Geodesic

Sommaire du Fascicule no. 1

Finding a saddle point in antagonistic games
p. 3-8
An approach to the solution of integer optimization problems
p. 9-16
Primal-dual Newton method for linear programming problems
p. 17-32
Algorithms for maximization of supermodular functions and their application in the optimization of grouping provinces in a region
p. 33-44
Accurate three-point difference schemes for second-order nonlinear ordinary differential equations and their implementation
p. 45-60
Estimation of the convergence rate of difference schemes for elliptic problems
p. 61-69
Asymptotic analysis of the problem of contact of a highly conducting and a perforated domain
p. 70-86
A numerical scheme for thermal convection problems
p. 87-97
On some finite element implementations of iterative methods with splitting of boundary conditions for Stokes and Stokes-type systems in a spherical layer: Axially symmetric case
p. 98-123
Self-similar solutions to the nonlinear wave equation for the Higgs fields in the de Sitter space
p. 124-140
A macroscopic gas model with translational and rotational nonequilibrium
p. 141-153
Compact difference scheme with scalar Gaussian elimination for integration of gas-dynamic equations
p. 154-162
A conservative method for solving the Boltzmann equation with centrally symmetric interaction potentials
p. 163-176

Sommaire du Fascicule no. 2

Correction to: “The use of generalized spherical functions for solving the spherically symmetric problem of the dynamo effect”
The 60th birthday of Aleksei Alekseevich Arsen'ev
p. 181-182
The contribution of D. K. Faddeev to the development of computational methods in linear algebra
p. 183-186
An algorithm for solving the matrix difference Riccati equation
p. 187-194
Optimization of projection methods for linear ill-posed problems
p. 195-203
On reproducing kernels of a ball
p. 204-207
Substantiation of interior point algorithms
p. 208-221
Convexifiers and implicit functions in nonsmooth system
p. 222-234
On the examination of the solution to implicitly defined ordinary differential equations
p. 235-238
Dual grids and their application to the boundary element method
p. 239-253
Uniform difference schemes for a heat equation with concentrated heat capacity
p. 254-261
Singularly perturbed boundary value problems with locally perturbed initial conditions: Equations with convective terms
p. 262-279
On the lifetime of one-dimensional transient contrast structures
p. 280-288
Refined theory and models of supersonic inviscid gas flow past a wedge and cone
p. 289-293
Application of the numerical marker-and-cell method in a polar coordinate system
p. 294-299
Mathematical modeling of structure formation in a polymer blend
p. 300-308
A special form of boundary conditions for a the set of equations of low-temperature plasma
p. 309-314
Application of the finite element method to the calculation of modes of dielectric waveguides
p. 315-322
On the accuracy of solving difference equations that describe the behavior of a plate under a dynamic load
p. 323-331
The effect of weak dissipation on the solution of the problem of shock-free compression of a planar gas layer
p. 332-340
Polynomial solvability of special problems of disjunctive programming
p. 341-345
Estimating the complexity of deciphering a threshold functions in a $k$-valued logic
p. 346-352

Sommaire du Fascicule no. 3

The 60th birthday of Yurii Gavrilovich Evtushenko
p. 355-356
Computer algebra procedures for verifying the definiteness of a matrix on a subspace
p. 357-370
On solving indefinite symmetric linear systems by means of the Lanczos method
p. 371-377
A fast algorithm for solving a two-parameter least squares problem
p. 378-385
Approximate search for a global minimum in problems of mathematical programming that are close to convex
p. 386-417
An approximate solution to the linear problem of minimizing resource consumption
p. 418-430
Convergence of the primal-dual Newton method for linear programming problems
p. 431-445
Efficient algorithms for approximation of nonsmooth convex bodies
p. 446-450
On the internal layer in solutions to singular perturbed problems in the case of a change in stability
p. 451-457
A one-dimensional unsteady contrast structure in an honhomogeneous medium
p. 458-471
Sharp error estimates of vector splitting methods for the heat equation
p. 472-491
Modifications of the method of phase functions as applied to singular problems in quantum physics
p. 492-522
Some results on the convergence of the Arrow–Hurwicz algorithm for Stokes-type algebraic systems
p. 523-533
Numerical analysis of supersonic flows around a sharp-nosed elliptic cone
p. 534-542
The inverse basis as applied to the mean-square approximation of a function
Corrections to: “On a quantitative measure of the stability of a vector problem of integer programming”
Corrections to: “Problems in the modeling of separated flows of a viscous incompressible fluid around bodies”

