Geodesic

Sommaire du Fascicule no. 1

A survey of methods for constructing structured adaptive grids
p. 3-41
An algorithm for computing the rank and signature of a Hermitian block-tridiagonal matrix
p. 42-51
Optimization of systems with multidimensional controls according to criteria that are invariant with respect to some of the control actions
p. 52-65
A general approach to the study of the stability of solutions in discrete optimization problems
p. 66-72
Radiation principles for higher-order elliptic equations in a tube domain
p. 73-91
Asymptotic expansion of the solutions of a singularly perturbed Dirichlet problem
p. 92-102
A computational method for studying the process of the self-focusing of x-rays in a plasma
p. 103-111
Numerical investigation of the recondensation problem for a rarefied gas mixture in a spherically symmetric force field
p. 112-121
$W$-modification of S. K. Godunov's method and its application to two-dimensional unsteady flows of a dusty gas
p. 122-135
The second initial-boundary value problem for an equation of gravitational-gyroscopic waves
p. 136-148
Self-consistent approximation in the difference schemes of S. K. Godunov type for solving 1-D gas dynamics
p. 149-150
On one algorithm of constructing cross-cuts and quadrangular nets in domains on a plane
p. 151-154

Sommaire du Fascicule no. 2

A criterion for the normality of a complex Toeplitz matrix
p. 3-10
A modified minimum residue algorithm
p. 11-17
Digital spectral analysis in the algebra of formal polynomials, and its application
p. 18-41
Locally one-dimensional difference schemes for singularly perturbed parabolic equations
p. 42-61
The monotone regularization method for a class of nonlinear integral equations
p. 62-74
On a Stokes-type problem with a parameter
p. 75-86
On quasi-averaged equations of the one-dimensional motion of a viscous barotropic medium with rapidly oscillating data
p. 87-110
On a two-dimensional equation of gravity-gyroscopic waves
p. 111-118
Natural oscillations of a viscous continuously stratified fluid in a closed vessel
p. 119-125
On a finite-difference scheme for the numerical solution of parabolized Navier–Stokes equations
p. 126-137
Parallel algorithms for the solution of the Boltzmann kinetic equation
p. 138-146
On unsteady axisymmetric flows in pipes with elastic walls
p. 147-163
A fast algorithm for computing the inverse convolution for signal and image reconstruction
p. 164-175

Sommaire du Fascicule no. 3

A canonical form for projectors under unitary similarity
p. 3-5
A method for obtaining an initial approximation for Newton's method
p. 6-14
The solution of operator equations with incomplete information
p. 15-27
A representation of the reproducing kernel of a sphere
p. 28-34
A regularized continuous linearization method for minimization problems with inexact initial data
p. 35-43
Vector additive difference schemes for first-order evolution equations
p. 44-51
The existence and properties of self-similar solutions of the Cauchy problem for equations of gas dynamics
p. 52-65
Explicit form of the wave solutions of evolution equations
p. 66-72
Grid approximation of parabolic equations with singular initial conditions
p. 73-92
A two-step variant of a scheme for solving the two-dimensional heat equation with highly variable coefficients
p. 93-100
Almost orthogonalization in the finite element method
p. 101-108
An estimate for the boundaries of the spectrum of a difference operator for problems in quasistationary electrodynamics
p. 109-116
A numerical method for solving Euler equations with preservation of approximation on a deformable grid
p. 117-129
A modification of the gas dynamic scheme SHASTA
p. 130-134
Modification of nonreflecting boundary conditions in gas dynamic modeling in astrophysics
p. 135-146
On the stability of the Voronoĭ diagram
p. 147-158
Solutions of the system of Hamilton difference equations with external action
p. 159-160

