Geodesic

Sommaire du Fascicule no. 1

Error estimates in $S_p$ for cubature formulas exact for Haar polynomials in the two-dimensional case
p. 3-13
Application of divisor theory to the construction of tables of optimal coefficients for quadrature formulas
p. 14-25
New modifications of the generalized saddle version of the level method
p. 26-50
Determination of functional gradient in an optimal control problem related to metal solidification
p. 51-75
Extremal dynamics of the generalized Hutchinson equation
p. 76-89
Analysis of extraordinary optical transmission trough a conducting film by the discrete sources method
p. 90-98
A fundamental solution to the Cauchy problem for a fourth-order pseudoparabolic equation
p. 99-110
Numerical solution to a stokes interface problem
p. 111-122
A variant of the finite superelement method for computing viscous incompressible flows
p. 123-136
Solution of the skin effect problem with an arbitrary coefficient of specular reflection
p. 137-151
Strong convergence of difference approximations in the problem of transverse vibrations of thin elastic plates
p. 152-177
One approach to a magnetostatic problem for bodies with inclusions in an inhomogeneous external field
p. 178-188
Stepwise solution to an inverse problem for the radiative transfer equation as applied to tomography
p. 189-199
Algebra over estimation algorithms: Normalization with respect to the interval
p. 200-208

Sommaire du Fascicule no. 2

A method of congruent type for linear systems with conjugate-normal coefficient matrices
p. 211-224
Finding approximations of continuous solutions to first-kind equations
p. 225-231
Improving the accuracy of multiple integral evaluation by applying Romberg’s method
p. 232-240
A new technique for avoiding the Maratos effect
p. 241-254
Parallel global optimization of functions of several variables
p. 255-269
Two-stage complex Rosenbrock schemes for stiff systems
p. 270-287
On the emptiness criteria for the discrete spectrum of the Dirichlet problem for the equation
p. 288-292
The existence of a generalized fourier transform for a solution as a radiation condition for a class of problems generalizing oscillation excitation problems in regular waveguides
p. 293-300
Integration of oscillating functions in a quasi-three-dimensional electrodynamic problem
p. 301-312
Numerical analysis of 3D dynamic problems of the Cosserat elasticity theory subject to boundary symmetry conditions
p. 313-322
On the shapes of two-dimensional soliton perturbations in simple lattices
p. 323-331
Gap detection in the spectrum of an elastic periodic waveguide with a free surface
p. 332-343
$\mathrm{KP}_1$ acceleration scheme for inner iterations consistent with the weighted diamond differencing scheme for the transport equation in three-dimensional geometry
p. 344-372
Some properties of the equations governing a two-dimensional quasi-gasdynamic model of traffic flows
p. 373-381
Estimates of the absolute error and a scheme for an approximate solution to scheduling problems
p. 382-396
In Memory of Professor Aleksei Alekseevich Dezin (1923–2008)
p. 397-400

Sommaire du Fascicule no. 3

On the 100th anniversary of the birthday of academician Sergei L'vovich Sobolev (1908–1989)
p. 403-410
Preconditioning of saddle point problems by the method of Hermitian and skew-Hermitian splitting iterations
p. 411-421
Error estimation for a weighted minimum-norm least squares solution with positive definite weights
p. 422-430
Procedures for calculating the nonconvexity measures of a plane set
p. 431-440
Study of weighted Monte Carlo algorithms with branching
p. 441-452
Dual multiplicative algorithms for an entropy-linear programming problem
p. 453-464
Equilibrium model of a credit market: Statement of the problem and solution methods
p. 465-481
Optimal control asymptotics of a magnetohydrodynamic flow
p. 482-489
On the index of the boundary value problem for a homogeneous Hamiltonian system of differential equations
p. 490-497
Spectral stability criterion and the Cauchy problem for the Hill equation at parametric resonance
p. 498-511
A two-stage difference method for solving the Dirichlet problem for the Laplace equation on a rectangular parallelepiped
p. 512-517
Numerical algorithm for solving diffusion equations on the basis of multigrid methods
p. 518-541
Uniqueness of the solution to an inverse thermoelasticity problem
p. 542-548
Capabilities of a quasi-gasdynamic algorithm as applied to inviscid gas flow simulation
p. 549-566
An algorithm for computing Bingham flows
p. 567-577
Maximization of the lift/drag ratio of airfoils with a turbulent boundary layer: Sharp estimates, approximation, and numerical solutions
p. 578-592

