Geodesic

Sommaire du Fascicule no. 1

On a class of completely regularizable mappings
p. 3-9
Search for an extremum of unimodal function of one variable in an unbounded set
p. 10-16
The behaviour of extremals of a variational problem with phase constraints
p. 17-29
On the application of modifications of the method of successive
p. 30-35
Some minimization methods for solving problems with equality type constraints
p. 36-41
On a class of multistage conflicts under conditions of risk
p. 42-48
On the construction of minimizing sequences in problems of the control of systems with distributed parameters
p. 49-56
A decomposition network for solving problems of integer linear programming
p. 57-67
On some multicommodity transport problems which lead to a
p. 68-77
On cycles that are generated by the support planes of the transportation problem
p. 78-89
Remarks on an algorithm of the simplex method for large-scale problems
p. 90-99
A polynomial approximation of the solution of the nonlinear Goursat problem
p. 100-111
Averaging of some boundary value problems in domains with a periodic structure
p. 112-122
An algorithm for constructing completely conservative difference schemes
p. 123-132
On the posing of some ill-posed problems of mathematical physics with random input data
p. 133-143
A method for introducing artificial dissipation into variation-difference schemes of magnetohydrodynamics
p. 144-150
Validation of an iterative process over subdomains for transport theory problems in an odd $P_{2N+1}$-approximation
p. 151-162
A numerical method of solving the problem of the non-stationary potential flow of a fluid with movable boundaries
p. 163-170
Numerical modeling of a two-dimensional problem on the plasma discharge propagation
p. 171-177
Problems of the numerical modelling of unsteady spatial viscous gas flows in nozzles
p. 178-196
Relations in sets of semantic mappings and binary relations
p. 197-207
Algebraic closure of a family of algorithms for the classification of an infinite set of objects
p. 208-217
Methods for simultaneous approximate derivation of the roots of algebraic, trigonometric and exponential equations
p. 218-223
Concordance of errors in solving systems of linear algebraic equations on a computer
p. 223-227
An estimate of error of an approximate solution that is obtained
p. 227-231
Regularization of an equation of convolution type in a class of generalized functions
p. 231-235
Convergence of the spectral method for solving a problem of nonlinear optics
p. 235-240
The variational principle of magnetohydrodynamics in the case of infinite conductivity
p. 241-243
A description of steady gas flows on the basis of an even distribution function
p. 244-246
V All-Union school of young scientists “Numerical methods for solution of mathematical physics problems”
p. 247-248
Rutishauser H. Vorlesungen über numerische Mathematik. Bd. I. Gleichungssysteme, Interpolation und Approximation. 164 S; Bd. II. Differentialgleichungen und Eigenwertprobleme. 228 S. Basel-Stuttgart: Birkhäuser, 1976. (Book review)
p. 248-249
Numerische Prozeduren aus Nachlass und Lehre von Prof. Heinz Rutishauser. Hrsg Gander W., Mоlinari L., Švecova H. Basel-Stuttgart: Birkhäuser, 1977, 127 S. (Book review)

