Geodesic

Sommaire du Fascicule no. 1

Stable approximation of solutions to irregular nonlinear operator equations in a Hilbert space under large noise
p. 3-10
On the construction of interpolation mesh surfaces
p. 11-15
New inversion formula for the solution to an inverse diffraction problem
p. 16-20
A regularized Newton method for solving equilibrium programming problems with an inexactly specified set
p. 21-33
Stability of a matrix finite-difference scheme for solving the problem of elastic vibrations
p. 34-38
A parametrization method for solving nonlinear two-point boundary value problems
p. 39-63
Nonstationary three-dimensional contrasting structures
p. 64-66
Asymptotic analysis of integro-differential systems with an unstable spectral value of the integral operator's kernel
p. 67-82
Numerical integration of systems of delay differential-algebraic equations
p. 83-95
Critical stability of solutions to linear ordinary differential equations with large high-frequency terms
p. 96-109
Approximate solutions to one-dimensional nonlinear heat conduction problems with a given flux
p. 110-120
Nondegenerate plasma with a diffusive boundary condition in a high-frequency electric field near resonance
p. 121-128
Convergence of the Galerkin methods for equations with elliptic operators on subspaces and solving the electric field equation
p. 129-139
Numerical study of the transverse supersonic flow of a diatomic rarefied gas past a plate
p. 140-154
Numerical study of the interaction between shocks and rarefaction waves in an ideal gas
p. 155-161
Statistical simulation of one type of pairs of random variables with the use of fictitious jumps
p. 162-173
In memory of Stanislav Ivanovich Gusev (1936–2006)
p. 174-175
Correction
Correction

Sommaire du Fascicule no. 2

On tridiagonal conjugate-normal matrices
p. 179-185
Some remarks on works concerning the summation of series with inverse powers of zeros of first-kind Bessel functions
p. 186-188
First-order methods for certain quasi-variational inequalities in a Hilbert space
p. 189-196
On the spectral properties of an operator pencil
p. 197-205
Quadratic approximation of penalty functions for solving large-scale linear programs
p. 206-221
Alternating boundary layer type solutions of some singularly perturbed periodic parabolic equations with Dirichlet and Robin boundary conditions
p. 222-233
Numerical methods based on multipoint Hermite interpolating polynomials for solving the Cauchy problem for stiff systems of ordinary differential equations
p. 234-244
Cauchy problem for a quasilinear parabolic equation with a source term and an inhomogeneous density
p. 245-255
Analysis of reaction-diffusion systems by the method of linear determining equations
p. 256-268
Mathematical models in nanooptics and biophotonics based on the discrete sources method
p. 269-287
Numerical simulation of pollution and oil spill spreading by the stochastic discrete particle method
p. 288-301
Lift maximization in the flow around a contour over a screen
p. 302-309
Numerical simulation of axisymmetric afterbody flows with jet exhaust
p. 310-320
Variational statement of deformation problems for a composite latticed plate with various types of lattices
p. 321-337
Discrete optimization
p. 338-352

Sommaire du Fascicule no. 3

A method of local convex majorants for solving variational-like inequalities
p. 355-363
Necessary optimality conditions for abnormal problems with geometric constraints
p. 364-375
On some optimal control problems and their finite difference approximations and regularization for quasilinear elliptic equations with controls in the coefficients
p. 376-396
Local search in problems with nonconvex constraints
p. 397-413
Calculation of solutions to the Mathieu equation and of related quantities
p. 414-423
Solutions to a singularly perturbed parabolic equation with internal and boundary layers depending on stretched variables of different orders
p. 424-437
Asymptotics of the solution to a singularly perturbed system of first-order partial differential equations with small nonlinearity in the critical case
p. 438-444
On the difference approximations of overdetermined hyperbolic equations of classical mathematical physics
p. 445-459
Approximation of the solution and its derivative for the singularly perturbed Black–Scholes equation with nonsmooth initial data
p. 460-480
Application of compound finite difference schemes for the calculation of time-dependent flows with narrow thermal layers
p. 481-489
Three-dimensional numerical simulation of the plasma plume from a stationary plasma thruster
p. 490-505
Method for solving the equations describing the interaction of a three-dimensional boundary layer with an outer inviscid flow
p. 506-529
Three-dimensional Tollmien–Schlichting waves generated by sound in the boundary layer on an elastic surface at transonic free-stream velocities
p. 530-537
On the construction of irredundant coverings of an integer matrix
p. 538-546
Predicate description of universal constraints in the algebraic approach to pattern recognition problems
p. 547-552