Sommaire du Fascicule no. 4

G. I. Marchuk (on the occasion of his seventieth birthday)
p. 3-4
Cubature formulas of higher orders of accuracy for a sphere that are invariant with respect to a tetrahedron group
p. 5-9
On Lagrange methods for finding degenerate solutions of constrained extremum problems
p. 10-17
A two-step linearization method for minimization problems
p. 18-25
Flux correction in multidimensional problems of hyperbolic and parabolic types
p. 26-40
Potentials for general linear systems of difference equations on abstract grids
p. 41-49
Stability of locally implicit difference schemes for the two-dimensional heat equation
p. 50-61
Examples of numerical solutions of the stable Kadomtsev–Petviashvili equation with sources
p. 62-70
Difference schemes with fifth-order compact approximations for three-dimensional viscous gas flows
p. 71-85
An inverse problem of selecting a linearization coefficient for Navier–Stokes equations on the basis of integral overdetermination
p. 86-96
A two-dimensional nonnegative algorithm for computing fluid flows in open channels
p. 97-105
Approximation properties of the method of particles in cells
p. 106-113
Unsteady reflection of a shock wave by a wedge for the Boltzmann equation
p. 114-123
A modification of Godunov's finite difference scheme on s mobile grid
p. 124-133
An algorithm for approximating polyhedra
p. 134-147
The additive problem of optimal covering
p. 148-155
Constructing conservative difference schemes for problems of classical mechanics
p. 156-157
Научная конференция, посвященная 85-летию со дня рождения академика А. А. Дородницына
p. 158-159

Sommaire du Fascicule no. 5

Aleksandr Aleksandrovich Abramov (on the occasion of his seventieth birthday)
p. 3-5
On a spectral property of the product of two rectangular matrices
p. 6-8
A two-step regularized linearization method for solving minimization problems
p. 9-19
On higher-order methods for finding singular solutions of nonlinear operator equations
p. 20-29
An approximately optimal algorithm for searching for an extremum for a class of functions
p. 30-39
A general approach to the determination of stationary points and the solution of related problems
p. 40-50
The method of nonuniform coverings in discrete optimization problems of a special type
p. 51-61
On a logical convolution of a criterion vector in the Pareto set approximation problem
p. 62-74
On a contrast structure of step type for a system of two second-order singularly perturbed equations
p. 75-89
Asymptotically fast approximate methods for solving the Laplace difference equation in a cube
p. 90-97
A special method for calculating the matrices of difference schemes for one-dimensional integral equations
p. 98-107
The eigenvectors of a magnetostatic operator in the case of a spheroid
p. 108-113
Nonlocal solvability of a one-dimensional mathematical model of viscoelasticity
p. 114-125
A method of modelling the development of sedimentary basins
p. 126-136
Cellular automata for some gas dynamic processes
p. 137-145
Description and generation of all minimal colorings of an interval graph, and the solution of related problems
p. 146-152
Inner estimation of a convex set by a norm body
p. 153-159

Sommaire du Fascicule no. 6

Erratum: “Digital spectral analysis in the algebra of formal polynomials, and its application”
Yuriĭ Dmitrievich Shmyglevskiĭ (on the occasion of his seventieth birthday)
p. 3-4
Parallel methods for generalized Toeplitz systems
p. 5-19
Rational solvability of the inverse Silva problem
p. 20-27
Iterative methods for computing a weighted pseudo-inverse matrix
p. 28-39
The efficiency of discrete sine and cosine transforms of random sequences
p. 40-50
On a method for computing the values of derivatives in the minimization of multi-extremal functions
p. 51-67
Asymptotic behavior of the solution of the heat equation with a nonlinear heat source in a thin rod
p. 68-85
On the monotonicity of the solution of a mixed problem for a quasilinear heat equation with a discontinuous coefficient
p. 86-94
Uniqueness of the solution of the inverse problem for the stationary heat equation
p. 95-100
On the numerical solution of boundary integral equations of the second kind in domains with corner points
p. 101-113
Formulation and solution of a problem in the theory of nonlinear oscillations
p. 114-122
On the uniqueness of the solution of an inverse problem of nonequilibrium sorption dynamics
p. 123-137
An implicit relaxation method for computing steady two-dimensional flows of spontaneously condensing steam
p. 138-151
A parallel algorithm and computer architecture for calculating an inertia matrix
p. 152-158
Дифференцирование функций с финитным спектром на неравномерной сетке интерполяции
p. 159-160