Sommaire du Fascicule no. 4

Low-rank perturbations of symmetric matrices and their condensed forms under unitary congruences
p. 595-600
Acceleration of the convergence of the Laguerre series in the problem of inverting the Laplace transform
p. 601-610
An iterative method for minimizing a convex nonsmooth function on a convex smooth surface
p. 611-615
Impulse control of temperature in a free convection model
p. 616-623
General nonlinear self-adjoint eigenvalue problem for systems of ordinary differential equations
p. 624-627
Features of the dynamics of nonlinear waves in plane domains
p. 628-645
Parametric continuation of the solitary traveling pulse solution in the reaction-diffusion system using the Newton–Krylov method
p. 646-661
Blowup of the solution to a nonlinear system of Sobolev-type equations
p. 662-670
An adaptive lsmfe method for Burgers equations
p. 671-680
Mortar method for matching grids in a mixed scheme as applied to the biharmonic equation
p. 681-695
New fourth-order splitting methods for two-dimensional evolution equations
p. 696-699
Splitting algorithms as applied to the Navier–Stokes equations
p. 700-714
About one system of integral equations in kinetic theory
p. 715-721
Ray expansions of solutions around fronts as a shock-fitting tool for shock loading simulation
p. 722-733
A minimum-stencil difference scheme for computing two-dimensional axisymmetric gas flows: Examples of pulsating flows with instabilities
p. 734-753
Numerical stability analysis of the Taylor–Couette flow in the two-dimensional case
p. 754-768

Sommaire du Fascicule no. 5

On a recursive inverse eigenvalue problem
p. 771-775
Optimal control and optimal trajectories of regional macroeconomic dynamics based on the Pontryagin maximum principle
p. 776-790
Method for nonlocal improvement of extreme controls in the maximization of the terminal state norm
p. 791-804
Solving the quasi-variational Signorini inequality by the method of successive approximations
p. 805-814
Controllability of vibrations of a net of coupled objects with distributed and lumped parameters
p. 815-825
Generation of structured difference grids in two-dimensional nonconvex domains using mappings
p. 826-839
Finite difference schemes for the singularly perturbed reaction-diffusion equation in the case of spherical symmetry
p. 840-856
High-accuracy difference schemes for solving gasdynamic equations by the Godunov method with antidiffusion
p. 857-873
Algorithm for generating a conformal quasi-hierarchical triangular mesh that weakly $\delta$-approximates given polygonal lines
p. 874-878
Error estimation of grain distribution function recovery for dependent orientations with allowance for grain sizes
p. 879-890
Numerical simulation of the velocity distribution for a hard-sphere gas
p. 891-901
Stability analysis of the plane Couette flow for a model kinetic equation
p. 902-915
Wave motions in a stratified electrically conducting rotating fluid
p. 916-922
Monte Carlo simulation of boundary layer transition
p. 923-928

Sommaire du Fascicule no. 6

On two particular cases of solving the normal Hankel problem
p. 931-939
Post-filtering of IC2-factors for load balancing in parallel preconditioning
p. 940-957
Convergence of the Lavrent'ev method
p. 958-965
Sharp estimates for the convergence rate of Fourier series in terms of orthogonal polynomials in $L_2((a,b),p(x))$
p. 966-980
A maximum principle for smooth optimal impulsive control problems with multipoint state constraints
p. 981-997
The first variation and Pontryagin's maximum principle in optimal control for partial differential equations
p. 998-1020
Coordinate relaxation methods for multivalued complementarity problems
p. 1021-1036
Competitive facility location models
p. 1037-1054
New lower bounds for the facility location problem with clients' preferences
p. 1055-1066
Two-point boundary value problem for a singularly perturbed equation with a reduced equation having multiple roots
p. 1067-1079
Fourth-order diagonally implicit schemes for evolution equations
p. 1080-1084
Formulation and well-posedness of the Cauchy problem for a diffusion equation with discontinuous degenerating coefficients
p. 1085-1102
Development and tending to steady state of subsonic gas condensation on a plane condensed phase
p. 1103-1118
On the explicit parametric description of waves in periodic media
p. 1119-1130
In memory of professor Valerii Mikhailovich Borisov (1939–2008)
p. 1131-1136

