Geodesic

Sommaire du Fascicule no. 1

The dimension of the variety of normal matrices
p. 5-10
Commutation criterion for Toeplitz matrices
p. 11-14
B-spline in the finite element method
p. 15-24
Approximation of some classes of functions by local splines
p. 25-33
Cubature formulas on a sphere that are invariant with respect to octahedron rotation groups
p. 34-41
Properties of the solutions to the problem of dynamic routing in Networks
p. 42-52
Accelerating the convergence rate of a combined relaxational method
p. 53-60
The argument principle in a spectral problem for systems of ordinary differential equations with singularities
p. 61-67
Numerical solution of the Cauchy problem for a system of differential-algebraic equations with the use of implicit Runge–Kutta methods with a nontrivial predictor
p. 68-84
Construction of high-order accurate difference schemes for hyperbolic equations
p. 85-98
Solution of the Dirichlet difference problem for the multidimensional Helmholtz equation by the Monte Carlo method
p. 99-106
Numerical probabilistic methods for solving a three-dimensional hyperbolic diffusion equation
p. 107-114
The method of boundary integral equations for a model of electric current in superconductors
p. 115-121
Soliton solutions of the two-dimensional Zakharov–Kuznetsov equation
p. 122-135
Determination of the propagation constants of dielectric-waveguide eigenmodes by methods of potential theory
p. 136-140
On the unique solvability of an initial-boundary value problem in dynamics of exponentially stratified fluid
p. 141-149
An analogue of Schwarz method for solving Zaremba problem and its application in underground fluid mechanics
p. 150-156
The rate of convergence of Galerkin approximations for a nonlinear thermoelasticity problem for thin plates
p. 157-168
Local methods for solving one class of integer linear programming problems
p. 169-173
Spectral-difference technique for the numerical integration of the
p. 174-176

Sommaire du Fascicule no. 2

On simultaneous reduction of a pair of oblique projectors to block triangular form
p. 181-182
A quadrature formula for Hilbert's integral
p. 183-188
A finite algorithm for solving a problem of optimal control with discrete-time phase constraints
p. 189-206
Finite-difference schemes for time-dependent diffusion-convection problems
p. 207-219
Economical scheme for a parabolic equation in cylindrical coordinates in a domain with a small hole
p. 220-227
Parallel version of the alternating triangular method
p. 228-238
High accuracy post-processing technique for free boundaries in finite element approximations to the obstacle problems
p. 239-246
Real properties of bilinear finite element implementations of methods with the splitting of boundary conditions for a Stokes-type system
p. 247-261
Regularization of the problem of diffraction of an arbitrary electromagnetic wave by a perfectly conducting spherical cap
p. 262-276
A variational method for diffraction problems on domains with noncompact boundaries
p. 277-288
Asymptotics of the solution to the singularly perturbed nonstationary neutron transport equation
p. 289-297
Asymptotics formulas for the frequencies of axially symmetric vibrations of a shell of revolution
p. 298-309
The convergence of the difference solution to the third boundary value problem of elasticity theory
p. 310-314
Disintegration conditions for a nonlinear wave in a viscoelastic medium
p. 315-323
On the mixed finite element method in the nonlinear theory of thin shells
p. 324-329
The filtration consolidation problem for media with long-term memory
p. 330-336
Calculation of the performance characteristics of a three-dimensional scramjet nozzle/afterbody system
p. 337-343
An approach to reducing the computational cost of constructing curvilinear grids
p. 344-350
Synthesizing mathematical models of dynamic systems from experimental data
p. 351-352