Sommaire du Fascicule no. 4

Aleksandr Andreevich Samarskij (on the occasion of his eightieth birthday)
p. 547-548
On the gradient method in a Hilbert space in the case of nonisolated minima
p. 549-552
Iterative regularization algorithms for monotone variational inequalities
p. 553-560
Convergence rates in regularization for Hammerstein equations
p. 561-566
A four-parameter two-step regularized projection method for minimization
p. 567-572
An algorithm for solving optimal control problems
p. 573-587
On the principal eigenfunction of a singularly perturbed Sturm–Liouville problem
p. 588-591
A finite difference scheme for quasi-averaged equations of one-dimensional viscous heat-conducting gas flow with nonsmooth data
p. 592-611
On the asymptotic behavior of the solution to the convection-diffusion problem around a cylinder
p. 612-617
The maximum principle and nonlinear monotone schemes for parabolic equations
p. 618-629
On series solutions of the magnetostatic integral equation
p. 630-637
A nuclear reactor as a stiff system: asymptotic integration methods for the dynamic equations
p. 638-652
Bifurcations of nonuniform steady states in the problem of phase separation in a binary polymer blend
p. 653-659
On the motion of a wave front in a bistable medium
p. 660-662
Differentiability of the elastic-collision integral with respect to energy in problems of neutron moderation
p. 663-669
On a class of grid approximations for nonlinear problems in plate theory
p. 670-680
A reflection formula for the Helmholtz equation with the Neumann condition
p. 681-689
A block-parametric method for finding shortest paths in a graph
p. 690-696
On the correctness of linear closure in a class of estimation algorithms
p. 697-703
Correction to: “On the problem of linear approximation of solutions of nonlinear operator equations”

Sommaire du Fascicule no. 5

Stable singular solutions of nonlinear operator equations with a parameter
p. 707-717
Analysis of local regularization methods and formulation of suboptimal filtration method for an equation of the first kind
p. 718-733
A continuous method for constrained minimization problems
p. 734-742
Multidimensional global optimization using the first derivatives
p. 743-752
Study of the linear parametrization of criteria in the bicriteria knapsack problem
p. 753-758
A new interval approach to global optimization
p. 759-769
Stability analysis of the minimum spanning tree problem
p. 770-778
The problem of finding the dominant term of the corner part of the asymptotics of the solution to a singularly perturbed elliptic equation with a nonlinearity
p. 779-791
On contrast structures of variable type
p. 792-800
Evolution of two-dimensional contrast structures of complex form
p. 801-811
Existence, local uniqueness, and asymptotics of two-dimensional periodic steplike contrast structures
p. 812-831
An elliptic grid generator based on quasi-one-dimensional grids
p. 832-837
Monotone high-order accurate schemes for transport and parabolic equations
p. 838-849
Computation of unsteady flows with a scheme of improved accuracy
p. 850-864

Sommaire du Fascicule no. 6

Estimates for the elements of inverse matrices under the conditions of regularity criteria
p. 867-875
On computer algebra procedures constructing matrices with prescribed eigenvalues and diagonal entries
p. 876-881
Iterative methods for computing weighted minimum-length least squares solution with a singular weight matrix
p. 882-896
Equilibriums in differential games and problems of acceptance of offers
p. 897-905
On the continuity of convex polynomial quasi-bounded mappings
p. 906-918
An efficient algorithm for stiff elliptic problems with applications to the method of fictitious domains
p. 919-931
Application of discrete nets on a hyperbolic plane in the integration of equations of the Lobachevski class
p. 932-942
The computational stability of boundary equations of the first kind in problems of diffraction near resonances
p. 943-969
On the well-posedness of the Cauchy problem for the mean field equations describing a solid magnet
p. 970-988
Application of the Case method in the analytic solution of a generalized problem of skin effect in a metal
p. 989-1005
Unsteady waves in anisotropic dispersive media
p. 1006-1022
Profiling the contour of an intake valve in an internal combustion engine by the hodograph method
p. 1023-1031
Polynomial estimation of the complexity of algorithms
p. 1032-1040
A polynomial algorithm for the multi-index decision problem
p. 1041-1044
Certain problems associated with Boolean polynomials
p. 1045-1054
Anatoj Platonovich Prodnikov (1927–1999)
p. 1055-1056

