Geodesic

Sommaire du Fascicule no. 1

Computational aspects of the use of Malyshev's formula
p. 3-7
Continuous methods of stable approximation of solutions to non-linear equations in Hilbert space based on a regularized Gauss–Newton scheme
p. 8-17
Error estimation for symmetric velocity profiles reconstructed from multi-path flow measurements
p. 18-29
Probability models, integral equations, and weighted Monte Carlo methods
p. 30-37
Optimal control of the process of the crystallization of a substance
p. 38-50
Mixed complementary problems: regularity, estimates of the distance to the solution, and Newton's Methods
p. 51-69
Dynamic programming algorithms for analysis of non-stationary signals
p. 70-86
Classes of multi-modal functions that allow the search for global extremum by the Fibonacci method
p. 87-92
Construction of a theory of cooperative games without using a characteristic function
p. 93-103
A method for solving a nonlinear nonself-adjoint spectral problem for some systems of linear ordinary differential equations
p. 104-110
Estimates of local and global errors of the Störmer method for systems of equations
p. 111-122
Construction of approximate solutions to initial value problems with a parameter based on Padé approximations and asymptotic expansions
p. 123-135
Electromagnetic fields of dipole sources in stratified media
p. 136-151
Asymptotic of a solution to the initial-boundary value problem for a generalized Burger's equation
p. 152-165
Splitting finite difference schemes for Euler equations based on quasi-gas dynamics equations
p. 166-178
On propagation of disturbances produced by a wave traveling over an inclined bottom in a rotating stratified fluid
p. 179-185
On minimization of specific Boolean functions
p. 186-188
In memory of Stanislav Nikolaevich Borisov (1930–2003)
p. 189-192

Sommaire du Fascicule no. 2

The second order regularization techniques for convex extremal problems in a Banach space
p. 195-205
On computer algebra procedures for a linear least squares problem with linear constraints
p. 206-212
Some convergence problems of double Fourier–Laguerre–Hermite series
p. 213-230
A new method for constructing cubic interpolating splines
p. 231-241
On the quadratic form structure in a mathematical programming problem
p. 242-254
On an estimated accuracy of regularization methods in quadratic minimization problems on a half-space
p. 255-264
The construction of optimal feedback from mathematical models with uncertainty
p. 265-286
Optimization of hyperbolic systems with controlled initial-boundary conditions in the form of differential constraints
p. 287-296
The dynamical decoupled method in the input reconstruction problem
p. 297-307
Investigation of unimprovable equilibrium situations in nonlinear conflict-controlled dynamical systems
p. 308-317
On everywhere differentiable semi-classical approximations to generalized spherical harmonics
p. 318-328
High-order accurate decomposition of the Richardson method for a singularly perturbed elliptic reaction-diffusion equation
p. 329-337
On the convergence of a quadrature-difference method for complete linear singular integral-differential equations on an interval
p. 338-349
Modification and investigation of the T-matrix method as applied to scattering of a plane wave from a perfectly conducting axisymmetric body
p. 350-370
Inverse boundary value problem for an Ekranoplan airfoil with blowing
p. 371-384

Sommaire du Fascicule no. 3

A discretization scheme for the Landweber method
p. 387-396
Convergence rates in regularization for nonlinear ill-posed equations under accretive perturbations
p. 397-402
The Bazley–Fox method with truncations for solving the eigenvalue problem for a pair of symmetric positive bilinear forms
p. 403-420
The application of the wavelet transform with a piecewise linear basis to the evaluation of the Hankel transform
p. 421-425
On the fast computation of the nodes and weights of the Gauss quadrature
p. 426-431
The asymptotic optimization method for linear singularly perturbed systems with the multidimensional control
p. 432-443
The indirect optimal control of dynamical systems
p. 444-466
On difference approximations for some optimization problems
p. 467-475
On the uniform convergence of a classical difference scheme on an irregular grid for the one-dimensional singularly perturbed reaction-diffusion equation
p. 476-492
The numerical solution of initial-boundary value problems for the Sobolev type equations on quasi-uniform grids
p. 493-513
A mixed problem for the Boussinesq equation in a cylindrical domain and the behavior of its solution for large time values
p. 514-527
Lift maximization in a flow around a system of two smooth contours
p. 528-535
The nucleation of a shock wave in the Cauchy problem for the Burgers equation
p. 536-542
The numerical analysis of a turbulence-shock wave interaction in a compressible gas flow
p. 543-552
One-dimensional discrete models of kinetic equations for mixtures
p. 553-558
A numerical experiment on the modeling of solitary waves on the surface of a fluid in an annular channel
p. 559-561
On the implementation complexity of discrete (logical) recognition procedures
p. 562-572
Book Review
p. 573-574
Mathematical modeling: Problems, Methods, Applications. Eds by L. A. Uvarova and A. V. Latyshev. Book Review
p. 574-575
Nattke H. G. Introduction to multi-disciplinary model-building. Book Review
p. 575-576

