Geodesic

Sommaire du Fascicule no. 1

Numerical stability of the marching method
p. 3-11
Direct methods for calculating optimal programs in dynamic problems of vector optimization
p. 12-22
Sufficient conditions for elements of minimizing sequences in optimal control problems
p. 23-31
Questions of stability of lexicographic optimization problems
p. 32-44
Search for optimal guaranteed solutions of large semi-infinite programming problems
p. 45-52
Study of a class of profit functions arising in a macro description of economic systems
p. 53-65
On an explicit method of solving a system of linear differential equations
p. 66-79
Some estimates for the solution of the Vlasov equation
p. 80-87
The minimum of the mean value of work decrease functions for step systems
p. 88-95
Modelling turbulent flows in a plane channel
p. 96-121
The capacity of polynomial expansions of a set of algorithms for calculating estimates
p. 122-133
On the comparative value of Gaussian growth coefficients for mutually inverse matrices
p. 134-136
A sequence of iteration parameters
p. 136-140
On the solution of an inverse problem for the wave equation with the help of a regularizing algorithm
p. 140-146
The construction of test problems in integer-value programming with binary unknowns
p. 146-150
On a property of the collision integrals
p. 151-153
IX All-union school of young scientists “Numerical methods and mathematical modelling”
p. 154-155
Book review
p. 155-156

Sommaire du Fascicule no. 2

Search for the global extremum of a polynomial on a parallelepiped
p. 163-180
Some properties of the generalized gradient method
p. 181-189
Minimum search in concave problems, using the sufficient condition for a global extremum
p. 190-199
Numerical solution of mixed boundary value problems for second-order elliptic equations in an arbitrary domain
p. 200-209
Reduction of linear integral equations with uniform error in the right-hand side
p. 210-223
Numerical methods of computing special functions of wave catastrophes
p. 224-236
Variational-difference schemes for problems of the mechanics of ideally elastoplastic media
p. 237-253
Different $P_N$-approximations of the method of spherical harmonics
p. 254-268
An algorithm for numerical extension of generalized axially symmetric potential from the axis of symmetry
p. 269-282
An approach to the question of constructing effective recognition algorithms
p. 283-291
Determination of extremal eigenvalues by minimization of functionals of a special type
p. 292-295
On the equality of errors in classes of passive and sequential algorithms
p. 295-298
Unconditional minimization in eigenvalue problems with additional conditions
p. 298-301
Approximate solution of integro-operator equations of Volterra type of the first kind
p. 302-306
Antenna potentials in problems of diffraction by a transparent body
p. 306-311
On the streamlines of helical flow
p. 312-313
School-conference “Mathematical Problems of Chemical Kinetics and Combustion”
p. 314-315

Sommaire du Fascicule no. 3

Aleksei Georgievich Sveshnikov (on the occasion of his sixtieth birthday)
p. 323-324
Linear extrapolation in an iteration method for solving systems of equations
p. 325-334
Stability of a matrix variant of flow double sweep
p. 335-343
General non-asymptotic estimates of the rate of convergence of iterative stochastic algorithms
p. 344-355
Optimal methods of smooth convex minimization
p. 356-369
Some inverse problems of magnetotelluric sounding for inclined incident plane waves. I
p. 370-380
A spectral method for computing the constants of propagation of cellular waveguides
p. 381-391
Analytic and numerical solution of the Fredholm equation of the first kind that arises in an inverse refraction problem
p. 392-402
Localization of the spectrum in the problem of normal oscillations of an elastic shell filled with a viscous incompressible fluid
p. 403-412
Scattering of internal waves by the edge of an elastic plate
p. 413-421
An algorithm for calculating two-dimensional problems of gas dynamics in Lagrange variables
p. 422-430
Development of a statistical particle method for relaxation problems of chemically reacting gas mixtures
p. 431-441
Amplitude-phase properties of spectral coefficients of stratified media
p. 442-450
Estimation of the stability of the solution set of systems of linear equalities and inequalities
p. 451-455
Algorithms for reconstruction of derivatives of functions of certain classes, which are optimal with respect to accuracy
p. 456-461
On one family of exact solutions of the multidimensional nonlinear heat equation
p. 461-466
The use of multipole sources in the method of nonorthogonal series in diffraction problems
p. 466-470
An implicit difference scheme for calculating unsteady viscous flows with domains of strong inhomogeneities
p. 471-473
Zum Werk Leonhard Eulers. Vorträge des Euler-Kolloquiums im Mai 1983 in Berlin. Hrsg Knobloch E., Louhivaara I. S., Winkler J. Basel etc.: Birkhäuser, 1984, XI+238 S. (Book review)
The Scottish book. Mathematics from the Scottish cafe. Ed. Mauldin R. D. Basel etc.: Birkhäuser, 1981, XIII+268 p. (Book review)
p. 474-475
Konstruktive Methoden der finiten nichtlinearen Optimierung. Tagung, Oberwolfach, 27. Januar 2. Februar 1980. Hrsg Соllatz L., Meinardus G., Wetterling W. Basel etc.: Birkhäuser, 1980, 211 S. (Intern, Ser. Numer. Math., v. 55). (Book review)

