Geodesic

Sommaire du Fascicule no. 1

A diagonalization theorem for a type of Hamiltonian using operator theory in spaces with an indefinite metric
p. 3-14
The stability of the solution of an integral equation of the first kind on bounded and compact sets
p. 15-25
An asymptotically optimal method for solving an ill-posed classification problem
p. 26-38
A method of finding a stochastic saddle point
p. 39-49
Criteria for the unique solvability of a linear boundary-value problem for an ordinary differential equation
p. 50-66
A generalized Cholesky algorithm for mixed discrete analogues of elliptic boundary value problems
p. 67-74
Optimization of the form of a periodic interface between two homogeneous media with different dielectric permeabilities
p. 75-81
The potential method in a three-dimensional problem of the diffraction of electromagnetic waves
p. 82-92
Investigation of the stability of a pulsating Poiseuille flow in a planar channel
p. 93-103
Calculation of non-stationary viscous flows with domains with strong non-uniformities
p. 104-109
Three-dimensional flow of a rarefied gas past a conical body
p. 110-117
An efficient stochastic algorithm for solving the Boltzmann equation
p. 118-124
The fast Fourier transform in odd cosines
p. 125-127
The stationary phase method: Focusing in a line
p. 127-132
The solution of the equations of fluid dynamics when the channel wall is subjected to external vibrations
p. 132-135
On vortex production in computational aerodynamics
p. 135-137
“Through” computation of flows with shock waves
p. 137-142
On three-dimensional supersonic flow past blunt bodies when interference is present
p. 142-147
Numerical simulation of supersonic variable-density gas flow past a sphere
p. 148-151
A spatial approach to the numerical solution of problems of the mechanics of thin-walled structures
p. 151-153
Lidl R., Niederreiter Н. Introduction to finite fields and their applications. Cambridge: Cambridge Univ. Press, 1987. VII+407 pp. (Book review)

Sommaire du Fascicule no. 2

Comparison of certain procedures for random search for a global extremum
p. 163-170
On some algorithmic problems of multicriterion optimization on graphs
p. 171-183
Computational problems for hydraulic systems
p. 184-193
On a class of $(m,k)$-methods for solving stiff systems
p. 194-201
The canonicity of mappings generated by Runge–Kutta type methods when integrating the systems $\ddot x=-\partial U/\partial x$
p. 202-211
The method of normal spline collocation
p. 212-224
The theory of internal and surface waves in a stratified liquid
p. 225-238
Difference schemes for initial-boundary value problems for Maxwell's equations in an unbounded domain
p. 239-250
The construction of a complete set of divergent forms of the conservation equations based on the Boltzmann equations
p. 251-262
Direct statistical modelling of the circumfluence of a sphere by a rarefied gas in the transitional regime
p. 263-269
Justification of a stochastic method for solving the Boltzmann equation
p. 270-276
The entry of a freely expanding gas jet into a circular aperture in a transverse obstacle
p. 277-285
Choosing the “Russian roulette and splitting” parameters for Monte Carlo computation of radiation transfer
p. 286-293
Asymptotic behaviour of the solution of a time-dependent boundary value problem for the system of equations of the method of spherical harmonics
p. 294-298
Fundamental solutions of three-dimensional cell problems for some equations of mathematical physics
p. 298-304
A theorem on the existence of a solution of a nonlinear system of equations of time-dependent spectral radiation transport
p. 304-309
Thermodynamically matched difference schemes
p. 309-312
The use of a continuous analogue of Newton's method to solve the equations of a non-selfsustaining gas discharge
p. 312-314
Estimates of the error when the solution of the Boltzmann equation is approximated by the solution of the Ito stochastic differential equation
p. 314-315

