Geodesic

Sommaire du Fascicule no. 1

Alekseĭ Georgievich Sveshnikov (on the occasion of his seventieth birthday)
p. 3-5
The effective rank of a model of linear measurement with an error
p. 6-23
Transport and network problems with the minimax criterion
p. 24-45
The numerical simulation of unsteady convective-diffusion processes in a countercurrent
p. 46-52
A method for the numerical solution of the problem of diffraction by a heterogeneous dielectric cylinder and its justification
p. 53-70
Problems of the excitation of open cylindrical resonators with an irregular boundary
p. 71-82
The two-dimensional nonlinear problem of the motion of a rarefied gas between two parallel plates
p. 83-94
The suppression of the growth of nonlinear wave packets by the elasticity of the surface around which flow occurs
p. 95-103
Taught and self-taught weighted voting procedures
p. 104-121
Asymptotic estimates of some characteristics of a set of representative systems and the problem of stability
p. 122-134
A fast parallel algorithm for computing an inertia matrix
p. 135-139
Spherical splines and interpolation on a sphere
p. 139-143
The properties of Craig's procedure for solving linear ill-posed problems
p. 144-150
Exact solutions of the Dubreuil–Jacotennes equation
p. 151-156
Computation of the initial vectors for the numerical solution of boundary-value problems
p. 156-159

Sommaire du Fascicule no. 2

The asymptotic behaviour of the $s$-step method of steepest descent for minimizing a quadratic functional in Hilbert space
p. 163-177
Correcting the results of the numerical integration of differential equations on the basis of the invariance principle
p. 178-191
Optimal establishment of the mean values of a non-stationary random process with a known variance
p. 192-210
The “valid” development of multiproduct networks
p. 211-222
A singularly perturbed “reaction–diffusion–transfer” system which degenerates into a system with a finite equation and a first-order partial differential equation
p. 223-240
Exact anisotropic solutions of the multidimensional equation of non-stationary flow in a porous medium
p. 241-259
The convergence of the Schwarz method for an arbitrary number of subdomains
p. 260-270
Numerical investigation of gas flows arising in the case of “multiple point” energy release
p. 271-281
Direct methods of minimization in the problem of estimating the measure of incompatibility of operator equations
p. 282-293
The solution of non-stationary problems of linear programming
p. 293-302
The theory of non-stationary ion-acoustic waves in a non-magnetized plasma
p. 303-309
A hybrid modification of the scheme of the method of quasicharacteristics on a pyramidal pattern
p. 310-317
On the research project “Bibliography of mathematical logic and adjacent fields” of the Department of Mathematical Logic of Geidelberg Academy of Sciences
p. 318-319

Sommaire du Fascicule no. 3

The existence and stability of solutions of extremal standardization problems
p. 323-333
The stability of the lexicographic maximin problem of the flow distribution in multiproduct networks
p. 334-351
Combined relaxation with decomposition for finding equilibrium points
p. 352-359
Computation of rapidly oscillating eigenfunctions of a continuous
p. 360-379
Numerical analysis of the blow-up regimes of combustion of a two-component nonlinear heat-conducting medium
p. 380-399
Discretization of linear equations of mathematical physics with separable variables
p. 400-411
Radiation conditions for the discrete analogues of the non-stationary Maxwell's equations in the case of an inhomogeneous medium
p. 412-426
The solution of nonlinear problems of radiation heat transfer
p. 427-444
Computing the definite integrals of the Wiener–Hopf method by summing powers of residues
p. 445-452
Equilibrium routing of ring networks
p. 452-459
Cubature formulae for a sphere which are invariant with respect to the tetrahedral group
p. 459-466
Modelling the isothermal supersaturation of solutions in a sorbent
p. 467-471
Axisymmetric vortex formations in a viscous liquid
p. 472-478
Singular points of dynamic systems
p. 477-478
Volkоv Е. A. Block method for solving the Laplace equation and for constructing conformal mappings. Boca Raton (U.S.A.) etc. CRC Press, Inc., 1994. 227 p. ISBN 0-8493-9406-6. (Book review)

Sommaire du Fascicule no. 4

Erratum: “Numerical solution of an inverse problem of the reconstruction of a source function in two-dimensional plane geometry”
Movlud Kerimovich Kerimov (on the occasion of his seventieth birthday)
p. 483-485
Regularizing conjugate-direction methods
p. 486-498
An elimination method for linear problems
p. 499-510
A method of approximating a quasidifferential
p. 511-519
Step-like contrasting structures for a singularly perturbed quasilinear
p. 520-531
Calculation of the singular integrals arising in the boundary-element method for the Dirichlet problem
p. 532-541
Mesh approximation of singularly perturbed boundary-value problems for systems of elliptic and parabolic equations
p. 542-564
A spectral method for problems of relativistic nonlinear electrodynamics
p. 565-579
Theory and accurate solutions of the problem of the isothermal slip of a medium-density binary gas
p. 580-594
Polynomial spline interpolation of differentiable random functions
p. 595-602
Calculating the eigenvalues of ordinary differential equations
p. 603-610
Application of an implicit variational-gradient method to the Dirichlet problem for the Helmholtz equation
p. 611-615
Travelling-wave solutions for two-component reactive–diffusive systems
p. 615-623
Chaotic oscillations in distributed kinetic systems when circular symmetry is disturbed
p. 624-631
Numerical modelling of the motion of systems of solids
p. 631-638
Qittner P. A practical approach to database systems. Budapest: Acad. Kiado, 1994. 292 p. (Book review)

