Geodesic

Sommaire du Fascicule no. 1

On the limiting properties of dual trajectories in the Lagrange multipliers method
p. 3-23
Choosing a cost functional and a difference scheme in the optimal control of metal solidification
p. 24-38
A modification of one method for solving nonlinear self-adjoint eigenvalue problems for hamiltonian systems of ordinary differential equations
p. 39-43
On periodic solutions to singularly perturbed parabolic problems in the case of multiple roots of the degenerate equation
p. 44-55
On the multioperator method for constructing approximations and finite difference schemes of an arbitrarily high order
p. 56-73
On the development of iterative methods with boundary condition splitting for solving boundary and
p. 74-95
Experimental analysis of convergence of the numerical solution to a generalized solution in fluid dynamics
p. 96-103
Calculation of characteristics of trapped modes in T-shaped waveguides
p. 104-119
The method of integral relations for computing blunt body flows with a detached shock wave
p. 120-130
Study of spatial relaxation by means of solving a kinetic equation
p. 131-141
Thermodynamically compatible conservation laws in the model of heat conducting radiating gas
p. 142-151
Nonreflecting boundary conditions and numerical simulation of external flows
p. 152-169
Regularized shallow water equations and an efficient method for numerical simulation of shallow water flows
p. 170-184

Sommaire du Fascicule no. 2

Idempotent analogs of theorems on nonnegative matrices and their applications to the analysis of economic information
p. 188-205
Family of fifth-order three-level schemes for evolution problems
p. 206-221
On the theory of countercurrent flow in a rotating viscous heat-conducting gas
p. 222-236
Structurization of chaos
p. 237-250
Numerical simulation of spatially unsteady jets of compressible gas on a multiprocessor computer system
p. 251-260
Numerical simulation of unsteady vortex structures in near wake of poorly streamlined bodies on multiprocessor computer system
p. 261-267
Numerical simulation and visualization of vortical structure transformation in the flow past a sphere at an increasing degree of stratification
p. 268-281
MHD-based simulation of ionospheric perturbations generated in the atmospheric surface layer
p. 282-302
Development of mathematical models and numerical methods for aerodynamic design on multiprocessor computers
p. 303-328
Mathematical modeling of gas lubrication problems
p. 329-348
Simulation of eye deformation in the measurement of intraocular pressure
p. 349-362
In memory of Professor Mikhail Romanovich Shura-Bura (1918–2008)
p. 363-368
In Memory of Professor Eduard Zinov'evich Lyubimskii (1931–2008)
p. 369-376

Sommaire du Fascicule no. 3

Boundary layers in the solution of singularly perturbed boundary value problem with a degenerate equation having roots of multiplicity two
p. 379-383
Family of finite-difference schemes with approximate transparent boundary conditions for the generalized nonstationary Schrödinger equation in a semi-infinite strip
p. 384-406
Finite-time relaxation of the solution of a nonlinear pseudoparabolic equation
p. 407-435
Study of classical solution of a one-dimensional mixed problem for one class of fifth-order semilinear equations of the Korteweg–de Vries–Burgers type
p. 436-455
To the question of large-amplitude electron oscillations in a plasma slab
p. 456-469
Comment on failure of excited-state energy calculation of analytical transfer matrix method for the potential
p. 470-479
Model of real-time active noise shielding of a given subdomain subject to external noise sources
p. 480-491
On a special function used in the description of electromagnetic surface waves
p. 492-503
Functional optimization technique for numerical solution of the radiative transfer equation
p. 504-514
Study of magnetosonic solitary waves for the electron magnetohydrodynamics equations
p. 515-528
Theory of equivalence systems for describing algebraic closures of a generalized estimation model. II
p. 529-544

