Geodesic

Sommaire du Fascicule no. 1

On the multiplication of scalar and matrix power series
p. 3-7
On minimal cubature formulas with the trigonometric $d$-property in the two-dimensional case
p. 8-16
On extensions of Chebyshev's inequality
p. 17-26
Regularization methods for solving equilibrium programming problems with coupled constraints
p. 27-40
Change of the type of contrast structures in parabolic Neumann problems
p. 41-55
Numerical determination of bounded solutions to discrete singularly perturbed equations and critical combustion regimes
p. 56-87
Construction of asymptotics of a discrete solution based on nonclassical differential approximations
p. 88-109
Grid approximation of a singularly perturbed elliptic equation with convective terms in the presence of various boundary layers
p. 110-125
Asymptotics of a reduced logarithmic capacity
p. 126-144
On the blowup of solutions to semilinear pseudoparabolic equations with rapidly growing nonlinearities
p. 145-155
A finite difference scheme for solving two-liquid magnetohydrodynamic equations in cylindrical coordinates
p. 156-169
On a fast algorithm for the reconstruction of the hierarchical $\varepsilon$-cluster structure
p. 170-179
On the centenary of the birth of Academician Konstantin Konstantinovich Mardzhanishvili (1903–1981)
p. 180-183
In memory of Professor Stanislav Fëdorovich Morozov (1931–2003)
p. 184-192

Sommaire du Fascicule no. 2

On the real stability radius of a normal matrix
p. 195-198
On the calculation of eigenvalues of a symmetric matrix
p. 199-203
A note on the convergence of nonstationary finite-difference analogues
p. 204-211
Sets of lattice cubature rules that are optimal in terms of the number of nodes and exact on trigonometric polynomials in three variables
p. 212-223
Dynamical discrepancy method in the input reconstruction problem with incomplete information
p. 224-232
Necessary optimality conditions for systems with impulse control
p. 233-237
On families of hyperplanes that separate polyhedra
p. 238-253
An all-integer cutting method for linear constrained optimization problems on arrangements
p. 254-261
Splitting of evolutionary equations on the basis of diagonal implicit methods of the third order
p. 262-266
Estimates of local and global errors of the implicit Störmer method for systems of equations
p. 267-271
On the finite-time blowup of solutions to initial–boundary value problems for pseudoparabolic equations with pseudo-Laplacian
p. 272-286
Convergence of finite-difference schemes for Poisson's equation with a dynamic boundary condition
p. 287-297
Grid approximation in a half plane for singularly perturbed elliptic equations with convective terms that grow at infinity
p. 298-314
Approximate inversion of matrices in the process of solving a hypersingular integral equation
p. 315-326
Solution of the eigenvalue problem in the framework of the electron density method
p. 327-329
Analysis methods for structures of dissipative and nondissipative jumps in dispersive systems
p. 330-343
Completeness criteria for classification problems with set-theoretic constraints
p. 344-353
Stability of a correct algorithm in the polynomial closure of the family of binary classification algorithms
p. 354-356
Fast algorithms for synthesizing plane representations of finite metric configurations
p. 357-368

Sommaire du Fascicule no. 3

Aleksei Georgievich Sveshnikov (on the occasion of his eightieth birthday)
p. 371-373
Gradient methods with improved convergence rate
p. 374-382
On the singular values of a special 3-by-3 matrix: sufficient conditions for monotonicity along a ray
p. 383-390
First-order perturbation theory for the symmetric lanczos algorithm
p. 391-399
First-order continuous and iterative methods with a generalized projection operator for monotone variational inequalities in a Banach space
p. 400-410
On sequences of points for the evaluation of improper integrals by quasi-Monte Carlo methods
p. 411-415
Best uniform approximation of a convex compact set by a ball in an arbitrary norm
p. 416-428
Method for minimization of quasiconvex functions based on logarithmic barriers
p. 429-434
Minimizing sequences in problems with d.c. constraints
p. 435-447
On the stability of a steplike contrast structure for a parabolic equation
p. 448-461
Solution of singularly perturbed convection–diffusion problems by the local Green's function method
p. 462-471
Steplike contrast structures for a second-order singularly perturbed quasilinear differential equation in the critical case
p. 472-483
Existence and invertibility theorems for the problem of the variational construction of quasi-isometric mappings with free boundaries
p. 484-494
Monte Carlo methods for solving the first boundary value problem for a polyharmonic equation
p. 495-508
Exact “absorbing” conditions in initial-boundary value problems in the theory of open waveguide resonators
p. 509-525
Numerical study of some solutions to the relativistic equation of scalar particles in the gravitational field of a massive point
p. 526-535
Triple-deck analysis of formation and evolution of supersonic zones and local separation zones in unsteady transonic flow over a surface roughness element
p. 536-544
Quasi-gasdynamic equations and numerical simulation of viscous gas flows
p. 545-556
Scientific conferences held at the Dorodnicyn Computing Center, Russian Academy of Sciences

