Geodesic

Sommaire du Fascicule no. 1

The rate of convergence of the penalty function method
p. 3-11
A minimization method without the calculation of derivatives
p. 12-21
General error properties of the approximate solution of linear functional equations
p. 22-28
The convegence of regularizing algorithms
p. 29-35
The Newton–Kantorovich regularized computing processes
p. 36-43
The admissibility of random quadratures of Gaussian type
p. 44-50
The problems of optimal control for differential equations with discontinuous right hand sides
p. 51-64
On the theory of maximin problems
p. 65-78
One of the methods of solving time-optimal problems
p. 79-95
A construction by Chaplygin functions of a uniform approximation to the solution of a certain equation with a small parameter multiplying the derivative
p. 96-104
A finite difference method for solving the third boundary value problem for elliptic and parabolic equations in an arbitrary region. Iterative solution of finite difference equations. I
p. 105-120
On the numerical solution of some sets of differential equations for
p. 121-128
The solution of the one-speed neutron transport equation in multilayer plane and spherically symmetric systems
p. 129-136
Numerical simulation of linear magnetostatic fields
p. 137-143
Travelling waves in a nonlinear medium and the determination from them of properties of the medium
p. 144-151
A numerical method for solving the problem of electromagnetic coupling of cavities via a slot
p. 152-163
Uniform asymptotic behaviour of the field produced by plane wave reflection at a convex cylinder. I
p. 164-175
The uniqueness of the solution of certain inverse problems
p. 176-181
The nonstationary method of “large particles” for gas dynamic calculations
p. 182-207
On the uniform flow about finite bodies in transonic velocity range
p. 208-221
An algorithm for the numerical solution of the problem of the cylindric blast with counterpressure by the network method
p. 222-236
Numerical computation of a chemically non-equilibrium laminar boundary layer in an axially symmetric hypersonic jet at high air-braking temperature
p. 237-247
Operating above certain expressions
p. 248-257
An elementary proof of the theorem on the convex hull of the set of cycle matrices
p. 258-260
An effective numerical algorithm for constructing pseudosolutions
p. 260-262
The errors in the approximate computation of integrals of rapidly oscillating functions
p. 263-266
A certain inverse problem of diffraction on a periodic and doubly periodic lattice
p. 266-271
A construction of functional-invariant solutions of the Maxwell system
p. 271-274
The boundary conditions at the singular point for systems of linear ordinary differential equations
p. 275-278
Н. G. Gаrnir, М. de Wildе, J. Sсhmеts. Analyse fonctionelle. Théorie constructive des espaces lineaires à semi-normes. Т. 1. Théorie generale. Basel–Stuttgart, Birkhäuser Verl., 1968, X+562 p. (Book review)
Н. R. Schwartz, Н. Rutishauser, Е. Stiefel. Numerik symmetrischer Matrizen. Stuttgart, B. G. Teubner, 1968, 243 S. (Book review)
D. S. Mitrinovič. Kompleksna analiza. Beograd, Izdavačko Preduzeće Gadevinska Knjiga, 1967, 312+XII s. (Book review)
p. 280-281

Sommaire du Fascicule no. 2

The uniform approximation of a function of two variables that is given in tabular form by a product of functions of one variable
p. 289-303
A computational algorithm for optimally covering a plane region
p. 304-312
The minimization of a convex maximin function. I
p. 313-327
On approximate solution of the time-optimal problem in Banach spaces with constraints on the phase coordinates
p. 328-347
Approximate solution of variational problems with non-differentiable functionals
p. 348-364
A direct method in linear differential games with various constraints
p. 365-374
A numerical method of solution of minimax problems
p. 375-384
Difference schemes for the solution of the Dirichlet problem in an arbitrary domain for an elliptic equation with variable coefficients
p. 385-410
The oscillations that arise in numerical calculations of the discontinuous solutions of differential equations
p. 411-424
The order of choice of the iteration parameters in the cyclic Čebyšev iteration method
p. 425-438
A certain iterative method of solution of network elliptic problems
p. 439-448
Calculation of electric circuits in magnetohydrodynamic problems
p. 449-461
Theory of the high-entropy layer in hypersonic flows
p. 462-480
Gas dynamical effects that are connected with the unboundedness of the solutions of quasilinear systems
p. 481-490
The integration of the kinetic equation for diffused polyatomic gases
p. 491-497
Linguistic basis for the applications of an electronic computer
p. 498-504
An estimate for the regularization method for integral equations that are of second kind on the spectrum
p. 505-510
Differentiation of a maximin function
p. 510-514
A high-order accuracy scheme for the solution of the third boundary value problem for the equation $\Delta u-qu=-f$ in a rectangle
p. 515-517
An iterated scheme for the solution of a quasilinear heat equation
p. 518-520
Difference schemes with a splitting operator for systems of first order hyperbolic equations
p. 520-525
Certain properties of scattering by a non-monotone potential in the classical scattering problem
p. 525-528
Application of variational functionals with variable boundaries to the construction of approximate methods of solution of the neutron transport equation
p. 529-534
J. К. Hale. Ordinary differential equations. New York, a div. of John Wiley and Sons, Inc., Intersci. Publs, 1969, XVI+332 pp. (Book review)
p. 535-536