Sommaire du Fascicule no. 4

Analysis of the error of the modified exclusion method in certain problems
p. 483-491
Regularization of certain higher-order minimization methods for inexact initial data
p. 492-499
Calculation of the Riemann zeta function in a complex domain
p. 500-511
Algorithms for higher accuracy for solution of integral equations of the first kind
p. 512-520
Simplification of singularly perturbed equations of macrodynamics and the method of quasistationary concentrations
p. 521-534
Some inverse problems of magnetotelluric sounding for obliquely incident plane waves. II
p. 535-547
One-dimensional inverse problems of electrodynamics
p. 548-561
Spectral theory of open two-dimensional resonators with dielectric inclusions
p. 562-577
Asymptotic theory of open unstable resonators of telescopic type with an active medium
p. 578-587
Two-group optimization of a method of statistical modeling of a radiation field for hydrogenous media
p. 588-598
Numerical computation of nonequilibrium flow around a wing in the approximation of a thin shock layer
p. 599-608
Periodic solutions of some singularly-perturbed equations of parabolic type
p. 609-614
Laminar mixing layer on the boundary of two flows
p. 614-617
Approximate solution of an inverse problem of diffraction
p. 617-622
Calculations of problems of a collisionless plasma
p. 622-627
Modeling of a class of densities
p. 627-631
A multivariant travelling-salesman problem
p. 631-633
Letter to the editors
p. 634-635
The second all-union conference on numerical methods foi solving kinetic equations

Sommaire du Fascicule no. 5

A method of determining roots of polynomials that converge for any initial approximation
p. 643-653
Optimality of regularizing algorithms for the solution of stochastic operator equations
p. 654-665
The Monte Carlo method for estimation of functionals of characteristic measures of linear integral operators
p. 666-679
Conditions for an extremum for smooth problems with constraints of equality type
p. 680-693
Numerical methods for solving a two-dimensional problem for the Maxwell equations
p. 694-704
On estimating the effect of the value of inertial terms in problems of water quality
p. 705-717
Solution of a problem of the dynamics of a stratified fluid and its stabilization as $t\to\infty$
p. 718-730
An asymptotic formula for the potential of a cylinder of small height
p. 731-741
Numerical study of isotropic relaxation in a gas with Maxwell interaction
p. 742-756
Independent flows with a discrete-concave expenditure function
p. 757-771
Accuracy of the solution of a nonlinear ill-posed problem with a finite error level
p. 772-777
Simulation of a negative binomial distribution by the sampling method
p. 777-779
Properties of a flow polyhedron and their applications to numerical solution of extremal problems on graphs
p. 780-783
Regularization of a boundary value problem for an oscillation equation
p. 783-789
Numerical modeling of unsteady flows of an incompressible viscous fluid
p. 789-793
Dick A. Emmy Noether (1882–1935). Transl. by Blocher H. I. Basel etc: Birkhäuser, 1981, 193 p. (Book review)
Péter R. Recursive functions in computer science. Budapest: Akad. kiadó, 1981, 179 p. (Book review)
Topics in modern operator theory. 5th International Conference on Operator Theory, Timisoara and Herculane (Romania), June 2-12 1980. Eds Apostol C., Douglas R. G., Sz.-Nagy B., Voiculescu D. Basel etc: Birkhäuser, 1981, 336 p. (Book review)
Mathematical models in computer systems. Proc. third Hungarian Computer Sciences Conference, Budapest, January 1981. Eds Arato M., Varga L. Budapest: Akad. kiadó, 1981, 370 p. (Book review)
Nowinski J. L. Application of functional analysis in engineering. N. Y.: Plenum Press, 1981, XV+304 p. (Book review)
p. 795-796

