Geodesic

Sommaire du Fascicule no. 1

On the 60th birthday of Boris Vasil'evich Pal'tsev
p. 3-5
On a quasidiagonalizability criterion for real matrices
p. 6-20
A method for solving the multiparameter eigenvalue problem for certain systems of differential equations
p. 21-29
Improved stability of a method for computing the coefficients of an absolutely convergent series approximating a functional integral
p. 30-34
Bounds for the principal and stiff components based on the integral performance criterion for dichotomy
p. 35-42
Optimization of systems of canonical hyperbolic equations with smooth bounded controls
p. 43-53
Asymptotics of the solution to a linear singularly perturbed optimal control problem with phase constraints
p. 54-64
A regularized two-step projection method for constrained minimization problems
p. 65-71
Complexity bounds for a combined relaxation method
p. 72-81
Maximization of the velocity circulation in a flow around a smooth contour with sources and sinks
p. 82-90
Method of asymptotic perturbations of a fundamental solution and calculation of integrals containing Bessel functions of arbitrary integer orders
p. 91-111
Numerical determination of the Titchmarsh–Weyl $m$-coefficient
p. 112-121
Steplike contrast structures for a singularly perturbed elliptic equation in an annulus
p. 122-135
Oscillations in rotating stratified fluid excited by a plane traveling wave at the bottom
p. 136-143
One approach to the problem of elastic moderation of neutrons from a monoenergetic isotropic point source in a homogeneous medium
p. 144-152
On algorithms implementing the particles method on unstructured grids
p. 153-165
Optimization methods for linear and monotone correction in the algebraic approach to the recognition problem
p. 166-176

Sommaire du Fascicule no. 2

The 60th birthday of Valentin Fedorovich Butuzov
p. 179-180
On a method of iterative regularization for convex minimization problems
p. 181-187
Ellipsoids containing optimal solutions of the linear programming problem
p. 188-198
Solving systems differential-algebraic equations of high indices
p. 199-206
Blow-up self-similar solutions of Cauchy problems for the quasilinear parabolic equation
p. 207-222
High-order accurate difference schemes for elliptic equations in a domain with a curvilinear boundary
p. 223-232
Calculation of reflection and refraction of a sonic pulse by a porous layer in a fluid
p. 233-237
Blow-up regimes in a demographic system: Scenario of increase in the nonlinearity
p. 238-251
Global solvability of the Cauchy problem for a system of magnetogasdynamics equations in the case of a locally adiabatic flow
p. 252-264
Harmonic analysis of the quasi-gasdynamic system of equations for viscous gas flows and kinetically consistent finite difference schemes in their linear approximations
p. 265-273
A computer-aided procedure for constructing boundary layers in plate theory
p. 274-285
Strong ellipticity of the hybrid formulation of the electromagnetic diffraction problem
p. 286-299
A neural network with diffusive interaction between elements for selecting changes in a dynamic image
p. 300-306
Multiple congruent convolutions of probability densities and estimates in the $L^\infty([0,1)^n)$ space
p. 307-317
Optimization algorithms in the cone of central path
p. 318-327
Discrete problem of convex combinations and its applications
p. 328-331
Saving computer memory and computation time in the differential sweep method
p. 332-334
Georgii Sergeevich Khovanskii (1921–1999)
Vladimir Mikhailovich Kurochkin (1926–1999)

Sommaire du Fascicule no. 3

On a class of methods for solving systems of nonlinear equations
p. 339-347
Numerical methods for finding all real roots of systems of nonlinear equations
p. 348-355
Construction of surfaces by means of parametric polynomials
p. 356-364
An approach to finding singular solutions to a general system of nonlinear equations
p. 365-377
Lower convex approximations of Lipschitzian functions
p. 378-386
Accurate three-point difference schemes for second-order monotone ordinary differential equations and their implementation
p. 387-401
An efficient algorithm for elliptic problems with large parameters
p. 402-415
Stochastic solution of quasilinear hyperbolic equations based on inversion of the differential operator
p. 416-427
Passage to the limit in quasilinear integro-differential equations with weakly convergent coefficients
p. 428-439
Numerical study of the buckling of an elastic rod in a tube
p. 440-450
Optimal starting control of viscous gas flows
p. 451-472
Oscillations in stratified rotating fluid induced by a wave traveling along the inclined bottom
p. 473-482
Supersonic rarefied gas flow behind the trailing edge of a smooth plate
p. 483-494
Leonid Ivanovich Sedov (1907–1999)
p. 495-496