Sommaire du Fascicule no. 4

Academician Nikolai Sergeevich Bakhvalov (on the occasion of his seventieth birthday)
p. 563-573
A method for computing the generalized hypergeometric function ${}_pF_{p-1}(a_1,\dots,a_p;b_1,\dots,b_{p-1};1)$ in terms of the riemann zeta function
p. 574-586
On the Euclidean distance to the set of matrices with a multiple zero eigenvalue
p. 587-591
Approximate computation of the invariance kernel of differential inclusions
p. 592-602
Asymptotics of the solution to a liner-quadratic periodic problem with a singular matrix perturbation in the performance index
p. 603-616
Numerical optimization of time-dependent multidimensional systems under polyhedral constraints
p. 617-636
A regularized continuous first-order prediction linearization method with a variable metric for solving equilibrium programming problems with an inaccurately prescribed set
p. 637-649
A regularized extragradient method for solving equilibrium programming problems with an inexactly specified set
p. 650-660
Selection of slowly growing sequences whose members satisfy given recursions
p. 661-668
Exponentially fitted scheme for a singularly perturbed problem
p. 669-676
Description of the skin effect in a metal using the two-parameter kinetic equation: diffusive boundary conditions
p. 677-689
Modeling of volume free electron lasers
p. 690-700
Investigation of an economical finite difference scheme for an unsteady viscous weakly compressible gas flow
p. 701-717
Difference approximation of the problem of bending vibrations of a thin elastic plate
p. 718-740
On the application of computer measurement systems in tomography
p. 741-752

Sommaire du Fascicule no. 5

Vsevolod Pavlovich Shidlovskii (on the occasion of his eightieth birthday)
p. 755-759
Optimal parametrization in approximation of curves and surfaces
p. 760-774
Linear parametric semi-infinite programming problems and properties of their solutions in a neighborhood of irregular points
p. 775-791
The steepest-descent barrier-projection method for linear complementarity problems
p. 792-812
Regularization methods with penalty functions for finding nash equilibria in a bilinear nonzero-sum two-person game
p. 813-823
Constructing the set of effective vectors by the method of $\varepsilon$ perturbations
p. 824-845
Second-order accurate (up to the axis of symmetry) finite-element implementations of iterative methods with splitting of boundary conditions for Stokes and stokes-type systems in a spherical layer
p. 846-889
Parametric instability of a viscous fluid in a vessel with a permeable bottom
p. 890-898
A survey of analytical studies of steady viscous incompressible flows (2000–2004)
p. 899-920
Unstable even-parity eigenmodes of the regular static $\mathrm{SU}(2)$ Yang–Mills-dilaton solutions
p. 921-934
On the number of irreducible coverings of an integer matrix
p. 935-940
Sergei Pavlovich Kurdyumov (1928–2004)
p. 941-944

Sommaire du Fascicule no. 6

On the 70th Birthday of Academician Yurii Ivanovich Zhuravlev
p. 949-953
Determination of the coordinates and orientation of an unmanned airborne vehicle from a geophysical field
p. 954-965
On the analytical and numerical stability of critical Lagrange multipliers
p. 966-982
Numerical search for equilibria in bimatrix games
p. 983-997
Linear parametric problems of semi-infinite programming: a continuation method
p. 998-1014
Approximate solution to boundary control and observation problems for the equation describing transverse vibrations of a bar
p. 1015-1032
On the solution of optimal control problems with intermediate conditions
p. 1033-1043
An algorithm for solving a linear maximin problem with coupled variables
p. 1044-1047
A mixed problem for the Boussinesq equation in a bounded domain and the behavior of its solution as time tends to infinity
p. 1048-1059
Asymptotic structure of wave disturbances in the stability theory of a plane Couette–Poiseuille flow
p. 1060-1080
Computation of radiative heat fluxes with allowance for strong blowing for a space vehicle entering the Venusian atmosphere
p. 1081-1091
Application of the spectral method to solving the three-dimensional Boltzmann equation with an external force
p. 1092-1106
Oscillations of semi-infinite stratified fluid with its free surface excited by moving sources
p. 1107-1124
On approximate quasi-classical representations of transition probabilities in nonstationary problems of quantum mechanics
p. 1125-1133
Algebra over estimation algorithms: the minimal degree of correct algorithms
p. 1134-1145
Stochastic approximation of a nonlinear Boolean function
p. 1146-1152