Sommaire du Fascicule no. 4

Sensitivity of solutions to systems of optimality conditions under the violation of constraint qualifications
p. 555-577
On the regularization of an equation of the first kind with a multiple integration operator
p. 578-586
Matrix correction of a dual pair of improper linear programming problems
p. 587-601
Duality-based regularization in a linear convex mathematical programming problem
p. 602-625
Modeling of certain problems in financial mathematics: Spread option pricing
p. 626-637
On certain properties of a nonlinear eigenvalue problem for Hamiltonian systems of ordinary differential equations
p. 638-645
Singularly perturbed two-dimensional parabolic problem in the case of intersecting roots of the reduced equation
p. 646-654
The Cauchy problem for a singularly perturbed integro-differential Fredholm equation
p. 655-664
On a combined grid method for solving the Dirichlet problem for the Laplace equation in a rectangular parallelepiped
p. 665-670
On the stability of the $\sigma$-scheme with transparent boundary conditions for parabolic equations
p. 671-692
Numerical study of the basic stationary spherical couette flows at low Reynolds numbers
p. 693-716
Dynamically adapted grids for interacting discontinuous solutions
p. 717-737
On the theory of periodic layers in incompressible fluid
p. 738-744

Sommaire du Fascicule no. 5

Expansions and polynomial limit representations of weighted pseudoinverses
p. 747-766
On the total-variation convergence of regularizing algorithms for ill-posed problems
p. 767-783
The Gauss–Newton method for finding singular solutions to systems of nonlinear equations
p. 784-795
Regularized dual method for nonlinear mathematical programming
p. 796-816
On the convergence rate of the Markov homogeneous monotone optimization method
p. 817-828
A method for solving nonlinear spectral problems for a class of systems of differential algebraic equations
p. 829-834
Approximation of systems of singularly perturbed elliptic reaction-diffusion equations with two parameters
p. 835-866
Calculating the coefficients of a discrete elliptic equation from spectral data
p. 867-881
Mathematical modeling and study of the process of solidification in metal casting
p. 882-902
Oscillations of a rotating stratified fluid with its free surface excited by moving sources
p. 903-922
On the choice of approximations in direct problems of nozzle design
p. 923-936

Sommaire du Fascicule no. 6

Spline approximation method
p. 939-943
Two-end observability of elastic vibrations in distributed and lumped parameter systems
p. 944-958
Explicit multistep method for the numerical solution of stiff differential equations
p. 959-967
On transition processes for the Van der Pol equation
p. 968-979
Finite-difference schemes for solving multidimensional hyperbolic equations and their systems
p. 980-987
Substantiation of two-scale homogenization of the equations governing the longitudinal vibrations of a viscoelastoplastic Ishlinskii material
p. 988-1006
Solving reactor problems to determine the multiplication: A new method of accelerating outer iterations
p. 1007-1014
Calculation of the orientation distribution function from a set of individual orientations on $\mathrm{SO}(3)$
p. 1015-1028
Models of a linearized Boltzmann collision integral
p. 1029-1044
On the sizes of discrete velocity models of the Boltzmann equation for mixtures
p. 1045-1054
Coefficient inverse extremum problems for stationary heat and mass transfer equations
p. 1055-1076
Investigation of polynomial algorithms for solving the multicriteria three-index planar assignment problem
p. 1077-1086
Solution of the NP-hard total tardiness minimization problem in scheduling theory
p. 1087-1098
Algebra over estimation algorithms: Normalization and division
p. 1099-1109
In memory of Vyacheslav Arkhipovich Lyul'ka (1937–2006)
p. 1110-1112