Sommaire du Fascicule no. 5

To 60th birthday of Yury Ivanovich Zhuravlev
p. 643-645
The singular-function method for computing the eigenvalues of polynomial matrices
p. 646-660
The relative costs of the Monte Carlo method for solving systems of linear algebraic equations
p. 661-676
A new class of interpolating function
p. 677-687
The convergence of proximal methods to fixed points of extremal mappings and estimates of their rate of convergence
p. 688-704
A one-dimensional deterministic global minimization algorithm
p. 705-717
Non-local properties of solutions of Hamilton's difference equations with external action
p. 718-727
An initial and boundary value problem for the non-stationary heat-convection equations
p. 728-738
On the convergence, uniform with respect to the small parameter, of A. A. Samarskii's monotone scheme and its modifications
p. 739-752
A numerical investigation of forced axisymmetric electric oscillations of an ideally conducting prolate spheroid
p. 753-771
Computational algorithms for the optimum covering of plane domains by a prescribed number of ellipses
p. 772-783
The non-uniqueness of the solutions of the basic thermodynamic equation of the mechanics of continuous media in classes of continuous functionals
p. 784-787
An optimum procedure for searching for the global extremum of a locally unimodal function
p. 788-794
The non-complementarity of equilibrium routings of ring networks
p. 794-801
The points of a linear manifold nearest the origin of coordinates
p. 801-810
A simulation of the hydrodynamics of the disintegration of a thin film of partially wetting liquid
p. 810-815

Sommaire du Fascicule no. 6

In memory of Anatoliĭ Alekseyevich Dorodnitsyn
p. 819-842
Splitting-up methods for non-stationary problems
p. 843-849
The use of Newton's method for linear programming
p. 850-866
The multipole method for Poisson's equation in regions with rounded corners
p. 867-892
Difference schemes of the balance method on a non-uniform mesh
p. 893-904
The limiting behaviour of periodic media with soft-modular inclusions
p. 905-917
The analysis of complex diffraction problems by the discrete-source method
p. 918-934
The conditions for the convergence of iterative methods with complete splitting of the boundary conditions for the Stokes system in a sphere and a spherical layer
p. 935-963
A uniformly suitable model to describe the motion in a three-dimensional boundary layer
p. 964-976
Calculation of unsteady flows of saturated vapour in pipelines
p. 977-987
Macroparallelism and the decomposition of algorithms
p. 988-996
Two examples of flow around plates in the Stokes approximation
p. 997-1000
Viscous flow past a rotating elliptic cylinder
p. 1001-1008

Sommaire du Fascicule no. 7

Stability of projection-difference schemes for nonstationary problems in mathematical physics
p. 1011-1021
An implicit exhaustion method for partial generalized eigenvalue problems
p. 1022-1033
Pseudo-optimal choice of parameter in the regularization method
p. 1034-1049
Approximate solutions of boundary value problems for systems of ordinary differential equations
p. 1050-1057
Calculation of the gradient in optimal control problems with a discontinuous right-hand side
p. 1058-1066
On a generalization of the bottleneck traveling salesman problem
p. 1067-1076
On some problems in the nonlinear theory of heat conduction with data containing a small parameter in the exponents
p. 1077-1094
Small motions of an elastic medium in an open immobile container
p. 1095-1107
The vector Riemann–Hilbert boundary value problem in boundary value problems of the scattering of polarized light
p. 1108-1127
On an algorithm for the fast Fourier–Bessel transform
p. 1128-1133
Higher-order necessary optimality conditions
p. 1134-1138
Construction of plane curves by means of fourth-order parametric polynomials
p. 1139-1142
Nonexistence theorems in two-phase flow theory
p. 1143-1149
A letter to the Editor: “On our papers on vortex formations in a viscous incompressible fluid”

Sommaire du Fascicule no. 8

A method for the parametrization of boundary conditions in eigenvalue problems
p. 1155-1164
Topological methods for the localization of eigenvalues of boundary value problems
p. 1165-1174
Canonical representations of standard difference approximations of differential operators
p. 1175-1183
Application of moving adaptive grids in algorithms with compact approximations
p. 1184-1194
On the formulation of boundary conditions in computing a swirling flow of a two-phase medium
p. 1195-1208
Numerical investigations of free electrical axisymmetric oscillations of an ideally conducting oblate spheroid
p. 1209-1232
On the nature of intensive interaction between a cloud of interplanetary dust particles and the Earth's atmosphere
p. 1233-1244
Aggregation in dynamic games
p. 1245-1259
Investigation of a linear convolution of criteria in multicriterial discrete programming
p. 1260-1270
Asymptotic behavior as $t\to\infty$ of the solution of the Cauchy problem for equations of the dynamics of a heat-conducting fluid
p. 1271-1277
Numerical testing of Bird's VHS model
p. 1277-1285
Approximation of the Pareto-hull of a convex set by polyhedral sets
p. 1285-1294
Библиотеки программ для ЭВМ