Sommaire du Fascicule no. 4

The 75th birthday of Aleksei Georgievich Sveshnikov
p. 499-502
On the completeness of the set of eigenvectors of a nonlinear selfadjoint eigenvalue problem
p. 503-504
Optimal calculation of derivatives of various orders in the class of finite-spectrum functions
p. 505-516
Optimal control of the process of melting
p. 517-531
The general solution to the principal-agent problem with asymmetrical information under uncertainty and risk
p. 532-545
Reduction of a boundary value problem for a second-order linear vector difference equation to a finite number of grid points
p. 546-556
A local characteristic approach in high-order differencing
p. 557-561
Uniform in a small parameter convergence of Samarskii's monotone scheme and its modification for the convection-diffusion equation with a concentrated source
p. 562-578
On a self-similar solution to a nonlinear differential equation and to a singularly perturbed boundary problem
p. 579-589
Implicit block iterative method for solving two-dimensional elliptic equations
p. 590-597
On direct and inverse problems of electrodynamics
p. 598-605
On the problem of scattering in a nonuniform waveguide
p. 606-610
Method of generalized functions for solving stationary boundary value problems for Maxwell's equation
p. 611-622
Refinement of the asymptotic solution obtained by the method of matched expansions in the contact problem of elasticity theory
p. 623-632
Free oscillations of a liquid in a spherical cavity: Numerical-analytical variant of the variational method and inversion of a high-order Hilbert matrix
p. 633-637
Numerical simulation of a supersonic asymmetric flow around a sharp-nosed circular cone
p. 638-646
Rarefied gas flow in a pipe of finite length
p. 647-655
Correcton to: “On finite-element realizations of iterative and Stokes-type systems in a spherical layer. The axisymmetric case”

Sommaire du Fascicule no. 5

Iterative approximation for convex optimization problems with operator constraints in a Hilbert space
p. 659-670
On the types of Hausdorff upper discontinuity of convex polynomial mappings
p. 671-684
Games with many-valued payoff functions
p. 685-692
Bifurcations in the neighborhood of a cycle under small perturbations with a large delay
p. 693-702
A limit theorem for a Tikhonov system of equations
p. 703-713
Grid approximation of singularly perturbed boundary value problems on locally condensing grids: Convection-diffusion equations
p. 714-725
Finite difference schemes for convection-diffusion problems on irregular meshes
p. 726-739
Construction and implementation of finite-difference schemes for systems of diffusion equations with localized chemical reactions
p. 740-753
On the spectral and approximating properties of cubic finite-element approximations of the Laplace and first-derivative operators: The periodic case
p. 754-774
Small-amplitude sound waves in a viscous rotating compressible Newtonian fluid
p. 775-781
On algorithms for computing the Riemann problem by means of Godunov's scheme
p. 782-796
Method for evaluating the resemblance of images based on similarity transformations
p. 797-808
Computation of pair placement of geometric objects
p. 809-816

Sommaire du Fascicule no. 6

On the solution of integral equations of the first kind nonlinear in parameter in classes of distributions
p. 819-831
Nondegenerate estimates for the convergence rate of iterative methods for ill-posed nonlinear operator equations
p. 832-837
Numerical methods for open-loop and closed-loop optimization of linear control systems
p. 838-859
Classification of vector optimization problems with uncertain factors
p. 860-876
A steplike contrast structure in a singularly perturbed system of elliptic equations with different power of a small parameter
p. 877-899
Nonlinear regularized finite-difference schemes for the multidimensional transport equation
p. 900-907
Mean-square estimates for the error of a projection-difference method for parabolic equations
p. 908-919
Solution of the principal spectral problem and mathematical modeling of nuclear reactors
p. 920-928
Numerical solution of a class of nonlinear problems in synthesis of radiating systems
p. 929-939
A Godunov-type method in dynamics of elastoplastic media
p. 940-953
Haar spectra of discrete convolutions
p. 954-960