Sommaire du Fascicule no. 7

Professor Ivan Denisovich Sofronov (on the occasion of his 75th birthday)
p. 1155-1156
On the optimization of a class of algorithms for solving nonsymmetric saddle point problems
p. 1157-1166
An extension of the Jacobi algorithm for the complementarity problem in the presence of multivalence
p. 1167-1173
Optimal control of the spread of an infectious disease with allowance for an incubation period
p. 1174-1180
A fifth-order five-stage embedded method of the Dormand–Prince type
p. 1181-1191
On a method for solving boundary value problems for linear differential algebraic system of equations
p. 1192-1195
Grid approximation of the domain and solution decomposition method with improved convergence rate for singularly perturbed elliptic equations in domains with characteristic boundaries
p. 1196-1212
A posteriori error estimation of a finite difference solution based on adjoint equations and differential representations
p. 1213-1225
The maximum principle for the transport equation in the case of Compton scattering
p. 1226-1236
The dynamical system response to a small variation of the right-hand side and finite-dimensional analogues of the Fokker–Planck equation
p. 1237-1250
Artificial boundary conditions for numerical simulation of subsonic gas flows
p. 1251-1278
Numerical analysis of the problem of heating of the multilayer heat shield of a descending space vehicle with allowance for ablation in external and internal heat shield layers
p. 1279-1288
Study of natural convective flows with unstable temperature stratification
p. 1289-1303
Calculation of the flow of rarefied gas around a circular cylinder at low Knudsen numbers
p. 1304-1320
Convex cluster stabilization of classification algorithms as a means for finding collective solutions with high generalization ability
p. 1321-1328

Sommaire du Fascicule no. 8

Two-dimensional discrete groups with finite fundamental regions and their physical and humanitarian interpretations
p. 1331-1344
Hamilton–Jacobi equation-based algorithms for approximate solutions to certain problems in applied geometry
p. 1345-1358
Construction of a unified model for crystal and nearly crystal structures
p. 1359-1373
Three-dimensional grid generation in multistage axial turbines based on the variational barrier method
p. 1374-1382
Bi-Lipschitz parameterizations of nonsmooth surfaces and surface grid generation
p. 1383-1398
Approximation of the eigenfrequencies of a triangular grid of bars
p. 1399-1406
Constrained Delaunay tetrahedralization for bodies with curved boundaries
p. 1407-1423
Error bounds for controllable adaptive algorithms based on a Hessian recovery
p. 1424-1434
The use of lacunas of hyperbolic equations and the difference potential method for computing wave diffraction in a bounded neighborhood of a scatterer at long times
p. 1435-1449
On the convergence of a gradient method for the minimization of functionals in finite deformation elasticity theory and for the minimization of barrier grid functionals
p. 1450-1465
Control of the properties of numerical grids through monitor metrics
p. 1466-1483
Correction of an unstructured Lagrangian mesh by imposing differentiable constraints
p. 1484-1497
Meshless method based on radial basis functions
p. 1498-1505
Improved algorithm for unstructured quadrilateral meshing
p. 1506-1528

Sommaire du Fascicule no. 9

Gennadii Alekseevich Mikhailov (on the occasion of his seventieth birthday)
p. 1531-1537
A regularized extragradient method for solving equilibrium programming problems in a Hilbert space
p. 1538-1554
On the complexity and methods of polyhedral approximations of convex bodies with a partially smooth boundary
p. 1555-1565
A two-person game in mixed strategies as a model of training
p. 1566-1574
On a method for solving the nonlinear eigenvalue problem for a differential algebraic system of equations
p. 1575-1579
On approximate projecting on a stable manifold
p. 1580-1586
On the convergence in $C^1_h$ of the difference solution to the Laplace equation in a rectangular parallelepiped
p. 1587-1593
Averaging algorithms and the support-operator method in elliptic problems with discontinuous coefficients
p. 1594-1605
An asymptotic solution to the bounded plane circular three body problem
p. 1606-1629
Resonances and trapped modes in a quantum waveguide
p. 1630-1638
Integration method as applied to the Cauchy problem for a Langmuir chain with divergent initial conditions
p. 1639-1650
Analytic–numerical investigation of the nonlinear boundary value problem for a superconducting plate in a magnetic field
p. 1651-1676
Error estimation for the Galerkin method as applied to a nonlinear coupled shell thermoelasticity problem with a three-dimensional heat equation
p. 1677-1690
Approximate determination of the impulse responses of a system of telegraph equations
p. 1691-1719
On the properties of optimal point configurations for a family of comparison functionals for metric configurations
p. 1720-1727
Correction
Correction

