Geodesic

Sommaire du Fascicule no. 1

Application of half-derivatives in numerical analysis
p. 3-17
Methods of Chebyshev points of convex sets and their applications
p. 18-32
Asymptotics of a second-order differential equation with a small parameter in the case when the reduced equation has two solutions
p. 33-45
On immediate-delayed exchange of stabilities and periodic forced canards
p. 46-61
Corner boundary layer in nonlinear singularly perturbed elliptic problems
p. 62-79
Matrix correction of a dual pair of improper linear programming problems with a block structure
p. 80-89
Uniform grid approximation of nonsmooth solutions to the mixed boundary value problem for a singularly perturbed reaction-diffusion equation in a rectangle
p. 90-114
Inverse coefficient problem for a wave equation in a bounded domain
p. 115-126
Asymptotic theory of perturbations inducing a pressure gradient in a transonic flat-plate boundary layer
p. 127-145
The Korteweg–de Vries equation in a cylindrical pipe
p. 146-153
Two-particle density matrix and the electron-proton interaction pseudopotential at ultralow temperatures
p. 154-158
Local elimination algorithms for solving sparse discrete problems
p. 159-175
Solving clusterization problems using groups of algorithms
p. 176-192

Sommaire du Fascicule no. 2

On the 75th birthday of Professor Evgenii Aleksandrovich Grebenikov
p. 195-200
Computation of the commutator of $2\times2$ matrices via five multiplications
p. 201-205
On a theorem in spline theory
p. 206-211
Construction of lattice rules with a trigonometric $d$-property on the basis of extreme lattices
p. 212-219
Minimizing sequences in optimal control with approximately given input data and the regularizing properties of the Pontryagin maximum principle
p. 220-236
Numerical solution of bilinear programming problems
p. 237-254
The method of feasible directions for mathematical programming problems with preconvex constraints
p. 255-263
Application of wavelet transforms to the solution of boundary value problems for linear parabolic equations
p. 264-281
Calculation of an unsteady moving-boundary flow in a porous medium by the generalized method of integral relations
p. 282-287
Initial-boundary value problem and integrodifferential equations of electrodynamics for an inhomogeneous conductive body
p. 288-296
Optimal control problem for steady-state equations of acoustic wave diffraction
p. 297-308
Software package for 3D viscous gas flow simulation on multiprocessor computer systems
p. 309-320
Heat transfer in a gas mixture between parallel plates
p. 321-328
Algorithms for finding logical regularities in pattern recognition
p. 329-344
In memory of academician Valentin Vital'evich Rumyantsev (1921–2007)
p. 345-351
Correction

Sommaire du Fascicule no. 3

Partial regularization method for nonmonotone variational inequalities
p. 355-364
Exact penalties for optimization problems with 2-regular equality constraints
p. 365-372
Investigation of variational problems by direct methods
p. 373-386
Projection onto polyhedra in outer representation
p. 387-396
Duality theory of optimal adaptive methods for polyhedral approximation of convex bodies
p. 397-417
Optimal first- to sixth-order accurate Runge–Kutta schemes
p. 418-429
Numerical solution to systems of delay integrodifferential algebraic equations
p. 430-444
Parabolicity of the quasi-gasdynamic system of equations, its hyperbolic second-order modification, and the stability of small perturbations for them
p. 445-472
The weakly dissipative version of the Kolmogorov–Arnold–Moser theory and practical calculations
p. 473-490
Finite-difference method for the Navier–Stokes equations in a variable domain with curved boundaries
p. 491-504
Piecewise parabolic method on a local stencil for ideal magnetohydrodynamics
p. 505-528
Building correct estimation algorithms as a constrained optimization problem
p. 529-535
Letter to the editorial board

