Geodesic

Sommaire du Fascicule no. 1

Calculation of defects in two-dimensional tunnel arrays
p. 3-9
Construction of defining systems for finding singular solutions to nonlinear equations
p. 10-22
A priori estimate for asymptotic efficiency of one class of algorithms for polyhedral approximation of convex bodies
p. 23-32
Bifurcational indeterminacy and its proper boundary
p. 33-46
Existence of equations describing the classes of nondegenerate curvilinear coordinates in arbitrary domains
p. 47-52
$\mathbb L^p$-stimates for solutions to initial and initial-boundary value problems for a semilinear system of reaction-diffusion equations in the limit of $t\to+\infty$
p. 53-75
Generalized solutions of nonstationary boundary value problems for the Maxwell equations
p. 76-88
Effective characteristics of a three-dimensional porous medium of special structure
p. 89-100
Oscillation of a rotating body containing a liquid with a free surface
p. 101-105
Numerical analysis of $N$-wave propagation in a gas with fluctuating flow variables
p. 106-111
Computation of normal distributions on rotation groups by the Monte Carlo method
p. 112-128

Sommaire du Fascicule no. 2

Bounds for the matrix exponential based on the Lyapunov equation and limits of the Hausdorff set
p. 131-141
Construction of the polynomial of least deviation for approximations with a sign-sensitive weight
p. 142-154
Approximation properties of the inverse logical convolution in the vector maximinimax problem
p. 155-170
Initial-boundary value problems for an equation of composite type with moving boundaries
p. 171-184
On a singularly perturbed system of parabolic equations in the case of intersecting roots of the degenerate equation
p. 185-196
Bicubic finite-element implementations of methods with splitting of boundary conditions for a Stokes-type system in a strip under the periodicity condition
p. 197-221
On an approach to construct finite-difference schemes
p. 222-234
Change of grid functions of dependent variables in finite-difference equations
p. 235-248
Some metric problems in the $n$-dimensional cube
p. 249-255
An approach to compressing information in image processing and pattern recognition
p. 256-268
Comparison of two algorithms for simplifying disjunctive normal forms
p. 269-272

Sommaire du Fascicule no. 3

E. P. Zhidkov (on the occasion of his 75th birthday)
p. 275-276
The Riemann–Hilbert problem in a complicated domain for a model of magnetic reconnection in a plasma
p. 277-312
Estimates for the roots of equations with respect to the Tikhonov regularization parameter
p. 313-329
Regularization of singular systems of Volterra integral equations
p. 330-335
A method for detection of Hopf bifurcation points
p. 336-350
Equations for synthesizing currents on open surfaces
p. 351-356
A new method for deriving an unknown additive background in projection data in three-dimensional tomography
p. 357-369
Necessary and sufficient conditions for the uniqueness of a solution to a tomography problem
p. 370-379
Inverse extremal problems for stationary equations in mass transfer theory
p. 380-394
Use of dynamically adaptive grids for modeling three-dimensional unsteady gas flows with high gradients
p. 395-409
Asymptotic behavior of the solution to a linear mathematical model of a train of serially connected sorption columns
p. 410-416
Resonance scattering in quantum waveguides
p. 417-424
A deterministic method for solving the Boltzmann equation with parallel computations
p. 425-437
Evaluation of estimates for standard learning information in pattern recognition problems
p. 438-441
In memory of Vitalii Evgen'evich Yanitskii (1941–2001)
p. 442-445
Scientific Conferences at the Computing Center of the Russian Academy of Sciences
p. 446-448