Sommaire du Fascicule no. 7

Sufficient conditions for the asymptotic optimality of projection methods as applied to operator equations
p. 1139-1147
Constrained optimization of the randomized iterative method
p. 1148-1157
On estimates for the Fourier-Bessel integral transform in the space $L_2(\mathbb R_+)$
p. 1158-1166
Minimum of a functional in a metric space and fixed points
p. 1167-1174
External estimation of a segment function by a polynomial strip
p. 1175-1183
Optimality conditions and newton-type methods for mathematical programs with vanishing constraints
p. 1184-1196
Method of boundary integral equations as applied to the numerical solution of the three-dimensional Dirichlet problem for the laplace equation in a piecewise homogeneous medium
p. 1197-1206
Asymptotics of the solution to the point explosion problem in the case of cylindrical symmetry
p. 1207-1222
Locally one-dimensional scheme for a loaded heat equation with Robin boundary conditions
p. 1223-1231
Propagation of perturbations in a two-layer rotating fluid with an interface excited by moving sources
p. 1232-1254
Numerical method for computing two-dimensional unsteady rarefied gas flows in arbitrarily shaped domains
p. 1255-1270
Features of the linear stage of development of 3D wave packets in a plane Poiseuille flow
p. 1271-1279
Application of compact and multioperator schemes to the numerical simulation of acoustic fields generated by instability waves in supersonic jets
p. 1280-1294
Triple-deck analysis of formation of supersonic and local separation regions in transonic steady flow over a roughness element on the surface of a body of revolution
p. 1295-1305
Simulation of suspended substance dispersion on the ocean shelf: Effective hydraulic coarseness of polydisperse suspension
p. 1306-1318
Effective method for numerical integration of the equations describing the flow of high-temperature multicomponent gas mixtures in thermochemical equilibrium
p. 1319-1326
Correct algebras over estimation algorithms in the set of regular recognition problems with nonoverlapping classes
p. 1327-1339
Aleksei Valerievich Zabrodin (1933–2008)
p. 1340-1344

Sommaire du Fascicule no. 8

Weighted pseudoinverses and weighted normal pseudosolutions with singular weights
p. 1347-1363
Sharp estimates for the convergence rate of double Fourier series in terms of orthogonal polynomials in the space $L_2((a,b)\times(c,d);p(x)q(y)))$
p. 1364-1368
Parallel implementation of Newton's method for solving large-scale linear programs
p. 1369-1384
On the numerical solution of the linear complementarity problem
p. 1385-1398
Eigenvalue analysis for a rack in a power-law material
p. 1399-1415
The Richardson scheme for the singularly perturbed parabolic reaction-diffusion equation in the case of a discontinuous initial condition
p. 1416-1436
Multilayered model in optics and quantum mechanics
p. 1437-1450
Solution of Davey–Stewartson equations by homotopy perturbation method
p. 1451-1457
Fast technique for solving the $N$-body problem in flow simulation by vortex methods
p. 1458-1465
Simulation of stochastic pulsating flows with instabilities using minimum-stencil difference schemes
p. 1466-1483
Inversion of a logarithmic operator defined on a regular set of arcs lying on a circle
p. 1484-1496
Exact soliton solutions for the general fifth Korteweg–de Vries equation
p. 1497-1502
Solution of the Cameron–Erdős problem for groups of prime order
p. 1503-1509
Efficient implementation of pattern recognition algorithms
p. 1510-1516
Computer simulation of stable structures in crystal substances
p. 1517-1530
In memory of Alla L'vovna Dyshko (1930–2009)
p. 1531-1536

Sommaire du Fascicule no. 9

Similarity transformations of decomposable matrix polynomials and related questions
p. 1539-1553
Monotonicity of the mapping associated with a noncooperative multiperson game
p. 1554-1564
A discrete mathematical model of the dynamic evolution of a transportation network
p. 1565-1570
A criterion for checking if a convex set belongs to the union of a finite number of convex sets
p. 1571-1578
Properties of finite-difference schemes for singular integrodifferential equations of index 1
p. 1579-1588
An algorithm for solving the Cauchy problem for a finite Langmuir lattice
p. 1589-1593
Three-layer finite difference method for solving linear differential algebraic systems of partial differential equations
p. 1594-1608
On the oscillation theory of the Sturm–Liouville problem with singular coefficients
p. 1609-1621
Economic difference scheme for a parabolic equation with a mixed spatial derivative
p. 1622-1628
Wavelet method for solving second-order quasilinear parabolic equations with a conservative principal part
p. 1629-1642
Error estimates for the Galerkin method as applied to time-dependent equations
p. 1643-1651
Partial radiation conditions and hypersingular integral operators
p. 1652-1658
Mixed problem for the equation governing inertia-gravity waves in the Boussinesq approximation in a unbounded cylindrical domain
p. 1659-1675
Asymptotics of a self-similar solution to the piston problem in the case of cylindrical symmetry
p. 1676-1689
Mathematical simulation of deformation and wave processes in multilayered structures
p. 1690-1696
Numerical study of the viscous hypersonic flow over a blunt delta wing
p. 1697-1707
A hydrodynamic model of human cochlea
p. 1708-1723
On the completeness and supercompleteness of algorithmic models for comparing text fragments
p. 1724-1728

