Geodesic

Sommaire du Fascicule no. 1

A residual method for equilibrium problems with an inexcactly specified set
p. 3-8
The method of analytic barriers with updating for minimization of a convex function subject to box contraints on the variables
p. 9-16
Analysis of algorithms of the Arrow–Hurwicz type
p. 17-28
Calculation of eigenvalues in a nonlinear spectral problem for the Hamiltonian systems of ordinary differential equations
p. 29-38
Grid approximation of the solution to the Blasius equation and of its derivatives
p. 39-56
On the numerical solution of singularly perturbed problems with turning points
p. 57-85
A method of detection of instability and for determination of unstable eigenvalues in the Orr–Sommerfeld problem
p. 86-94
A method for solving parabolic equations by means of universal functions
p. 95-99
Splitting schemes in the finite volumes method
p. 100-113
Numerical method for solving initial-boundary value problems for hyperbolic systems of equations on unstructured grids
p. 114-125
On the root vectors of a cylindrical waveguide
p. 126-129
Solution of the equations of steady two-dimensional fluid motion
p. 130-134
Effect of surface elasticity on boundary-layer stability for transonic free-stream velocities
p. 135-140
Splitting the Boltzmann kinetic equation at low Knudsen numbers
p. 141-156
Simulation of free-surface flows involving shock waves
p. 157-167

Sommaire du Fascicule no. 2

Bounds of determinants of matrices satisfying the Hadamard and Brauer conditions
p. 179-185
The diagonal transfer method ($TS$ algorithm) for five-point equations
p. 186-199
A monotone nonlocal cubic spline
p. 200-206
Generalization of the concept of $p$-regularity and higher order optimality conditions
p. 207-216
Regularization methods for solving unstable minimization problems of the first kind with an inaccurately given set
p. 217-224
On the method of exact quasidifferentiable penalty functions
p. 225-238
Theoretical and numerical analysis of quasi-gasdynamic and quasi-hydrodynamic equations
p. 239-255
Computation of externally induced whirlpools in a fluid with a free surface
p. 256-268
Potential theory: equigravitating rods for axisymmetric bodies
p. 269-281
Analysis of boundary value problems for transverse bending of a latticed plate and a method for their approximate solution
p. 282-294
Modeling of propagation of internal gravity waves in gases
p. 295-310
Application of dynamically adaptive grids to the analysis of flows with a mutiscale structure
p. 311-326
Self-similar isentropic compression of matter
p. 327-341
Polynomial algorithm for finding an asymptotically optimal solution to the multi-index planar choice problem
p. 342-345
Stability radius of an efficient solution to a vector quadratic problem of Boolean programming
p. 346-350
Everywhere differentiable quasi-classical approximations of spherical functions
p. 351-352

Sommaire du Fascicule no. 3

A version of the discrete Fourier transform with nodes on parallelepipedal lattices
p. 355-359
Optimization of a class of discrete step control systems
p. 360-366
A generalization of the gradient projection method to extremal problems with preconvex constraints
p. 367-373
The general solution to the principal-agent problem with symmetric information under risk conditions
p. 374-383
The problem of finding approximate solutions to nonlinear differential equations
p. 384-389
The corner boundary layer in nonlinear singularly perturbed elliptic equations
p. 390-406
Difference schemes on irregular grids for equations of mathematical physics with variable coefficients
p. 407-419
A method for approximate solution in $C^2$ of a hyperbolic equation with Lipschitz nonlinearity
p. 420-435
A correct treatment of an ill-posed boundary equation in the acoustics of closed regions
p. 436-442
Unsteady boundary layers on the porous plates in a rotating slot with injection and suction
p. 443-449
Synthesis of currents on a strip for a given physically allowable radiation pattern
p. 450-458
Equivalence of solutions to the integral and differential equations of neutron propagation in infinite media
p. 459-466
Multiple one-dimensional and spherically symmetric self-similar solutions to the nonlinear wave equation for the Higgs field in the de Sitter space
p. 467-488
Example of simultaneous numerical solution of the Boltzmann and Navier–Stokes equations
p. 489-500
A method for solving a discrete optimization problem with polynomially tabular functions
p. 501-507
Stochastic approximation of Boolean functions
p. 508-512

Sommaire du Fascicule no. 4

Parallel solution of symmetric positive definite systems based on decomposition into overlapping blocks
p. 515-528
On two approaches to the common invariant subspace problem for a pair of matrices
p. 529-536
Biorthogonal wavelet schemes based on discrete spline interpolation
p. 537-548
On solving an algebraic system of Stokes type under block diagonal preconditioning
p. 549-557
A modified $2$-factor method for solving systems of nonlinear equations
p. 558-569
The construction of a countable system of coalition-free equilibrium notions
p. 570-576
Stability and controllability of composite linear discrete (2-D)-systems
p. 577-594
Singular problems for Emden-Fowler-type second-order nonlinear ordinary differential equations
p. 595-619
Coarse-grid approximations of the radiation transport equation: problems with substantial absorption
p. 620-640
On the existence of a steady-state oscillation mode in the Cauchy problem for a composite-type equation
p. 641-647
Dynamic adaptation method for a laminar combustion problem
p. 648-661
A statistical method for analyzing the collective motion of bodies in an atmosphere
p. 662-672