Sommaire du Fascicule no. 4

On complex matrices with simple spectrum that are unitarily similar to real matrices
p. 547-554
On derivative free cubic convergence iterative methods for solving nonlinear equations
p. 555-561
Resource-optimal control of linear systems
p. 562-579
Numerical solution of a nonlinear time-optimal control problem
p. 580-593
Minimax algorithm for constructing an optimal control strategy in differential games with a lipschitz payoff
p. 594-619
On solutions of three-dimensional systems describing the transition from an unstable equilibrium to a stable cycle
p. 620-630
Tiling optimization for the solution of two-dimensional time-dependent heat equation
p. 631-641
On the uniqueness of the solution of a nonlinear eigenmode problem
p. 642-646
On the substantiation of a projection method for the stationary Fokker–Planck equation
p. 647-653
Finite element solution of the Kolmogorov–Feller equation
p. 654-660
Two-sided estimates for the solution of a nonlinear integral equation in a diffusion problem
p. 661-668
Analysis of the development concepts and methods of visual data representation in computational physics
p. 669-683
Numerical simulation of inviscid bubble dynamics in a centrally symmetric gravitational field
p. 684-695
Bifurcation effects in thermodynamics of Markovian copolymers away from the critical point
p. 696-707
Archimedes law under bifurcations of solution and partial averaging of phenomenological variables
p. 708-722
High-order accurate monotone difference schemes for solving gasdynamic problems by Godunov's method with antidiffusion
p. 723-734
In memory of Professor Vyacheslav Ivanovich Lebedev (1930–2010)
p. 735-736

Sommaire du Fascicule no. 5

A numerical algorithm for solving the matrix equation $AX+X^\mathrm TB=C$
p. 739-747
Properties of sums of some elementary functions and their application to computational and modeling problems
p. 748-761
Certain first-order iterative methods for mixed variational inequalities in a Hilbert space
p. 762-770
Hyperbolic spline interpolation algorithms
p. 771-790
Fejer algorithms with an adaptive step
p. 791-801
Bilinear optimization in the analysis of multicriteria problems using criteria importance theory under inexact information about preferences
p. 802-813
Functional gradient evaluation in the optimal control of a complex dynamical system
p. 814-833
Special functions in Academician A. A. Dorodnicyn's scientific legacy: Special functions associated with the van der Pol equation
p. 834-857
Numerical solution of nonlinear inverse coefficient problems for ordinary differential equations
p. 858-871
On a nonlinear eigenmode problem in semiconductor theory
p. 872-880
The principle of minimum of partial local variations for determining convective flows in the numerical solution of one-dimensional nonlinear scalar hyperbolic equations
p. 881-897
Projection and projection-difference methods for the solution of the Navier–Stokes equations
p. 898-912
Three-dimensional evolution of the boundary of a polluted area in a bounded piecewise homogeneous porous material
p. 913-919
High-order accurate implicit running schemes
p. 920-935
Loaded complex equations in the jet collision problem
p. 936-955
Scientific conference “Numerical geometry, grid generation, and scientific computing” on the occasion of the 120th anniversary of P. N. Delaunay's birthday
p. 956-957
In Memory of Professor Valerian Pavlovich Bulatov
p. 958-960

Sommaire du Fascicule no. 6

On the 100th anniversary of birthday of academician Nikolai Nikolaevich Bogolyubov (1909–2009)
p. 963-978
Simultaneous reduction to block triangular form and theorems on pairs of complex idempotents
p. 979-982
A semismooth sequential quadratic programming method for lifted mathematical programs with vanishing constraints
p. 983-1006
An algorithm for dynamic reconstruction of input disturbances from observations of some of the coordinates
p. 1007-1017
Optimal growth order of the number of vertices and facets in the class of Hausdorff methods for polyhedral approximation of convex bodies
p. 1018-1031
Stable smoothing method for solving a model mechanical problem with friction
p. 1032-1042
Asymptotic integration of a system of differential equations with a large parameter in the critical case
p. 1043-1055
On a class of nonlocal parabolic equations
p. 1056-1063
Asymptotics of the solution of Laplace's equation with mixed boundary conditions
p. 1064-1080
Boundary and internal layers in the reaction-diffusion problem with a nonlocal inhibitor
p. 1081-1090
Improved approximations of the solution and derivatives to a singularly perturbed reaction-diffusion equation based on the solution decomposition method
p. 1091-1120
Two-level schemes of higher approximation order for time-dependent problems with skew-symmetric operators
p. 1121-1132
A vortex method for computing two-dimensional inviscid incompressible flows
p. 1133-1147
Gradient stability of numerical algorithms in local nonequilibrium problems of critical dynamics
p. 1148-1165
Sixth moscow international conference on operations research (ORM 2010)
p. 1166-1168