Sommaire du Fascicule no. 4

A quadrature formula
p. 451-458
A numerical method for solving differential-algebraic equations
p. 459-470
Multiple self-similar string and monopole solutions to nonlinear wave equations in inflationary cosmology
p. 471-490
Boundary-layer solutions to quasilinear integro-differential equations of the second order
p. 491-503
Improving the convergence of the Lanczos method in solving algebraic saddle point problems
p. 504-513
Computation of an open matching waveguide transition using effective nonlocal boundary conditions
p. 514-521
Transparent boundary conditions for systems of equations of gas dynamics
p. 522-549
A technique for computing incompressible flows
p. 550-558
Second-order accurate numerical method for solving Boltzmann's equation at low Knudsen numbers
p. 559-568
New Monte Carlo methods for estimating time dependences in radiative transfer processes
p. 569-579
A method for solving an inverse boundary value problem in sorption dynamics with an allowance for diffusion in sorbent particles
p. 580-590
Stoyan–Yakovlev's modified method applied to convex continuation of polynomials defined on polypermutations
p. 591-596
The Butterworth wavelet transform and its implementation with the use of recursive filters
p. 597-608

Sommaire du Fascicule no. 5

On the condition of matrices that transform Hermitian pairs to diagonal form
p. 611-614
Quadrature formulas of Radau and Lobatto type connected to $s$-orthogonal polynomials
p. 615-626
Uniform asymptotic expansions of some integrals with two branching points in the neighborhood of a saddle point
p. 627-640
Convergence of the penalty function method for an unbounded solution set
p. 641-652
Minimization of a quadratic function with interval coefficients
p. 653-664
Perturbation of a differential equation with discontinuities
p. 665-675
A functional difference method for solving left-definite Sturm–Liouville problems with an eigenparameter in the boundary conditions
p. 676-689
Convergence in the optimization problem for a wing of complex geometry
p. 690-697
Algorithms for the numerical solution of quasi-gas-dynamic equations of second order accuracy
p. 698-708
Invariants of nonlinear interaction of femtosecond pulses in the presence of third-order dispersion
p. 709-717
Computation of the radiative heat flux for a reentry vehicle flying in Venus atmosphere
p. 718-728
Convex polyhedra in network optimization problems
p. 729-740
Search for informative fragments in descriptions of objects in discrete recognition procedures
p. 741-753
High-order accurate three-point difference schemes for systems of second-order ordinary differential equations with a monotone operator
p. 754-768

Sommaire du Fascicule no. 6

Bounds for the convergence rate of Newton's method for calculating invariant subspaces
p. 771-779
On certain iterative methods for solving equations of second kind
p. 780-783
Fast Vilenkin–Chrestenson transform based on Good's factorization
p. 784-790
Minimal quadrature formulas accurate for Haar polynomials
p. 791-799
Checking the sign-definiteness of forms
p. 800-814
New equilibria and techniques for finding them in ambiguous noncooperative games
p. 815-822
Grid approximation of a singularly perturbed parabolic reaction-diffusion equation with a fast-moving source
p. 823-836
Classification of unbounded solutions to a quasilinear transport equation
p. 837-848
Global solvability of pseudoparabolic nonlinear equations and blow-up of their solutions
p. 849-866
A fourth-order accurate composite grid method for solving Laplace's boundary value problems with singularities
p. 867-884
The canonical matrix of the vector Riemann–Hilbert boundary value problem and its application to boundary value problems in kinetic theory
p. 885-895
On a numerical solution of equations of a viscous gas by a third-order implicit Runge–Kutta scheme
p. 896-904
Application of the albedo shifting method to an integral equation
p. 905-912
A spectral-difference method for computing convective motions of a fluid in a porous medium, and cosymmetry preservation
p. 913-923
Test approach to the implementation of Boolean functions with few zeros by disjunctive normal forms
p. 924-928

Sommaire du Fascicule no. 7

Vladimir Georgievich Karmanov (on the occasion of his eightieth birthday)
p. 931-932
Convergence rate of iterative regularization algorithms for linear problems with convex constraints
p. 933-936
A method for approximate analysis of a linear evolutionary equation in a Hilbert space
p. 937-950
A logical justification of the Edgeworth–Pareto principle
p. 951-957
A method for solving variational inequalities defined by monotone mappings
p. 958-968
Optimal control of nonlinear systems
p. 969-995
On a nonlinear selfadjoint spectral problem for some differential-algebraic equations of index $1$
p. 996-1012
Diagonally implicit Runge–Kutta methods
p. 1013-1018
Symmetric compact schemes with artificial viscosities of increased order of divergence
p. 1019-1038
Global solvability of an initial-boundary value problem for a system of semilinear equations
p. 1039-1050
Solution of the vector problem of the natural waves of cylindrical dielectric waveguides based on a nonlocal boundary condition
p. 1051-1066
Integral equations with logarithmic singularities in kernels of two-dimensional problems for anisotropic bodies with defects
p. 1067-1079
A general mathematical model of chemical reaction in a granular catalyst layer
p. 1080-1093
Transfer of a gaseous pollutant by air flow over a region containing vegetation
p. 1094-1104