Sommaire du Fascicule no. 3

A constructive method of solving a differential game of quality with two terminal surfaces
p. 323-331
A global minimization algorithm with parallel iterations
p. 332-345
Study and numerical solution of finite difference approximations of distributed-system control problems
p. 346-354
The pivotal-condensation method for solving stiff boundary value problems for systems of linear difference equations
p. 355-370
The convergence to generalized solutions of difference schemes of the
p. 371-381
Numerical solution of the Riemann problem of analytic conjugation
p. 382-391
Approximate solution of singular integral equations with conjugations
p. 392-404
Problems on increasing the accuracy of programs for the trajectory analysis of intensive electron beams
p. 405-422
Problems of numerical modeling of stationary beams of charged particles
p. 423-437
Numerical computation of supersonic flow in a dihedral angle
p. 438-446
A method for calculating potential transonic flows in turbine blade cascades
p. 447-459
Asymptotic correctness of integral equations of electrodynamics using a thin-wire approximation
p. 460-464
The problem of the vibrations of a rotating stratified liquid excited by a planar disc
p. 464-470
Calculation of processes in a mixture of gases when there is a large concentration difference
p. 471-473
Konstantin Adol'fovich Semendyaev (obituary)
p. 474-475

Sommaire du Fascicule no. 4

Schemes for solving elliptic differential equations of order $2n$, $n\ge 2$, with incompatible curvilinear finite elements near the boundary
p. 483-496
New exact solutions of parabolic equations with quadratic nonlinearities
p. 497-506
A generalized method of mappings in static boundary value problems for domains with analytic boundaries
p. 507-520
A difference scheme on a non-uniform mesh for the equations of one-dimensional magnetic gas dynamics
p. 521-534
Numerical investigations of free electrical axisymmetric oscillations of an ideally conducting prolate spheroid
p. 535-553
On the small vibrations of a section placed at the boundary of separation between two stratified liquids
p. 554-564
On an initial-boundary value problem for a rotating liquid with a flow
p. 565-576
The small motions of a system of viscous rotating fluids when thermal convection is present
p. 577-588
A numerical method of designing an aircraft with a solid fuselage
p. 589-597
The flutter of a wing with an aileron in transonic flow
p. 598-603
The use of gradient methods to solve sparse nonsymmetric systems of algebraic equations
p. 604-608
Transition to chaotic behavior in a simple integral model of population dynamics
p. 608-614
Duality and dynamic programming in the control of simple motion
p. 614-616
Solution of a nonlinear inverse problem of magnetostatics by a regularization method
p. 617-621
A fully conservative particle algorithm for the Boltzmann equation
p. 621-626
Asymptotic behaviour of energy radiated by randomly positioned sources of oscillations
p. 626-627
On the acceleration of convergence of iterations with respect to collisions
p. 627-630
Estimate of the rate of convergence of the regularization method for solving the linear programming problem
p. 631-635

Sommaire du Fascicule no. 5

Aleksandr Andreevich Samarskiĭ (on the occasion of his seventieth birthday)
p. 643-644
New fast algorithms for systems with Hankel and Toeplitz matrices
p. 645-652
The use of robust methods to solve ill-posed problems
p. 653-661
On index commutativity in numerical differentiation
p. 662-674
The method of eigentransforms in different fields for computing cyclic convolutions and discrete Fourier transforms
p. 675-692
A variational-difference method of solving problems with functionals of linear growth
p. 693-708
Solution of the problem of optimal partitioning including allocation of the centres of gravity of the subsets
p. 709-722
The stability of high-speed optimal schedules
p. 723-731
Correctness of boundary value problems of the theory of momentless elastic shells with vanishing curvature
p. 732-746
Numerical studies of free and forced oscillations in a compressible fluid of closed elastic shells of revolution with positive moment
p. 747-764
Calculation of stationary subsonic and transonic non-potential flows of an ideal gas in axially symmetric channels
p. 765-774
An iterative method for solving an eigenvalue problem for a polynomial pencil of linear operators
p. 775-780
Generalization of the linear interpolation procedure
p. 780-783
A quadrature formula for the Fourier integral based on the use of a cubic spline
p. 783-786
Orthogonal projections and solution of algebraic Riccati equations
p. 786-791
Supersonic flow past a sphere in a gas with a periodic density structure
p. 791-793
Asymptotic behaviour of the energy for the solution of an evolutionary stochastic system of equations
p. 794-795