Sommaire du Fascicule no. 7

On Hankel matrices that commute with tridiagonal matrices
p. 3-10
On a method for estimating unremovable error
p. 11-14
On a local regularization of some classes of nonlinear operator
p. 15-29
Dual barrier-projection and barrier-Newton methods for linear programming problems
p. 30-45
On a difference eigenvalue problem
p. 46-53
Numerical solution of integral equations with a one-parameter semigroup of symmetries
p. 54-76
On the perturbation of the Laplacian spectrum when the boundary condition type changes on a small part of the boundary
p. 77-88
Investigation of finite-difference schemes for a modified Korteweg–de Vries equation
p. 89-108
A method for the numerical solution of three-dimensional polaron equations
p. 109-118
A method of stochastic dynamics in the Wigner formulation of quantum mechanics
p. 119-134
Wave diffraction in a locally inhomogeneous medium
p. 135-149
Acceleration of the convergence of the method of global iterations for the solution of simplified Navier–Stokes equations
p. 150-160
On the solvability in the large of the Cauchy problem for a system of equations of gas dynamics that describes three-dimensional barotropic flow
p. 161-173
A fast solver for the clamped plate problem in a rectangle based on a boundary potentials method
p. 174-190

Sommaire du Fascicule no. 8

Oleg Mikhaĭlovich Belotserkovskiĭ (on the occasion of his seventieth birthday)
p. 3-5
Relative factorization of polynomials of several variables
p. 6-11
A method of recognizing a regular eigenvalue
p. 12-14
The discretization of ill-posed problems
p. 15-22
Discrete-stochastic procedures for the global estimation of an integral which depends on a parameter
p. 23-38
Quadrature formulae for evaluating singular integrals of oscillating functions
p. 39-44
On a singular boundary-value problem for linear Hamiltonian systems of ordinary differential equations
p. 45-56
Special functions which occur in the theory of nonlinear oscillations
p. 57-72
Convergence theorems for iterative Runge–Kutta methods with a constant integration step
p. 73-89
A CAS REDUCE investigation of the stability of Rusanov's scheme with conditions at domain joints
p. 90-100
A study of difference schemes with the first derivative approximated by a central difference ratio
p. 101-117
Numerical investigation of the stability of two-layer difference schemes for the two-dimensional heat-conduction equation
p. 118-126
The mixed problem for the Helmholtz equation in a multiply connected region
p. 127-137
A method of solving problems of the diffraction of electromagnetic waves by a three-dimensional dielectric solid
p. 138-157
Numerical investigation of supersonic flow around blunt bodies in the model of a viscous shock layer
p. 158-168
The axisymmetric nonlinear steady flow of a rarefied gas in a pipe of circular cross-section
p. 169-179
Calculation of local characteristics of a liquid with gas bubbles
p. 180-194
The interaction of a shock wave with a sonic line
p. 195-204
A modification of the method of alternating directions for calculating axisymmetric unsteady transonic flows
p. 205-214
Algebraic-logic synthesis of correct recognition procedures based on elementary algorithms
p. 215-223

Sommaire du Fascicule no. 9

Evgeniĭ Alekseevich Volkov (on the occasion of his seventieth birthday)
p. 3-5
Linear approximation of the solutions of nonlinear operator equations
p. 6-12
Regularization when there is considerable interference
p. 13-21
Stable methods for finding 2-regular solutions of nonlinear operator equations
p. 22-34
Functions of several variables with bounded variation in ill-posed problems
p. 35-49
Mixed global and local search methods as optimization algorithms
p. 50-59
Algorithms for the multicriterial comparison of versions of the solution where the criteria are ranked in importance
p. 60-70
The solution of Cauchy's problem for a system of second-order linear differential equations, unsolvable for the highest derivative
p. 71-82
Approximation of the solutions and diffusion flows of singularly perturbed boundary-value problems with discontinuous initial conditions
p. 83-104
An internal transition layer in a singularly perturbed initial-value problem
p. 105-111
Nonlinear waves in a stratified liquid which are independent of the vertical coordinate
p. 112-119
Radiation effects in the intense interaction of a cloud of interplanetary dust and the Earth's atmosphere
p. 120-133
The use of transonic slender-body theory to calculate the spatial flow over a wing–fuselage configuration
p. 134-154
A monotone difference scheme of increased accuracy for the computer simulation of wave processes
p. 155-158
The method of characteristics and semi-characteristic variables in problems of profiling supersonic parts of axisymmetric and plane nozzles
p. 159-160
The numerical realization of a variational inequality in the dynamics of elastoplastic bodies
p. 177-191