Sommaire du Fascicule no. 10

The 70th birthday of Academician Yurii Gavrilovich Evtushenko
p. 1731-1740
Approximate multiplication of tensor matrices based on the individual filtering of factors
p. 1741-1756
Gradient projection method for stable approximation of quasisolutions to irregular nonlinear operator equations
p. 1757-1764
Approximating the convex Edgeworth–Pareto hull in integer multi-objective problems with monotone criteria
p. 1765-1778
State observability of elastic vibrations in distributed and lumped parameter systems
p. 1779-1784
Semismooth Newton method for quadratic programs with bound constraints
p. 1785-1795
Identification problem for a stationary magnetohydrodynamic model of a viscous heat-conducting fluid
p. 1796-1811
Dynamic effects associated with spatial discretization of nonlinear wave equations
p. 1812-1826
Approximation of singularly perturbed parabolic equations in unbounded domains subject to piecewise smooth boundary conditions in the case of solutions that grow at infinity
p. 1827-1843
Numerical simulation of unsteady flows with transient regimes
p. 1844-1852
Continuous compression waves in the two-dimensional Riemann problem
p. 1853-1859
Direct and inverse problems of determining the parameters of multilayer nanostructures from the angular spectrum of the intensity of reflected X-rays
p. 1860-1867
Preconditioning of the Euler and Navier–Stokes equations in low-velocity flow simulation on unstructured grids
p. 1868-1884
Correctness of the linear closure of hyperplane-based recognition algorithms
p. 1885-1904

Sommaire du Fascicule no. 11

Mathematical model of optimal chemotherapy strategy with allowance for cell population dynamics in a heterogeneous tumor
p. 1907-1919
A simple technique for constructing two-step Runge–Kutta methods
p. 1920-1930
Solution of boundary value problems for Laplace's equation in a piecewise homogeneous plane with a parabolic crack (screen)
p. 1931-1936
First moment functions of the solution to the heat equation with random coefficients
p. 1937-1952
Numerical analysis of a quasi-gasdynamic algorithm as applied to the Euler equations
p. 1953-1969
Symmetric difference schemes of componentwise splitting and equivalent predictor-corrector scheme based on the Godunov method as applied to multidimensional gasdynamic simulation
p. 1970-1987
Numerical method for finding 3D solitons of the nonlinear Schrödinger equation in the axially symmetric case
p. 1988-2000
Control of magnetohydrodynamic flow in the formation of a magnetic field with a prescribed configuration
p. 2001-2009
Modification of two-step Monte Carlo algorithms based on the symmetry of the first step
p. 2010-2019
A method for finding smoothly varying rules in Multidimensional time series
p. 2020-2040
On measures of similarity and distances between objects
p. 2041-2058
Complexity of certain problems of searching for subsets of vectors and cluster analysis
p. 2059-2065
An efficient method for feature selection in linear regression based on an extended Akaike's information criterion
p. 2066-2080

Sommaire du Fascicule no. 12

Parametric dual regularization for an optimal control problem with pointwise state constraints
p. 2083-2102
Study of an adaptive single-phase method for approximating the multidimensional Pareto frontier in nonlinear systems
p. 2103-2113
On a class of interior point algorithms
p. 2114-2130
Steplike contrast structures for a second-order ordinary differential equation with a small parameter multiplying the highest derivative
p. 2131-2143
Asymptotic analysis of certain systems of linear differential equations with a large parameter
p. 2144-2155
Approximation of smooth solutions to integral equations with degenerate kernels
p. 2156-2166
On a new approach to asymptotic stabilization problems
p. 2167-2181
Perturbed soliton solutions of the sine-Gordon equation
p. 2182-2188
Mathematical modeling of electromagnetic wave propagation in nonlinear electrodynamics
p. 2189-2200
Solution of the exterior boundary value problem of electromagnetic waves propagating in a dielectric waveguide with an arbitrary cross section
p. 2201-2213
Finite difference method in the problem of diffraction of a plane acoustic wave in a half-plane with a cut
p. 2214-2231
On the structure of internal dissipation of composite compact schemes for gasdynamic simulation
p. 2232-2246
Numerical simulation of the process of formation of shock waves in electron gas in a field-effect transistor
p. 2247-2254
Use of active control for elimination of flow separation with estimation of energy costs
p. 2255-2264
CABARET scheme for the numerical solution of aeroacoustics problems: Generalization to linearized one-dimensional Euler equations
p. 2265-2280