford, 1974. Book review

Sommaire du Fascicule no. 5

The connection between the fast transform algorithms of Fourier and Hadamard and the algorithms of Karacuba, Strassen and Winograd
p. 1095-1105
Transformation of an irreducible non-negative matrix to a quasistochastic matrix by the method of similarity transformations
p. 1106-1112
Sensitivity of linear time-optimalities to weak phase constraints
p. 1113-1125
Optimization problems with an ordered set of constraints
p. 1126-1137
Necessary and sufficient conditions for the existence of the value of a game
p. 1138-1147
A three-person game with a fixed sequence of moves
p. 1148-1156
The optimality of singular controls in Goursat–Darboux systems
p. 1157-1167
The convergence of the Rothe scheme for certain nonlinear evolution equations
p. 1168-1182
On weakly parabolic two-layer schemes in some classes of non-uniform mesh
p. 1183-1194
The statistical particles-in-cells method for solving rarefied gas dynamics problems
p. 1195-1208
The mathematical properties of $S_n$-methods for the solution of kinetic equations
p. 1209-1221
Solution of two- and three-dimensional problems of transonic flow over bodies
p. 1222-1240
Analysis of the steady state of an electron ring in an external magnetic field
p. 1241-1247
Certain asymptotic problems of the theory of electron transport
p. 1248-1261
A certain numerical method in the spectral analysis of harmonic oscillations of a crystal lattice
p. 1262-1275
The correctness of boundary value problems in the theory of momentless thin elastic shells of positive curvature and their solution by the mesh method
p. 1276-1288
Total precedence languages and ELR(1)-languages
p. 1289-1297
Stability of the traveling salesman problem
p. 1298-1309
Certain asymptotic estimates of the optimal error for convolution type integral equations of the first kind
p. 1310-1317
A certain method for the regularization of Volterra equations of the first kind
p. 1317-1323
Error estimation of the numerical solution of a nonlinear integral equation
p. 1323-1329
Rigorous estimates of the rate of convergence of the iteration method for the computation of eigenvalues
p. 1330-1333
The stability of difference boundary value problems with oblique characteristics of constant sign
p. 1333-1339
A difference scheme for Stefan's problem
p. 1339-1344
Existence and uniqueness of the classical solution of Vlasov's system of equations
p. 1344-1349
A numerical method of computing the three-dimensional flow past blunt bodies with a detached shock wave
p. 1349-1355
Second all-union symposium on mathematical methods in chemistry
Theorems and problems of the theory of probability: P. M. Vasić vii+127 p. Gradevinska knjiga, Beograd, 1974. Book review
Lectures on series: D. S. Mitrinović vii+119 p. Gradevinska Knjiga, Beograd, 1974. Book review

Sommaire du Fascicule no. 6

On the occasion of the 75th birthday of Mihail Alekseevich Lavrent'ev
p. 1367-1368
Asymptotic error estimates. II
p. 1369-1380
The regularization of systems of linear integral equations of the first kind of convolution type
p. 1381-1388
Delta-methods for the numerical inversion of the Laplace transform, and their convergence
p. 1389-1398
The method of penalty functions in problems of large dimension
p. 1399-1411
On the question of the stability of a linear programming problem
p. 1412-1423
A decomposition principle and the method of reducing residuals for linear dynamic programming problems
p. 1424-1435
A parametric method in the problem of quadratic programming with a degenerate quadratic form
p. 1436-1446
Convergence of the local collocation method for ordinary differential equations
p. 1447-1456
The difference method of solving the third boundary value problem for a differential equation with a small parameter multiplying the highest derivative
p. 1457-1465
The use of difference schemes for the solution of the Laplace equation with discontinuous boundary conditions of the first kind
p. 1466-1481
The method of characteristics for the numerical solution of multidimensional boundary value problems
p. 1482-1491
Kinetic analysis of difference schemes for gas dynamics
p. 1492-1498
Application of a certain class of quasi-conformal mappings to the construction of difference grids in domains with curvilinear boundaries
p. 1499-1511
Diffraction of Kelvin waves by a semi-infinite wall in a semi-bounded basin
p. 1512-1524
Analysis of the diffraction of a shock wave at a curvilinear surface
p. 1525-1534
A complete system of equations in divergence form for the dynamics of an ideal gas
p. 1535-1544
Continuous shock waves in an ideal radiating gas
p. 1545-1552
The statistical method of particles in cells for the solution of problems of the dynamics of a rarefied gas. II. Computational aspects of the method
p. 1553-1567
A certain class of systems of Boolean equations
p. 1568-1579
An upper bound for the magnitudes of the characteristic numbers of a real matrix of general form
p. 1580-1582
Finitely convergent recurrence algorithms for the solution of objective inequalities in the presence of constraints
p. 1582-1588
Čakalov's theorem
p. 1589-1593
The choice of parameters in convergence theorems for a certain approximation analogue of Newton's method
p. 1594-1597
Equilibrium situations in noncooperative games with constraints
p. 1597-1601
A boundary layer in solutions of nonlinear regularly perturbed Volterra integral equations
p. 1602-1607
Application of the regularization method to solve an inverse problem of non-linear heat-conduction theory
p. 1607-1611
Lectures on minimal surfaces: J. C. C. Nitsche. XIII+775 p. Springer, Berlin, 1975. Book review
Elements of mathematical analysis: D. Mihailovic and R. R. Janic. Fourth revised edition. xii+362 p. Naucna Knjiga, Beograd, 1974. Book review