Sommaire du Fascicule no. 5

On the choice of a method for solving a general system of nonlinear equations
p. 675-679
Methods for solving multilinear programming problems
p. 680-691
Mesh approximation of singularly perturbed equations with convective terms for the perturbation of data
p. 692-707
On the well-posedness of the Cauchy problem for the system of equations of chemotaxis
p. 708-721
Coefficient stability of three-level operator-difference schemes
p. 722-731
Coarse-grid approximations of the radiation transport equation: Problems with weak absorption
p. 732-755
Grid boundary equations on conducting surfaces with symmetries and their numerical analysis in problems of diffraction by a sphere
p. 756-782
On the asymptotic behavior of the solution to the Cauchy problem for the system of equations of ambipolar diffusion
p. 783-795
Realization of boundary conditions of partial or complete slipping in the solution of Navier–Stokes equations in stream function-vorticity variables
p. 796-806
Posterior detection of a given number of identical subsequences in a quasi-periodic sequence
p. 807-820
Implementation of a class of Boolean functions with a small number of zeros by irredundant disjunctive normal forms
p. 821-828
Scientific conference dedicated to the 90th birthday of academician Anatolij Alekseevich Dorodnitsyn
p. 829-832

Sommaire du Fascicule no. 6

On the 75th birthday of Aleksandr Aleksandrovich Abramov
p. 835-837
Some convergence results for almost linear parallel iterations
p. 838-845
A method for constructing two-sided approximations of the solution to an operator equation with a monotonically decomposable operator
p. 846-854
Adaptive optimal algorithms for ill-posed problems with sourcewise represented solutions
p. 855-873
Orthogonal compactly supported functions in eigenvalue problems
p. 874-880
Nondegeneracy conditions for three-dimensional cells and a formula for the cell's volume
p. 881-894
A discrete method for constructing an approximate viability kernel of a differential inclusion
p. 895-908
Three-point difference schemes of high accuracy order for systems of nonlinear ordinary differential equations of the second order
p. 909-921
New representations of explicit one-step numerical methods for jump-diffusion stochastic differential equations
p. 922-937
Construction of periodic solutions of assured accuracy for a quasilinear mathematical model by the model of small parameter
p. 938-946
Uniform second-order pointwise convergence of a finite difference discretization for a quasilinear problem
p. 947-958
On the global solvability of the initial-boundary value problem for a composite-type nonlinear equation
p. 959-964
Asymptotics of the electromagnetic field generated by a point source in a layered medium
p. 965-990
Addendum to a paper on the Monte Carlo method
p. 991-992

Sommaire du Fascicule no. 7

Types of upper discontinuities of convex polynomial mappings
p. 995-1011
An algorithm for solving quadratic programming problems with linear equality and inequality constraints
p. 1012-1025
Optimal control of viscous gas flows with a moving boundary
p. 1026-1044
Asymptotics of solutions to the optimal control problem for time-indepentent Navier–Stokes equations
p. 1045-1056
Development of the asymptotic method of differential inequalities for step-type solutions of singularly perturbed integro-differential equations
p. 1057-1066
Internal layer in a boundary value problem for a system of two singularly perturbed second-order equations with the same order of singularity
p. 1067-1077
On contrast structures in a system of singulary perturbed equations
p. 1078-1089
Orthogonal compactly supported functions on triangular grids and their use in a mixed variational-difference method
p. 1090-1098
A regularized semiclassical approximation for quantum mechanics
p. 1099-1105
Application of the method of volume and boundary integral equations in models of magnetic systems with superconducting shields
p. 1106-1116
Self-similar solutions to the complete system of Navier–Stokes equations for axially symmetric swirling flows of a viscous compressible gas
p. 1117-1124
Influence of speculative motives on the stability of a single-commodity market
p. 1125-1136

Sommaire du Fascicule no. 8

Generalized saddle version of the level method
p. 1139-1147
Approximation and regularization of optimal control problems for quasilinear elliptic equations
p. 1148-1164
Boundary value problem for a system of fast and slow second-order equations in the case of intersecting roots of the degenerate equation
p. 1165-1179
On using Newton-type iterative methods for solving systems of differential-algebraic equations of index 1
p. 1180-1189
On the reduction of one second-order quasilinear partial differential equation to linear equations and its solutions
p. 1190-1195
The solvability of an inverse problem in parabolic potential theory
p. 1196-1202
Finite-element realization of iterative processes with splitting of boundary conditions for a Stokes-type system in nonconcentric annuli
p. 1203-1216
On analytical and numerical solutions to the radiative transfer problem with a reflecting surface
p. 1217-1228
Electron plasma in a metal half-space in an alternating electric field
p. 1229-1241
On the convergence of difference schemes for the third boundary value problem of elasticity theory
p. 1242-1249
Kalashnikov–Tsiklauri vortices: numerical experiments
p. 1250-1262
Motion of a relativistic charge in electromagnetic field
p. 1263-1274
Bistability and uniqueness of solutions in the problem of second harmonic generation of femtosecond pulses
p. 1275-1288
W-neural networks in the problem of associative memory
p. 1289-1296