Sommaire du Fascicule no. 7

Rational functions in solving linear equations by the Tikhonov regularization method
p. 1059-1068
Computational aspects of the application of Frobenius matrix to separation of roots of polynomials
p. 1069-1073
Stability of projection-iterative methods
p. 1074-1084
Construction of an approximation to the normal solution to a Fredholm equation of the second kind on the spectrum
p. 1085-1090
A combined method for variational inequalities with monotone operators
p. 1091-1097
Improving the accuracy of eigenvalues and eigenfunctions of a boundary value problem on semiaxis
p. 1098-1118
Nonlinear spectral problem for the Sturm–Liouville equations with coupled boundary conditions depending on a spectral parameter
p. 1119-1133
Some numerical efficiency estimates for the transformation of the Cauchy problem for differential equations to the best argument
p. 1134-1141
An approximate conformal mapping of a trapezoid onto a rectangle and its inversion obtained by the block method
p. 1142-1150
Efficient high-order accurate finite-difference schemes for multidimensional parabolic equations on nonuniform grids
p. 1151-1157
Grid bases of orthogonal compactly supported functions
p. 1158-1168
The boundary element method for plane potential problems with open boundary lines
p. 1169-1179
The inverse problem of reconstruction of dielectric permitivity with a discontinuous profile
p. 1180-1187
A mechanical analogy for electromagnetic fields and particles
p. 1188-1195
Parallel Stokes flow in a ring-like structure
p. 1196-1204
Simulation of spreading hydrodynamics for a droplet of an incompletely wetting liquid under a horizontal force
p. 1205-1210
Symmetric and dipole components of the velocity and temperature fields above a rotating disk
p. 1211-1215
Application of a solution to the Riemann problem in the SPH method
p. 1216-1225
Numerical solution of the equations of three-dimensional viscous shock layer in the vicinity of blunt bodies placed in a stream at the angle of attack
p. 1226-1235
Linearized two-dimensional problem of rarefied gas flow in a long channel
p. 1236-1245
A combinatorial method for the evaluation of probabilities of complex Boolean functions

Sommaire du Fascicule no. 8

Copositive matrices
p. 1253-1279
An extension of the Sherman–Morrison identity to the case of rank-one modification of the full rank pseudoinverse matrix
p. 1280-1282
Singular solutions of parametric equations and the method of artificial parametrization
p. 1283-1289
Automatic construction of integration mesh for boundary value problems with boundary layers
p. 1290-1295
Alternating contrast structures
p. 1296-1304
A spikelike solution and a critical steplike solution to a singularly perturbed second-order equation
p. 1305-1316
Resonance solutions to a scattering problem for the Sturm–Liouville equation on semiaxis
p. 1317-1327
Difference generalized Poincaré–Steklov operators and potentials with densities from a jump space
p. 1328-1336
Numerical analysis of the Fokker–Planck equation
p. 1337-1347
On a spectral problem of the theory of dielectric waveguides
p. 1348-1355
Algorithms for numerical solution of quasi-gasdynamic equations
p. 1356-1371
The harmonic resonance in a low-viscosity stratified liquid
p. 1372-1377
Numerical algorithms for viscous fluid flows based on high-order accurate conservative compact schemes
p. 1378-1392
Numerical simulation of weak shock diffraction over a wedge under the von Neumann paradox conditions
p. 1393-1404
Instability of an axisymmetric boundary layer in a transonic free stream
p. 1405-1414
Comparison of algorithms for decoding monotone functions by the statistical simulation method
p. 1415-1421
Anatolii Fedorovich Sidorov (1933–1999)
p. 1422-1424

