Geodesic

Sommaire du Fascicule no. 1

On the 80th birthday of academician Gurii Ivanovich Marchuk
p. 3-6
A modification of conjugate direction methods
p. 7-11
Highly accurate calculation of agular spheroidal functions
p. 12-17
The statement and numerical solution of an optimization problem in X-ray tomography
p. 18-25
An iterative method based on a modified Lagrangian functional for finding a saddle point in the semicoercive Signorini problem
p. 26-36
A method for the asymptotic stabilization to a given trajectory based on the initial data
p. 37-51
Grid approximation of singularly perturbed parabolic convection-diffusion equations with a piecewise-smooth initial condition
p. 52-76
Evaluation of a continuous wavelet transform by solving the Cauchy problem for a system of partial differential equations
p. 77-82
Intermediate asymptotics for solutions to the degenerate principal resonance equations
p. 83-94
Construction of quasi-periodic solutions of guaranteed accuracy by the small parameter method
p. 95-101
Asymptotics of simple eigenvalues and eigenfunctions for the Laplace operator in a domain with oscillating boundary
p. 102-115
Three- and four-step implicit absolutely stable fourth-order Runge–Kutta schemes
p. 116-130
On the regularity of solutions to the drift-diffusion approximation equations in gas discharge theory
p. 131-147
Skin effect at a finite temperature with a diffusive condition on the boundary of the half-space of the conducting medium
p. 148-160
Conservative finite-difference scheme for the problem of propagation of a femtosecond pulse in a nonlinear photonic crystal with nonreflecting boundary conditions
p. 161-171
Joint detection of a given number of reference fragments in a quasi-periodic sequence and its partition into segments containing series of identical fragments
p. 172-189
Academician Nikolai Sergeevich Bakhvalov (1934–2005)
p. 190-192

Sommaire du Fascicule no. 2

On the 70th Birthday of professor Fedor Pavlovich Vasil'ev
p. 195-204
An implicit function theorem without a priori assumptions about normality
p. 205-215
Computation of lower bounds on the network cost in location problems subject to distance constraints
p. 216-221
Investigation of polynomial algorithms for solving the three-index planar assignment problem
p. 222-228
Solving linear systems of differential and difference equations with respect to a part of the unknowns
p. 229-241
A method of asymptotic constructions of improved accuracy for a quasilinear singularly perturbed parabolic convection-diffusion equation
p. 242-261
Stability criterion for small perturbations for a quasi-gasdynamic system of equations
p. 262-269
Combined use of the finite element and finite superelement methods
p. 270-283
On a problem with nonperiodic frequent alternation of boundary conditions imposed on fast oscillating sets
p. 284-294
Two-step iterative methods for solving the stationary convection-diffusion equation with a small parameter at the highest derivative on a uniform grid
p. 295-306
Quasi-steady-state particle distributions for an equation of the Landau–Fokker–Planck type with sources
p. 307-317
Leveling a capillary ridge generated by substrate geometry
p. 318-328
Solution to the Boltzmann kinetic equation for high-speed flows
p. 329-343
Homogeneous and rank bases in spaces of metric configurations
p. 344-360

Sommaire du Fascicule no. 3

On the 100th birthday of Academician Sergei Mikhailovich Nikol'skii
p. 363-371
Regularization for unconstrained vector optimization of convex functionals in Banach spaces
p. 372-378
On the Markov homogeneous optimization method
p. 379-394
Optimal location of interconnected facilities on tree networks subject to distance constraints
p. 395-400
Numerical stability of a method for transferring boundary conditions
p. 401-406
Grid approximation of singularly perturbed parabolic equations in the presence of weak and strong transient layers induced by a discontinuous right-hand side
p. 407-420
Application of stochastic equivalence for solving parabolic partial differential equations
p. 421-432
On the stability and domain of attraction of a stationary nonsmooth limit solution of a singularly perturbed parabolic equation
p. 433-444
Efficient three-level scheme for parabolic equations in cylindrical coordinates in a region with a small hole
p. 445-456
High-order accurate equations describing vibrations of thin bars
p. 457-472
Smooth volume integral conservation law and method for problems in Lagrangian coordinates
p. 473-484
On the Galilean group for balance relations generating kinetic schemes
p. 485-489
Numerical method for solving an inverse problem for a population model
p. 490-500
Numerical investigation of trapped modes in an irregular waveguide
p. 501-508
Direct numerical simulation of turbulent flows in eccentric pipes
p. 509-526
Numerical analysis of the spiral Couette flow of a rarefied gas between coaxial cylinders
p. 527-535
Case of a Boltzmann gas leading to the Smoluchowski coagulation equation
p. 536-549
Computation of axisymmetric MHD flows in a channel with an external longitudinal magnetic field
p. 550-559
Correction