Sommaire du Fascicule no. 3

Spline theory and the problem of the stable computation of the values of an unbounded operator
p. 545-558
Asymptotic estimation of the error of approximate characteristic values of holomorphic Fredholm operator functions
p. 559-568
On the question of the stability of approximate methods of variational type
p. 569-579
On the approximation of extremal problems. I
p. 580-596
A certain test of optimality, and the associated iteration method for the solution of a time-optimal problem
p. 597-610
A certain way of forming coalitions
p. 611-622
Matrix games with forbidden situations
p. 623-631
Solution of network planning problems by reducing them to optimal control problems
p. 632-641
On the convergence of a locally one-dimensional scheme for solving the multidimensional equation of heat conduction on non-uniform meshes
p. 642-657
Convergence in $C$ inside the domain of difference schemes with a splitting operator for parabolic systems
p. 658-666
Solution by Green's mesh function of the first boundary value problem for the biharmonic equation in a half-strip
p. 667-676
A finite difference method for solving the third boundary value problem for elliptic and parabolic equations in an arbitrary region. Iterative solution of finite difference equations. II
p. 677-687
The dissipativity of V. S. Vladimirov's boundary conditions for a symmetric system of the method of spherical harmonics
p. 688-704
Asymptotic behavior of the solutions of problems of diffraction of long plane waves by periodic lattices and corrugated surfaces
p. 705-718
Diffraction of a plane electromagnetic wave by a circular cylinder with longitudinal slit
p. 719-737
Steady flow of a suspension with equal phase densities in a tube
p. 738-745
Discrete analog of the multiplicator theorem
p. 746-749
Acceleration of the convergence of the optimum gradient method
p. 749-752
On the problem of the minimization of smooth functionals by gradient methods
p. 752-758
The asymptotic representations of incomplete cylindrical functions
p. 758-761
Minimization of a convex maximin function. II
p. 761-766
A stochastic variant of the Adams method
p. 766-770
The convergence of quadrature difference methods for linear integro-differential equations
p. 770-776
Difference schemes on a selforganizing set of calculated points in two-dimensional simply connected domains of arbitrary form
p. 776-782
A computer method of computing ionization
p. 782-783
A check of a non-linear scheme for the Monte Carlo method
p. 783-785
Interaction between solid particles transported by a viscous incompressible fluid
p. 785-789
The use of constant density surfaces for generating multivariate random variables
p. 789-791
Apropos the paper of S. A. Piyavskii “A certain method of solving boundary value problems” (letter to the editors)
p. 792-793
A. Zulauf. The logical and set-theoretical foundations of mathematics. Part I. Edinburgh, Oliver and Boyd, 1969, VII+259 pp. (Book review)
A supplement to the Runge-Kutta method (letter to the editors)
Conference on the numerical solution of differential equations. Dundee, June 23–27, 1969. Berlin, Springer, 1969, VI+275 pp. (Book review)
D. Е. Knuth. The art of computer programming. Vol. 1. Fundamental algorithms. Reading (Mass.), Addison-Wesley, 1968, XXII+634 pp. (Book review)
p. 795-796
Abstrakte Räume und Approximation. Abhandlungen zur Tagung im Mathematischen Forschungsinstitut Oberwolfach, Schwarzwald, 18–27 Juli 1968. Hrsg. P. L. Butzer, B. Szökefalvi-Nagy. Basel–Stuttgart, Birkhäuser, 1969, 423 S. (Book review)
p. 796-798