Sommaire du Fascicule no. 6

A numerical method for the multistep problem of taking decisions under conditions of uncertainty
p. 803-814
Necessary and sufficient conditions for single-extremality in nonconvex mathematical programming problems
p. 815-826
Stability of difference schemes
p. 827-840
Point source function of the Dirichlet problem for the Laplace difference operator in the angle $3\pi/2$ and its application
p. 841-849
Convergence of a conservative differential-difference scheme of gas dynamics in Euler coordinates
p. 850-859
Solution of the problem of maximizing oil recovery under conditions of two-phase filtration
p. 860-872
An equation of two-dimensional waves in a compressible rotating fluid, and diffraction problems
p. 873-882
Mathematical modeling of a plasma generator of super-high-frequency radiation
p. 883-895
Existence and uniqueness of the solution of the linearized Boltzmann equation in the presence of inelastic collisions
p. 896-911
Statistical modeling of recondensation processes in the presence of a neutral gas
p. 912-924
Numerical investigation of a point explosion in a radiating gas
p. 925-932
Approximate calculation of a pseudoinverse matrix using a generalized discrepancy principle
p. 933-935
Third-order evolution equations connected with the Korteweg–de Vries equation and with a linear equation
p. 935-941
Calculation of the directional diagram of a low-frequency sound transmitter
p. 941-945
On the complex structure of a two-dimensional thermal wave that absorbs laser radiation
p. 946-947
Uniqueness of an inverse scattering problem in the Fresnel approximation
p. 948-954
Csörgö М., Revesz P. Strong approximations in probability and statistics. Budapest: Akad. kiadó, 1981, 284 pp. (Book review)

Sommaire du Fascicule no. 7

The rate of convergence of projection methods in the eigenvalue problem for equations of a special type
p. 963-972
The effect of round-off errors in iteration processes
p. 973-982
Convergence of difference approximations and regularization of optimal control problems for elliptic equations
p. 983-1000
Convergence of the Galerkin method for a nonlinear two-point singularly perturbed boundary value problem in the space $C[a,b]$
p. 1001-1008
Numerical integration of a singularly perturbed Cauchy problem for an ordinary differential equation
p. 1009-1022
Raising the efficiency of algorithms for the integration of ordinary differential equations at the expense of loss of stability
p. 1023-1030
Unbounded invariant solutions of a quasilinear parabolic equation possessing the self-focusing property
p. 1031-1038
Classification of Backlund transformations of first order for third order evolution equations with a constant separant
p. 1039-1049
Convergence of a particle method for a two-dimensional system of Vlasov equations
p. 1050-1056
A numerical method for solving the problem of maximization of torsional rod rigidity
p. 1057-1065
Motion of a rarefied gas induced by a strong point explosion of a finite gas mass
p. 1066-1077
On the ill-posed nature of the algebraic closure of the second power of a set of algorithms for calculating estimates
p. 1078-1085
On a fast algorithm for the approximate solution of a discrete Wiener–Hopf equation and an estimation of the accuracy
p. 1086-1092
The choice of regularization parameter for the solution of a linear operator equation
p. 1092-1097
An approach to the numerical calculation of the magnetostatic characteristics of a system under skin-effect conditions
p. 1097-1102
On an algorithm for simulating normal distribution
p. 1102-1104
On one method for solving hybrid model of collisionless plasma
p. 1104-1109
Integral equations in skin-effect theory
p. 1109-1110
The completeness of a family of estimate-computing algorithms with continuous initial data
p. 1110-1115