Sommaire du Fascicule no. 4

On the consistency of linear and quadratic systems
p. 563-567
On the convergence of a regularization method for variational inequalities
p. 568-575
An extension of the conditional gradient method to a class of nonconvex optimization problems
p. 576-582
The Edgeworth–Pareto principle in terms of a fuzzy choice function
p. 583-592
On a system of singularly perturbed second-order quasilinear ordinary differential equations in the critical cases
p. 593-604
Implicit and efficient schemes for a parabolic equation in a spherical layer
p. 605-614
Development of the asymptotic method of differential inequalities for investigation of periodic contrast structures in reaction-diffusion equations
p. 615-623
Stationary internal layers in a reaction-advection-diffusion integro-differential system
p. 624-646
Inverse coefficient problem for a quasilinear hyperbolic equation with final overdetermination
p. 647-666
Asymptotics of eigenelements of boundary value problems for the Schrödinger operator with a large potential localized on a small set
p. 667-682
Set-valued mappings specified by regularization of the Schrödinger equation with degeneration
p. 683-699
Numerical simulation of critical dependences for symmetric two-layered Josephson junctions
p. 700-714
Weighted Monte Carlo method for an approximate solution of the nonlinear coagulation equation
p. 715-726
Finite-difference scheme for two-scale homogenized equations of one-dimensional motion of a thermoviscoelastic Voigt-type body
p. 727-754
A method for constructing an optimal estimate calculation algorithm
p. 755-762
On the solvability and regularity of comparison problems for text fragments
p. 763-768

Sommaire du Fascicule no. 5

On quadratures related to Padé approximants for the inversion of the Laplace transform
p. 771-780
An extraproximal method for solving equilibrium programming problems in a Hilbert space
p. 781-798
On parabolic equations with a small parameter
p. 799-804
The Cauchy problem for a singularly perturbed Volterra integro-differential equation
p. 805-812
A method for finding coefficients of a quasilinear hyperbolic equation
p. 813-833
Asymptotic behavior of the solution to a convection-diffusion problem with bulk chemical reaction in the wake of a particle
p. 834-847
Numerical solution of the linear inverse problem for the Euler–Darboux equation
p. 848-857
On the convergence rate and optimization of a numerical method with splitting of boundary conditions for the stokes system in a spherical layer in the axisymmetric case: Modification for thick layers
p. 858-886
Mathematical simulation of laser induced melting and evaporation of multilayer materials
p. 887-901
Development of the Raleigh–Tailor instability in inhomogeneous magnetic gas-dynamic flows
p. 902-912
Calculation of shock compression of porous media in conical solid-state targets with an outlet hole
p. 913-931
On oscillations of a semi-infinite rotating liquid with its free surface excited by moving sources
p. 932-947
Effect of surface elasticity on the transformation of acoustic disturbances into Tollmien–Schlichting waves in
p. 948-954
On the construction of samples for testing approximate optimization methods for estimate calculation algorithms
p. 955-960

Sommaire du Fascicule no. 6

On the SOR method with overlapping subsystems
p. 963-974
A minimal residual method for linear polynomials in unitary matrices
p. 975-982
Optimization of the generalized method of Hermitian and skew-Hermitian splitting iterations for solving symmetric saddle-point problems
p. 983-995
Highly accurate calculation of radial spheroidal functions
p. 996-1001
Controllability of vibrations of a system of objects with distributed and lumped parameters
p. 1002-1018
A method for calculating invariant subspaces of symmetric hyperbolic equations
p. 1019-1031
Numerical analysis of the Toda lattice equations
p. 1032-1044
Approximate method for solving the boundary value problem for a parabolic equation with inhomogeneous transmission conditions of nonideal contact type
p. 1045-1057
Approximate open boundary conditions for a class of hyperbolic equations
p. 1058-1073
On the construction of second-to-fourth-order accurate approximations of spatial derivatives on an arbitrary set of points
p. 1074-1095
Parallel iterative methods using factorized preconditioning matrices for solving elliptic equations on triangular grids
p. 1096-1113
Numerical simulation of the unsteady aerodynamic interaction of two plane airfoil cascades
p. 1114-1127
Calculation of effective moduli of composite materials
p. 1128-1136