Sommaire du Fascicule no. 2

The analysis of rounding errors for non-orthogonal methods of solving linear algebraic systems
p. 259-268
Asymptotic properties of the $s$-step optimal gradient method
p. 269-279
Estimations of integrals using means and some of their applications
p. 280-295
Modified Lagrangian functions in nonlinear programming
p. 296-308
Zur iterativen Lösung von Anfangswertaufgaben bei gewöhnlichen Differentialgleichungen
p. 309-321
Conditions for the absence of global solutions of a class of quasilinear parabolic equations
p. 322-338
A method for calculating two-dimensional problems of heat conductivity on nonorthogonal grids
p. 339-347
Modification of the method of successive approximations for homogeneous problems
p. 348-357
The approximate solution of the Riemann problem with discontinuous coefficients and right-hand side
p. 358-366
A variational-difference method of solving the non-stationary radiation transport equation
p. 367-374
Application of the core spline method to the solution of radial Schrödinger equation for bound states
p. 375-381
A variational difference scheme in the problem of the self-action of wave beams
p. 382-389
On selfconsistent computations of electromagnetic fields generated by nonstationary gamma-source
p. 390-400
An implicit scheme for the numerical modelling of physical processes in a laser plasma
p. 401-410
On the analysis of a mechanism for oscillations of numerical solutions of equations of hydrodynamics
p. 411-417
A difference scheme for solving the initial-boundary value problem for one-dimensional Vlasov equations
p. 418-423
Investigation of algorithms for the simultaneous determination of the minimum and maximum elements of a file
p. 424-428
On the synthesis of classifying algorithms in finite sets of classification algorithms (taxonomy)
p. 429-440
Algorithms of pattern recognition with continuum teaching information. II
p. 441-448
Optimal determination of monotone functions of the algebra of logic
p. 449-461
An iterative method of improving the accuracy of the solution of linear operator equations
p. 462-464
Simplification of the remainder terms of numerical differentiation formulas
p. 465-467
An approximate method of calculating the volume of a convex polyhedron
p. 467-472
On approximate evaluation of the Riemann integral of many-valued mapping
p. 472-476
On prediction problem
p. 476-480
Numerical solution of the mixed problem for the two dimensional wave equation
p. 480-484
On a method for calculating non-stationary interactions of shock waves
p. 484-488
Lion G., Vergue М. The Weil representation, Maslov index and theta series. Boston etc.: Birkhäuser, 1980, 337 p. (Book review)
Computers methods in fluids. Eds Morgan K., Taylor C., Brebbia C. A. London-Plymouth: Pentech Press, 1980, VIII+396 p. (Book review)
p. 489-490

Sommaire du Fascicule no. 3

The discrepancy principle for a class of regularization methods
p. 499-515
Piecewise-uniform regularization of ill-posed problems with discontinuous solutions
p. 516-531
Some nonstandard regularizing algorithms and their numerical realization
p. 532-539
The regularization method in factorization problems
p. 540-547
A generalization of A. N. Tikhonov's asymptotics for integrals containing Bessel functions
p. 548-558
On the best quadrature formula of Markov type in a class of functions
p. 559-565
Calculation of multidimensional singular integrals with Cauchy kernels
p. 566-572
Estimation of generalized integrals of the principal value type by the Monte Carlo method
p. 573-581
Iterative decomposition of stochastic optimization problems with first-order partial differential equations
p. 582-592
A modified group minimization algorithm using supporting elements
p. 593-598
A dynamic standardization problem
p. 599-610
Study of space structures in problems of mathematical ecology
p. 611-622
Averaging of the stationary equation of heat conduction for periodic media of special structure
p. 623-633
A modified elimination method for solving certain mesh equations
p. 634-645
Exact difference schemes
p. 646-654
The difference problem for eigenvalues of a second-order elliptic operator with mixed boundary conditions
p. 655-662
On the theory of multi-dimensional problems of radiating system synthesis
p. 663-670
Propagation of an electromagnetic pulse in a homogeneous conducting medium
p. 671-677
The radiation transport equation with delta anisotropic scatter indicatrix in one-dimensional geometry
p. 678-684
Numerical modeling of the motion of a dense electron cloud in an inhomogeneous medium
p. 685-689
Asymptotic behaviour of the solution of a problem in the theory of waves on the surface of a thin layer of stratified fluid
p. 690-699
The Kramers problem in the kinetic theory of gases
p. 700-709
A problem of Sperner type
p. 710-716
Minimization of the maximum delay in servicing systems with interruption
p. 717-722
A one-dimensional search procedure in methods of unconditional minimization of a function of several variables
p. 723-726
Approximate method of solution of a concave programming problem
p. 727-732
Solution of a multiproduct problem with integral flows
p. 732-735
Some estimates of solutions of difference schemes of the von Neumann problem and a mixed problem
p. 735-738
A method of finding the potential linked with the solution of a system of Fredholm integral equations of the first kind
p. 739-742
A method of calculation of unsteady flows of gas particles in the presence of heterogeneous chemical reactions
p. 742-747
Conditions for spatial localization of solutions of a nonlinear heat equation
p. 747-751
Completely conservative scheme for the Landau equation (anisotropic Rosenbluth potentials)
p. 751-756
A set of routines for the solution of problems of nonlinear optics
p. 756-758
Computational fluid dynamics. Ed. Коllmann W. Washington etc.: Hemisphere Publ. Corp., 1980, VII + 612 p. (Book review)
p. 759-760
Mathematical and computational methodes in physiology. Eds Fedina L., Kanyár В., Косsis В., Коllai М. Budapest: Akad. Kiadó, 1981, XI+339 p. (Book review)
Neural communication and control. Eds Szekely Gy, Lábos E., Damjanоviсh S. Budapest: Akad. Kiadó, 1981, X+340 p. (Book review)
p. 760-761