Sommaire du Fascicule no. 4

Boris Nikolaevich Chetverushkin (on the occasion of his sixtieth birthday)
p. 579-580
On the Tikhonov regularization in spaces of differentiable functions
p. 581-585
Sensitivity analysis for abnormal optimization problems with a cone constraint
p. 586-608
Convergence of an iterative method for a programming problem, which is constrained by a convex smooth surface
p. 609-612
Search for weakly effective solutions
p. 613-622
Construction of three-dimensional sections in the analysis of the efficiency of complex multidimensional systems, based on parametric optimization algorithms
p. 623-639
On the implementation of an elimination method in linear problems with inexactly specified initial data
p. 640-649
On a system of two singularly-perturbed second order quasilinear equations
p. 650-661
Contrast step-like structures with stretched variables depending on various power of the perturbation parameter
p. 662-675
Splitting types of vector bundles constructed from monodromy of a given Fuchsian system
p. 676-685
On a case of equivalence between the collocation method and the Galerkin method
p. 686-693
Nonlinear loaded equations and inverse problems
p. 694-716
On the asymptotics of the eigenvalues of the Laplacian in a domain with the Neumann condition on a cut-out thin tube
p. 717-730
The method of integro-differential equations and continued fractions in the problem of parametric excitation of waves
p. 731-745
Free oscillations of a low-viscosity liquid in a vessel partially filled with a porous medium
p. 746-751
Transformation of evanescent waves near a layered bed
p. 752-763
In memory of Sergeĭ Aleksandrovich Ivanenko
p. 764-768

Sommaire du Fascicule no. 5

On computer-algebra procedures for linear least squares problems with linear inequality constraints
p. 771-776
Jump determination for an original function by using its Laplace transform
p. 777-785
Cubature formulas of high trigonometric accuracy
p. 786-795
Regularized prediction method for solving variational inequalities with an inexactly given set
p. 796-804
An iteratively regularized gradient method for solving nonlinear irregular equations
p. 805-811
Experimental analysis of pseudorandom number generators by means of a new statistical test
p. 812-816
Finding a response matrix for a discrete linear dynamic stochastic system
p. 817-826
Iteration algorithm for projecting a point on a nonconvex manifold in a normed linear space
p. 827-830
On the unimodality of simple Gaussian mixtures
p. 831-839
On the efficient computation of asymptotically sharp estimates for local and global errors in multistep methods with constant coefficients
p. 840-861
Inverse problems of source determination for the two-dimensional Poisson equation
p. 862-871
Multicomponent splitting method for first-order evolution equations
p. 872-882
Special grid approximations for the transport equation in strongly heterogeneous media with the $(x,y)$-geometry
p. 883-903
Numerical solution of the Bogoyavlenskii kinetic equation and the Lotka–Volterra system with diffusion
p. 904-916
Correctness and stabilization of solutions to boundary value problems of chemotaxis
p. 917-943
Numerical approximation of contact problems of fluid filtration
p. 944-952
Mathematical modeling of a supernova explosion on a parallel computer
p. 953-960

Sommaire du Fascicule no. 6

On the dimension of the variety of symmetric matrices with multiple eigenvalues
p. 963-967
A continuous second-order regularization method for monotone equations in a Banach space
p. 968-978
On the polar Newton method in finite-dimensional and Banach spaces
p. 979-985
The fast Ahmed-Rao transform with the frequency subsampling
p. 986-996
An estimate for the $n$th minimal error of linear algorithms for an approximation problem
p. 997-1001
Parametric optimization of nonlinear Goursat–Darboux systems with phase constraints
p. 1002-1022
The use of logarithmic barriers for the solution of variational inequalities
p. 1023-1029
The proximal method for solving nonmonotonic variational inequalities
p. 1030-1038
On the global domain of influence of stable steplike contrast structures in the Dirichlet problem
p. 1039-1061
An asymptotic expansion of the solution for a convective diffusion problem in the trace of a drop
p. 1062-1078
On a variable weight difference scheme for the equations of the one-dimension motion of a viscous compressible barotropic fluid
p. 1079-1092
Asymptotics of a boundary layer solution of a hydrodynamic problem
p. 1093-1106
A method of solving boundary value problems for kinetic equations
p. 1107-1118
Modeling the influence of small-scale dispersion processes in a continuum on the formation of large-scale phenomena
p. 1119-1126
The solution of the Boltzmann equation at small Knudsen numbers
p. 1127-1140
A ring algorithm for the problem of searching for minimal coverings that is not majorized
p. 1141-1146
A parallel algorithm for searching for the shortest path on a prefractal graph
p. 1147-1152

