Geodesic

Sommaire du Fascicule no. 1

Academician Sergeĭ Konstantinovich Godunov (on the occasion of his eightieth birthday)
p. 3-9
Subdirect sums and differences for some classes of matrices
p. 10-15
New algorithms for the statistical modeling of inhomogeneous Poisson ensembles
p. 16-23
On the rate of convergence of the simulated annealing algorithm
p. 24-37
On the general nonlinear selfadjoint spectral problem for systems of ordinary differential equations with singularities
p. 38-43
Boundary conforming Delaunay mesh generation
p. 44-59
Volume increasing isometric deformations of polyhedra
p. 60-70
Discrete extrinsic curvatures and approximation of surfaces by polar polyhedra
p. 71-98
A technique for constructing spatial adaptive grids
p. 99-117
Two-layer schemes of improved order of approximation for nonstationary problems in mathematical physics
p. 118-130
Hessian-free metric-based mesh adaptation via geometry of interpolation error
p. 131-145
Unstructured tetrahedral mesh generation technology
p. 146-163
Dispersion equations in the problem of the stability of transonic flows and some of their properties
p. 164-187
Construction of numerical algorithms for the ballistic diode problem
p. 188-208

Sommaire du Fascicule no. 2

On the approximation of the derivatives of the Hermite interpolation polynomial on a triangle
p. 211-220
Spline interpolation on a uniform grid for a function with a boundary layer component
p. 221-233
Multicriteria equilibrium programming: the extragradient method
p. 234-241
Estimates for the average number of iterations for some algorithms for solving the set packing problem
p. 242-248
On a singular nonlinear self-adjoint spectral problem for differential-algebraic systems of equations
p. 249-254
Multidimensional parametrization and numerical solution of systems of nonlinear equations
p. 255-267
On the asymptotic behavior of the solution of a singularly perturbed system of parabolic equations in the critical case
p. 268-275
Front motion in a parabolic reaction-diffusion problem
p. 276-285
A modified combined grid method for solving the Dirichlet problem for the Laplace equation on a rectangular parallelepiped
p. 286-297
Spatial natural oscillations of a boundary layer with a triple-deck velocity field structure
p. 298-319
General iterative processes for solving the transport equation
p. 320-324
Energy equalities and estimates for barotropic quasi-gas-dynamic and quasi-hydrodynamic systems of equations
p. 325-337
Selection functionals in autonomous models of biological systems with continuous age and spatial structure
p. 338-346
Numerical solution of the Kolmogorov–Feller equation with singular singularities
p. 347-351
Estimation of the statistical error of the direct statistical modeling method
p. 352-361
Estimation of the criticality parameters of branching processes by the Monte Carlo method
p. 362-374
Modeling the transport of suspended substances on the continental shelf: horizontal dispersion
p. 375-387
Theory of equivalence systems for the description of algebraic closures in a generalized model for the computation of estimates
p. 388-400

Sommaire du Fascicule no. 3

On a constructive procedure for verifying whether a matrix can be made real by a unitary similarity transformation
p. 403-406
Generation of Kummer's second theorem with application
p. 407-422
Asymptotic behavior of the solution of a singularly perturbed linear-quadratic terminal control problem
p. 423-433
An embedded method for the integration of systems of structurally separated ordinary differential equations
p. 434-448
Regularized additive operator-difference schemes
p. 449-457
A Richardson scheme of an increased order of accuracy for a semilinear singularly perturbed elliptic convection-diffusion equation
p. 458-478
Asymptotic behavior of the solution of the Neumann problem with a delta-like boundary function
p. 479-485
Numerical solution of a three-dimensional stationary problem of the diffraction of elastic waves
p. 486-502
The electric field in the Smoluchowski problem in a metal with an arbitrary specular reflection coefficient
p. 503-516
Application of the multigrid approach to the solution of 3D Navier–Stokes equations on hexahedral grids by the Galerkin method with discontinuous basis functions
p. 517-531
Analysis of the correlation between plasmon resonance and the effect of the extremal leaking of energy by the discrete source method
p. 532-538
The inverse problem for mathematical models of heart excitation
p. 539-543
A kinetic model of the Boltzmann equation for the power-law interaction potential between molecules
p. 544-556
Regularization of a discrete scheme for a three-dimensional problem of the evolution of the interface of different fluids
p. 557-562
A higher-order conservative method for computing the Poiseuille flow of a rarefied gas in a channel of arbitrary cross section
p. 563-574
Application of the Kac equation to the modeling of turbulence
p. 575-584
Search for the optimal metric in classification problems with ordinal features
p. 585-592

