Geodesic

Sommaire du Fascicule no. 1

Normal band matrices
p. 3-6
Iterative regularization method with a proximal operator
p. 7-10
The non-Sibsonian interpolation: A new method of interpolation of the value of a function on an arbitrary set of points
p. 11-17
Calculation of directional derivatives in max-min problems
p. 18-22
Suboptimal control of distributed-parameter systems: Minimizing sequences and the value function
p. 23-41
Calculation of fixed points of extremal mappings by gradient-type methods
p. 42-53
Algorithm for optimal distribution of discrete nonuniform resources on a network
p. 54-60
Linear spaces for index 2 differential-algebraic equations
p. 61-68
Triviality of a variable-timestep difference scheme for the heat equation
p. 69-73
Contrast structures for a system of singularly perturbed equations
p. 74-84
Transformation of the Abel integral equation with nonsmooth data into an integral equation of the second kind
p. 85-106
A method of calculation of self-consistent atomic potentials for a multicomponent mixture in the relativistic Hartree–Fock–Slater approximation
p. 107-116
The first initial-boundary value problem for the gravity-inertia wave equation in a multiply connected domain
p. 117-128

Sommaire du Fascicule no. 2

Improvement of Frobenius bounds for the Perron root of a non-negative matrix
p. 131-138
Regularization of ill-posed problems with normally resolvable operators
p. 139-144
Methods for solving nonlinear operator equations with singular Fredholm derivatives
p. 145-152
An optimal control problem with a mixed cost functional
p. 153-161
Suboptimal control of distributed parameter systems: Normality properties and dual subgradient method
p. 162-178
A modification of a method for a class of problems in integer programming
p. 179-183
An algorithm for solving an initial boundary value problem for a mixed-type equation with delayed argument
p. 184-187
Stability of difference schemes for convection–diffusion problems
p. 188-192
Uniform asymptotics of a solution to a singularly perturbed parabolic equation with the angular characteristic of the degenerate equation
p. 193-201
An exact numerical method for solving the Stokes-type factorized problem
p. 202-213
The spectrum of a quasi-two-dimensional system in a parallel magnetic field
p. 214-222
A projective-iterative scheme for determining the amplitudes of discrete sources on the basis of dissipative matrices
p. 223-229
Application of variational principles to the calculation of the slip coefficient of gas
p. 230-238
Numerical solution of the Boltzmann and Navier–Stokes equations for a planar jet impinging on a cooled surface
p. 239-242
Irredundant test for binary tables
p. 243-249
An algorithm of local search for a class of problems of integer linear programming
p. 250-256

Sommaire du Fascicule no. 3

Bounds for elements of $LU$ factorizations of sparse matrices and their application to incomplete factorization methods
p. 259-276
A fast algorithm based on the arithmetic-geometric mean
p. 277-290
Reconstruction of extremal perturbations in parabolic equations
p. 291-301
Application of compact finite-difference schemes to the initial boundary value problem for a hyperbolic system of equations
p. 302-309
An approximate solution to nonlinear integral equations by the method of
p. 310-314
Calculation of the minimal embedding dimension of a chaotic attractor on the basis of local topological analysis of phase trajectories
p. 315-324
A family of approximate solutions to the MHD Riemann problem retaining the shock relations
p. 325-333
Numerical methods for the two-dimensional model of propagation of laser radiation in a chemically active gas in well-developed thermal diffusion
p. 334-347
An iterative scheme for two-dimensional MHD equations with account for the Hall effect
p. 348-354
Solvability of the altimeter data assimilation problem in the quasi-geostrophic multilayer model of ocean circulation
p. 355-366
A global existence and uniqueness theorem for the three-dimensional Broadwall model
p. 367-377
Grid approximation of a singularly perturbed Neumann problem for parabolic equations in the case of a discontinuous boundary function
p. 378-381
Computer program library
Yuriĭ Georgievich Dadaev (1937–1996)
p. 383-384