Sommaire du Fascicule no. 7

Computer algebra procedures for the Drazin inversion of a singular matrix
p. 1155-1163
Methods of analytical continuation of the generalized hypergeometric functions ${}_pF_{p-1}(a_1,\dots,a_p;b_1,\dots,b_{p-1};z)$
p. 1164-1186
Modifying the methods for the evaluations of the Chebyshev–Laguerre and the Gauss–Legendre integrals
p. 1187-1195
Conditions for the approximation of equilibrium problems from the value of a functional
p. 1196-1208
Optimization problems with complementary constraints: regularity, optimality conditions and sensibility
p. 1209-1228
Two algorithms for solving a mathematical programming problem with preconvex constraints
p. 1229-1233
New variants of dual interior point algorithms for systems of linear inequalities
p. 1234-1243
On the polynomial complexity of a modified simplex method
p. 1244-1260
A simplified variant of the hierarchy analysis on the ground of nonlinear convolution of criteria
p. 1261-1270
On a step-like contrast structure for a problem of the calculus of variations
p. 1271-1280
Analytical-numerical investigation of delayed exchange of stabilities in singularly perturbed parabolic problems
p. 1281-1288
On properties of the two-dimensional soliton solutions of an evolution equation
p. 1289-1298
On stability of small oscillations in a quasi-dynamic system of equations
p. 1299-1305
Asymptotic behavior of solution to a nonlinear mathematical model of a cascade of serial sorption columns
p. 1306-1313
Numerical study of intense unsteady evaporation from the spherical surface
p. 1314-1328

Sommaire du Fascicule no. 8

On low rank perturbations of the Hermitian and unitary matrices
p. 1331-1345
On an iterative method for the construction the Hadamard mustaches
p. 1346-1355
Multicriteria optimization problems under uncertainty
p. 1356-1363
Optimal control of the melting process and solidification of a substance
p. 1364-1379
Numerical solutions and studies of the non-Cauchy–Kovalevskaya type systems
p. 1380-1387
On multistep methods of the interpolation type with an automated checking of the global error
p. 1388-1409
Global domain of attraction of a step-like contrast structure in a critical case
p. 1410-1431
Stability of the simplest boundary layer solutions and of the contrast structures
p. 1432-1441
The Dirichlet and related problems for a space composed of annular slots at the plane of the semispace interface for an axially symmetric geometry
p. 1442-1449
An analysis of the multigtrid method for the convection-diffusion equations with the Dirichlet boundary conditions
p. 1450-1479
Iteration methods for solution of an inverse problem for a population model
p. 1480-1489
Formation and development of solitary waves propagating in the same direction inside narrow annular channel
p. 1490-1494
Solution to the kinetic equation in the problem of computing the heat flux between coaxial cylinders
p. 1495-1504
Transformation of acoustic disturbances into Tollmien–Schlichting waves in a boundary layer at transonic velocities of the external flow
p. 1505-1510
Codings and their use in the DNF implementation of binary functions
p. 1511-1520

Sommaire du Fascicule no. 9

On the preconditioning of saddle problems by means of saddle operators
p. 1523-1533
Canonical forms of projectors with respect to unitary similarity and their applications
p. 1534-1539
Best parameterization in curve construction
p. 1540-1551
Global optimization of functions with concave support minorant
p. 1552-1563
Application of Newton's method for solving large linear programming problems
p. 1564-1573
Asymptotic form of solution of the degenerate differential equation of third order with a small parameter at the highest derivative
p. 1574-1584
On the numerical solution of loaded systems of ordinary differential equations
p. 1585-1595
Some problems of expansion of functions in double Fourier–Hermite–Jacobi series
p. 1596-1607
On the problem of optimal Fourier filtering for a class of models of nonlinear optical systems with feedback
p. 1608-1618
The spectrum of the eigenfunctions of a self-similar problem for the nonlinear heat equation with a source
p. 1619-1637
Effective moduli of periodic composites of an elongated structure
p. 1638-1653
Functionals on solutions of the Cauchy problem for the Schrödinger
p. 1654-1673
A corner boundary layer in nonmonotone singularly perturbed boundary value problems with nonlinearities
p. 1674-1692
Polyhedron combinatorial properties associated with the shortest path problem
p. 1693-1696
On optimal decompositions of finite metric configurations in pattern recognition problems
p. 1697-1707
Simple formulas for calculating estimates in recognition algorithms based on voting over support sets
p. 1708-1712
In memory of Anatoliĭ Veniaminovich Shipilin (1938–2003)
p. 1713-1720