Sommaire du Fascicule no. 4

An equation of continuous descent for the quadratic form of a semi-bounded operator on the unit sphere
p. 809-828
Solution of systems of non-linear equations
p. 829-836
The solution of a certain integral equation of convolution type with finite limits of integration
p. 837-854
Convergence of the methods of feasible directions in extremal problems
p. 855-869
On the approximation of extremal problems. II
p. 870-884
The maximum principle for differential inclusions (necessity)
p. 885-893
Optimality conditions in certain control problems with random actions
p. 894-909
Optimal strategies of the search for an extremum
p. 910-924
The pivotal condensation method for second-order systems
p. 925-933
On the stability of additive difference schemes with respect to boundary data
p. 934-947
Difference schemes for the second boundary value problem of elasticity theory in the case of domains with curvilinear boundaries
p. 948-959
The direct method for problems of diffraction on a local nonhomogeneous body
p. 960-968
Simplicial extensions of network functions and their application to the solution of problems of mathematical physics
p. 969-981
Wave resistance in supersonic ideal gas flow in nonlinear theory
p. 982-991
A computational problem solver
p. 992-1004
Syntactic analysis of languages that are generated by unambiguous precedence grammars
p. 1005-1013
On the optimality of linear methods for operator approximation in convex classes of functions
p. 1014-1018
The optimality of the discrepancy criterion in the problem of computing the values of unbounded operators
p. 1019-1024
Asymptotic representation of Lommel functions of two real variables
p. 1024-1026
Estimation of the effectiveness of a certain algorithm for finding the absolute minimum
p. 1026-1031
A certain iterative method of solution of a time-optimal problem
p. 1031-1037
A certain boundary value problem for an equation of parabolic type
p. 1038-1043
The stationary state of an electron ring in an external magnetic field
p. 1043-1047
Rate of convergence of the associated plane wave method in the computation of electron spectra
p. 1047-1050
A certain self similar solution of the equations of gas dynamics
p. 1051-1056
Calculation by the “coarse particle” method of the flow past a body of arbitrary shape
p. 1056-1063
Supersonic dissociating gas flow past a blunt body at a finite angle of attack
p. 1063-1071
The summation of rational functions
p. 1071-1075
Realization of an ALGOL-60 type language on the M-220 computer
p. 1075-1078
The algorithm for determining the shortest path in a network graph
p. 1078-1086
Iterationsverfahren. Numerische Mathematik. Approximationstheorie. Ed. L. Соllatz, G. Meinardus, H. Unger, H. Werner. Basel–Stuttgart, Birkhäuser Verlag, 1970, 257 S. (Book review)

Sommaire du Fascicule no. 5

The notion of regularizability for discontinuous mappings
p. 1097-1112
The construction of orthogonal projections of point sets that are determined by a system of inequalities
p. 1113-1126
Expansion of incomplete Lipschitz–Hankel integrals in series of Bessel functions
p. 1127-1138
Minimization of functions of a finite number of variables by means of certain second order methods
p. 1139-1149
The approximation of two-phase stochastic extremal problems
p. 1150-1165
Games with close interests
p. 1166-1179
A certain quantitative method of solving linear dynamic programming problems
p. 1180-1192
Passage of the solution of a system of equations with a small parameter multiplying the derivative to the solution of degenerate equations with branching points
p. 1193-1204
Effective estimation of the error of the network method of solution of boundary value problems for the Laplace and Poisson equations on a rectangle and on special triangles
p. 1205-1218
Difference schemes for the Poisson equation in polar, cylindrical and spherical coordinate systems
p. 1219-1228
An analogy between non-equilibrium and viscous inert flows at transonic velocities
p. 1229-1261
Calculation of steady supersonic gas flows with internal shock waves
p. 1262-1271
A system of equivalent transformations of expressions
p. 1272-1281
Optimal schemes of algorithms
p. 1282-1289
An inclusion theorem for eigenvalues of tridiagonal matrices
The convergence of the conjugate gradients
p. 1291-1294
Extension of the convergence region of Newton's method
p. 1294-1296
The solution of two-dimensional Fredholm integral equations of the first kind with a kernel that depends on the difference of the arguments
p. 1296-1301
Approximation by polygonal paths in a quadratic metric in the solution of integral equations of the first kind
p. 1301-1306
Approximation of quasi-solutions of Fredholm's equation of the first kind with a kernel of special form
p. 1307-1311
The compact approximation of normally solvable operators
p. 1312-1318
The optimization of methods of solution for ordinary differential equations with strongly oscillating solutions
p. 1318-1322
The use of energy integrals for estimating the accuracy of approximate eigenvalues
p. 1322-1326
Difference schemes for elliptic equations with special boundary conditions
p. 1326-1332
Numerical error estimates in the problem of diffraction on a lattice
p. 1333-1337
Calculation of self-similar three-dimensional laminar boundary layer equations by a quasilinear method
p. 1338-1344
A certain procedure for improving a taxonomy algorithm by means of recognition methods of ballot type
p. 1344-1347
D. S. Mitrinoviс̌. Analitičke nejednakosti. Beograd, Grad. knjiga, 1970, 395 s. (Book review)
J. Peil. Ein Verfahren zur nichtlinearen Approximation und seine Anwendungaufverschiedene naturwissenschaftliche, technische und medizinische Probleme. Leipzig, Johann Ambfosius Barth, 1970, 82 S. (Book review)
A. Monjallon. An introduction to modern mathematics. Edinburgh–London, Oliver and Boyd LTD; New York, Intersci, Publs. Inc., a div. John Willey Sons, Inc., 226 pp. (Book review)
I. Gumоwski, С. Mirа. Optimization in control theory and practice. London, Cambridge Univ. Press, 1968, VIII+242 pp., 65 sh. (Book review)