Sommaire du Fascicule no. 4

An algorithm for the construction of a nonnegative cubic spline
p. 387-394
A special class of harmonic and biharmonic functions adapted for solving boundary value problems of mathematical physics on a spheroid
p. 395-403
On the weak convergence of the method of penalty functions with respect to argument
p. 404-414
Spikelike contrast structures in the parabolic system of two singularly perturbed equations
p. 415-428
Singularly perturbed boundary value problems with concentrated sources and discontinuous initial conditions
p. 429-446
Multiple factorization of convolution-type integral operators
p. 447-458
Linearization of the diffraction tomography problem through construction of a scattering matrix
p. 459-463
The regular components of asymptotic approximations of solution to the
p. 464-482
The Kramers problem for the ellipsoidal-statistical Boltzmann equation with frequency proportional to the velocity of molecules
p. 483-493
Construction of optimal multidiagonal methods for solving
p. 494-498
An analytical-numerical method for modeling time-dependent wave fields in layered media
p. 499-504
The use of the continuation method for constructing self-similar solutions for Langmuir wave collapses
p. 505-512

Sommaire du Fascicule no. 5

Asymptotic complexity of the collisions estimator for solving linear systems
p. 515-523
On a construction of an extension of an abstract, purely pulse control problem
p. 524-532
Numerical solution of domain-optimization problems for a class of elliptic systems
p. 533-542
Numerical determination of a boundary condition near a singularity
p. 543-552
Application of the equation-decomposition method to problems in the theory of bending of variable-thickness plates
p. 553-558
Generators of new iterated methods for nonlinear equations with a small parameter
p. 559-565
A method for solving selfadjoint multiparameter spectral problems for weakly coupled sets of ordinary differential equations
p. 566-571
An adaptiv grid-projection method for elliptic problems
p. 572-586
On a sufficient condition for the existence of a stationary solution of the Fokker–Planck equation
p. 587-598
New types of wave solutions to the general nonlinear Klein–Gordon equation
p. 599-604
Solution of the initial boundary value problem for the relativistic string with massive ends
p. 605-616
On the solvability of an initial-boundary value problem for the internal-wave equation
p. 617-620
A variant of the multigrid method for solving gas dynamics problems
p. 621-629
Selection of moving objects by a three-layer cellular neural network
p. 630-636
Weak finite difference approximation of a divergence differential operator of arbitrary order
p. 637-640

Sommaire du Fascicule no. 6

Methods of adaptive harmonic grid generation
p. 643-662
The convergence rate of an iterative projection method
p. 663-669
New properties of the Chebyshev polynomials and their applications in variational methods
p. 670-678
One approach to the two-stage problem with strict constraints in nonlinear programming
p. 679-690
Analysis of the discounting coefficient in a gas-field model
p. 691-698
$L$-decremented ROW method of third-order accuracy
p. 699-710
Solution of differential-algebraic equations with the choice of the best argument
p. 711-722
Inverse problem of predicting an inhomogeneous medium via vertical seismic profiling data
p. 723-732
Numerical simulation of heat and mass transfer combined with phase transition in geodynamics
p. 733-741
Effect of discretization in calculating three-dimensional problems of high-velocity impact by the finite element method
p. 742-750
Simulation of confined separated flows in chemical nonequilibrium
p. 751-758
An implicit relaxation method for computation of three-dimensional
p. 759-768

