Geodesic

Sommaire du Fascicule no. 1

Research Computing Center of the Moscow University celebrates 35 years jubilee
p. 3-4
Calculation of functions of unsymmetric matrices using Arnoldi's method
p. 5-16
Approximation and regularization of optimal control problems for a non-selfadjoint elliptic equation with variable coefficients
p. 17-30
Numerical solution of two-point boundary value problems for retarded differential equations
p. 31-39
A high-accuracy three-point spline scheme
p. 40-51
Preservation of integral invariants for the numerical solution of systems of the form $\ddot x=K\dot x+f(x)$
p. 52-63
An iterative method for solving the Cauchy problem for elliptic equations
p. 64-74
On the stability of differencing schemes with smoothing operators
p. 75-85
A parallel algorithm for linear programming problems
p. 86-95
The design of waterflooding systems for oil fields by the methods of optimal control theory
p. 96-108
Application of S. A. Gabov's potentials in semiconductor physics
p. 109-121
On the choice of basis functions for the approximate solution of Peierls equations
p. 122-131
The problem of the thermal emission of a shell taking internal reflection into account
p. 132-142
The reduction of general Boolean functions to monotonic form
p. 143-150
An iterative algorithm for determining the regularization parameter in the method of least discrepancy estimation
p. 151-153
A method of approximating attainability sets for differential inclusions with a specified accuracy
p. 153-157
Numerical solution of a quasilinear second-order singularly perturbed equation
p. 157-161
New classes of solutions of a non-linear operator equation describing the steady flow of a floating liquid over an uneven bottom
p. 161-165
Recursive definition of the Green function of a difference equation
p. 166-169
Some metric properties of the space of classifications
p. 169-173

Sommaire du Fascicule no. 2

Numerical factorization of polynomials on the unit circle and the approximate solution of discrete Wiener–Hopf equations
p. 179-192
Local smoothing splines with a regularizing parameter
p. 193-211
Computation of radial wave functions for spheroids and triaxial ellipsoids by the modified phase function method
p. 212-234
Regularization of extremal problems
p. 235-248
Filling a difference scheme matrix for two-dimensional integral equations of potential theory
p. 249-260
The convergence of a quadrature-difference method for linear singular integro-differential equations with discontinuous coefficients
p. 261-271
Investigation of projection difference schemes for the Bona–Smith and the Burgers–Korteweg–de Vries equations
p. 272-285
An approach to the numerical solution of the bidimensional Navier–Stokes equations using the direct calculation method
p. 286-299
Calculation of steady-state three-dimensional flows of viscous gases and chemically reacting gas mixtures
p. 300-316
The multi-step method of minimal discrepancies for solving linear equations
p. 317-320
A variational-difference scheme for realizing the duality algorithm in problems of minimizing the generalized Trefftz functionals
p. 320-324
Unsteady oscillations of a viscous compressible fluid with spatially periodic excitation
p. 324-330
Numerical scheme for the boundary-layer equation with self-induced pressure
p. 330-333
Pavel Ivanovich Chushkin (obituary)
p. 334-335

Sommaire du Fascicule no. 3

Investigation of infinite-dimensional systems of linear algebraic equations of the second kind in wave guide diffraction problems
p. 339-352
A method for approximating the pseudogradient mapping of a linked-maximum function
p. 353-362
Regularization of unstable two-level problems of the standardization type
p. 363-371
Asymptotic estimate of the accuracy of the discrete spectral problem of a fourth-order equation
p. 372-380
Simulation of stochastic evolution equations in discrete bases
p. 381-387
On the method of mechanical quadratures for a Fredholm integral equation in an unbounded domain
p. 388-398
The space structure near a blow-up point for semilinear heat equations: A formal approach
p. 399-411
Calculation of spatially nonequilibrium transport of electrons in a gas-discharge plasma
p. 412-423
On the diffusion of impurities with long-range action
p. 424-435
Analytic solution of the Boltzmann equation with a collision operator of mixed type
p. 436-447
A regularizing quadrature formula for typical divergent integrals of the Green function method
p. 448-450
Estimating the number of interpolation points for Gaussian-type cubature formula
p. 451-453
Calculation of directional derivatives in max-min problems with linear constraints
p. 454-456
Basis of difference schemes with additional unknowns for the quasilinear Sobolev equation
p. 457-461
Peaking regimes in problems for the quasilinear equation of heat and mass transfer with convection
p. 462-466
Asymptotic form of spatially non-uniform structures in coherent nonlinear optical systems
p. 467-473
A cyclic method for channel routing
p. 474-477
Mikhail Vasil'evich Fedoryuk (obituary)
p. 478-479