Sommaire du Fascicule no. 10

On the 85th Birthday of Academician Alexander Andreevich Samarskii
p. 1723-1725
Updating the minimum-norm solutions to the recursive least squares problem with linear equality constraints
p. 1726-1734
On parameter choice and convergence rates in regularization for a class of ill-posed inequalities
p. 1735-1744
Uniform multiplicative asymptotics of the parameter-dependent Laplace integrals
p. 1745-1750
Some problems concerning expansions of functions in double Fourier–Laguerre–Jacobi series
p. 1751-1769
On convergence rate estimates for power penalty methods
p. 1770-1781
On one-step collocation methods with higher derivatives for solving ordinary differential equations
p. 1782-1807
The study of oscillatory modes in a stochastic model of a heterogeneous catalytic reaction
p. 1808-1823
The fourth-order splitting of evolutionary equations in the two-dimensional space based on diagonally implicit methods
p. 1824-1828
Multiphase models of nonstationary diffusion in homogenization
p. 1829-1844
Approximation of the solution of the Cauchy problem for the Neumann–Liouville equation
p. 1845-1849
The propagation of electromagnetic waves in cylindrical dielectric waveguides filled with a nonlinear medium
p. 1850-1860
An analytical description of the skin effect in a metal by using a two-parameter kinetic equation
p. 1861-1872
MHD modeling of phenomena in the solar corona using an absolutely implicit scheme
p. 1873-1897
Monte-Carlo method for the Schrödinger equation with a periodic asymmetric potential
p. 1898-1908
Shock-capturing method as applied to the analysis of elastoplastic waves in a granular material
p. 1909-1920

Sommaire du Fascicule no. 11

Academician Valentin Vasil'evich Voevodin (on the occasion of his seventieth birthday)
p. 1923-1927
Limit representation of weighted pseudoinverse matrixes with singular weights and the regularization problems
p. 1928-1946
On complex matrices, which are orthogonally equivalent to diagonal matrices
p. 1947-1949
Solving systems of linear homogeneous two-sided matrix equations with two unknowns
p. 1950-1963
On the harmonic analysis of functions of a real variable on a sphere
p. 1964-1971
Approximation of an equilibrium problem with respect to the argument
p. 1972-1982
An inverse problem for a parabolic variational inequality
p. 1983-1992
An optimal control problem with the control in the coefficient multiplying the highest derivative of the equation of the vibrations of a rod
p. 1993-2000
A regularized gradient dual method for the inverse problem of a final observation for a parabolic equation
p. 2001-2019
On the theoretical explanation of the diffusion buffer phenomenon
p. 2020-2040
Three-dimensional nonlinear evolutionary pseudoparabolic equations in mathematical physics. II
p. 2041-2048
Increasing the rate of convergence of bilinear finite-element realizations of iterative methods by splitting boundary conditions for Stokes-type systems for large values of a singular parameter
p. 2049-2068
The investigation of charged topological soliton stability in the system of two interacting scalar fields
p. 2069-2083
A hydroelastic stationary problem on the tsunami waves generation
p. 2084-2093
Application of cellular automata to modeling the motion of a group of people
p. 2094-2098
The combinatorial substantiation of learning algorithms
p. 2099-2112
Correction: “A method for solving a nonlinear nonself-adjoint spectral problem for some systems of linear ordinary differential equations”

Sommaire du Fascicule no. 12

On the calculation of the closest matrix with a triple zero eigenvalue
p. 2115-2120
On algebraic operations over series of orthogonal functions
p. 2121-2127
Some problems on expansion of functions in double Fourier–Bessel series
p. 2128-2149
The problem of the optimal consistency parameter for a class of equations in a Banach space
p. 2150-2166
Universal elliptic method for adaptive grid generation
p. 2167-2193
Artificial boundary conditions for external boundary problem with a cylindrical inhomogeneity
p. 2194-2211
On the blow-up of the solution of an initial-boundary value problem for a nonlinear nonlocal equation of pseudo-parabolic type
p. 2212-2219
A boundary value problem for modeling physical fields in a semiconductor
p. 2220-2251
Investigation of an electromagnetic problem of diffraction by a dielectric body using the method of a volume singular integral equation
p. 2252-2267
Propagation of evanescent waves along the free surface of the fluid-saturated porous medium
p. 2268-2275
Mathematical modeling of regular contours of gene networks
p. 2276-2295