Sommaire du Fascicule no. 7

On the 120th anniversary of the birthday of Professor Boris Nikolaevich Delaunay
p. 1171-1180
Commutation conditions for Hankel matrices
p. 1181-1193
On the application of Newton-type methods to Fritz John optimality conditions
p. 1194-1208
Decentralized optimal control of dynamical systems under uncertainty
p. 1209-1227
A nonlocal problem for singular linear systems of ordinary differential equations
p. 1228-1235
Explicit stabilized Runge–Kutta methods
p. 1236-1250
A class of one-step one-stage methods for stiff systems of ordinary differential equations
p. 1251-1265
1 : 3 Resonance is a possible cause of nonlinear panel flutter
p. 1266-1279
Generalized solutions of initial-boundary value problems for second-order hyperbolic systems
p. 1280-1293
Weighted estimate for the convergence rate of a projection difference scheme for a quasilinear parabolic equation
p. 1294-1307
Basis difference method for orthogonal systems on a surface
p. 1308-1316
Numerical study of Peakons and $k$-Solitons of the Camassa–Holm and Holm–Hone equations
p. 1317-1325
Saturation-free numerical scheme for computing the flow past a lattice of airfoils and the determination of separation points in a viscous fluid
p. 1326-1338
Numerical study of radiometric forces via the direct solution of the Boltzmann kinetic equation
p. 1339-1355
In memory of Academician Evgenii Frolovich Mishchenko (1922–2010)
p. 1356-1360

Sommaire du Fascicule no. 8

Optimality parameter of Korobov parallelepipedal grids for cubature formulas
p. 1363-1369
On the construction of approximations to continuous functions under integral boundary conditions
p. 1370-1375
An application of the nonuniform covering method to global optimization of mixed integer nonlinear problems
p. 1376-1389
The method of medians in the problem of ranking interval objects specified by three points
p. 1390-1399
Relaxation oscillations and diffusion chaos in the Belousov reaction
p. 1400-1418
Cauchy problem for the Mathieu equation away from parametric resonance
p. 1419-1433
Explicit adaptive Runge–Kutta methods for stiff and oscillation problems
p. 1434-1448
Existence of a complex closed trajectory in a three-dimensional dynamical system
p. 1449-1456
Boundary value problem for an elliptic equation with rapidly oscillating coefficients in a rectangle
p. 1457-1466
Symmetry analysis and exact explicit solutions for Kadomtsev–Petviashvili–Burgers equation
p. 1467-1475
Numerical methods for determining the inhomogeneity boundary in a boundary value problem for Laplace’s equation in a piecewise homogeneous medium
p. 1476-1489
Null field method in wave diffraction problems
p. 1490-1494
Justification of the stabilization method for a mathematical model of charge transport in semiconductors
p. 1495-1517
Dimension reduction in fluid dynamics equations
p. 1518-1530
Asymptotic estimates for the number of solutions of the dualization problem and its generalizations
p. 1531-1540
Variational relevance vector machine for classification and regression problems with multidimensional feature arrays
p. 1541-1560
Comparative study of texture detection and classification algorithms
p. 1561-1568

Sommaire du Fascicule no. 9

Academician M. V. Keldysh and computational mathematics (on the centenary of his birth)
p. 1571-1575
Extraproximal method for solving two-person saddle-point games
p. 1576-1587
Numerical solution of an equilibrium problem of based on the generalized level method
p. 1588-1593
Regularized parametric Kuhn–Tucker theorem in a Hilbert space
p. 1594-1615
On the convergence of the conditional gradient method in distributed optimization problems
p. 1616-1629
Lower bounds on the convergence rate of the Markov symmetric random search
p. 1630-1644
Two-parameter extremum problems of boundary control for stationary thermal convection equations
p. 1645-1664
On a family of singular integro-differential equations
p. 1665-1673
Construction of polynomial solutions to some boundary value problems for Poisson’s equation
p. 1674-1694
Inverse problem for the diffusion equation with overdetermination in the form of an external volume potential
p. 1695-1702
Mixed value problem for a nonlinear differential equation of fourth order with small parameter on the parabolic operator
p. 1703-1711
Study of extraordinary scattering of evanescent waves by the discrete sources method
p. 1712-1720
Excitation of electromagnetic oscillations in a domain with chiral filling
p. 1721-1728
Propagation of TM waves in a layer with arbitrary nonlinearity
p. 1729-1739
Approximate computation of unsteady moving-boundary flows in a porous medium
p. 1740-1750
Optimal convex correcting procedures in problems of high dimension
p. 1751-1760