Sommaire du Fascicule no. 4

A modification of minimal iteration methods for solving systems of linear algebraic equations
p. 595-611
On particular solutions of the normal $T+H$-problem
p. 612-617
Tikhonov solutions of approximate systems of linear algebraic equations under finite perturbations of their matrices
p. 618-635
First-order continuous regularization methods for generalized variational inequalities
p. 636-650
On the convexity of the Tikhonov functional and iteratively regularized methods for solving irregular nonlinear operator equations
p. 651-664
A conservative difference scheme for a singularly perturbed elliptic reaction-diffusion equation: approximation of solutions and derivatives
p. 665-678
A perturbed boundary eigenvalue problem for the Schrödinger operator on an interval
p. 679-698
The Cauchy problem for a quasilinear parabolic equation with a large initial gradient and low viscosity
p. 699-706
On the stability of an implicit difference scheme for a linear differential-algebraic system of partial differential equations
p. 707-717
The second approximation of Navier–Stokes equations
p. 718-724
Stability of a traveling-wave solution of the Cauchy problem for the Korteweg–de Vries–Burgers equation
p. 725-745
Simulation of suspended substance transport on the continental shelf: Computation of soil dumping in the Sea of Azov
p. 746-756
Optimization of a multiple covering of a bounded set with circles
p. 757-769
Automatic determination of the numbers of components in the EM algorithm for the restoration of a mixture of normal distributions
p. 770-783
Correction to: "Capabilities of a quasi-gas-dynamic algorithm for the numerical modeling of inviscid gas flows”

Sommaire du Fascicule no. 5

Block tensor conjugate gradient-type method for Rayleigh quotient minimization in two-dimensional case
p. 787-804
On commutative algebras of Toeplitz-plus-Hankel matrices
p. 805-816
Structure of quasi-Newton minimization methods
p. 817-831
Iterative algorithm for mathematical programming problems with preconvex constraints
p. 832-835
Discrete optimization problems with interval parameters
p. 836-847
Improvement of extreme controls and the steepest ascent method in the norm maximization problem on the reachable set
p. 848-859
Finite-dimensional models of diffusion chaos
p. 860-875
Solution blow-up for a new stationary Sobolev-type equation
p. 876-893
On families of compact fourth- and fifth-order approximations involving the inversion of two-point operators for equations with convective terms
p. 894-907
Convergence rate estimates for a projection-difference scheme as applied to the nonstationary stokes equation in cylindrical coordinates
p. 908-922
Generalization of the hybrid monotone second-order finite difference scheme for gas dynamics equations to the case of unstructured 3D grid
p. 923-936
Application of mosaic-skeleton approximations in the simulation of three-dimensional vortex flows by vortex segments
p. 937-948
Polar figure computation by a kernel method from a set of individual grain orientations on $SO(3)$
p. 949-966
Minimax feature selection problem for constructing a classifier using support vector machines
p. 967-976

Sommaire du Fascicule no. 6

The structure of the Hessian and the efficient implementation of Newton's method in the problem of the canonical approximation of tensors
p. 979-998
Sharp estimates for the rate of convergence of Fourier series of functions of a complex variable in the space $L\sb 2(D,p(z))$
p. 999-1004
Algorithms for the exact and approximate statistical modeling of Poisson ensembles
p. 1005-1016
“Higher-order” necessary optimality conditions in a linear maximin problem with coupled variables
p. 1017-1022
A weighted estimate for the rate of convergence of a projection-difference scheme for a parabolic equation and its application to the approximation of the initial-data control problem
p. 1023-1037
Inverse extremal problems for the Maxwell equations
p. 1038-1046
Diagonally implicit Runge-Kutta methods for differential-algebraic equations of indices 2 and 3
p. 1047-1059
On the automatic control of step size and order in one-step collocation methods with higher derivatives
p. 1060-1077
Stability of difference schemes in terms of Riemann invariants for a polytropic gas
p. 1078-1091
Formation of gaps in the spectrum of the problem of waves on the surface of a periodic channel
p. 1092-1108
A technique for the numerical analysis of the riblet effect on the temporal stability of plane flows
p. 1109-1125
Macroparameters of three-dimensional flows in free shear turbulence
p. 1126-1139
On the formulation of boundary conditions for vorticity in problems of the flow of a viscous incompressible fluid around bodies
p. 1140-1147
Solution of the Boltzmann equation for unsteady flows with shock waves in narrow channels
p. 1148-1158
On the rotational heating of a gas
p. 1159-1168