Sommaire du Fascicule no. 8

Order-optimal estimates for finite-dimensional approximations of solutions of ill-posed problems
p. 1123-1130
Approximate solution of the equations of dynamic programming
p. 1131-1142
Local algorithms for block-tree problems of discrete programming
p. 1143-1154
The Monte Carlo method with additional random sampling for calculating the flow of particles “at a point”
p. 1155-1163
Nonsymmetric three-point difference schemes of the fourth and fifth order
p. 1164-1175
Local conservativeness of difference schemes for equations of gas dynamics
p. 1176-1188
Inverse problems of acoustic potential
p. 1189-1199
Solution of systems of equations of Hartree type by the method of parameter evolution
p. 1200-1210
Convergence and stability of a difference scheme for solving a multidimensional equation of nonstationary transport
p. 1211-1219
Accuracy and effectiveness of different methods for solving stationary self-consistent problems
p. 1220-1234
Semimixed finite element method in problems of deformation of shallow shells
p. 1235-1245
Quadrature formulae of the highest trigonometric degree of accuracy
p. 1246-1252
A variational penalty method in interpolation and smoothing problems on an arbitrary observation grid
p. 1252-1255
Solution of the Hammerstein equation in Banach spaces
p. 1256-1260
Method for finding effective equilibrium situations in $n$-person differential games
p. 1260-1263
On the calculation of transport coefficients of a rotationally perturbed gas
p. 1263-1268
Estimate-computing expressions in algorithms with complex systems of support sets
p. 1268-1272
Estimates of the complexity of tabulating trajectory problems
p. 1272-1275

Sommaire du Fascicule no. 9

Oleg Mikhailovich Belotserkovskii (on the occasion of his sixtieth birthday)
p. 1283-1284
An iterative method of construction of orthogonal projections of convex polyhedral sets
p. 1285-1292
A method of solving bilinear minimax problems
p. 1293-1303
Strong equilibrium situations and the $N$-core in games with a hierarchical vector of interests
p. 1304-1313
Periodic modes in nonlinear dissipative systems near a point of bifurcation
p. 1314-1326
Determination of a domain inside of which there is an eigenvalue of a differential equation
p. 1327-1335
The convergence of difference solutions to the generalized solutions of the Dirichlet problem for the Helmholtz equation in a convex polygon
p. 1336-1345
The uniqueness of the solution of an inverse problem of nonlinear heat conduction
p. 1346-1352
Choice of a grid depending on properties of the boundary in the variational-difference method of solution of elliptic equations
p. 1353-1364
Calculation of flows in two-and three-dimensional nozzles by the approximate factorization method
p. 1365-1381
Strongly implicit alternately-triangular method for solving problems of asymptotic boundary-layer theory
p. 1382-1390
Explicit-implicit finite difference scheme calculation of supersonic flow around a body
p. 1391-1400
Conservation laws in one-dimensional magnetohydrodynamics with infinite conductivity
p. 1401-1408
Effective algorithms for solving eigenvalue problems
p. 1409-1413
A method of calculation of characteristic numbers of a meromorphic operator-valued function
p. 1413-1416
Fundamental solution of the difference approximation of the Helmholtz operator
p. 1416-1421
Different forms of matrices of approximate dispersion of difference schemes
p. 1422-1425
Separation of variables in rational functions
p. 1425-1429
Mean deviation of the frequency of incorrect pattern recognition from the probability
p. 1430-1433
Defect correction methods. Theory and applications. Eds Böhmer K., Stetter H. J. Wien-N. Y.: Springer, 1984, IX+243 p. (Book review)
Kowalski О. Elemente der Analysis auf Mannigfaltigkeit. Leipzig: BSG В. G. Teubner, 1981, 151 S., 16,-M. (Book review)
p. 1434-1435