Sommaire du Fascicule no. 10

Adelaida Borisovna Vasil'eva (on the occasion of her seventieth birthday)
p. 3-4
Cubature formulae of high trigonometric accuracy for periodic functions of four variables
p. 5-11
The convergence of finite-dimensional approximations in the problem of the optimal one-dimensional heating taking phase constraints into account
p. 12-22
A computational investigation of linear parametrization of criteria in multicriteria discrete programming
p. 23-25
A rapidly convergent iterative domain-decomposition method for boundary-value problems for a second-order elliptic equation with a parameter
p. 26-45
Cross-type projection-grid analogues of the Laplace operator
p. 46-55
A boundary-value problem for a quasilinear singularly perturbed parabolic equation in a rectangle
p. 56-72
Unbounded solutions of the nonlinear heat-conduction equation with strong convection at infinity
p. 73-86
The decomposition method for solving elliptic problems in a three-dimensional domain
p. 87-96
Slow motions in the combustion problem in the case of an autocatalytic reaction
p. 97-102
The instability of longshore currents in the breaker zone
p. 103-110
An estimate of the error of quasi-averaging of the equations of motion of a viscous barotropic medium with rapidly oscillating data
p. 111-128
The two-scale model and other method for the approximate solution of the
p. 129-145
A method of increasing the order of the weak approximation of the laws of conservation on discontinuous solutions
p. 146-157
A modified large-particle method for calculating unsteady gas flows in a porous medium
p. 158-164
The influence of permeable boundaries on transonic flow past an airfoil
p. 165-179
The solvability of an external initial and boundary-value problem for the ion-acoustic wave equation
p. 180-189
A variational approach to the construction of the asymptotic solution in the problem of the harmonic oscillations of a liquid
p. 190-191

Sommaire du Fascicule no. 11

Yuriĭ Sergeevich Osipov (on the occasion of his sixtieth birthday)
p. 3-4
The simple Lanczos procedure: Estimates of the error of the Gauss quadrature formula and their applications
p. 5-19
The construction of finitely represented Lie algebras
p. 20-34
Approximation by local two-dimensional splines of smoothness $C$
p. 35-43
Numerical inversion of integral Wiener-Hopf operators with a causative operator kernel in multidimensional inverse problems of unsteady heat conduction
p. 44-72
An analogue of Pontryagin's maximum principle in systems with neutral-type delay
p. 73-79
On certain special functions that arise in the solution of ordinary differential equations by asymptotic methods
p. 80-102
The investigation of certain properties of the self-conjugate eigenvalue problem
p. 103-107
The rate of convergence on a piecewise-uniform grid of a difference scheme for the parabolic equation
p. 108-114
The use of a high-accuracy numerical scheme to model two-phase flow through a porous medium
p. 115-125
Two-dimensional Doppler tomography
p. 126-133
The use of transonic slender-body theory to calculate the spatial flow over a wing-fuselage configuration
p. 134-142
An averaging technique for the discretization of the kinetic integro-differential equation
p. 143-161
New uniqueness classes for determining the parameters of a stratified medium from its energy reflectance
p. 162-172
A method of calculating the nonlinear filtration equation for which the solution satisfies bilateral estimates
p. 173-175

Sommaire du Fascicule no. 12

Algorithms of isogeometric approximation by generalized cubic splines
p. 3-22
A non-classical version of the boundary conditions for a cubic vector spline
p. 23-27
Computing integrals of discontinuous functions by the method of dependent tests
p. 28-38
The search for a fixed point of a consistently monotone mapping
p. 39-47
Four-parameter two-step projection minimization methods
p. 48-56
The computation of boundary flow with uniform accuracy with respect to a small parameter
p. 57-63
An estimate of the residual term in the asymptotic form of the solution of a boundary-value problem
p. 64-67
A difference method for solving parabolic equations of any order
p. 68-72
The effective properties of structures and composites with inclusions in the form of walls and rods
p. 73-79
Correction for the influence of the walls of a transonic wind tunnel
p. 80-90
The use of fully implicit monotone schemes to model plane internal flows
p. 91-107
The solvability of the equations for a model of gas transfer through membranes with dynamic boundary conditions
p. 108-120
Calculation of the electron distribution function of a semiconductor plasma in an electric field
p. 121-134
Calculation of plane flows of a rarefied gas at low Knudsen numbers
p. 135-150
The development of wave packets in a boundary layer on a bumpy surface
p. 151-160
Letter to the editor: Concerning some publications on internal point methods
p. 161-162
Vladislav Kliment'evich Saul'ev (1924–1996)
p. 163-164