Sommaire du Fascicule no. 8

Unitary similarity of normal matrices from the viewpoint of Specht's criterion
p. 1107-1108
Extension of the convergence domain in the Tikhonov method
p. 1109-1114
Stable finite-dimensional iterative processes for solving nonlinear ill-posed operator equations
p. 1115-1128
On a type of Hausdorff discontinuity of convex polynomial mappings
p. 1129-1137
A variational technique for estimating derivates of empirical functions
p. 1138-1143
The best trajectory in the navigation problem over a geophysical field
p. 1144-1150
On sufficient optimality conditions for a mathematical programming problem
p. 1151-1157
Regularization methods, based on the extension of a set, for solving an equilibrium programming problem with inexact input data
p. 1158-1165
Numerical algorithm for a linear time-optimal control problem
p. 1166-1178
Fifth-order four-stage method for numerical integration of special systems
p. 1179-1190
Nonexistence of global solutions to parabolic porous-medium equations
p. 1191-1199
Energy estimate of the solution to a nonlinear pseudoparabolic equation at $t\to\infty$
p. 1200-1206
Solving the torsion problem for an $L$-section rod by the block method
p. 1207-1216
Computational schemes for the problem of acoustic excitation of an axially symmetric domain with a two-component boundary through a hole on the boundary
p. 1217-1235
Parametric instability of an interface of a viscous two-layer fluid
p. 1236-1245
Relations between derivatives across a shock discontinuity
p. 1246-1257
A method for solving Boltzmann's equation for a gas mixture in the case of cylindrical symmetry in the velocity space
p. 1258-1269
A brief description of the scientific works of Professor Viktor Pavlovich Cherenin
p. 1270-1280

Sommaire du Fascicule no. 9

The relationships between the methods of Hermite, Schur and Lyapunov in the stability theory of polynomials
p. 1283-1289
The closeness of certain classes of matrices with respect to pseudo-inversion
p. 1290-1294
Regularized proximal algorithms for nonlinear equations of monotone type in a Banach space
p. 1295-1303
New extremum conditions for smooth problems with inequality constraints
p. 1304-1315
On a quadratic problem of convex maximization
p. 1316-1323
The dual approach to one class of mixed variational inequalities
p. 1324-1337
A global optimization technique with an adaptive order of checking for
p. 1338-1350
Conjugate adaptive algorithms for polyhedral approximation of convex bodies
p. 1351-1367
Monotone finite-difference schemes on triangular grids for convection-diffusion problems
p. 1368-1382
Finite-difference scheme for singularly perturbed boundary value problems associated with solutions to spherically symmetric elliptic equations
p. 1383-1393
Determination of a reactivity based on the inverse point kinetics equation
p. 1394-1398
A numerical method for simulation of non-hydrostatic three-dimensional flow
p. 1399-1404
A three-parameter method for solving the Navier–Stokes equations
p. 1405-1412
A new marching method for computing jets of combustion products
p. 1413-1424
Recognition algorithms with representative sets (logic algorithms)
p. 1425-1435
A numerical method for training artificial neural networks with delay
p. 1436-1444
Packing algorithms for orthoblocks in $E^3$
p. 1445-1455
Correction to: “Bifurcational indeterminacy and its proper boundary”