Sommaire du Fascicule no. 10

Fast convergent iterative methods for the computation of weighted pseudoinverses and weighted normal pseudosolutions with singular weights
p. 1731-1755
Algorithm for solving a linear optimal control problem with minimax performance index
p. 1756-1765
Control of vibrations of coupled objects with distributed and lumped parameters
p. 1766-1784
Global search in a nonconvex optimal control problem
p. 1785-1800
Investigation of algorithms for parallel computations in knapsack-type discrete optimization problems
p. 1801-1809
On the regularization of a class of integral equations of the first kind
p. 1810-1817
On a system of two singularly perturbed second-order quasilinear equations in the critical case
p. 1818-1825
Efficient algorithm for proper-time computations of long electromagnetic phenomena in a bounded computational domain
p. 1826-1836
Diagnostics of singularities of exact solutions in computations with error control
p. 1837-1847
Projection difference scheme for a parabolic functional differential equation with two-dimensional transformation of arguments
p. 1848-1859
Global weighted Monte Carlo method for the nonlinear Boltzmann equation
p. 1860-1870
Numerical simulation of three-dimensional turbulent gas flows in complex nozzle systems
p. 1871-1885
Three-dimensional effects of Tollmien–Schlichting waves generated in a boundary layer at transonic velocities
p. 1886-1892
An algebra over estimation algorithms: monotone decision rules
p. 1893-1904

Sommaire du Fascicule no. 11

V. I. Lebedev (on the occasion of his 75th birthday)
p. 1907-1918
Regularization of unstable finite-dimensional linear problems based on augmented systems
p. 1919-1927
A minimal residual method for a special class of linear systems with normal coefficients matrices
p. 1928-1937
Fast computation of elliptic integrals and their generalizations
p. 1938-1953
Regularized first-order methods for monotone variational inequalities with generalized projection operators
p. 1954-1962
An asymptotic solution to a singularly perturbed time-optimal control problem
p. 1963-1968
An extraproximal method for solving equilibrium programming problems and games
p. 1969-1990
Convergence of the suitable affine subspace method for finding the least distance to a simplex
p. 1991-1999
The mechanism of hard excitation of self-oscillations in the case of the resonance 1:2
p. 2000-2016
Explicit Runge–Kutta methods for moderately stiff problems
p. 2017-2030
Solving parabolic equations on locally refined grids
p. 2031-2043
Approximate solutions to a nonlinear heat conduction problem
p. 2044-2051
On an inverse electrodynamic problem
p. 2052-2060
On one problem in physical kinetics
p. 2061-2069
Study of supersonic flow past segmental and conical bodies with allowance for chemical reactions
p. 2070-2076
Efficient estimation formulas for a class of recognition algorithms
p. 2077-2088

Sommaire du Fascicule no. 12

Computational algorithms for continuous wavelet transforms and their errors
p. 2091-2101
An extraproximal method for solving equilibrium programming problems and games with coupled variables
p. 2102-2111
Calculating an optimal program and an optimal control in a linear problem with a state constraint
p. 2112-2130
Control problems for stationary magnetohydrodynamic equations of a viscous heat-conducting fluid under mixed boundary conditions
p. 2131-2147
On the parametrization of numerical solutions to boundary value problems for nonlinear differential equations
p. 2148-2158
Solutions of ultrahyperbolic equations and their application in texture analysis
p. 2159-2167
Parabolic equations with an unknown time-dependent coefficient
p. 2168-2184
Difference scheme for the problem of femtosecond pulse interaction with a semiconductor in the case of nonlinear mobility
p. 2185-2196
Monotone iterative method for solving an inverse problem of sorption dynamics
p. 2197-2202
A numerical method for finding dispersion curves and guided waves of optical waveguides
p. 2203-2218
Time asymptotics of a field excited in a waveguide by a harmonic current
p. 2219-2231
Second-order accurate method with splitting of boundary conditions for solving the stationary axially symmetric Navier–Stokes problem in spherical gaps
p. 2232-2250
An analytical numerical method for the construction of solutions to boundary-value problems for the two-dimensional stationary Navier–Stokes system using complex analysis techniques
p. 2251-2259
A scheme for detonation wave computation on moving meshes
p. 2260-2282
A stochastic method for the calculation of the mean force potential in condensed media under blockade of the heat motion by a potential barrier
p. 2283-2291
In memory of Vyacheslav Vasil'evich Fedorov (1946–2004)
p. 2292-2296