Sommaire du Fascicule no. 6

A network analogue of the imbedding theorem for classes of type $W$
p. 1361-1373
Hilfsmittel zur optimalen Eigenwerteinschliessung. Ein Pendant zum Rayleigh–Ritz–Verfahren
p. 1374-1389
A numerical method of search for the global extremum of functions (scan on a nonuniform net)
p. 1390-1403
Distribution of the scalar resource on a directed graph
p. 1404-1414
Asymptotic behavior of the solution of a system of equations with a small parameter multiplying the derivative in the critical case
p. 1415-1424
A statistical investigation of the round-off errors in the numerical solution of an ordinary differential equation
p. 1425-1436
Weakly stable finite-difference approximations of differential equations
p. 1437-1452
The dependence of the smoothness of the solution of a degenerate parabolic equation on the dimensions of the domain
p. 1453-1461
The stability with respect to initial data of difference schemes for parabolic equations
p. 1462-1475
Harmonic beats in a nonlinear dispersive medium, and the determination from them of properties of the medium
p. 1476-1487
The rotational motion of a solid body with a cavity that is filled by a viscous fluid
p. 1488-1497
On the unique determination of the earth's core structure from Rayleigh surface waves
p. 1498-1509
On the aggregation and design of hierarchical control structures for a class of complex systems
p. 1510-1520
Multidimensional distribution laws for the maxima of the trajectory segments of a random walk
p. 1521-1543
The system SNOBOL-A – BESM-6
p. 1544-1552
The eigenvalues of principal submatrices of a normal matrix
p. 1553-1557
A certain method of inverting tridiagonal block matrices
p. 1557-1562
Reduction of a positive matrix to a quasistochastic matrix by the method of similarity transformations
p. 1563-1567
The stable calculation of polynomial values
p. 1568-1574
Systems of algebraic equations with random coefficients
p. 1574-1581
Calculation of the real roots of polynomials
p. 1581-1584
Regularization by continuous mappings
p. 1584-1586
Some interpolation quadrature formulas for the evaluation of Cauchy type integrals and singular integrals of special form
p. 1586-1594
A variational difference scheme on a regular network for the Dirichlet problem
p. 1595-1603
Some explicit difference schemes for hydrodynamic equations
p. 1603-1605
Certain applications of the closure operation in the analysis of graphs
p. 1605-1607
Aggregation of a dynamic model of the balance of the branches of industry
p. 1608-1613
D. S. Mitrinоvič, P. M. Vasič. Sredinе Uvodenie mladih и naučni rad. V. Beograd, Zavod za uzdavanje udžbenika Socijalističke Republike Srbije, 1968, 122 s. (Book review)
R. Т. Gregory, D. L. Karney. A collection of matrices for testing computational algorithms. New York–London–Sydney–Toronto, Wiley Intersci., a div. of John Wiley and Sons, 1969, IX+154 pp. (Book review)
p. 1614-1615
J. L. Lions. Controle optimal de systhmes gouvernes par des equations derivees partielles. Paris, Dunod, Gauthier-Villars, 1968, 426 pp. (Book review)
p. 1615-1617