Sommaire du Fascicule no. 4

A method for solving ill-conditioned systems of linear algebraic
p. 483-491
Extending the potentialities of matrix inversion procedures
p. 492-504
The $\lambda^{(n)}$-transformation and digital signal processing algorithms in the algebra of formal polynomials
p. 505-521
A second order numerical method for non-linear singular perturbation problems without turning points
p. 522-532
The asymptotic behaviour of the solution of a singularly perturbed two-dimensional problem of the
p. 533-542
On chaotization of oscillations of the combustion front of condensed systems involving melting
p. 543-550
On the construction of a conservative approximate problem on the decay of discontinuity for an equilibrium gas
p. 551-560
Principal scheme and numerical simulation of flows in a gas-dynamical opening with large pressure drop
p. 561-574
A rapidly converging method for solving the Euler equation
p. 575-591
The fundamental solution of the equation of internal waves and some initial-boundary value problems
p. 592-604
The problems of controlling the routing of connections in data transmission networks
p. 605-617
An asymptotic estimate of the accuracy of a discrete spectral problem
p. 618-622
Grid interpolation with a linear curvature-change rule
p. 623-625
A method for determining noise level using the discrete Lyapunov exponent
p. 625-629
A stochastic finite-difference algorithm for minimizing a maximin function
p. 629-633
Stability of periodic space flows of a viscous fluid
p. 634-638
Letter to the editor

Sommaire du Fascicule no. 5

A generalized maximum-likelihood method for solving finite-dimensional ill-posed problems
p. 643-653
On stable convergence of secant methods with projected updates
p. 654-662
Computational methods of optimal stochastic control. Optimality principle and successive-approximation optimization scheme
p. 663-680
The approximation of generalized stochastic gradients of random regular functions
p. 681-688
The conditions of applicability of an algorithm for solving two-parameter self-adjoint boundary-value problems
p. 689-697
On the convergence of difference schemes for the Kuramoto–Tsuzuki equation and reaction-diffusion type systems
p. 698-707
An existence theorem for solving a system of kinetic equations for a relativistic beam
p. 708-717
Numerical solution of a problem of the diffraction of electromagnetic waves by a three-dimensional inclusion
p. 718-734
Existence of chemical waves with a complex motion of the front
p. 735-744
On the problem of the oscillations of a rotating stratified fluid excited by a plane two-sided disc
p. 745-753
An implicit nonfactorized method for calculating turbulent flows of a viscous heat-conducting gas in turbomachine cascades
p. 754-766
On an iterational method for calculating sub- and transonic internal flows
p. 767-776
The minimum-residue principle in non-linear monotonic problems
p. 777-781
On the convergence of a quadrature-difference method for non-linear singular integrodifferential equations
p. 781-787
Computing singular solutions in elliptic boundary value problems
p. 787-790
On a solution of an iverse problem for internal vicous flows with a supersonic kernel
p. 790-793
The method of quasi-contractive mappings and its use for cluster detection
p. 794-799