Sommaire du Fascicule no. 4

On the occasion of the seventy-fifth birthday of Dmitrii Konstantinovich Faddeev
p. 771-772
On the problem of spectral optimization of iterative methods
p. 773-782
The connection between the generalized residual method and the generalized principle of the residual for nonlinear ill-posed problems
p. 783-790
Regularization of dissipative operator equations of the first kind
p. 791-800
Application of the regularization method to the estimation of some a priori distributions
p. 801-813
The generalized gradient method: Convergence, stability, and error estimation
p. 814-823
Discrete approximation and stability in extremal problems
p. 824-839
Construction of piecewise-constant control of pursuit in direct Pontryagin methods
p. 840-849
Solution of stiff boundary value problems by differential pivotal condensation
p. 850-857
Uniqueness of the solution of some inverse problems for the heat equation with a piecewise-constant coefficient
p. 858-864
The asymptotics of the solution of an equation of parabolic type with small parameters multiplying the highest derivatives
p. 865-870
Convergence of the “Rhombus” finite-difference method of solving hyperbolic systems of equations
p. 871-879
On the theory of direct problems on the electrodynamics of inhomogeneous anisotropic media
p. 880-890
Asymptotic form of the solution of the problem of waves on the surface of a heterogeneous stratified liquid
p. 891-902
Iterative methods for solving difference schemes for equations of gas dynamics with heat conductivity
p. 903-912
Derivation of the equations for the motion of vibrationally excited gases
p. 913-925
Two-dimensional difference schemes of magnetohydrodynamics on triangle Lagrange meshes
p. 926-942
The correctness of the difference approximation of a boundary condition in problems of penetration
p. 943-949
The problem of synthesizing fuzzy algorithms for solving problems of integral linear programming
p. 950-962
Learning algorithms based on the construction of decision trees
p. 963-974
On the capacity of a model of recognition algorithms using calculation of estimates
p. 975-981
On the application of pseudo-inversion to the solution of systems of equations
p. 982-986
Fast linear transformations of a plane
p. 986-989
Principle of the residual in the case of a perturbed operator for
p. 989-993
Necessary and sufficient conditions for the convergence of finite-dimensional approximations of the residual method
p. 994-997
Convergence of the gradient method of limit optimization
p. 997-999
On the exact solution of systems of linear inequalities and linear programming problems
p. 999-1002
Optimal surfaces of a flow in supersonic spatial flows
p. 1003-1008
Solution of an equation of radiation transport in randomly inhomogeneous media by the Monte Carlo method
p. 1008-1011
Some inequalities connected with subsets of layers of an $n$-dimensional unit cube
p. 1012-1015
Cohn D. L. Measure theory. Boston etc.: Birkhäuser, 1980, IX+373 p. (Book review)
p. 1016-1017