Sommaire du Fascicule no. 3

On the convergence of an elimination method
p. 355-364
A method for selective computation of eigenvectors of matrices and its
p. 365-375
Stable computation of the Fourier transform using regularization
p. 376-386
Strong convergence of difference approximations for problems of boundary control and observation for the wave equation
p. 387-397
Dynamical reconstruction of controls in parabolic systems
p. 398-412
Second-order accurate finite-difference schemes on nonuniform grids
p. 413-424
Application of one-dimensional optimal grids to two-dimensional
p. 425-432
Solving boundary value problems concerning the bending of latticed rectangular plates by the decomposition method
p. 433-447
Numerical simulation of routes to chaos in dissipative oscillators with one degree of freedom
p. 448-456
The Ginzburg–Landau equation as a normal form for a second-order difference-differential equation with a large delay
p. 457-465
Some convolution-type integral equations in kinetic theory
p. 466-482
Radiation conditions for a cone
p. 483-488
Direct statistical simulation of some problems in turbulence theory
p. 489-503
Application of Newton's method in simulation of unsteady separated flows
p. 504-509
Calculation of three-dimensional turbulent boundary-layer flows on a network of different-power computers
p. 510-519
An implicit method for calculation of the turbulent flow of a compressible viscous gas
p. 520-531
Reconstruction of linear index expressions for reducing programs to a linear class
p. 532-544

Sommaire du Fascicule no. 4

An elimination method for linear problems
p. 547-556
On fast computation of a polynomial in the Frobenius matrix
p. 557-558
On the rate of convergence of iterative processes for nonlinear operator equations
p. 559-563
The projection method in linear-quadratic problems of optimal control
p. 564-572
Berge convergence of the penalty function method with respect to the argument
p. 573-589
The consistency of the Pareto and Nash optimality principles as applied to the problem of routing in a ring network
p. 590-595
The two-dimensional Sobolev inequality in the case of an arbitrary grid
p. 596-599
Discretization and nonlinear effects in mathematical models of heat conduction theory
p. 600-606
Numerical solution of a system of Volterra equations of the first kind
p. 607-611
Error estimation and optimization for the frequency polygon method in the $\mathbb C$-metric
p. 612-626
Error estimation in the method of dependent tests for multiple parametric integrals with infinite variance
p. 627-634
Scattering problem for the Neumann-Liouville equation
p. 635-637
A boundary value problem for the radiative transfer equation with combined Rayleigh and isotropic scattering
p. 638-650
Influence of a quasi-thin fluid-saturated porous layer on Rayleigh and Stoneley surface waves
p. 651-658
Computation of steady supersonic three-dimensional flows with bow shocks by the method of characteristics
p. 659-668
Solution of the Rayleigh equation with the use of computer algebra
p. 669-673
A hysteresis model for the capillary contact angle
p. 674-681
The effective dimension of a set of measurement data
p. 682-697
An algorithm for constructing irredundant tests for binary tables
p. 698-704

Sommaire du Fascicule no. 5

On the pseudounitary $QR$ algorithm for pseudo-Hermitian matrices
p. 709-712
A modification of a numerical method for solving a nonlinear eigenvalue problem
p. 713-717
On the pseudosolutions of monotone equations with approximately given operators
p. 718-723
The orthogonal projection method and its regularized and statistical interpretation
p. 724-727
Construction of periodic solutions with a given accuracy by the method of the small parameter
p. 728-733
Iterative methods of solving boundary canonical equations in boundary value problems with symmetries
p. 734-739
Justification of the dynamic programming method as applied to standardization-type problems
p. 740-748
Solution of stochastic problems of assessing the feasibility of multicommodity flows
p. 749-769
The regularized constraint aggregation method for a problem of semi-infinite optimization
p. 770-776
On contrast structures that arise when the type of stability of a root of a degenerate equation changes
p. 777-787
Self-similar solutions to the Cauchy problem for a nonlinear heat equation
p. 788-800
An asymptotic solution to the problem of convection-diffusion around a sphere
p. 801-806
Asymptotic solution of the problem of natural oscillations of viscous
p. 807-812
Effective moduli of composites reinforced by systems of plates and bars
p. 813-834
On a new approach to the simulation of the nonlinear propagation of ultrashort laser pulses
p. 835-839
Problems of simulation of separated viscous incompressible flows around bodies
p. 840-854
Stability of finite difference boundary conditions for vorticity on a rigid wall
p. 855-859
Solution of the equations of a nonequilibrium viscous shock layer for blunt bodies with catalytic surfaces
p. 860-869
The task-oriented optimization of bases in recognition problems
p. 870-880