Sommaire du Fascicule no. 6

Iterative decomposition methods for solving systems of equations with a block-tridiagonal matrix
p. 803-812
Evaluation of angular Lamé wave functions by solving auxiliary differential equations
p. 813-830
Quadratic penalty methods based on linear approximation
p. 831-843
A method for the numerical simulation of unsteady gravity-capillary waves of finite amplitude
p. 844-852
A solvability criterion for a boundary-value problem of the transport equation and some consequences
p. 853-866
Calculation of the transport properties of polyatomic gases for an arbitrary non-equilibrium form of the flow
p. 867-877
On the development of the method of vortex particles as applied to the description of detached flows
p. 878-887
A high-accuracy version of Godunov's implicit scheme for integrating the Navier–Stokes equations
p. 888-901
Composite adaptive meshes in problems of mathematical physics
p. 902-914
Use of approximate-factorization method for calculation of a potential in semiconductor structures
p. 915-922
A numerical iterative method for solving regular elliptic problems
p. 923-934
Quadrature formulae for functions of several variables satisfying a general Lipschitz condition
p. 935-941
The properties of quadrature formulae used for the inversion of Laplace transforms
p. 941-944
The splitting method for solving stochastic differential equations that describe the diffusion process in a system of $N$ particles
p. 944-949
Iterative regularization of the approximation of the penalty method in a Hilbert space
p. 949-954
Johnson М. Е. Multivariate statistical simulation. N. Y.: Wiley, 1987. IX+230 pp. (Book review)
Riрlеу В. D. Stochastic simulation. N. Y.: Wiley, 1987. IX+237 pp. (Book review)

Sommaire du Fascicule no. 7

Approximation of solutions of singularly perturbed boundary value problems with a parabolic boundary layer
p. 963-977
An approach to the construction of a quadrature-difference method for solving singular integrodifferential equations
p. 978-986
Fractal dimensions: Computational problems
p. 987-999
Use of the conservative difference scheme for simulating processes in the high-current VHF-devices
p. 1000-1011
A new scheme of the projection method for studying circular corrugated waveguides
p. 1012-1022
The asymptotic solution of linearized problems on the natural and forced resonance oscillations of a medium of low viscosity
p. 1023-1035
A design problem in NMR-tomography
p. 1036-1044
The inverse spectral problem of the scattering of plane waves in a half-space with local inhomogeneity
p. 1045-1056
A second-order finite-difference scheme for calculation of three-dimensional supersonic flows of an ideal gas
p. 1057-1066
Invariant variational-difference schemes and conservation laws
p. 1067-1078
Finding the roots of $f(x)=0$ by expansion in powers of a parameter introduced into the equation
p. 1079-1083
The properties of quadrature formulas of the highest accuracy used for Laplace transform inversion
p. 1083-1087
An estimate for the rate of convergence of difference schemes for the first boundary value problem in elasticity theory in the anisotropic case
p. 1088-1092
Numerical investigation of non-stationary selfsimilar boundary-layer problems with a break zone
p. 1093-1098
Prudnokov A. P., Brychkov Yu. A., Marichev O. I. Integrals and series. Supplementary chapters. Moscow: Nauka, 1986. 800 pp. (Book review)
p. 1099-1100