Sommaire du Fascicule no. 7

On the 80th birthday of Il'ya Meierovich Sobol
p. 1115-1122
Necessary extremum conditions in the optimal control problem with state constraints
p. 1123-1150
Refinement of Lagrangian bounds in optimization problems
p. 1151-1157
Singular problem for a third-order nonlinear ordinary differential equation arising in fluid dynamics
p. 1158-1178
Numerical optimization of certain dynamical stochastic systems
p. 1179-1186
New splitting methods for two-dimensional evolutionary equations
p. 1187-1191
Numerical solution of the nonstationary Stokes system by methods of adjoint-equation theory and optimal control theory
p. 1192-1207
Autoresonance excitation of a breather in weak ferromagnetics
p. 1208-1220
Numerical solution to the Kolmogorov–Feller equation
p. 1221-1228
Reflection and transmission of plasma waves at the interface of crystallites
p. 1229-1247
Analytical integration of the radiative transfer equation with respect to the mean free path in a problem with barrier geometry and a point source
p. 1248-1263
Monte Carlo study of time asymptotics of the polarized radiation intensity
p. 1264-1275
In memory of Vera Nikolaevna Faddeeva (dedicated to her 100th birthday)
p. 1276-1280

Sommaire du Fascicule no. 8

On the 100th anniversary of the birthday of corresponding member of the USSR Academy of Sciences Dmitrii Konstantinovich Faddeev (1907–1989)
p. 1283-1286
Regularization methods for certain quasi-variational inequalities with inexactly given data in a Hilbert space
p. 1287-1297
On expansions of functions of two variables in mixed Fourier–Jacobi series and their application for estimation of errors of cubature formulas
p. 1298-1307
Optimal control in a macroeconomic problem
p. 1308-1322
Finite-difference approximation of dirichlet observation problems for weak solutions to the wave equation subject to Robin boundary conditions
p. 1323-1339
The second Hamiltonian structure for a special case of the Lotka–Volterra equations
p. 1340-1349
Calculating the eigenvalues of the Sturm–Liouville problem with a fractal indefinite weight
p. 1350-1355
On the formation of sharp transition layers in two-dimensional reaction-diffusion models
p. 1356-1364
Source and coefficient inverse problems for an elliptic equation in a rectangle
p. 1365-1377
On the convergence of numerical methods for solving a Volterra bilinear equations of the first kind
p. 1378-1386
High-order composite compact schemes for simulation of viscous gas flows
p. 1387-1401
Mathematical modeling of the three-dimensional evolution of the interface between fluids of different viscosities and densities in an inhomogeneous ground
p. 1402-1412
X-ray tomographic determination of the chemical composition and structure of an inhomogeneous medium
p. 1413-1422
A method for constructing a recognition algorithm in algebra over an estimate calculation set
p. 1423-1427
Knowledge representation and acquisition in expert systems for pattern recognition
p. 1428-1454
In memory of academician Valentin Vasil'evich Voevodin (1934–2007)
p. 1455-1456

Sommaire du Fascicule no. 9

Computation of the commutator of $2\times2$ matrices via six multiplications
On special solutions to the matrix equations $X\bar X=I$ и $X\bar X=-I$
p. 1460-1466
Defining systems and Newton-like methods for finding singular solutions to nonlinear boundary value problems
p. 1467-1485
The method of determining all real nonmultiple roots of systems of nonlinear equations
p. 1486-1493
Computing the sums of Rayleigh–Schrödinger series of perturbed self-adjoint operators
p. 1494-1505
Necessary optimality conditions for singular controls
p. 1506-1511
The Lagrange principle in the problem of optimal inversion of linear operators in finite-dimensional spaces with a priori information about its solution
p. 1512-1523
Application of parallel heuristic algorithms for speeding up parallel implementations of the branch-and-bound method
p. 1524-1537
Numerical estimates for stability domains of Lagrangian solutions to the restricted three-body problem
p. 1538-1549
A method of convolution of Fourier expansions as applied to solving boundary value problems with intersecting interface lines
p. 1550-1556
The number of energy levels of a particle in an MQW structure
p. 1557-1575
Physical pattern of wave emission in a wedge-shaped region: Generalization of the transverse diffusion method
p. 1576-1590
Necessity of entropy control in gasdynamic computations
p. 1591-1601
Asymptotics of optimal control in the problem of harmonic wave scattering by an obstacle
p. 1602-1608
Analysis of the evolution of an eddy system based on the Boltzmann equation
p. 1609-1615
The Chebyshev–Markov–Krein algorithm for analyzing microphysical processes in hail clouds
p. 1616-1635
Maximum predicate descriptions of sets of mappings
p. 1636-1648