Sommaire du Fascicule no. 6

A mathematical model of global demographic processes with regard to the spatial distribution
p. 885-902
On the convergence of descent methods
p. 903-911
A method for constructing the local points of the Nash equilibrium in a linear game problem
p. 912-917
A numerical method for solving a linear time-optimal control problem
p. 918-931
A numerical method for solving quadratic programming problems with quadratic penalties applied by stages
p. 932-937
On a contrast steplike structure for a class of second-order nonlinear singularly perturbed equations
p. 938-947
Substantiation of the perturbation method for a quasilinear heat-conduction problem
p. 948-955
On some methods for enhancing the convergence speed for the higher harmonics of bilinear finite element implementations of iterative methods with boundary-condition splitting for a Stokes-type system
p. 956-970
On new exact solutions of the one-dimensional nonlinear diffusion
p. 971-977
Solution of the Hartree–Fock equations for electrons in a crystal
p. 978-991
The second Painlevé equation in the electrostatic-probe theory: Numerical solutions
p. 992-1000
On the computation of pressure gradient in the parabolized viscous shock-layer model
p. 1001-1007
Flow separation and nonuniqueness of solutions to the equations of a turbulent boundary layer
p. 1008-1016
Simulation of diffusion processes by means of cellular automata with Margolus neighborhood
p. 1017-1020
Modeling of the time-dependent aerodynamic characteristics of a rotating blade row
p. 1021-1032
A method for computing heterogeneous wave flows with intense phase interaction
p. 1033-1039
Numerical solution of a kinetic equation for the evaporation-condensation problem
p. 1040-1053
Specific features of solutions to the Euler gas-dynamics equations for bosons in the case of cylindrical and spherical symmetry
p. 1054-1056

Sommaire du Fascicule no. 7

An algebraic multilevel iterative method of incomplete factorization for Stieltjes matrices
p. 1059-1074
On certain quasidiagonalizable families of matrices
p. 1075-1084
Some remarks on the minimal pseudoinverse matrix method
p. 1085-1090
Relative arrangement of two molecules resulting in minimization of the weighted sum of the interatomic distances squared
p. 1091-1094
A method for finding the smallest eigenvalue of a nonlinear selfadjoint spectral problem
p. 1095-1105
Approximating properties of resolvents of differential operators in the approximation problem for functions and their derivatives
p. 1106-1113
Cubature formulas that are exact for trigonometric polynomials
p. 1114-1117
Splitting of the gradient approach for solving extreme inclusions
p. 1118-1132
Asymptotic approach to solving the multi-index axial transportation problem
p. 1133-1139
Pointwise residual method as applied to some problems of linear algebra and linear programming
p. 1140-1152
Justification of the quadrature method for nonlinear integral equations
p. 1153-1161
On the relaxation of solutions for unsteady viscous transonic flows as $t\to +\infty$
p. 1162-1169
On the strong monotonicity of nonlinear difference schemes
p. 1170-1185
Approximate propagator for the Schrödinger equation
p. 1186-1189
Implementation of a three-dimensional hydrodynamic model for evolution of sedimentary basins
p. 1190-1203
Quasi-averaging of the system of equations of one-dimensional motion of a viscous heat-conducting gas with rapidly oscillating data
p. 1204-1219
The accuracy of numerical solutions to the Navier–Stokes equations
p. 1220-1232