Sommaire du Fascicule no. 4

Iterative processes based on block $H$-splittings
p. 539-561
Linear interval equations with symmetric solution sets
p. 562-569
Construction of hyperbolic interpolation splines
p. 570-579
Computational scheme for invariantly unbiased estimation of linear operators in a given class
p. 580-592
Decentralized optimal control of a group of dynamical objects
p. 593-609
Method of orthogonal simplexes and its applications to convex programming
p. 610-622
Optimal control of a magnetohydrodynamic viscous heat-conducting gas flow
p. 623-632
Cauchy problem for Mathieu's equation at parametric resonance
p. 633-650
On certain alternating boundary-layer solutions to singularly perturbed parabolic equations
p. 651-659
Approximation of a system of singularly perturbed reaction-diffusion parabolic equations in a rectangle
p. 660-673
Reconstruction of the right-hand side of a parabolic equation
p. 674-680
Analytical solutions to the heat conduction problems for a cylinder and a ball based on determining the temperature perturbation front
p. 681-692
Fronts, traveling fronts, and their stability in the generalized Swift–Hohenberg equation
p. 693-712
Iterative method for finding the eigenfunctions of a system of two Schrödinger equations with combined nonlinearity
p. 713-724
Influence of cubic nonlinearity on the dispersion relation for long waves on a water surface
p. 725-728

Sommaire du Fascicule no. 5

Approximation of finite-section equations by piecewise constant functions
p. 731-745
Spectral reduction for control systems modeling passive integrated circuits
p. 746-762
The initial convergence rate of adaptive methods for polyhedral approximation of convex bodies
p. 763-778
Comparison of Lagrangian bounds for one class of generalized assignment problems
p. 779-787
Computational bounds for local search in combinatorial optimization
p. 788-807
Traveling-wave solution to a nonlinear equation in semiconductors with strong spatial dispersion
p. 808-812
Conditioning of finite difference schemes for a singularly perturbed convection-diffusion parabolic equation
p. 813-830
Variational method for adaptive mesh generation
p. 831-850
Optimal control of the solidification process in metal casting
p. 851-862
Trapped modes in a cylindrical elastic waveguide with a damping gasket
p. 863-881
Dynamics of a rotating layer of an ideal electrically conducting incompressible fluid
p. 882-898
A posteriori joint detection of reference fragments in a quasi-periodic sequence
p. 899-915
Metrics of algebraic closures in pattern recognition problems with two nonoverlapping classes
p. 916-927
In memory of professor Yurii Dmitrievich Shmyglevskii (1926–2007)
p. 928-936

Sommaire du Fascicule no. 6

Some remarks concerning the Fourier transform in the space $L_2(\mathbb R)$
p. 939-945
Optimal control synthesis in therapy of solid tumor growth
p. 946-966
Observability of elastic vibrations of a beam
p. 967-973
On the boundedness of outer polyhedral estimates for reachable sets of linear systems
p. 974-989
The modified method of refined bounds for polyhedral approximation of convex polytopes
p. 990-998
Nonlinear eigenvalue problem for second-order Hamiltonian systems
p. 999-1002
On solutions to two-dimensional systems realizing the transition from an unstable equilibrium to a stable cycle
p. 1003-1013
Grid approximation of a parabolic convection-diffusion equation on a priori adapted grids: $\varepsilon$-uniformly convergent schemes
p. 1014-1033
Symmetric hyperbolic equations in the nonlinear elasticity theory
p. 1034-1055
Nonlocal overdetermined boundary value problem for stationary Navier–Stokes equations
p. 1056-1061
Propagation of perturbations in a two-layer stratified fluid with an interface excited by moving sources
p. 1062-1086
Error estimates for kernel and projection methods of recovering the orientation distribution function on $\mathrm{SO}(3)$
p. 1087-1101
Newton's method as applied to the Riemann problem for media with general equations of state
p. 1102-1110
One-velocity model of a heterogeneous medium with a hyperbolic adiabatic kernel
p. 1111-1125
On the faces of an $n$-dimensional cube
p. 1126-1139
In memory of Nikolai Makarovich Nagornyi (1928–2007)
p. 1140-1144

