Geodesic

Sommaire du Fascicule no. 1

Some continuous regularization methods for monotone equations
p. 3-11
Conditions of stability and approximation in the optimal control of hyperbolic systems
p. 12-28
The conditional stability of extreme points of a polyhedral set
p. 29-43
Algorithms for solving the two-criterion large-scale travelling salesman problem
p. 44-57
Singular boundary-value problems for linear Hamiltonian systems
p. 58-67
Theory of the integral equation of a narrow rectilinear slot
p. 68-77
The behaviour of the solution of the Cauchy problem for the gravitational-gyroscopic wave equation
p. 78-87
The electric current in a magnetized semiconducting plate with earthed side walls
p. 88-103
A stable non-negative numerical method for calculating the flow of a liquid in an open channel
p. 104-116
The interaction of a cloud of interplanetary dust with the atmosphere
p. 117-129
Bifurcation of the upper branch of the neutral curve for the boundary layer on a plate in a compressible flow
p. 130-147
Some a posteriori termination rules for the iterative solution of linear ill-posed problems
p. 148-154
Automatic control of the cementation of alloyed materials
p. 155-160

Sommaire du Fascicule no. 2

Investigation and solution of matrix equations over associative rings
p. 163-174
The combination of the establishment method and Newton's method for solving nonlinear differential problems
p. 175-184
Discrete approximations to the Cauchy problem for hyperbolic differential-functional systems in the Schauder canonic form
p. 185-200
Local approximation of projection-difference methods
p. 201-213
Some models of multigroup approximation in nuclear reactor theory
p. 214-233
The solution of boundary-value problems for the equations of radiation transfer
p. 234-245
A conservative method for the numerical solution of the kinetic equation at low Knudsen numbers
p. 246-266
Some problems and approximate methods of computational mechanics
p. 267-289
Calculation of axisymmetric stationary swirling motion of a heavy liquid with free surfaces
p. 290-300
On the unitary similarity of Hermitian Toeplitz matrices to real $(T+H)$- matrices
p. 301-305
An algorithm for solving Poisson's equation in an unbounded domain
p. 305-310
The propagation of a quasifront in a stratified rotating fluid
p. 310-314
The extraction of the square roots of symmetric sign-indefinite matrices. Polar decomposition version
p. 315-317
Andreĭ Nikolaevich Tikhonov (obituary)
p. 318-319

Sommaire du Fascicule no. 3

The directions of decrease for minmaxmin problems
p. 323-343
The method of gradient descent for minimizing non-convex functions
p. 344-359
Transformations of differential-algebraic systems of equations
p. 360-372
Exact solutions and invariant spaces for nonlinear gradient diffusion equations
p. 373-383
A scheme of increased order of accuracy in the case of cylindrical and spherical symmetry
p. 384-394
An estimate of the error of averaging the dynamics of small perturbations of very inhomogeneous mixtures
p. 395-414
Investigation of the unsteady vortex motions of a viscous incompressible fluid in the cavity of a rotating body
p. 415-431
An economical numerical method for one-dimensional problems of radiative gas dynamics
p. 432-445
Optimizing hypersonic wings
p. 446-460
Describing normal Toeplitz matrices
p. 473-479
Regarding a method of improving the conditionality of a system of linear equations
p. 480-481
Note on the regularizing properties of methods of conjugate directions
p. 481-483
A theorem on the dissipation of energy and exact solutions of a system of quasi-hydrodynamic equations
p. 483-491
Perturbation theory for the Sturm–Liouville problem with variable coefficients
p. 491-494

Sommaire du Fascicule no. 4

Erratum: “Solution of a problem on the distribution of vortex flows”
Valentin Vasil'evich Voevodin (on the occasion of his sixtieth birthday)
p. 499-500
Fredholm's alternative for quasidiagonal matrices
p. 501-510
A version of the regularized gradient projection method
p. 511-519
The numerical-analytic integration of differential equations by
p. 520-532
The biota as a regulator and the sustainability problem
p. 533-544
The problem of convex programming with linear constraints
p. 545-553
Some qualitative features of diffusion-induced chaos
p. 554-563
The construction of normalized systems for investigating the dynamics of hybrid and hyperbolic equations
p. 564-575
The separation of infinite-component mixtures by an electric field
p. 576-583
Formulae connecting the WKB solutions, the $S$-scattering matrix and
p. 584-596
A method for computing steady and unsteady two-dimensional flows of spontaneously condensing steam in nozzles
p. 597-607
Analysis of an algorithm for approximating convex bodies
p. 608-616
A controller for the sliding optimization of dynamic control systems
p. 617-622
The numerical solution of systems of linear ordinary differential equations with constant coefficients
p. 622-627
The hydrodynamic resistance of a periodic lattice
p. 627-631
A modification of Graham's algorithm for the convexification of a positive-uniform function
p. 631-636
Singular filtering of matrix and grid operators. Error estimates
p. 636-639