Sommaire du Fascicule no. 7

Boris Vasil'evich Pal'tsev (on the occasion of his seventieth birthday)
p. 1171-1178
On the computation of the spectrum of directionally perturbed operators
p. 1179-1199
A locally one-dimensional scheme for a fractional-order diffusion equation with boundary conditions of the third kind
p. 1200-1208
On a method for solving a linear boundary value problem for an integrodifferential equation
p. 1209-1221
Tunneling through a quantum dot in a quantum waveguide
p. 1222-1232
Numerical solution of an inverse electrocardiography problem for a medium with a piecewise-constant electrical conductivity coefficient
p. 1233-1239
On the smoothness of the solution of an abstract coupled problem of thermoelasticity type
p. 1240-1257
Critical Reynolds numbers in plane channels with sudden expansion at the entry
p. 1258-1268
Evolution of the interface of various fluids in nonhomogeneous layers
p. 1269-1275
Breather collapse for a dispersive effective equation: asymptotics on the well-posedness boundary
p. 1276-1284
Kinetic analysis of an isothermal flow in a long microchannel with rectangular cross section
p. 1285-1302
A modified Chapman–Enskog method in terms of intensive parameters
p. 1303-1314
On a scheme for constructing algorithms for correcting a local perturbation in a finite semi-metric
p. 1315-1326
On the sample monotonization problem
p. 1327-1333
Level structure of Zhegalkin polynomials, properties of test sets, and an annihilator search algorithm
p. 1334-1340
In memory of Lyudmila Sergeevna Klabukova
p. 1341-1344

Sommaire du Fascicule no. 8

Approximation of plane curves by circular arcs
p. 1347-1356
On the convergence of the Uzawa method with a modified Lagrange functional for variational inequalities in mechanics
p. 1357-1366
Iterative solution of matrix games by the methods of grid variational inequalities
p. 1367-1380
Steplike contrast structure in an elementary optimal control problem
p. 1381-1392
A method for solving a boundary value problem for a nonlinear control system with incomplete information
p. 1393-1407
Analysis of a synchronization model in an anisochronous system
p. 1408-1419
Two-dimensional high-resolution schemes and their application to the modeling of ionized waves of gas discharge
p. 1420-1437
A numerical method for solving diffusion-type equations based on a multigrid method
p. 1438-1461
A numerical method for determining the inhomogeneity boundary in the Dirichlet problem for the Laplace equation in a piecewise-homogeneous medium
p. 1462-1470
Features of the linear stage of the development of three-dimensional perturbations in the plane Poiseuille–Couette flow
p. 1471-1480
A thermodynamically consistent nonlinear model of an elastoplastic Maxwell medium
p. 1481-1498
A ground nonequilibrium jet boundary layer in a polyatomic gas
p. 1499-1505
Reflection of plasma waves from a boundary with specular accommodative boundary conditions
p. 1506-1519
Symmetric Boolean polynomials
p. 1520-1531
In memory of Radiĭ Petrovich Fedorenko (1930–2010)
p. 1532-1536

Sommaire du Fascicule no. 9

Explicit multistep methods with extended stability domains
p. 1539-1549
Conditional $\varepsilon$-uniform convergence of adaptation algorithms in the finite element method for singularly perturbed problems
p. 1550-1568
Investigation of the classical solution of a one-dimensional mixed problem for a class of semilinear long-wave equations
p. 1569-1586
On the existence and uniqueness of solutions of the inverse boundary value problem for determining the dielectric permittivity of materials
p. 1587-1597
The Dirichlet–Neumann conditions and orthogonality of three-dimensional natural waves in layered solids
p. 1598-1612
Coherent structures in fluid dynamics and kinetic equations
p. 1613-1623
Effective direct methods in problem of the construction of optimal aerodynamic shapes
p. 1624-1631
Airfoil flow over the interface of a two-layer ponderable fluid with a free surface and a rigid bottom
p. 1632-1639
Polyconvex potentials, invertible deformations, and a thermodynamically consistent formulation of the equations of the nonlinear theory of elasticity
p. 1640-1668
Simulation of particle dynamics in a viscous fluid near a plane wall
p. 1669-1686
Reconstruction of dependence based on Bayesian correction of a collection of pattern recognition algorithms
p. 1687-1696
On a characterization of noninteger vertices of the relaxational polyhedron in the multi-index axial assignment problem
p. 1697-1708
In memory of Aloizas-Iozapas Antano Stanevichyus (1940–2009)
p. 1709-1712