Sommaire du Fascicule no. 7

Approximate global minimization of nonconvex functions that are close to convex
p. 771-784
Properties of the solutions to the task of routing in the network with virtual circuits
p. 785-793
Analytical solution of the radiation-transfer problem in a periodic medium
p. 794-798
Algorithms based on bilinear finite elements for iterative methods with split boundary conditions for a Stokes-type system in a strip under the periodicity condition
p. 799-815
Algorithms for solving a problem of data assimilation
p. 816-827
On the Newton principle for the Helmholtz equation
p. 828-840
Exact solutions to a steady-state radiation-transfer equation in one-dimensional planar and spherical geometries
p. 841-861
Numerical simulation of the global distribution of electric potential over the Earth's ionosphere
p. 862-868
New methods in the dynamic linear theory of open waveguide resonators
p. 869-877
Heat propagation in a planar zero-momentum turbulent wake
p. 878-886
Flow separation and the nonuniqueness of solutions to axisymmetric boundary-layer equations
p. 887-894
A choice of the regularization parameter in solving convex extremal problems
p. 895-896

Sommaire du Fascicule no. 8

Parallel implicit methods of alternating directions
p. 899-907
Attractors of iterative processors in the presence of noises
p. 908-913
Modified procedures of iterative prox-regularization
p. 914-924
The method of dynamic programming and internal parallels for approximate solution of the Dirichlet problem
p. 925-932
The linear convolution of criteria in the bicriteria traveling salesman problem
p. 933-936
A fixed-tolerance problem
p. 937-944
Error estimation for a numerical solution to a boundary value problem with a boundary layer
p. 945-950
An analysis of a difference scheme approximating a third boundary-value problem for a second-order nonlinear differential equation
p. 951-957
The asymptotic behavior of solutions to linearized Navier–Stokes equations
p. 958-967
Oscillation of a two-sided line segment in a stratified fluid
p. 968-974
An integral representation of solutions to the Klein–Gordon equation
p. 975-978
An inverse problem for a discrete Dirac system
p. 979-987
The KARMA-1 program complex for solving time-dependent problems of crystal growth in ampoules
p. 988-998
Chaotic attractors of a boundary value problem in the mechanics of elastic systems
p. 999-1005
A Godunov-type method based on an exact solution to the Riemann problem for the shallow-water equations
p. 1006-1019
Conservative splitting of the energy equation in the cross-type finite difference schemes for the Lagrangian gas dynamics
p. 1020-1023
Correction to: “Transformation of an Abel-type integral equation with nonsmooth data to an integral equation of the second kind”
Correction to: “Computation of rapidly oscillating eigenfunctions of the continuous spectrum and their improper integrals”

Sommaire du Fascicule no. 9

On the 80th birthday of Nikita Nikolaevich Moiseev
p. 1027-1028
Evenness of the Jordan structure of block quaternions with real spectra and its computational consequences
p. 1029-1033
Interpolation, approximation and differentiation in the class of functions with compactly supported spectra
p. 1034-1042
A cubature formula of the ninth degree of accuracy for a hypercube
p. 1043-1047
A balance method for solving matrix games with constraints
p. 1048-1055
Error estimate for a regularization method in problems of the reconstruction of inputs of dynamic systems
p. 1056-1067
One property of multistep difference methods for ordinary differential equations
p. 1068-1077
Iterative method for initial-data reconstruction in singularly perturbed evolutionary problems
p. 1078-1086
The asymptotic behavior of the solution to a parabolic equation with singularly perturbed boundary conditions
p. 1087-1093
Global solvability of the Cauchy problem for a system of equations in the nonlinear theory of elasticity
p. 1094-1104
The method of generations for estimating the first eigenvalue of the Neumann problem
p. 1105-1111
Unsteady waves in a stratified fluid excited by the variation of the normal velocity component on a line segment
p. 1112-1121
Numerical simulation of separated flow past a sphere
p. 1122-1137
Finite-difference analysis of the MHD Stokes problem for convective flow past a vertical infinite plate in a rotating fluid with Hall currents
p. 1138-1142
Boundary conditions of radiative heat transfer for monocrystal growth in ampoules. I. Opaque ampoule
p. 1143-1152