Sommaire du Fascicule no. 7

On the 100th anniversary of birthday of Academician Il'ya Nestorovich Vekua (1907–1977)
p. 1147-1155
On a special basis of approximate eigenvectors with local supports for an isolated narrow cluster of eigenvalues of a symmetric tridiagonal matrix
p. 1156-1166
A constructive algorithm for folding large-scale systems of linear inequalities
p. 1167-1180
Determining the multiplicity of a root of a nonlinear algebraic equation
p. 1181-1186
Global search in the optimal control problem with a terminal objective functional represented as the difference of two convex functions
p. 1187-1201
On the self-adjoint nonlinear eigenvalue problem for Hamiltonian systems of ordinary differential equations with singularities
p. 1202-1208
A method of Fourier series for solution of problems in piecewise inhomogeneous domains with rectilinear crack (screen)
p. 1209-1213
On the behavior of solutions to the Cauchy problem for a degenerate parabolic equation with inhomogeneous density and a source
p. 1214-1229
Spline collocation method for linear singular hyperbolic systems
p. 1230-1249
Unstructured-grid finite-volume discretization of the Navier–Stokes equations based on high-resolution difference schemes
p. 1250-1273
Features of wave packets in the plane Poiseuille–Couette flow
p. 1274-1281
Arbitrary-order difference schemes for solving linear advection equations with constant coefficients by the Godunov method with antidiffusion
p. 1282-1293
Kinetic model of the Boltzmann equation with limiting gas flow regimes at low Knudsen numbers
p. 1294-1308
Combined method for solving an inverse boundary value problem of aerohydrodynamics for an axisymmetric body
p. 1309-1317
Feature selection algorithm in classification learning using support vector machines
p. 1318-1336

Sommaire du Fascicule no. 8

Reachability of condensed forms via unitary congruence transformations
p. 1339-1343
Quadrature formulas for periodic functions and their application to the boundary element method
p. 1344-1361
Regularizing algorithms for detecting discontinuities in ill-posed problems
p. 1362-1370
Numerical algorithm for variational assimilation of sea surface temperature data
p. 1371-1391
Automatic step size and order control in explicit one-step extrapolation methods
p. 1392-1405
Classification of hexahedral cells
p. 1406-1428
Two splitting schemes for the nonstationary convection-diffusion problem on tetrahedral meshes
p. 1429-1447
Automatic parallel generation of tetrahedral grids by using a domain decomposition approach
p. 1448-1457
Convergence in the form of a solution to the Cauchy problem for a quasilinear parabolic equation with a monotone initial condition to a system of waves
p. 1458-1487
Epidemic dynamics in a heterogeneous incompletely isolated population with allowance for seasonal variations in the infection rate
p. 1488-1499
Mathematical modeling of angular distortions in laser ranging of the RadioAstron satellite
p. 1500-1509
Controlled networks and their applications
p. 1510-1525
In memory of academician of the Russian Academy of Sciences Aleksandr Andreevich Samarskii (1919–2008)
p. 1526-1528

Sommaire du Fascicule no. 9

On the 90th anniversary of the birthday of Academician Nikita Nikolaevich Moiseev
p. 1531-1539
Overview of some new results concerning the theory and applications of the Rayleigh special function
p. 1540-1542
Discrete stochastic consistent estimators of the Monte Carlo method
p. 1543-1555
Average behavior of greedy algorithms for the minimization knapsack problem: General coefficient distributions
p. 1556-1570
Iterative proximal regularization of the modified Lagrangian functional for solving the quasi-variational Signorini inequality
p. 1571-1579
Automatic step size and order control in implicit one-step extrapolation methods
p. 1580-1606
Asymptotic behavior of solutions to multiplicative control problems for elliptic equations
p. 1607-1618
Boundary value problems for certain classes of loaded differential equations and solving them by finite difference methods
p. 1619-1628
Sufficient close-to-necessary conditions for the blowup of solutions to a strongly nonlinear generalized Boussinesq equation
p. 1629-1637
Some aspects of grid generation
p. 1638-1658
Three-dimensional generalization for W-modification of a Godunov method
p. 1659-1672
Refined-mesh interpolation method for functions with a boundary-layer component
p. 1673-1684
Finding nonoscillatory solutions to difference schemes for the advection equation
p. 1685-1697
Soliton solutions to generalized discrete Korteweg–de Vries equations
p. 1698-1709
Effect of vertical vibrations on a two-layer system with a deformable interface
p. 1710-1720
Implementation of a method for constructing a recognition algorithm in algebra over an estimate calculation set
p. 1721-1727
Strong regularity of a family of face-to-face partitions generated by the longest-edge bisection algorithm