Sommaire du Fascicule no. 10

Numerical solution of a linear bilevel problem
p. 1715-1726
Homogeneous algorithms for multiextremal optimization
p. 1727-1740
Algebraic features of some generalizations of the Lotka–Volterra system
p. 1741-1757
High-accuracy versions of the collocations and least squares method for the numerical solution of the Navier–Stokes equations
p. 1758-1770
On numerical implementations of a new iterative method with boundary condition splitting for solving the nonstationary stokes problem in a strip with periodicity condition
p. 1771-1792
On the solvability of a nonlinear integro-differential equation arising in the income distribution problem
p. 1793-1802
Splitting superfluid hydrodynamic equations and instability of solutions in the case of degenerate bosons
p. 1803-1810
Implicit numerical method for computing three-dimensional rarefied gas flows on unstructured meshes
p. 1811-1826
Solution to the stationary problem of glacier dynamics
p. 1827-1839
Numerical experiments on modeling of steady-state structures in supersonic flows with asymmetric energy supply
p. 1840-1853
Lift maximization for a smooth contour placed in flow with a vortex
p. 1854-1861
An approach to the selection of hyperplane for recognition algorithms
p. 1862-1864
On the centenary of the birth of professor Solomon Grigor'evich Mikhlin (1910–2010)
p. 1865-1872

Sommaire du Fascicule no. 11

On the centenary of the birth of academician Anatolii Ivanovich Mal'tsev (1909-1967)
p. 1875-1882
Finite-dimensional linear approximations of solutions to general irregular nonlinear operator equations and equations with quadratic operators
p. 1883-1892
A method of the dissipative Henon map renormalization
p. 1893-1908
On first- and second-order difference schemes for differential-algebraic equations of index at most two
p. 1909-1918
Factorized SM-stable two-level schemes
p. 1919-1925
Finite element method for the diffraction problem in a waveguide
p. 1926-1930
Coupled dielectric waveguides with photonic crystal properties
p. 1931-1937
Multigrid techniques as applied to gasdynamic simulation on unstructured meshes
p. 1938-1952
Simulation of current layer dynamics in the magnetogasdynamic interaction with an argon flow
p. 1953-1960
Convenient system of FEM test functions for computational fluid dynamics
p. 1961-1972
Dynamics of a rotating layer of an ideal electrically conducting incompressible inhomogeneous fluid in an equatorial region
p. 1973-1987
Effect of the pipe curvature on internal elastic wave propagation
p. 1988-1997
Numerical implementations of an iterative method with boundary condition splitting as applied to the nonstationary stokes problem in the gap between coaxial cylinders
p. 1998-2016
Fast computation of optimal disturbances for duct flows with a given accuracy
p. 2017-2027
The use of associative information processing for constructing algorithms for solving systems of Boolean equations
p. 2028-2044
On the complexity of some data analysis problems
p. 2045-2051
Polynomial algorithms for solving the quadratic assignment problem on networks
p. 2052-2059
Multifocus lemniscates: Approximation of curves
p. 2060-2072

Sommaire du Fascicule no. 12

On the centenary of the birth of academician Anatolii Alekseevich Dorodnicyn
p. 2075-2082
Regularized extragradient method for solving parametric multicriteria equilibrium programming problem
p. 2083-2098
A modification of Hutchinson's equation
p. 2099-2112
A Richardson scheme of the decomposition method for solving singularly perturbed parabolic reaction-diffusion equation
p. 2113-2133
Application of a 14-point averaging operator in the grid method
p. 2134-2143
Additive schemes for certain operator-differential equations
p. 2144-2154
Well-posedness of difference schemes for semilinear parabolic equations with weak solutions
p. 2155-2175
Application of the quasi-spectral fourier method to soliton equations
p. 2176-2183
A plasmastatic model of the galathea-belt magnetic trap
p. 2184-2194
On the mechanism of pressure increase with increasing porosity of the media compressed in conical and cylindrical targets
p. 2195-2207
Triple-deck theory in transonic flows and boundary layer stability
p. 2208-2222
Propagation of perturbations in fluids excited by moving sources
p. 2223-2232
Kinetic model of the Boltzmann equation for a diatomic gas with rotational degrees of freedom
p. 2233-2245
Nonisothermal gas flow in a long channel analyzed on the basis of the kinetic S-Model
p. 2246-2260
Self-similar asymptotics describing nonlinear waves in elastic media with dispersion and dissipation
p. 2261-2274
Simulating flows of incompressible and weakly compressible fluids on multicore hybrid computer systems
p. 2275-2284
On the use of computation optimization opportunities in computer technologies for applied and computational mathematics problems with prescribed quality characteristics
p. 2285-2295
Errata