Sommaire du Fascicule no. 10

On the 60th birthday of Andrei Igorevich Tolstykh
p. 1155-1156
Methods for finding singular solutions of nonlinear operator equations in the absence of 2-regularity
p. 1157-1162
Decision-making problems in two-person games with aggregate information
p. 1163-1173
A second-order continuous gradient-projection method with a variable metric
p. 1174-1182
Modification of the phase method for singular selfadjoint Sturm–Liouville problems
p. 1183-1200
Convergence of finite-difference schemes behind a shock front
p. 1201-1212
On the uniform in small parameter convergence of a weighted scheme for the one-dimensional time-dependent convection–diffusion equation
p. 1213-1220
Application of the multipole method in the calculation of an electric field in a laser of special design
p. 1221-1236
Calculation of the maximum hypersonic fineness ratio and optimal configuration of short-span wings with laminar and turbulent boundary layers
p. 1237-1245
The problem of scattering from bodies with a noncommutative finite group of symmetries and its numerical solution
p. 1246-1262
Impact of a slender torus on the surface of an ideal fluid of infinite depth
p. 1263-1268
Application of unstructured grids for computing a viscous flow around multi-element airfoils
p. 1269-1280

Sommaire du Fascicule no. 11

Iterative solution of strongly nonsymmetric systems of linear algebraic equations
p. 1283-1293
Renumbering strategies based on multi-level techniques combined with ILU-decompositions
p. 1294-1300
Accurate estimates for the speed of convergence of $s$-step iterative methods of variational type in a Hilbert space
p. 1301-1310
The finite-element method for symmetric nonlinear eigenvalue problems
p. 1311-1318
Approximation of multi-valued mappings
p. 1319-1326
Equilibrium programming: Proximal methods
p. 1327-1339
Refinement of approximate solutions to a boundary-value problem on a half-line
p. 1340-1344
Nonsingular problems in relativistic cosmology. I. The Higgs field in the Minkowski and Friedmann spaces
p. 1345-1361
The dragon's tail
p. 1362-1369
A method for computing radiation transfer based on equations averaged over the spectrum
p. 1370-1375
A modified Courant-Isaacson-Rees method for gas dynamics with an arbitrary equation of state
p. 1376-1383
Boundary conditions for radiative heat transfer in monocrystal growth in processes in ampules. II. A semitransparent quartz ampule, Bridgman's method, and the traveling-heater method
p. 1384-1398
Estimate of the number of members in the minimal committee of a system of linear inequalities
p. 1399-1404
Solvability of a class of discrete vector problems by the algorithms of linear convolution of criteria
p. 1405-1408

Sommaire du Fascicule no. 12

The canonical Schur form of a unitarily quasidiagonalizable matrix
p. 1411-1415
On the stability of one method for generalized inversion of matrix relative to rounding-off errors
p. 1416-1423
The strong convergence of the iteration method for operators with degeneracy
p. 1424-1426
Asymptotic minimization of the full moment of control actions
p. 1427-1438
Finding approximate solutions to minimax problems
p. 1439-1448
Numerical optimization of solutions to Burgers problem by means of boundary conditions
p. 1449-1458
Continuous linearization method with a variable metric for problems in convex programming
p. 1459-1466
Parametrizing the value of the vector minimax with dependent constraints
p. 1467-1477
A fast direct method for solving a variational-difference analogue of the Poisson equation on a triangulation with condensation toward a part of the boundary
p. 1478-1481
An analytical theory of combustion waves propagating with constant
p. 1482-1488
Boundary conditions for Maxwell equations with arbitrary time dependence
p. 1489-1497
Asymptotic solution of the problem of forced oscillation of viscous stratified fluid
p. 1498-1505
Nonlinear singular problems in relativistic cosmology. II. The Higgs field in the de Sitter space
p. 1506-1519
Solvability of the transient analogue of the Lavrent'ev–Sedov–Keldysh problem for the ion-acoustic wave equation
p. 1520-1525
New tables of Bessel functions of complex argument
p. 1526-1528