Sommaire du Fascicule no. 5

A mathematical technique for the $N$-fold differentiation of functions with a finite spectrum and its applications
p. 643-657
Piecewise-linear functions of several variables; their modelling, local behaviour and extrema
p. 658-668
Barrier-projective methods for nonlinear programming
p. 669-684
A block-grid method of increased accuracy for solving Dirichlet's problem for Laplace's equation on polygons
p. 685-701
The decomposition of domains for parabolic problems with discontinuous solutions and the penalty method
p. 702-719
A grid approximation of the method of additive separation of singularities for a singularly perturbed equation of parabolic type
p. 720-738
The general algebra of symmetry operators of the equations of gas dynamics in Euler and Lagrange variables
p. 739-747
The mixed finite element method in problems of the theory of shells
p. 748-769
The influence of the position of the zeros in a non-negative matrix on the convergence of the algorithm for computing its Perron root
p. 770-775
Determining the number of eigenvalues of a spectral problem
p. 776-783
Gradient methods for the numerical solution of the problem of the
p. 784-792
Finding a minimax with specified accuracy
p. 793-799

Sommaire du Fascicule no. 6

Aleksandr Andreevich Samarskiĭ (on the occasion of his seventy-fifth birthday)
p. 803-804
Direct recurrence algorithms for solving the linear equations of the method of least squares
p. 805-814
Cubic convergence of the inverse iteration method for solving the nonlinear spectral problem
p. 815-826
Constructing interpolation curves by the grid method
p. 827-836
Optimality conditions for degenerate extremum problems with inequality-type constraints
p. 837-854
The optimization of linear and convex functions on an Euclidean combinatorial set of polypermutations
p. 855-869
Difference schemes on composite grids for hyperbolic equations
p. 870-885
Modifications of the splitting method for constructing economical difference schemes
p. 886-897
A numerical-analytic method for solving Landau's two-dimensional kinetic equation in self-similar variables
p. 898-908
A spectral finite-difference method of calculating turbulent flows of an incompressible fluid in pipes and channels
p. 909-925
Regularization of the thermal flaw detection problem
p. 926-935
Applying optimal difference grids to problems with singular perturbations
p. 936-943
The construction of explicit $C$-stable schemes of maximum odd order of accuracy
p. 943-954
Vortical formations in a viscous fluid
p. 955-959

Sommaire du Fascicule no. 7

Nikolaĭ Sergeevich Bakhvalov (on the occasion of his sixtieth birthday)
p. 963-964
The construction of approximate integral funnels of differential inclusions
p. 965-977
The use of lower bounds in minimization by the interior-point method
p. 978-983
Optimal dynamic recognition and decision-making
p. 984-1000
D'Alembert substitutions and adjoint differential equations (computer-algebraic aspects)
p. 1001-1014
Conditions for the convergence of iterative methods with complete splitting of the boundary conditions for the Stokes system in a circle and an annulus
p. 1015-1037
The use of the singular perturbations method to calculate the electromagnetic-wave-scattering operator in open periodic waveguide structures
p. 1038-1052
The problem of the eddy current distribution. Existence and uniqueness theorems and a solution algorithm
p. 1053-1066
Discontinuous solutions of a viscous transonic equation
p. 1067-1081
Problems of discrete vector optimization on systems of subsets which cannot be solved using a linear convolution algorithm
p. 1082-1094
Algorithms of projective optimization which use the multipliers of previous iterations
p. 1095-1103
The limit amplitude of the initial and boundary-value problem for an equation of composite type in a multiply connected domain
p. 1104-1111
The theory of convex continuations of functions at the vertices of convex polygons
p. 1112-1119

Sommaire du Fascicule no. 8

The solution of linear algebraic systems by polynomial iterative
p. 1123-1132
Approximation methods for problems of nonlinear programming
p. 1133-1149
Well-posedness and bounds of solutions of singular Cauchy problems for systems of nonlinear ordinary differential equations
p. 1150-1167
Contrasting structures in systems of singularly perturbed equations
p. 1168-1178
A dual asymptotic model for solving elliptic equations
p. 1179-1193
The asymptotic form for long times of the solution of the Boussinesq equation with dissipation
p. 1194-1205
Effects of diffusion instability in inhomogeneous conditions
p. 1206-1218
The solution of Abel's integral equation by a modified broken line of minimum length method
p. 1219-1236
Dirichlet's problem for the Helmholtz equation outside cuts in a plane
p. 1237-1258
Cumulative and nonlinear phenomena in the local supersonic region
p. 1259-1271
Methods of finding all minimum coverings of a graph by cliques
p. 1272-1292
The stabilizer of the set of asymmetric Toeplitz matrices
p. 1293-1298
Step-by-step quadratic penalty solution of a quadratic programming problem
p. 1298-1306
Periodic solutions with boundary layers of a singularly perturbed reaction–diffusion model
p. 1307-1315
The stability of difference schemes with variable weights for the one-
p. 1316-1322
Explicit solution of an initial-boundary value problem of the theory of
p. 1323-1330
Explicit finite-difference scheme for the magnetohydrodynamic equations taking the Hall effect into account
p. 1330-1335
An implicit iterative scheme for calculating the flows of a viscous incompressible fluid
p. 1335-1343