Sommaire du Fascicule no. 9

The 80th birthday of Valentin Vital'evich Rumyantsev
p. 1299-1300
A sufficient condition for the monotonicity of a positive definite matrix
p. 1301-1302
On a class of generalized orthogonal matrices
p. 1303-1309
On variance reducing multipliers for Monte Carlo integration
p. 1310-1314
Projective sourcewise representability of normal solutions to linear equations on convex sets
p. 1315-1323
Local programming
p. 1324-1331
Optimality of singular controls in systems with aftereffects of neutral type
p. 1332-1343
The Lagrange multiplier technique for variational inequalities
p. 1344-1357
The problem of checking and correction of numerical results for differential equations, and methods for its solution
p. 1358-1365
The behavior of the solution of a mixed problem for the Sobolev equation in a cylindrical domain as $t\to+\infty$
p. 1366-1378
KP${}_1$ acceleration scheme for inner iterations consistent with the weighted diamond differencing scheme for the transport equation in a two-dimensional geometry
p. 1379-1398
Numerical simulation of three-dimensional viscous flows with gravitational and thermal effects
p. 1399-1415
Analysis of a system of electrodynamic integro-differential equations with constant medium parameters
p. 1416-1421
A projective matching method in the theory of planar irregular waveguides
p. 1422-1428
Invariants of femtosecond pulse propagation in photonic crystals
p. 1429-1433
A modified scheme for analyzing the process of melting
p. 1434-1443
Flow computation in the bottom vacuum region behind a plate in a hypersonic rarefied gas stream
p. 1444-1456

Sommaire du Fascicule no. 10

On a generalization of the Obreshkoff–Ehrlich method for simultaneous extraction of all roots of polynomials over an arbitrary Chebyshev system
p. 1459-1466
Partial inversion of a singular Cauchy integral and a logarithmically singular integral defined on a set of intervals in the eigenmode problem for a coplanar waveguide
p. 1467-1473
New extremum conditions for smooth problems with constraints set in the form of equations
p. 1474-1484
Algorithms for open-loop and closed-loop optimization of control systems with intermediate state contraints
p. 1485-1504
On the theory of necessary optimality conditions for a problem with distributed parameters
p. 1505-1520
Minimax control problem for a parabolic variational inequality
p. 1521-1531
Asymptotics of solutions to a nonlinear parabolic equation in the neighborhood of front formation
p. 1532-1546
An approach to the numerical integration of the Cauchy problem for delay differential equations
p. 1547-1556
Unique solvability of an integral equation and a computer algorithm for an inner Neumann problem
p. 1557-1565
Computation of equations up to a prescribed accuracy with respect to singular terms and defect of differential equations
p. 1566-1582
Method of quasi-gasdynamic splitting for solving the Euler equations
p. 1583-1596
Analysis of traveling solitary waves in a four-component reaction-diffusion model
p. 1597-1609
Analysis of the dependence of the waveguide noise-reduction frequency spectrum on a spectral parameter contained in a boundary condition
p. 1610-1612
On compact difference schemes for the heat equation
p. 1613-1616

Sommaire du Fascicule no. 11

Parallel versions of some iterative methods with factorized preconditioners
p. 1619-1636
On the convergence of multiple Fourier–Hermite series
p. 1637-1657
Numerical methods for open loop and closed loop optimization of piecewise linear systems
p. 1658-1674
Approximation and regularization of optimal control problems for systems described by one-sided boundary value problems for elliptic equations
p. 1675-1696
Matrix correction of a linear programming problem with inconsistent constraints
p. 1697-1705
On the numerical integration of the Euler kinematic equations
p. 1706-1712
Substantiation of two-scale homogenization of one-dimensional nonlinear thermoviscoelasticity equations with nonsmooth data
p. 1713-1733
On an initial-boundary value problem in magnetic hydrodynamics
p. 1734-1741
Broken symmetry and hysteresis in steady-state and quasi-steady solutions to Euler and Navier–Stokes equations
p. 1742-1750
Approximation of completely bounded sets by the deep holes method
p. 1751-1760

Sommaire du Fascicule no. 12

On the 90th birthday of Professor Vitalij Arsen'evich Ditkin (1910–1987)
p. 1763-1807
A regularization technique for computing the hypergeometric function $F(a,b;c;z)$in the neighborhood of the singular points $z=1$ and $z=\infty$
p. 1808-1832
Extremal problems with d.c.-contraints
p. 1833-1843
Approximation of the problem of controlling argument transformation in a nonlinear parabolic equation
p. 1844-1856
Homogenization and asymptotics for a membrane with closely spaced clamping points
p. 1857-1869
Numerical simulation of nonlinear internal gravity waves
p. 1870-1885
Hypersonic rarefied gas flow past a sharp nose
p. 1886-1892
Iterative method for matching solutions to the heat balance equations for different parts of a thermoelectric cooler
p. 1893-1906
The construction of a recognition algorithm in the algebraic closure
p. 1907-1911
Correction to: “New representations of explicit one-step numerical methods for stochastic differential equations with a jump component”