Sommaire du Fascicule no. 8

Discrete periodic splines and their numerical applications
p. 1235-1246
The method of convex programming with a prescribed absolute-relative error
p. 1247-1254
Numerical solution of a boundary value problem for a set of equations
p. 1255-1265
Convergence of a modified Samarskij's monotonic scheme on a smoothly condensing grid
p. 1266-1278
On Nishida's problem
p. 1279-1286
Existence and stability of rapidly oscillating cycles for the nonlinear telegraph equation
p. 1287-1300
Numerical solution of the problems of scattering by Platonic bodies in the classes of functions invariant under symmetry transformations
p. 1301-1313
The method of the Riemann-Hilbert problem in the theory of diffraction by shells of arbitrary cross section
p. 1314-1328
Wave jumps described by the modified Schrödinger equation
p. 1329-1348
A variational method for solving magnetostatic problems
p. 1349-1354
Finite-difference approximation of the Hugoniot conditions on a shock front propagating with variable velocity
p. 1355-1367
Impact on a planar body floating on the surface of a thin layer of an inviscid incompressible fluid
p. 1368-1378
Attenuation of one-dimensional acoustic-gravitational oscillations in a
p. 1379-1390
A numerical method for calculating axisymmetric rarefied gas flows
p. 1391-1403
Calculation of partially convex hulls and approximations for finite planar sets
p. 1404-1414
The general theory of reference-parametric methods of approximate solutions of linear operator equations
p. 1415-1417
A grid approximation for the Riemann problem in the case of the Burgers equation
p. 1418-1420
Families of exact solutions to the time-independent Euler and Navier–Stokes equations
p. 1421-1422
Lev Markovich Degtyarev (1940–1998)
p. 1423-1424

Sommaire du Fascicule no. 9

$D$-stability of 4-by-4 matrices
p. 1429-1435
Algorithms for calculating continued fractions
p. 1436-1451
Application of nonsmooth optimization methods to solving nonlinear operator equations
p. 1452-1460
An adaptive method for solving $l_1$-extremum value problems
p. 1461-1472
An asymptotic method for a singularly perturbed linear-quadratic optimal control problem
p. 1473-1483
An iterative procedure for solving a control problem with phase constraints
p. 1484-1489
An analogue of the Kelley condition for optimal systems with aftereffect of neutral type
p. 1490-1499
Unconstrained minimization of $H$-hyperdifferentiable functions
p. 1500-1508
Entropy maximization under linear constraints
p. 1509-1513
The method of projective transformations for the minimization problem of a submodular function
p. 1514-1524
Analysis of the convergence of a class of barrier projection methods for linear programming problems
p. 1525-1533
On the theory of alternating contrast structures
p. 1534-1543
Experimental investigation of the block method for the Laplace equation
p. 1544-1552
Modified line-by-line method for difference elliptic equations
p. 1553-1562
A mathematical model for the problem of diffraction by an inhomogeneous cylindrical body
p. 1563-1571
On the convergence of a certain class of difference schemes for the equations of unsteady gas motion in a disperse medium
p. 1572-1577
An additive finite-difference method for solving problems in laser thermochemistry
p. 1578-1582
Oscillation of a set of curvilinear segments in a stratified fluid
p. 1583-1591
Optimization of a short-span wing in a hypersonic gas flow with boundary-layer transition
p. 1592-1601
A conservative particle method for a quasilinear transport equation
p. 1602-1607
On the zeros of Boolean polynomials
p. 1608-1615