Sommaire du Fascicule no. 6

An algorithm for inverting non-singular matrices with guaranteed accuracy
p. 783-789
Partially approximate systems of linear algebraic equations
p. 790-798
The solution of the continuous optimal decomposition problem with incomplete initial data
p. 799-809
An iterative method of solving two-stage discrete stochastic programming problems with additively separable variables
p. 810-818
A method of finding the eigenvalues and eigenfunctions of a self-conjugate differential problem
p. 819-831
A piecewise-constant approximation of the solutions of multidimensional weakly singular integral equations
p. 832-849
The dynamics of a spherical mixing zone in a stratified fluid and its acoustic radiation
p. 850-863
Regularization of a boundary value problem of diffraction by a semi-transparent grating of bars of arbitrary cross-section with Dirichlet boundary condition
p. 864-876
An exact solution of the relativistic Klein–Gordon wave equation
p. 877-886
A mathematical model of a varyzone semiconductor diode with re-emission
p. 887-900
Mathematical modelling of the propagation of intensively radiating shock waves
p. 901-921
Computing the eigenvalues of skew-symmetric matrices
p. 922-925
Stability estimates for solutions of some conditionally well-posed problems over a set of functions satisfying a Hölder condition
p. 925-929
Numerical implementation of the boundary-value problem method for the regularization of ill-posed problems
p. 929-933
An implicit approximation of the equations of motion of the Darwin's
p. 934-939

Sommaire du Fascicule no. 7

Algorithms for the finite-dimensional approximation of stabilizing
p. 943-952
Some possibilities of the method of operator splitting
p. 953-961
The method of optimal descent along basis elements for solving singular systems of linear algebraic equations
p. 962-969
Error bounds in the simple Lanczos procedure for computing functions of
p. 970-983
Interpolation, smoothing, and “outlier” detection based on the solution of integral equations of the first kind
p. 984-993
Using a computer to obtain strict bounds on solutions of differential equations
p. 994-1005
Asymptotic investigation of a diode model with strongly alloyed contact regions
p. 1006-1019
The diffraction of a longitudinal wave by a cylindrical cavity: Behaviour of the solution at large times
p. 1020-1028
Some functional inequalities and the rate of convergence of Markov chains to the boundary
p. 1029-1041
The invariant norm and asymptotic properties of a generalized quasi-gas-dynamic system
p. 1042-1050
An iterative-marching scheme for calculating the flow round three-dimensional surfaces at low supersonic velocities
p. 1051-1065
Investigation of an economic finite-difference method for the bidimensional equations of a viscous heat-conducting gas
p. 1066-1080
The efficient summation of Schlömilch series of cylindrical functions
p. 1081-1085
Tables of Hankel functions in the complex domain
p. 1086-1088
On the isoperimetric extremum of an eigenvalue
p. 1089-1091
Resonant properties of energy radiated by randomly-positioned sources of oscillations
p. 1092-1093
Solution of the Boltzmann equation for plane jet flow with condensation on a cryopanels
p. 1093-1099
Asymptotic solution of the system of equations of elasticity theory for rods, rod constructions and frame structures
p. 1099-1100

Sommaire du Fascicule no. 8

The conditions for the reducibility and canonical forms of Hamiltonian matrices with pure imaginary eigenvalues
p. 1123-1130
A modification of the conjugate-gradient algorithm for the stable solution of an ill-conditioned problem by the method of least squares
p. 1131-1145
Optimization of a Monte Carlo experiment on functionals in a Hilbert space
p. 1146-1159
Asymptotic optimization of nonlinear regularly perturbed control systems
p. 1160-1172
Parallel multiextremum optimization using a set of Peano curves
p. 1173-1185
The uniqueness of the solution of an inverse problem for the wave equation
p. 1186-1191
Economic methods for calculating surface potentials of simple and double layers
p. 1192-1200
The theory and accurate solutions of problems of the slip of a binary gas along a plane surface
p. 1201-1210
Stability estimate in the Skorokhod metric for the dynamical seismic exploration problem
p. 1211-1222
Numerical investigation of two-dimensional potential flow of an ideal fluid using the Schwarz–Christoffel integral
p. 1223-1230
Construction of the convex hull of a finite set of points using triangulation
p. 1231-1242
Modification of the Fedorov-Wynn procedure for determining the elliptic span of a given system of vectors
p. 1243-1250
Generation of interpolation curves for nonstandard combinations of derivatives on the ends of closed interpolation intervals
p. 1251-1254
Some analogues of Morrow–Patterson cubature formulas
p. 1254-1257
Tables of spherical Bessel functions of the third kind in the complex domain
p. 1258-1260
Computation of Fermi–Dirac functions
p. 1260-1263