Sommaire du Fascicule no. 8

A modification of the dynamic programming method for the travelling-salesman problem
p. 1107-1113
Equivalent definitions of conservative finite-difference schemes
p. 1114-1128
The flow of a floating fluid with the formation of standing waves over an uneven periodically varying bottom
p. 1129-1143
A method of solving the Cauchy problem for a class of equations in mathematical physics
p. 1144-1152
The problem of the flow of a non-uniformly heated viscous fluid
p. 1153-1158
Numerical-asymptotic analysis of transient processes in semiconductors
p. 1159-1167
A method for calculating magnetic fields in systems with an axisymmetric configuration of the ferromagnet
p. 1168-1174
An integral equation for a binary correlation function
p. 1175-1181
Asymptotic behavior of the solutions of a system of Maxwell equations
p. 1182-1194
The characteristic equation in radiation transport problems in extended cylindrical regions
p. 1195-1211
On coagulation models and the calculation of optical properties of aerosols
p. 1212-1231
Matrix methods for computing the values of a multivariable polynomial
p. 1232-1236
Explicit approximation by splines of the fifth degree with interpolation near the boundary
p. 1236-1241
On some stochastic models of rarefied gas dynamics
p. 1241-1244
New classes of stationary solutions of the Vlasov equation for an axially symmetric beam of charged particles with constant density
p. 1245-1250
The formation of a three-dimensional wave packet in the boundary layer on a plate for high Reynolds numbers
p. 1251-1255
The worst case for decision-making by a majority vote
p. 1256-1257
A numerical method for solving multipoint boundary-value problems for systems of ordinary differential equations
p. 1257-1258

Sommaire du Fascicule no. 9

The dependence of the rate of convergence of the method of discrete ordinates on the choice of the first node in the quadrature formula
p. 1267-1276
A difference scheme for a singularly perturbed equation of parabolic type with discontinuous coefficients and concentrated factors
p. 1277-1290
The solution of one class of convolution-type integral equations
p. 1291-1300
The convergence of quadrature-difference methods for linear singular integrodifferential equations
p. 1301-1307
Numerical solution of a scattering problem of a potential field for a system of screens with symmetry
p. 1308-1317
On the asymptotic forms of the solution of a system of diffusion–sorption equations with small diffusion coefficients
p. 1318-1330
Analysis of interface dynamics in the quasistationary Stefan problem
p. 1331-1345
The solution of problems in elasticity theory by complete-system methods
p. 1346-1353
Study of gas-flow stability in nozzles and diffusers
p. 1354-1366
Calculation of transonic flow past the after-part of a plane or axisymmetric body
p. 1367-1379
The substantiation of a scheme for the direct modelling of rarified gas flows
p. 1380-1392
Two-stage systems with nonfixed routes and resource constraints
p. 1393-1407
Regularization of criterial problems of the method of least squares
p. 1408-1413
Smoothing of input data in the solution of ill-posed problems
p. 1413-1418
The optimal effect of the method of tangents
p. 1418-1421
Optimal stabilization of discrete non-linear objects of high order
p. 1421-1426
Representation of the lattice of optimal solutions in the problem of submodular function minimization
p. 1426-1431
The accuracy of difference approximations and the regularization of optimal control problems for an elliptic equation with controls in the coefficients
p. 1431-1433
Averaging of the system of equations of elasticity theory in a thin periodically inhomogeneous layer
p. 1433-1434

Sommaire du Fascicule no. 10

Modified interval mean-value forms
p. 1443-1457
On the stability of the discrepancy method for solving operator equations of the first kind with perturbed operators
p. 1458-1465
Mean-square approximation of a rectangular matrix by matrices of smaller rank
p. 1466-1479
Inverse three-dimensional problems of radiation transport theory close to two-dimensional plane and cylindrical problems
p. 1480-1491
On a mixed finite-element method in problems of shell theory
p. 1492-1504
Convergence-improving transformations for some Schlömilch series
p. 1505-1513
Compact third-order approximations in algorithms for an incompressible fluid
p. 1514-1529
Calculation of the flow past a delta wing in the thin shock layer approximation
p. 1530-1537
Bifurcational indeterminacy and fluctuation of branch points under conditions of singular perturbation
p. 1538-1551
Invariant classification algorithms satisfying non-redundancy and monotonicity conditions
p. 1552-1564
Formulas for calculating estimates for recognition algorithms with support sets
p. 1565-1571
An algorithm for solving nonlinear monotone equations with unknown input data error bound
p. 1572-1576
An approximation method of solving Volterra–Urysohn integral equations with polynomial non-linearities
p. 1577-1581
A decomposition procedure for one class of block programming problems
p. 1581-1586
A method of solving one class of integer programming problems
p. 1586-1590
The Suitability of replacing the solutions of the Navier–Stokes equations by the numerical solution of Euler's equations
p. 1591-1593
Iterative aggregation in linearly quadratic control problems with cross couplings
p. 1594-1596