Sommaire du Fascicule no. 10

Rapidly convergent compound formulas for approximate evaluation of Wiener path integrals
p. 1621-1625
Discrete gradient as applied to the minimization of Lipschitzian functions
p. 1626-1635
A method for solving selfadjoint multiparameter spectral problems for systems of equations with singularities
p. 1636-1640
On difference schemes for differential-algebraic systems
p. 1641-1650
A method of error analysis for Runge–Kutta methods
p. 1651-1653
Asymptotics of solutions to a second-order quasi-linear equation
p. 1654-1660
An iterative method for calculating the limits of maximal means
p. 1661-1664
A method of numerical integration for a system of ordinary differential equations with the use of the Hermitian interpolating polynomials
p. 1665-1670
Numerical solution of an equation with a small parameter on an infinite interval
p. 1671-1682
Nonlinear inverse problem for a higher-order parabolic equation
p. 1683-1691
A method of algebraic adaptation
p. 1692-1709
Numerical analysis of certain periodic solutions to the Kadomtsev–Petviashvili equation
p. 1710-1716
A compact sixth-order scheme for solving the Euler equations
p. 1717-1720
Application of high-resolution schemes in the modeling of ionization waves in gas discharges
p. 1721-1731
Application of quasi-hydrodynamic equations in the modeling of low-Prandtl thermal convection
p. 1732-1742
Dirichlet problem for the ion acoustic wave equation in two dimensions
p. 1743-1750
Numerical analysis of the statistical characteristics of density fluctuations in a flow with a shock wave
p. 1751-1757
Domain decomposition method for the problem of bending heterogeneous plate
p. 1758-1766
Linear stability of internal vortex flows
p. 1767-1773
Stability of the numerical method of pseudocharacteristics for three-dimensional supersonic flows
p. 1774-1779
Numerical analysis of tricriteria tree and assignment problems
p. 1780-1787
An experiment on automated statistical recognition of clouds
p. 1788-1792

Sommaire du Fascicule no. 11

Parametric representation of the integral funnel of a differential inclusion
p. 1795-1800
On a quantitative measure of stability for a vector problem in integer programming
p. 1801-1805
An approach to the integration of the Euler kinematic equations
p. 1806-1813
Approximation estimates for singular boundary value problems for ordinary differential equations
p. 1814-1821
On a property of the Störmer method
p. 1822-1828
Difference potentials and parameterization of solutions of homogeneous difference equations
p. 1829-1843
Approximation of singularly perturbed elliptic equations with convective terms in the case of a flow impinging on an impermeable wall
p. 1844-1859
Computational aspects of finite volume methods
p. 1860-1876
On the particle method for the Vlasov kinetic equation
p. 1877-1883
Calculation of the matrix elements of a collision integral
On the completeness of the set of eigen- and associated functions of a waveguide
p. 1891-1899
Application of generalized spherical functions in the spherically symmetric dynamo problem
p. 1900-1906
A direct method for solving radiative transfer equations in the $P_1$ approximation
p. 1907-1918
Construction of a scheme for computing radiative transfer in problems of radiative gas dynamics
p. 1919-1927
Numerical solution of the Rapoport–Leas equation using the method-of-lines and the DASSL code
p. 1928-1935
A method for computing axially symmetric rotating flows of a rarefied gas at small Knudsen numbers
p. 1936-1942
On the calculation of two-dimensional interaction between a cloud of space dust particles and the atmosphere
p. 1943-1952

Sommaire du Fascicule no. 12

Development of some ideas of D. K. Faddeev and V. N. Faddeeva in computational algebra
p. 1955-1961
Iterative methods of gradient type of irregular operator equations
p. 1962-1966
Construction of curves by means of parametric polynomials
p. 1967-1972
Optimal Markov monotone symmetric random search
p. 1973-1982
Numerical solution of boundary value problems for linear systems of stochastic differential equations
p. 1983-1988
Finite-difference approximations for singularly perturbed elliptic equations
p. 1989-2001
A parallel version of the generalized alternating triangular method for elliptic equations
p. 2002-2012
On the behavior of the derivative of a parabolic double-layer potential near the boundary
p. 2013-2027
Validation of a numerical algorithm for solving inverse boundary value problems for heat equation that takes into account the semigroup symmetry
p. 2028-2042
Electromagnetostatic operator, its spectral properties, and application to the problem of distribution of eddy currents
p. 2043-2054
An invariant of femtosecond-pulse propagation in a nonlinear absorptive medium
p. 2055-2059
Numerical integration of equations defining the nuclear-reactor dynamics
p. 2060-2077
Unsteady transonic flow behind a shock wave
p. 2078-2085
A method for constructing solutions to the equations of the periodic boundary layer
p. 2086-2095
Rarefied gas flow around cylindrical bodies
p. 2096-2102