Sommaire du Fascicule no. 7

On the 80th Birthday of Aleksandr Aleksandrovich Abramov
p. 1139-1143
Brief history of the Dorodnicyn Computing Center, Russian Academy of Sciences (dedicated to the 50th anniversary of its foundation)
p. 1144-1183
A first-order continuous method for the Antipin regularization of monotone variational inequalities in a Banach space
p. 1184-1194
Calculation of the branch points of the eigenfunctions corresponding to wave spheroidal functions
p. 1195-1210
Cubature formulas for a disk that are invariant under groups of transformations of regular polygons into themselves
p. 1211-1218
Finding the response matrix to the external action from a subspace for a discrete linear stochastic dynamical system
p. 1219-1231
Reductions of interval nonlinear programming problem
p. 1232-1240
A method for solving a boundary problem for a nonlinear controlled system
p. 1241-1250
Descent method for nonsmooth variational inequalities
p. 1251-1257
Measure of stability for a finite cooperative game with a parametric optimality principle (from Pareto to Nash)
p. 1258-1264
Computation of eigenvalues of perturbed discrete semibounded operators
p. 1265-1272
Solvability of the Neumann problem for a Sobolev pseudoparabolic equation
p. 1273-1282
Computation of multispecies diffusion rates
p. 1283-1285
Finite-volume algorithm for solving the time-dependent Maxwell equations on unstructured meshes
p. 1286-1301
Calculation of deformations in nanocomposites using the block multipole method with the analytical-numerical account of the scale effects
p. 1302-1321
Numerical simulation of discontinuous waves propagating over a dry bed
p. 1322-1344

Sommaire du Fascicule no. 8

On the 80th birthday of Academician Oleg Mikhailovich Belotserkovskii
p. 1347-1352
Solvability of matrix equations in rings of quasi-diagonal matrices and similarity of matrix polynomials
p. 1353-1362
Necessary optimality conditions in an abnormal optimization problem with equality constraints
p. 1363-1368
Newton-type methods for constrained optimization with nonregular constraints
p. 1369-1391
Rosenbrock schemes with complex coefficients for stiff and differential algebraic systems
p. 1392-1414
Numerical stabilization of the Lorenz system by a small external perturbation
p. 1415-1422
Regularization of a two-dimensional singularly perturbed parabolic problem
p. 1423-1432
A parallel computational scheme with ninth-order multioperator approximations and its application to direct numerical simulation
p. 1433-1452
Direct numerical simulation of the turbulent flow in an elliptical pipe
p. 1453-1461
On the convergence of the Galerkin method for coupled thermoelasticity problems
p. 1462-1474
A mixed problem for the equation of internal gravity waves in an infinite cylindrical domain
p. 1475-1493
Monte Carlo methods in applied mathematics and computational aerodynamics
p. 1494-1518
Investigation and reduction of variance of a weighted estimate in numerical statistical simulation
p. 1519-1536

Sommaire du Fascicule no. 9

On the 70th birthday of academician Yurii Sergeevich Osipov
p. 1539-1544
Some estimates for the error in mixed Fourier–Bessel expansions of functions of two variables
p. 1545-1565
Numerical solution of optimal control problems for loaded lumped parameter systems
p. 1566-1581
Buffer phenomenon in systems with one and a half degrees of freedom
p. 1582-1593
Discretization of the solutions to Poisson's equation
p. 1594-1604
Asymptotic solution to the problem of autoresonance: Outer expansion
p. 1605-1616
The use of solutions on embedded grids for the approximation of singularly perturbed parabolic
p. 1617-1637
Monotonicity criteria for difference schemes designed for hyperbolic equations
p. 1638-1667
Substantiation of the field functional method as applied to scattering by a doubly periodic magnetodielectric structure
p. 1668-1674
Computation of paraxial wave fields using transparent boundary conditions
p. 1675-1681
Convergence of solutions for a network approximation of the two-dimensional Laplace equation in a domain with a system of absolutely conducting disks
p. 1682-1691
The $P_1$ and $P_2$ approximations of the spherical harmonic method as applied to radiative heat transfer computations with allowance for strong blowing from the surface of a vehicle moving in the Jovian atmosphere
p. 1692-1703
A postprocessor for a posteriori error estimation of computed flow parameters
p. 1704-1710
Numerical simulation of the consequences of a mechanical action on a human brain under a skull injury
p. 1711-1720