Sommaire du Fascicule no. 9

Matrix completion problems with arbitrary locations of prescribed entries
p. 1427-1444
Some generalizations of the Chebyshev method for simultaneous determination of all roots of polynomial equations
p. 1445-1452
On the stabilizing properties of the gradient method for unstable approximate schemes
p. 1453-1463
Sequential synthesis of time-optimal control
p. 1464-1478
An optimal control problem of initial data restoration
p. 1479-1488
Regularization of the barrier variational method of grid generation
p. 1489-1503
Singularly perturbed second-order equation with small parameters multiplying the first and second derivatives
p. 1504-1512
Traveling steplike contrast structures
p. 1513-1518
Convergence rate of the Galerkin method for a class of quasilinear operator differential equations
p. 1519-1531
An adaptive algorithm for quasioptimal mesh generation
p. 1532-1551
Asymptotics of the fundamental solution to the equation of two-dimensional internal waves and quasi-front phenomenon
p. 1552-1557
Analysis of the eigenmode spectra of dielectric waveguides
p. 1558-1563
Ordered invariant sets for KdV-type nonlinear evolution equations
p. 1564-1570
Asymptotic solution of a perturbed problem of shock-free compression of a plane gas layer
p. 1571-1580
Nonlinear breakdown of a three-dimensional wave packet in an axisymmetric boundary layer
p. 1581-1588
An application of variational grid generation techniques to the tool-path optimization of industrial milling robots
p. 1589-1600

Sommaire du Fascicule no. 10

Computer algebra procedures for separating the roots of algebraic equations
p. 1603-1619
On quasidefinite matrices with a parameter in the off-diagonal block
p. 1620-1624
Gradient method for linear approximate schemes
p. 1625-1632
Dependence of solutions to terminal linear-quadratic optimal control problems on the initial state vector
p. 1633-1649
Convergence of the method of sequential synthesis of time-optimal control
p. 1650-1661
Uniform convergence with respect to a small parameter of a scheme with central difference on refining grids
p. 1662-1678
On accuracy of difference schemes for nonlinear parabolic equations with generalized solutions
p. 1679-1686
Strong monotonicity of finite-difference schemes for systems of conservation laws
p. 1687-1704
Comparative efficiency of schemes based on upwind compact approximations
p. 1705-1720
A consistent estimate for the dimension of manifolds and self-similar fractals
p. 1721-1729
Radiative transfer in a spherically symmetric medium
p. 1730-1739
Invariants of multiwave nonlinear interaction of femtosecond laser pulses
p. 1740-1748
Numerical simulation of two-soliton solutions to the Zakharov–Kuznetsov equation
p. 1749-1757
A fast algorithm for cutting a rectangle into equal rectangular pieces
p. 1758-1770
Representation of classifications of a finite set of objects in a unit cube
p. 1771-1776

Sommaire du Fascicule no. 11

A stabilization method for equilibrium programming problems with an approximately given set
p. 1779-1786
A numerical solution to some three-parameter spectral problems
p. 1787-1801
Majorizing schemes on unstructured grids in the space of indeterminate coefficients
p. 1802-1820
Influence of the form of convection-diffusion equation on the convergence of the successive over-relaxation method
p. 1821-1827
Bilinear finite element implementations of iterative methods with incomplete splitting of boundary conditions for a Stokes-type system on a rectangle
p. 1828-1854
Absolutely stable third-order accurate Runge–Kutta schemes
p. 1855-1868
On the problem of excitation of a waveguide filled with an inhomogeneous medium
p. 1869-1888
Construction of the bow wave through upstream computation of a supersonic flow by the method of characteristics
p. 1889-1894
Numerical simulation of supersonic flow around slender bodies in a locally conical approximation of the
p. 1895-1903
Efficient formulas for computing estimates for recognition algorithms with arbitrary systems of support sets
p. 1904-1918
A visual pattern, mathematical approaches to pattern definition, and image recognition
p. 1919-1936

Sommaire du Fascicule no. 12

Piecewise uniform regularization of two-dimensional ill-posed problems with discontinuous solutions
p. 1939-1944
Calculation of coefficients of an absolutely convergent series that approximates a functional integral
p. 1945-1950
On some issues related to convergence of multiple Fourier series
p. 1951-1961
The Rayleigh function: Theory and methods for its calculation
p. 1962-2006
Contrast structures in systems of three singularly perturbed equations
p. 2007-2018
Efficient methods for stiff multidimensional multiparametric problems
p. 2019-2049
Analysis of electromagnetic diffraction by three-dimensional bodies using the discrete-sources method
p. 2050-2063
Contact-boundary conditions in electromagnetics: Scattering of a plane wave by a junction of two homogeneous highly absorbing half planes
p. 2064-2072
Conservative differencing for electrodynamics equations
p. 2073-2085
Modeling of with axially symmetric self-focusing X-ray pulses in plasma
p. 2086-2097
Some viscous flows that implement the principle of minimum dissipation of kinetic energy
p. 2098-2103
Correction: “A method for solving selfadjoint multiparameter spectral problems for systems of equations with singularities”