Sommaire du Fascicule no. 10

On the 85th birthday of Aleksandr Aleksandrovich Abramov
p. 1763-1769
On the quadratic convergence of the Aitken $\Delta^2$ process
p. 1770-1774
Hermite spline interpolation in the discrete periodic case
p. 1775-1789
A numerical experiment related to Zolotarev polynomials for weighted sup-norm
p. 1790-1795
Decomposition method in correction problems for inconsistent systems of linear inequalities with partitioned matrices
p. 1796-1805
Dynamic reconstruction of disturbances in stochastic differential equations
p. 1806-1815
A finite difference scheme of improved accuracy on a priori adapted grids for a singularly perturbed parabolic convection–diffusion equation
p. 1816-1839
Properties of spatial structures for reaction–nonlinear diffusion equations subject to Dirichlet conditions
p. 1840-1848
Coefficient inverse problem for Poisson’s equation in a cylinder
p. 1849-1856
Adaptation of the Galerkin method to interior diffraction problems
p. 1857-1866
Application of computer algebra for the calculation of bracket integrals
p. 1867-1882
On the completeness of the system of eigenvectors of electromagnetic waveguides
p. 1883-1888
Synchronous exploration for the control of real-time external noise suppression in a three-dimensional subdomain
p. 1889-1904
Numerical stability and numerical viscosity in certain meshless vortex methods as applied to the Navier–Stokes and heat equations
p. 1905-1917
Third-order accurate finite-volume method on a triangular grid
p. 1918-1930
Probabilistic analysis of a new class of strip packing algorithms
p. 1931-1936

Sommaire du Fascicule no. 11

On the parametrization of classes of normal Hankel matrices
p. 1939-1951
Quadrature formulas for functions with a boundary-layer component
p. 1952-1962
Focal approximation on the complex plane
p. 1963-1972
A second-order continuous method for solving quasi-variational inequalities
p. 1973-1980
Uniform estimation of a segment function by a polynomial strip of fixed width
p. 1981-1994
Special functions in academician A. A. Dorodnicyn’s scientific legacy: Special functions arising in the solution of boundary value problems for second-order singular ordinary differential equations by asymptotic methods
p. 1995-2032
Covariant transformations of basis differential-difference schemes in a plane
p. 2033-2041
Numerical study of the radiometric phenomenon exhibited by a rotating Crookes radiometer
p. 2042-2052
Active noise control in a waveguide
p. 2053-2062
Time averages and Boltzmann extremals for Markov chains, discrete Liouville equations, and the Kac circular model
p. 2063-2074
Solution of the heat equation on unstructured curvilinear grids
p. 2075-2083
Nonlinear nonequilibrium kinetic model of the Boltzmann equation for monatomic gases
p. 2084-2095
Time averaging as an approximate technique for constructing quasi-gasdynamic and quasi-hydrodynamic equations
p. 2096-2105
On the complexity of some cluster analysis problems
p. 2106-2112

Sommaire du Fascicule no. 12

Asymptotic solution method for the control of the minimal force for a linear singularly perturbed system
p. 2115-2125
Sensitivity function: Properties and applications
p. 2126-2142
Extragradient method for searching for an equilibrium point in two-person saddle-point games
p. 2143-2157
Dual interior point methods for linear semidefinite programming problems
p. 2158-2180
Regularization of differential-algebraic equations
p. 2181-2193
Approximation of the Jacobian matrix in $(m,2)$-methods for solving stiff problems
p. 2194-2208
The theory of regularized traces of Sturm–Liouville operators as applied to approximate calculation of eigenvalues and eigenfunctions of certain singular operators
p. 2209-2232
Fourier method in an initial-boundary value problem for a first-order partial differential equation with involution
p. 2233-2246
An efficient method for solving difference systems for elliptic differential equations
p. 2247-2252
Behavior of solutions to elliptic boundary value problems in a neighborhood of corner points of discontinuity lines of the coefficients
p. 2253-2259
Solvability of the third and fourth basic three-dimensional dynamic problems in hemitropic elasticity
p. 2260-2268
Mathieu functions and coulomb spheroidal functions in the electrostatic probe theory
p. 2269-2278
Determination of the right-hand side of the Navier–Stokes system of equations and inverse problems for the thermal convection equations
p. 2279-2287
Instability of the two-dimensional Poiseuille flow between elastic plates
p. 2288-2295
Erratum to: “Commutation Conditions for Hankel Matrices”