Sommaire du Fascicule no. 10

Corrections
Error bounds in regularization methods for normally solvable problems
p. 1443-1456
Calculation of complex zeros of the Bessel function of the second kind and its derivatives
p. 1457-1473
Control of a dynamical system when a random process acts on it
p. 1474-1485
The difference eigenvalue problem for a fourth order elliptic operator with mixed boundary conditions
p. 1486-1495
An algorithm for the method of difference potentials
p. 1496-1505
On inverse diagnostic problems of the dynamics of a radiating gas
p. 1506-1525
Kinetic algorithms for calculating gas dynamic flows
p. 1526-1533
Two-level models of recognition algorithms
p. 1534-1546
Some algebraic operations over classification algorithms and applications
p. 1547-1555
An approach to matrix splitting
p. 1556-1559
On stability in terms of Gavurin of approximate solutions of systems of functional equations
p. 1559-1560
On a method for finding optimal paths in a single-commodity controlled dynamic system
p. 1560-1561
A problem of propagation of compression waves in a viscoelastic medium
p. 1561-1565
Investigation of difference schemes for determining water saturation in a two-dimensional model of filtration
p. 1566-1570
Realization of a numerical method for solving a problem of convection of low-compressible fluid
p. 1571-1573
A numerical method for calculating internal subsonic flows of an ideal rotating gas
p. 1573-1577
Мarek I.,Z̆itný К. Matrix analysis for applied sciences. Vol. I. Leipzig: BSG B. G. Teubner, 1983, 196 S., 19,- M. (Teubner-Texte zur Mathematik, Bd. 60). (Book review)
Kruschkal S. L., Kühnau R. Quasikonforme Abbildungen – neue Methoden und Anwendungen. Leipzig: BSG B. G. Teubner, 1983, 172 S., 17,50 M. (Book review)
Junek Н. Locally convex spaces and operator ideals. Leipzig: BSG B. G. Teubner, 1983, 180 S., 17,- M. (Teubner-Texte zur Mathematik, Bd. 56). (Book review)

Sommaire du Fascicule no. 11

Mathematicians call for halt to the arms race
p. 1587-1588
Simple approximations of functions with additional conditions
p. 1589-1598
An extremal problem of approximation of integrals with fixed singularity in the class $W^rL_2$
p. 1599-1613
Investigation and reduction of variance of weight vector algorithms of the Monte Carlo method
p. 1614-1627
Investigation and reduction of the variance of weighted vector algorithms of the Monte Carlo method
p. 1628-1643
Solution by the maximum principle of a problem on the energy-optimal control of the movement of a train
p. 1644-1655
A special class of problems of geometric optimization
p. 1656-1665
The use of duality to increase the effectiveness of the branch and bound method when solving the knapsack problem
p. 1666-1673
Synthesis of stratified media with given amplitude-phase properties
p. 1674-1688
An initial-boundary value problem for the gravitational-gyroscopic wave equation
p. 1689-1696
An algorithm for the numerical solution of a problem of surface mass evaporation by laser radiation
p. 1697-1709
Solution of the problem of minimization of generalized Trefftz functionals as a variational problem with constraints
p. 1710-1717
An approach to the numerical determination of multiple bifurcation points in the finite-dimensional case
p. 1717-1723
A numerical method of solving the Cauchy problem for stiff systems
p. 1723-1725
Estimation of the rate of convergence of difference schemes for quasilinear fourth order elliptic equations
p. 1725-1729
On calculation of dynamic equilibrium states of a gas flow under space impulse heat flow
p. 1730-1733
An optimizational model of classification algorithms
p. 1733-1737
Determination of suboptimal solutions of minimax problems
On the stability of a method of searching the saddle points

Sommaire du Fascicule no. 12

Anatolii Alekseevich Dorodnitsyn (on the occasion of his 75th birthday)
p. 1747-1748
Calculation of multiple zeros of derivatives of cylindrical Bessel functions $J_{\nu}(z)$ and $Y_{\nu}(z)$
p. 1749-1760
Stable compromises in games with structured payoff functions
p. 1761-1776
A combinatorical approximation method for the decomposition and composition of systems, and finite topological spaces, lattices, and optimization
p. 1777-1794
Some methods of stochastic programming in Hilbert space
p. 1795-1813
Singular Cauchy problems for sets of quasilinear equations with first-order partial derivatives
p. 1814-1832
A new class of asymptotic “eigenfunctions” of the Cauchy problem for a nonlinear parabolic equation
p. 1833-1839
Numerical methods for the direct solution of the kinetic Boltzmann equation
p. 1840-1855
Direct numerical modelling of free induced turbulence
p. 1856-1882
Algebraic methods for analysis of complex systems with hierarchical structure
p. 1883-1890
Flow versions of the pivotal condensation method
p. 1891-1894
On isobaric planar flows of a viscous incompressible liquid
p. 1895-1898
A splitting scheme for equations of gas dynamics
p. 1898-1902
Macroscopic conservation laws in the kinetic theory of a monatomic gas and their consequences
p. 1902-1906