Sommaire du Fascicule no. 10

On the 100th birthday of academician A. N. Tikhonov
p. 1723-1724
Minimization methods for approximating tensors and their comparison
p. 1725-1734
An iterative regularization method for the 2-constrained pseudoinversion of an operator equation
p. 1735-1743
Real-time calculation of current optimal feedbacks for a delay system
p. 1744-1757
Optimality conditions in a step control problem
p. 1758-1770
Extraproximal approach to calculating equilibriums in pure exchange models
p. 1771-1783
An algorithm for solving a two-person game with information transfer
p. 1784-1789
On comparison of approximate solutions in vector optimization problems
p. 1790-1801
Averaging initial data in applied problems
p. 1802-1808
Chaos phenomena in a circle of three unidirectionally connected oscillators
p. 1809-1821
Asymptotic expansion of the solution to the convective diffusion problem in the wake of a spherical particle
p. 1822-1837
Thermodynamically conditioned splitting schemes in combustion problems
p. 1838-1852
Algorithm composition scheme for problems in composite domains based on the difference potential method
p. 1853-1870
Difference methods for solving boundary value problems for fractional differential equations
p. 1871-1881
Identification of a dissipation coefficient by a variational method
p. 1882-1893
nvestigation of the efficiency of using numerical schemes of a high order of accuracy for solving Navier–Stokes and Reynolds equations on unstructured adapted grids
p. 1894-1907
Description of the types of maximum noninteger vertices of the polyhedron in the three-index axial assignment problem
p. 1908-1912

Sommaire du Fascicule no. 11

Constructing regularization methods in the spaces of differentiable functions
p. 1915-1922
Fast automatic differentiation as applied to the computation of second derivatives of composite functions
p. 1923-1949
On necessary extremum conditions for finite-dimensional problems with inequality constraints
p. 1950-1961
Bernstein polynomials and composite Bézier curves
p. 1962-1971
Real-time calculation of the current state estimates for a class of delay systems
p. 1972-1986
New numerical methods and some applied aspects of the $p$-regularity theory
p. 1987-2000
Reductions of interval noncooperative games
p. 2001-2008
Hybrid adaptive methods for approximating a nonconvex multidimensional Pareto frontier
p. 2009-2023
Iterative proximal regularization method for finding a saddle point in the semicoercive Signorini problem
p. 2024-2031
Two-end controllability of elastic vibrations of systems with distributed and lumped parameters
p. 2032-2044
Grid approximation of singularly perturbed parabolic reaction-diffusion equations on large domains with respect to the space and time variables
p. 2045-2064
An efficient numerical algorithm for simulating a two-dimensional glow discharge
p. 2065-2080
Study of vortex breakdown in a stratified fluid
p. 2081-2098
Variance of a standard vector Monte Carlo estimate in the theory of polarized radiative transfer
p. 2099-2113
In memory of academician Dmitrii Evgen'evich Okhotsimskii (1921–2005)
p. 2114-2119
Letter to editorial board

Sommaire du Fascicule no. 12

On the 100th birthday of Academician Andrei Nikolaevich Tikhonov
p. 2123-2127
Lower bound for the convergence rate of nonstationary Jacobi-like iteration
p. 2128-2137
A numerical comparison of two minimal residual methods for linear polynomials in unitary matrices
p. 2138-2148
Application of wavelet bases in linear and nonlinear approximation to functions from Besov spaces
p. 2149-2158
The average dimension of a multidimensional function for quasi-Monte Carlo estimates of an integral
p. 2159-2165
Asymptotic behavior of the optimal cost functional for a rapidly stabilizing indirect control in the singular case
p. 2166-2177
Using interdependent information on the relative importance of criteria in decision making
p. 2178-2190
Approximate solutions to Dirichlet control problems for the wave equation in Sobolev classes and dual observation problems
p. 2191-2208
Diagonally implicit Runge–Kutta methods for stiff problems
p. 2209-2222
Conditions for partitioning a system of differential algebraic equations into weakly coupled subsystems
p. 2223-2227
Solution to the boundary value problem for an arbitrary elliptic operator subject to a radiation condition
p. 2228-2234
Time asymptotic behavior of the solution to a quasilinear parabolic equation
p. 2235-2253
Conservative finite-difference scheme for the problem of propagation of a femtosecond pulse in a photonic crystal with combined nonlinearity
p. 2254-2264
Artificial boundary conditions for finding surface waves in the problem of diffraction by a periodic boundary
p. 2265-2276
Three-dimensional numerical simulation of the inverse problem of thermal convection using the quasi-reversibility method
p. 2277-2288
Speedup estimates for some variants of the parallel implementations of the branch-and-bound method
p. 2289-2304