Sommaire du Fascicule no. 9

Asymptotic optimization of a linear singularly perturbed system containing parameters of variable orders of smallness at the derivatives
p. 1299-1312
Difference approximations and regularization of optimal control problems
p. 1313-1333
Adaptive curvilinear grids in the finite-element method
p. 1334-1355
A numerical method for solving the Dirichlet problem with nonlocal boundary conditions
p. 1356-1373
On a numerical-analytic investigation of problems of the diffraction of a plane sound wave by ideal prolate spheroids and triaxial ellipsoids
p. 1374-1400
A nonclassical boundary value problem for a three-dimensional viscous transonic equation
p. 1401-1419
Estimates for the accuracy of the regularization of nonlinear unstable problems
p. 1420-1428
A normality criterion for Toeplitz matrices
p. 1428-1432
Formation of smooth surfaces based on local splines with mixture
p. 1432-1439
On linear approximation in the plane that does not depend on triangulation degeneration
p. 1439-1445
Numerical solution of a nonlinear programming problem by means of a stepwise quadratic penalty method
p. 1445-1448
Application of the theory of analytic functions in the numerical modeling of nonstationary surface waves
p. 1448-1456

Sommaire du Fascicule no. 10

The quality of approximations to a well-isolated eigenvalue, and the arrangement of “Ritz numbers” in a simple Lanczos process
p. 1459-1475
Two-sided methods for the numerical integration of initial value and boundary value problems
p. 1476-1493
Application of adaptive-harmonic grids for the numerical solution of problems with boundary and interior layers
p. 1494-1517
Numerical modeling of transonic flow around an airfoil in a wind tunnel
p. 1518-1537
Computations of viscous gas flows based on compact third-order schemes
p. 1538-1551
Application of a weighted voting procedure in a system of base sets in prediction problems
p. 1552-1563
Preliminary data processing for solving a special class of pattern recognition problems
p. 1564-1575
Superpositional regression
p. 1576-1581
Reduction to a boundary value problem with a finite nonabelian symmetry group based on an intertwining operator
p. 1582-1591
Order and equivalence relations for functional signatures that are used in image processing and pattern recognition
p. 1591-1599

Sommaire du Fascicule no. 11

The $2$-factor method and multipoint boundary value problems
p. 1603-1614
Finite-dimensional approximation of the inputs of hyperbolic variational inequalities
p. 1615-1629
Investigation of parallel algorithms for the method of local variations for solving optimal control problems
p. 1630-1640
Conditions for Pareto optimality in a discrete vector problem on a system of subsets
p. 1641-1652
On the solution of a selfadjoint eigenvalue problem for large values of the spectral parameter
p. 1653-1665
Quasilinear singularly perturbed elliptic equations in a rectangle
p. 1666-1678
On an additive difference method for parabolic equations
p. 1679-1688
A marching method for constructing orthogonal grids on a plane and on surfaces
p. 1689-1704
Hypersonic flow around V-shaped wings with a detached shock wave
p. 1705-1714
On the well-posedness of boundary value problems and their approximate
p. 1715-1728
An iterative method for solving boundary value problems in aerodynamics
p. 1729-1740
Conditionality and expected error for two methods of computing the pseudo-eigenvalues of a complex matrix
p. 1741-1748
A method for the approximate calculation of positional absorption sets in differential approach games
p. 1749-1758
On the rate of convergence, uniform with respect to a small parameter, of a difference scheme for an ordinary differential equation
p. 1758-1765
Analytic derivation of the dependence of the frequency of standing surface waves on amplitude in a fluid of finite depth
p. 1766-1773
Vladimir Mikhaĭlovich Mikheev (1929–1995)
p. 1774-1775

Sommaire du Fascicule no. 12

An asymptotic method for constructing positional solutions of a quasilinear problem of optimal observation
p. 1779-1795
New variants of barrier-Newton methods for solving linear programming problems
p. 1796-1807
Comparison of solution of shooting equations under the transfer of boundary conditions at infinity for Hamilton linear systems
p. 1808-1818
On the convergence of the Newton method for the solution of a conservative difference scheme for a problem in classical mechanics
p. 1819-1830
Inverse problems of stationary radiation transfer
p. 1831-1853
Solution of boundary value problems of moment latticed shells of revolution as momentless shells with corrections of boundary layer type
p. 1854-1871
Numerical investigation of the motion of molecules in a spherically symmetric gravitational field
p. 1872-1885
On the possibility of constructing macromodels for $RC$-circuits
p. 1886-1899
On the features of the programmed realization of the Lanczos method for generalized symmetric matrices
p. 1900-1904
Application of the heat equation for the construction of interpolation curves
p. 1905-1909
Erratum: “On the convergence, uniform with respect to the small parameter, of A. A. Samarskiĭ's monotone scheme and its modifications”