Sommaire du Fascicule no. 10

Tikhonov Regularization for General Nonlinear Constrained Optimization Problem
p. 1651-1656
On the stability of inner and outer approximations of a convex compact set by a ball
p. 1657-1671
Numerical analysis of the spectrum of the Orr–Sommerfeld problem
p. 1672-1691
Numerical simulation of the transition to chaos in a dissipative Duffing oscillator with two-frequency excitation
p. 1692-1700
Nonlinear source in diffusion filtering methods for image processing
p. 1701-1705
Necessary conditions for $\varepsilon$-uniform convergence of finite difference schemes for parabolic equations with moving boundary layers
p. 1706-1726
Spectral discretizations of 3-d elliptic problems and fast domain decomposition methods
p. 1727-1745
Asymptotics of solutions to the time-dependent Schrödinger equation with a small Planck constant
p. 1746-1751
Conservative finite-difference scheme for the problem of a femtosecond laser pulse with an axially symmetric profile propagating in a medium with cubic nonlinearity
p. 1752-1773
Numerical analysis of the atomic structure and shape of metal nanoparticles
p. 1774-1783
Design of a subsonic airfoil with upstream blowing
p. 1784-1792
Logical regularities in pattern recognition (parametric approach)
p. 1793-1808

Sommaire du Fascicule no. 11

On modification of certain methods of the conjugate direction type for solving systems of linear algebraic equations
p. 1811-1818
On certain two-sided analogues of Newton's method for solving nonlinear eigenvalue problems
p. 1819-1829
Cutting methods in $E^{n+1}$ for global optimization of a class of functions
p. 1830-1842
Numerical method for solving a nonlinear time-optimal control problem with additive control
p. 1843-1854
Guaranteed-accuracy approximation of reachable sets for a linear dynamic system subject to impulse actions
p. 1855-1864
Optimal control problems with terminal functionals represented as the difference of two convex functions
p. 1865-1879
Calculating the branch points of the eigenvalues of the Coulomb spheroidal wave equation
p. 1880-1897
A dynamic mesh adaptation method for magnetohydrodynamics problems
p. 1898-1912
Dynamic adaptation for parabolic equations
p. 1913-1936
Direct numerical simulation of one type of compressible turbulence interacting with a shock wave
p. 1937-1948
Conservative numerical method for solving the averaged Boltzmann equation
p. 1949-1957
On parametric instability of viscous two-layer fluid in a vessel with a permeable bottom
p. 1958-1968

Sommaire du Fascicule no. 12

Regularization of singular systems of linear algebraic equations by shifts
p. 1971-1978
On modification of certain methods of the conjugate direction type for solving rectangular systems of linear algebraic equations
p. 1979-1987
Finding a complete set of solutions or proving unsolvability for certain classes of matrix polynomial equations with commuting coefficients
p. 1988-1997
Multicriteria equilibrium programming: Extraproximal methods
p. 1998-2013
On certain optimization methods with finite-step inner algorithms for convex finite-dimensional problems with inequality constraints
p. 2014-2022
Duality scheme for solving the semicoercive signorini problem with friction
p. 2023-2036
New variants of the generalized level method for minimization of convex nondifferentiable functions taking infinite values
p. 2037-2054
Piecewise parabolic method on local stencil for gasdynamic simulations
p. 2055-2075
Existence and stability analysis for the Carleman kinetic system
p. 2076-2087
Numerical solution to a two-dimensional hypersingular integral equation and sound propagation in urban areas
p. 2088-2100
Wave motions in a compressible stratified rotating fluid
p. 2101-2109
Modifications of weighted Monte Carlo algorithms for nonlinear kinetic equations
p. 2110-2121