Sommaire du Fascicule no. 10

Differential properties of the extremum function with respect to a Lipschitzian many-valued mapping
p. 1347-1357
Stable Lyapunov manifolds for autonomous systems of nonlinear ordinary differential equations
p. 1358-1379
A singulary perturbed “reaction–diffusion–transfer” system which degenerates into a system of two first-order differential equations
p. 1380-1400
Step-like contrasting structures for a system of singularly perturbed equations
p. 1401-1411
Numerical solution of elliptic boundary-value problems by the finite-element method using $B$-splines
p. 1412-1426
A mathematical problem in missile theory
p. 1427-1443
Profiling the optimal contour of a supersonic nozzle in highly turned flow
p. 1444-1460
The solvability of vector integro-differential equations for the problem of the diffraction of an electromagnetic field by screens of arbitrary shape
p. 1461-1475
Exact solutions of some external problems described by non-stationary viscous transonic equations
p. 1476-1488
Self-consistent isolation of discontinuities in through calculations of gas-dynamic flows
p. 1489-1502
The convergence in weak topologies of approximate methods for an isentropic gas-dynamic system
p. 1503-1519
The effect of rounding errors for systems of linear algebraic
p. 1520-1523
A method of solving some multiparameter eigenvalue problems that arise
p. 1524-1525
The fundamental solution of the model equation of an incompressible stratified liquid
p. 1528-1534
Analytic integration of the transport equation with respect to the mean free path in a problem with a barrier geometry and an infinite plane source
p. 1535-1541
A class of solutions of the problem of optimizing the nozzle of a water
p. 1541-1550
Niederreiter H. Random number generation and quasi-Monte Carlo methods. (CBMS-NSF regional conference series in applied mathematics, v. 63.) Philadelphia, Penn.: SIAM, 1992. VI +242 p. Book review

Sommaire du Fascicule no. 11

Anatolii Alekseevich Borodnicyn | (1910–1994)
p. 1555-1557
A symmetrized Stone's method
p. 1558-1566
The well-posedness of nonlinear operator equations
p. 1567-1584
Subsystems of control systems and control problems with equality-type constraints on the phase variables
p. 1585-1596
An iterative method of solving problems of the optimal control of singularly perturbed systems with quadratic constraints
p. 1597-1616
Practical realization and efficiency of numerical methods for solving the Cauchy problem with an algebraic constraint
p. 1617-1631
A grid approximation of singularly perturbed quasilinear elliptic and parabolic equations which degenerate into equations without spatial derivatives
p. 1632-1651
Neumann's problem for the Helmholtz equation outside cuts in the plane
p. 1652-1665
Numerical solution of the inverse problem of reconstructing the source
p. 1666-1679
An approximate factorization scheme for calculating gas flows in channels
p. 1680-1692
Numerical solution of the Navier-Stokes equations using variational iteration methods
p. 1693-1703
Tridiagonal forms of complex symmetric and persymmetric matrices
p. 1704-1709
A constructive iterative procedure for solving operator equations
p. 1710-1718
The asymptotic form of the solution of an elliptic equation with the singularly perturbed boundary condition
p. 1718-1723
The construction of monotone schemes of any order of approximation for one class of equation
p. 1723-1729
A modification of Glimm's method for solving the equations of gas
p. 1729-1732
Order parameters in a Hopfield neural network
p. 1733-1741
An algorithm for improving the convergence of an iterative method of solving optimal control problems by nonlinear deformation of the time axis
p. 1741-1742
Books review

Sommaire du Fascicule no. 12

Tree organization of the data structure for Cholesky factorization
p. 1747-1756
A parametric approximation
p. 1757-1769
A hierarchical multicriteria procedure for improving a basic solution in problems of large dimensions
p. 1770-1781
Orthogonal difference pivotal condensation for two-point grid equations of general form with separate multipoint boundary conditions
p. 1782-1792
The method of additive separation of singularities for quasilinear singularly perturbed elliptic and parabolic equations
p. 1793-1814
Embedding theorems for the traces of grid functions in three dimensions
p. 1815-1831
Regionally additive difference schemes with a stabilizing correction for parabolic problems
p. 1832-1842
The accuracy of approximations on rectangular grids in problems of the theory of elasticity with singularities
p. 1843-1851
Features of the numerical simulation of the target of inertial thermonuclear synthesis in the approximation of heat conduction gas dynamics
p. 1852-1866
Multi-grid solution of Euler's equations on unstructured grids
p. 1867-1883
The correct solution of the problem of the numerical differentiation of functions of one or several variables
p. 1884-1889
The use of the method of compact differences on spaced grids
p. 1890-1895
A generalization of the method for solving the eigenvalue problem for Hamiltonian systems
p. 1896-1901
The Wiener–Hopf equations and the mathematical theory of diffraction
p. 1902-1909