Sommaire du Fascicule no. 7

On the quasidiagonalizability of $3$-selfadjoint matrices
p. 963-973
Modifying certain elimination methods
p. 974-979
On the annular separation of a matrix spectrum
p. 980-985
Necessary conditions for the convergence of iterative methods for solving irregular nonlinear operator equations
p. 986-996
A method for constructing regularization techniques for equations of the first kind
p. 997-1002
Differentiation of navigation error with respect to an approximating function and a geophysical field fragment
p. 1003-1011
On the embedding of minimal spline spaces
p. 1012-1029
An efficient algorithm for numerical inversion of the Laplace transform
p. 1030-1044
A dual regularized method for solving a class of convex minimization problems
p. 1045-1060
Asymptotics of solutions to the optimal control problem for time-independent Navier–Stokes equations
p. 1061-1070
On pseudodiagonally optimal Runge-Kutta simple iteration methods for systems of differential-algebraic equations of index $1$
p. 1071-1089
On the behavior of sound field in the problem of diffraction in a waveguide in the presence of a mean flow
p. 1090-1097
A numerical study of three-dimensional Rayleigh–Taylor instability development
p. 1098-1103
On the choice of a system of support sets for an efficient implementation of recognition algorithms of the estimate-computing type
p. 1104-1118
Nikita Nikolaevich Moiseev (1917–2000)
p. 1119-1120

Sommaire du Fascicule no. 8

The quasidiagonalizability of oblique projectors as a particular case of the noncommutative spectral theorem
p. 1123-1130
An optimal control problem
p. 1131-1141
The interior linearization method for equilibrium programming problems
p. 1142-1162
Soft differential equations
p. 1163-1175
Construction of asymptotics for the solution of a singularly perturbed parabolic problem with nonsmooth boundary functions
p. 1176-1191
On a periodic solution of the parabolic singularly perturbed equation with different powers of a small parameter multiplying the first and second derivatives
p. 1192-1205
Construction of schemes of prescribed order of accuracy with linear combinations of operators
p. 1206-1220
Mathematical modeling for supercomputers: Background and tendencies
p. 1221-1236
On quasi-steady processes in conducting nondispersive media
p. 1237-1249
Existence and properties of solutions to the spectral problem of the dielectric waveguide theory
p. 1250-1263
Discrete analysis of feature descriptions in recognition problems of high dimensionality
p. 1264-1278
On everywhere differentiable quasi-classical approximations of Bessel functions
p. 1279-1280

Sommaire du Fascicule no. 9

On the 75th birthday of Oleg Mikhailovich Belotserkovskij
p. 1283-1284
The canonical form as a tool for proving the properties of projectors
p. 1285-1290
Solution methods for variational inequalities with coupled constraints
p. 1291-1307
A technique for controlling the global error in multistep methods
p. 1308-1329
Some overdetermined problems for differential equations and their applications
p. 1330-1338
On the acceleration of finite-element implementations of iterative processes with splitting of boundary conditions for a Stokes-type system
p. 1339-1363
On a three-dimensional problem of diagnostics in the wave approximation
p. 1364-1367
Solution of the principal spectral problem for a system of multigroup diffusion equations
p. 1368-1377
Method for solving a class of problems of diffraction in a waveguide
p. 1378-1385
Application of adaptive grids in numerical analysis of time-dependent problems in gas dynamics
p. 1386-1407
Numerical simulation of shock waves with nonunique structure
p. 1408-1415
Asymptotic expansion of the solution to the problem of vibrational convection
p. 1416-1424
On approximate methods in gas dynamics
p. 1425-1435
Optimal maximization and approximation algorithms for approximately calculated functions of many variables
p. 1436-1439
Remark on the paper “A polynomial algorithm for the multi-index choice problem”