Sommaire du Fascicule no. 11

Reconstruction of patterns by regularization
p. 1603-1610
Rational solutions of linear differential and difference equations with polynomial coefficients
p. 1611-1620
Axisymmetric difference operators in an orthogonal coordinate system
p. 1621-1633
Grid selection in the variation-difference method for solving second-order elliptic equations with quasidegenerate quadratic form
p. 1634-1649
Minimax Monte-Carlo methods for solving integral equations of the second kind
p. 1650-1661
On the energy characteristics of a horizontal channel filled with a stratified fluid
p. 1662-1673
On the basis property of eigenfunctions of a waveguide cross section with flexible partitions
p. 1674-1687
Numerical analysis of the eigenfunctions for the combustion of a nonlinear medium in the radial-symmetric case
p. 1688-1704
Methods of solving non-stationary problems of the theory of radiation-conduction heat transfer
p. 1705-1713
A sequence for using algorithms for the approximate solution in the hybrid algorithm for solving the travelling salesman problem
p. 1714-1721
Realization of weakly defined Boolean functions by linearized disjunctive normal forms
p. 1722-1729
Stable numerical methods for solving systems of linear algebraic equations of general form
p. 1730-1734
A method of successive approximations for selecting the regularization parameter in the numerical solution of Ill-posed problems
p. 1734-1737
An estimate of the stability of interpolation of signals with a finite Fourier spectrum and a computational experiment
p. 1737-1740
An algorithm for the numerical solution of ordinary differential equations of second and higher orders
p. 1740-1741
Solution of one-dimensional nonlinear heat conduction problems on an isothermal mesh
p. 1742-1746
Decomposition of an arbitrary discontinuity for an elastic string
p. 1746-1751
Tables of coefficients for determining sixteen eigenvalues of Mathieu's differential equation with a real parameter
Modification of Greville's algorithm for removing columns (rows) when constructing a pseudo-inverse matrix

Sommaire du Fascicule no. 12

Two polynomial methods of calculating functions of symmetric matrices
p. 1763-1775
Approximate stochastic systems of linear algebraic equations
p. 1776-1787
Determination of optimal controls in a hierarchical system in the presence of external factors
p. 1788-1799
A method of solving stiff boundary-value problems based on operator splitting
p. 1800-1810
An estimate of the “shade” of additional boundary conditions for systems of difference equations with oblique characteristics of constant sign
p. 1811-1821
Difference schemes with domain decomposition for solving non-stationary problems
p. 1822-1829
The method of splitting for solving systems of time-dependent non-linear equations of the Schrödinger type
p. 1830-1838
Special integral equations of potential theory
p. 1839-1851
On the solutions of the inhomogeneous Benjamin–Ono equation
p. 1852-1862
Solvability of a system of nonlinear equations of quasichemical approximation of a lattice gas model
p. 1863-1872
On the asymptotic behavior of the solution of a problem on the breakdown of a semiconductor device
p. 1873-1884
Analysis of a difference solution of a fracture problem
p. 1885-1897
Numerical method for solving an eigenvalue problem for sparse matrices depending nonlinearly on the spectral parameter
p. 1898-1903
An algorithm for the numerical solution of an integral equation for the density of a simple layer potential
p. 1904-1907
An algorithm of computation of a polar Kirchhoff network of a large dimension