Sommaire du Fascicule no. 10

The Frobenius formula and Sherman–Morrison formulas and related matters
p. 1459-1465
An algorithm for computing the regularization parameter in the coupled pseudo-inversion problem
p. 1466-1474
Minimization of the total momentum of control drive on the trajectories of linear singularly perturbed systems
p. 1475-1486
Multicriteria two-person games with opposite interests
p. 1487-1502
Pointwise and weighted a priori estimates of solutions and their difference relations for singularly perturbed monotone three-point difference schemes
p. 1503-1519
On the properties of stability boundaries of two-dimensional difference schemes
p. 1520-1530
Parallel versions of the alternating triangular method for solving three-dimensional elliptic equations
p. 1531-1541
Reconstruction of the interface between media on the ground of tomography data
p. 1542-1555
Numerical solution of inverse problems in the theory of the synthesis of radiating systems based on a given power directional diagram
p. 1556-1570
Internal gravity waves in a medium with nonexponential density stratification
p. 1571-1583
The Godunov-type difference scheme for equations of relativistic magnetohydrodynamics
p. 1584-1599
Asymptotic behavior of the solution of the convective diffusion problem with volumetric chemical reaction
p. 1600-1608
A game against nature associated with majority-vote decision making
p. 1609-1616

Sommaire du Fascicule no. 11

Calculation of bounds for the spectrum of a symmetric matrix
p. 1619-1623
Reduction to the principal axes by means of pseudo-unitary and symplectic transformations
p. 1624-1626
Construction of sequences of the rank $1$ lattice cubature formulas that are exact on trigonometric polynomials
p. 1627-1635
A congruence operator in the modeling of continuous distributions
p. 1636-1645
A regularized continuous projection method for constrained minimization problems
p. 1646-1656
Synthesis of rational information exchange procedures in hierarchical two person games
p. 1657-1665
On the regularization of degenerate integrodifferential equations
p. 1666-1672
Unique solvability of a boundary value problem with data on the characteristics for systems of hyperbolic equations
p. 1673-1685
System of singularly perturbed equations in the case of intersecting roots of a degenerate system
p. 1686-1699
On the formulation of the Cauchy problem for the Schrödinger equation that degenerates on a half-space
p. 1700-1711
Integro-interpolation schemes of a given order and other applications of the multioperator principle
p. 1712-1726
Formation of large-scale structures in the gap between rotating cylinders (the Rayleigh–Zel'dovich problem)
p. 1727-1737
A transonic equation describing the propagation of three-dimensional solitons in a boundary layer
p. 1738-1743
The structure of an unsteady transonic flow around a flat plate with transverse slot injection
p. 1744-1755
Comparative analysis of the second order accurate finite element approximation for the Stokes problem
p. 1756-1760

Sommaire du Fascicule no. 12

On the application of Craig's method to the solution of linear equations with inexact initial conditions
p. 1763-1770
A linear-time algorithm for verifying the copositivity of an acyclic matrix
p. 1771-1773
A posteriori error estimates for approximate solutions to boundary problem of elliptic equations
p. 1774-1787
Blow-up of a solution of a pseudoparabolic equation with the time derivative of a nonlinear elliptic operator
p. 1788-1795
Numerical solution to initial-boundary value problem for composite equations in unbounded domain
p. 1796-1803
Resonance scattering in a waveguide with filling
p. 1804-1809
Application of the Fourier–Gauss transform to solution of Cauchy problem of the Schrödinger equation
p. 1810-1815
Resonance in a waveguide with an inhomogeneous filling
p. 1816-1830
Invariants of nonlinear propagation of femtosecond laser pulses through a medium with non-stationary response
p. 1831-1835
An adaptive algorithm for computing a function on the Lipschitzian boundary of a three-dimensional body from a given gradient, and its application in magnetostatics
p. 1836-1851
Modeling of axial channeling of ultra-relativistic charged particles in a bent single crystal
p. 1852-1863
Three-dimensional laminar streamlining of axially symmetric bodies by supersonic gas flow
p. 1864-1874
A three-dimensional problem of gas lubrication theory and its solution by method of matched asymptotic expansions
p. 1875-1880
Interactive mesh adaptation in computations of viscous gas flow
p. 1881-1890
Effective dimension of a phase trajectory in the visualization of dynamical systems
p. 1891-1898
Construction of disjunctive normal forms in algorithms of pattern recognition
p. 1899-1907
Some properties of fuzzy classifications
p. 1908-1913