Sommaire du Fascicule no. 10

Numerical spectral analysis of temporal stability of laminar duct flows with constant cross sections
p. 1731-1747
Constructing open-loop and closed-loop solutions of linear-quadratic optimal control problems
p. 1748-1779
A primal interior point method for the linear semidefinite programming problem
p. 1780-1801
Two methods for minimizing convex functions in a class of nonconvex sets
p. 1802-1811
A descent method with inexact linear search for nonsmooth equilibrium problems
p. 1812-1818
Third-order nonlinear dispersive equations: Shocks, rarefaction, and blowup waves
p. 1819-1846
Asymptotics of eigenvalues of the Dirichlet boundary value problem for the Lame operator in a three-dimensional domain with a small cavity
p. 1847-1858
Nonlinear dispersion equations: Smooth deformations, compactions, and extensions to higher orders
An initial-boundary value problem for a Sobolev-type strongly nonlinear dissipative equation
p. 1860-1877
Locally one-dimensional difference schemes for the fractional order diffusion equation
p. 1878-1887
The number of energy levels of a particle in a uniform MQW structure
p. 1888-1907
Methods for computer simulation of crystal sputtering
p. 1908-1920

Sommaire du Fascicule no. 11

Localization of the eigenvalues of a pencil of positive definite matrices
p. 1923-1931
Regularization Extragradient Method for Lipschitz Continuous Mappings and Inverse Strongly-Monotone Mappings in Hilbert Spaces
An optimal regularizing algorithm for the recovery of functionals in linear inverse problems with sourcewise represented solution
p. 1933-1941
Asymptotic method for solving the time-optimal control problem for a nonlinear singularly perturbed system
p. 1942-1951
Methods of support cones and simplices in convex programming and their applications to physicochemical systems
p. 1952-1967
Inverse complementarity in a resource deficit model
p. 1968-1978
Parametric importance of criteria and intervals of value tradeoff uncertainty in the analysis of multicriteria problems
p. 1979-1998
Numerical techniques for finding equilibrium in von Neumann's model
p. 1999-2007
An efficient scheme for the implementation of implicit Runge–Kutta methods
p. 2008-2018
Bubbles and Droplets in Nonlinear Physics Models: Analysis and Numerical Simulation of Singular Nonlinear Boundary Value Problem
p. 2019-2023
First-order partial differential equations with large high-frequency terms
p. 2024-2041
Sufficient conditions for the blowup of a solution to the Boussinesq equation subject to a nonlinear Neumann boundary condition
p. 2042-2045
Construction of asymptotic solutions to conjugation problems
p. 2046-2057
Generation of three-dimensional block-structured grids based on rotation of two-dimensional multiply connected cross sections
p. 2058-2066
Dynamic adaptation method in gasdynamic simulations with nonlinear heat conduction
p. 2067-2080

Sommaire du Fascicule no. 12

A stopping criterion for the iterative solution of an overdetermined system of linear algebraic equations
p. 2083-2091
A continuation method for solving symmetric Toeplitz systems
p. 2092-2106
Newton's method as a tool for finding the eigenvalues of certain two-parameter (multiparameter) spectral problems
p. 2107-2112
Some remarks concerning the Fourier transform in the space $L_2(\mathbb R^n)$
p. 2113-2120
The use of additional diminishing disturbances in Fejer models of iterative algorithms
p. 2121-2128
On the best parametrization
p. 2129-2140
Local dynamics of equations with large delay
p. 2141-2150
The polygonal method for constructing exact solutions to certain nonlinear differential equations describing water waves
p. 2151-2162
Wavelet method for solving the unsteady porous-medium flow problem with discontinuous coefficients
p. 2163-2179
On the problem of superconvergence of finite element method algorithms
p. 2180-2185
Propagation of TM waves in a Kerr nonlinear layer
p. 2186-2194
Hertzian contact problem: Numerical reduction and volumetric modification
p. 2195-2211
TVD scheme for computing open channel wave flows
p. 2212-2224
Moments of the critical parameters of the transport of particles in a random medium
p. 2225-2236
The use of order statistic numerical simulation algorithms
p. 2237-2246
A posteriori joint detection of a recurring tuple of reference fragments in a quasi-periodic sequence
p. 2247-2260