Sommaire du Fascicule no. 10

On Hermitian eigenvalue problems with additional Hamiltonian or skew-Hamiltonian structure
p. 1443-1446
Gradient-type iterative methods with projection onto a fixed subspace for solving irregular operator equations
p. 1447-1450
Multistage vector minimax
p. 1451-1463
On the approximation properties of nonsmooth convex disks
p. 1464-1474
Analysis of a new method for approximation of convex compact bodies by polyhedra
p. 1475-1490
The plant location problem with discrete capacities and indivisible customers
p. 1491-1507
Numerical implementation of two-soliton solutions to the Kadomtsev–Petviashvili equation
p. 1508-1516
Boundary integral equations of the first and second kind of numerical solution of the problem of diffraction by polyhedrons near interior resonances
p. 1517-1540
Asymptotic expansion of a solution of the problem of convective diffusion near an axially symmetric drop
p. 1541-1553
A macroscopic model of hypersonic rarefied gas flow
p. 1554-1562
Numerical simulation of the viscous nonequilibrium air flow behind a strong shock wave
p. 1563-1570
Simulation of water flow driven by a large free-surface elevation head
p. 1571-1584
Correction to: “On a technique for constructing regularization methods for equations of the first kind”

Sommaire du Fascicule no. 11

On rational calculation of the invariant subspaces of a complex matrix
p. 1587-1588
Evaluation of integrals with a logarithmic singularity
p. 1589-1592
Using quantiative information on the relative importance of criteria for decision making
p. 1593-1601
Numerical analysis of algorithms for solving bicriteria discrete programming problems
p. 1602-1610
On stability of differential sweep methods
p. 1611-1614
An iteration method for solving the problem of optimal nonlinear heating with phase constraints
p. 1615-1632
Multipole method for the Dirichlet problem on doubly connected domains of complex geometry: A general description of the method
p. 1633-1647
Approximation of systems of convection-diffusion elliptic equations with parabolic boundary layers
p. 1648-1661
Control of cells shapes in the course of grid generation
p. 1662-1684
Barrier method for quasi-isometric grid generation
p. 1685-1705
A method for solving the Stefan problem in a two-phase domain with a nonplanar interface
p. 1706-1715
Blowup in a finite time of the solution to the initial-boundary value problem for a semilinear composite type equation
p. 1716-1724
Inverse problems for a one-dimensional nonlinear stationary equation
p. 1725-1738
Some modifications of Marchuk's multigroup method for inhomogeneous boundary value problems in neutron transport theory
p. 1739-1752
Fluctuations in a gas flow with a shock wave
p. 1753-1760

Sommaire du Fascicule no. 12

On the 90th birthday of academician Anatolii Alekseevich Dorodnitsyn (1910–1994)
p. 1763-1765
Search for normal solutions in linear programming problems
p. 1766-1786
Sufficient conditions for the eigenvalues of the operator $-d^2/dx^2+q(x)$ under the Ionkin–Samarskii conditions
p. 1787-1800
Explicit difference schemes for solving stiff problems with a complex or separable spectrum
p. 1801-1812
Problems in compressible fluid dynamics with a variable viscosity
p. 1813-1822
Exact estimates of the convergence rate of iterative methods with splitting of the boundary conditions for the Stokes-type system in a layer with a periodicity condition
p. 1823-1837
On the time-dependent Stokes problem
p. 1838-1841
A computer technique for analyzing scattering problems by the discrete source method
p. 1842-1856
Construction of high-order accurate shock-capturing finite difference schemes for unsteady shock waves
p. 1857-1874
Kinetically consistent schemes for simulations of viscous gas flows
p. 1875-1889
Construction of airfoils and engine nacelles that are supercritical in a transonic perfect-gas flow
p. 1890-1904
Applied problems of mathematical modeling in immunology
p. 1905-1920