Sommaire du Fascicule no. 5

Refinement of the pseudo-solutions of a system of linear equations
p. 1027-1032
Solution of operator equations by the method of multiparameter regularization
p. 1033-1043
Approximation of an integral exponential curve by means of quadrature formulas
p. 1044-1051
Asymptotic expansion of a class of integrals with a merging pole and a saddle point
p. 1052-1060
Optimal strategies for search of the maximum of a function with a bounded higher derivative
p. 1061-1066
Hierarchical $3$-person games
p. 1067-1073
On the use of duality theory for the solution of network scheduling problems
p. 1074-1079
A method of numerical solution of linear differential equations
p. 1080-1093
Rapid expansion in a Taylor series and solution of the Cauchy problem
p. 1094-1108
Solution of a problem with a free boundary for elliptic equations
p. 1109-1117
The choice of iteration parameters in the relaxation method on a sequence of meshes
p. 1118-1132
Superconvergence of solutions of the finite-element method in mesh norms
p. 1133-1148
Violation of conservation laws in the solution of difference equations by iteration methods
p. 1149-1156
Numerical solution of the equation for non-linear acoustics of confined beams
p. 1157-1171
Regularization of the problem of determining the density of the emission flow in a vacuum waveguide
p. 1172-1186
Calculation of a two-layer light conductor by the finite difference method
p. 1187-1194
Conservative difference schemes for equations of an incompressible viscous fluid in curvilinear orthogonal coordinates
p. 1195-1207
Asymptotic behavior of the motion of a viscous incompressible fluid filling a cavity in a rotating body
p. 1208-1217
Determination of the surfaces of discontinuity in the numerical calculation of supersonic conical flows
p. 1218-1226
Use of priority C(1,1)-grammars to describe determinate languages
p. 1227-1236
Method of interpolation of a class of functions of several variables
p. 1237-1241
Difference approximations of derivatives, and polynomial splines
p. 1241-1245
Stability of an efficient difference scheme for the solution of a boundary value problem of diffraction
p. 1245-1249
A regularizing algorithm for calculation of the surface density of current
p. 1249-1252
Numerical investigation of the motion of a gas compressed by a collapsing spherical piston
p. 1252-1255
Local recirculation zones in a supersonic boundary layer on a moving surface
p. 1255-1260
Asymptotic expansions for the problem of boundary layer formation
p. 1260-1265
Numerical computation of the dispersion of detonation products
p. 1265-1268
Computation of balance dissociated, ionized and radiated gas flows by the large-scale particle method
p. 1269-1273

Sommaire du Fascicule no. 6

To 60th anniversary of the USSR
p. 1283-1286
Quasioptimality and residual criteria for systems of linear algebraic equations
p. 1287-1297
An iterative method of solution of an eigenvalue problem
p. 1298-1307
On the rate of convergence of projection methods in the eigenvalue problem
p. 1308-1315
The relation of A. N. Tikhonov's regularization method for certain equations of convolution type to the solution of boundary value problems
p. 1316-1322
Isogeometric approximation of functions of one variable
p. 1323-1330
An algorithm for solving mathematical programming problems
p. 1331-1343
A method of solution of the problem of maximization of a positive definite quadratic form on a polyhedron
p. 1344-1351
Equilibrium solutions of positional dynamic games with integral-terminal criteria
p. 1352-1359
Asymptotic estimates of the efficiency of local algorithms in discrete programming
p. 1360-1368
The existence and non-existence of global solutions of boundary value problems for quasi-linear parabolic equations
p. 1369-1385
Fast methods for solving the Poisson equation
p. 1386-1392
On invariant solutions of the equation of non-linear heat conduction with a source
p. 1393-1400
Algorithms for solving elliptic boundary value problems
p. 1401-1409
Approximate solution of systems of hyperbolic equations, based on interpolation of a residue in Hermite's sense
p. 1410-1420
Theoretically attainable exactness of the solution of a synthesis problem
p. 1421-1433
An implicit scheme for finding the temperature when radiation-conductive heat transfer is present
p. 1434-1441
Construction and investigation of schemes for calculating radiation transport
p. 1442-1456
Essentially non-uniform meshes for the numerical solution of the Navier–Stokes equations
p. 1457-1467
Instability of a convergent spherical shock wave
p. 1468-1479
A difference method of increased accuracy for the calculation of flows of a viscous gas
p. 1480-1490
On the correctness of algebraic closures of recognition algorithms of the “tests” type
p. 1491-1499
Solution of systems of linear algebraic equations with a triangular matrix
p. 1500-1501
Appropriateness of uniform scaling of a matrix in the optimal elimination method
p. 1501-1504
On an iterative process for the numerical solution of systems of linear algebraic equations
p. 1504-1508
Stability of positive solutions of inverse problems of heat conductivity
p. 1508-1513
A problem of diffraction of waves described by the Klein–Gordon equation
p. 1513-1518
A method of isolating bicomponents in saturated digraphs
p. 1518-1521
Book review