Sommaire du Fascicule no. 9

A multigrid method for solving variational inequalities
p. 1267-1277
Computation of a functional in a certain nonlinear problem using the adjoint equation
p. 1278-1288
Iterative regularization of a penalty method for an infinite-dimensional saddle-point search problem
p. 1289-1304
Methods for the numerical-analytical integration of differential equations
p. 1305-1319
On the asymptotic form of the solution of a parabolic equation with a singularly perturbed boundary condition
p. 1320-1327
Small-parameter asymptotic expansions of the solutions of some problems for parabolic equations
p. 1328-1337
Small-parameter asymptotic expansions of the solution of a degenerate problem
p. 1338-1343
An algorithm for solving parabolic evolution equations
p. 1344-1354
An efficient method for calculating the spatial flow around air intakes at transonic speeds
p. 1355-1368
Numerical calculation of the turbulent flow of a cold heavy gas in the
p. 1369-1380
Computation of radiating gas flow in axially symmetric nozzles of a given shape
p. 1381-1391
The construction of completely conservative difference schemes for the equations of the nonlinear theory of elasticity
p. 1392-1401
An efficient algorithm for multiplying a large circulant matrix by a column
p. 1402-1407
Individual and simultaneous determination of the zeros of algebraic polynomials
p. 1407-1410
The solution of the nonlinear eigenvalue problem in problems of mathematical physics
p. 1410-1414
Cubature formulas for functions periodic in some variables
p. 1414-1419
Solving the direct and inverse problems for internal supersonic viscous gas flow with volume heating
p. 1419-1423

Sommaire du Fascicule no. 10

The minimum pseudo-inverse matrix method: Theory and numerical implementation
p. 1427-1443
A version of the Levenberg–Marquardt algorithm for solving a non-linear least squares problem
p. 1444-1451
The optimal rate of convergence of the KP-method and some of its generalizations
p. 1452-1460
Two-level global and multicriterion search schemes
p. 1461-1475
Difference methods for first-order partial differential-functional equations with initial-boundary conditions
p. 1476-1488
Singular points of the solution of a system of Lorenz differential equations
p. 1489-1497
A grid approximation of singularly perturbed parabolic equations degenerate on the boundary
p. 1498-1511
The properties of the solutions of equations similar to the two-dimensional Sobolev equation
p. 1512-1525
Solution of the Neumann problem for Poisson's equation by the multigrid method in the three-dimensional case
p. 1526-1535
Quasisolution of vector problems of diffraction by screens based on iterative methods
p. 1536-1543
Fundamental solution of the equation of gravitational-gyroscopic wave equation and the solvability of the internal and external Dirichlet problems
p. 1544-1551
The conservation laws of gas dynamics in Lagrange variables
p. 1552-1562
A stochastic algorithm for solving an initial-boundary value problem for the Boltzmann equation
p. 1563-1571
Calculation of pseudosolutions of ill-posed stochastic linear algebraic equations
p. 1572-1575
An algorithm for computing a two-dimensional discrete Fourier transform with arbitrary order
p. 1576-1581
On the method of slow combinations for equations of chemical kinetics
p. 1581-1584
On the choice of an initial approximation in problems of the computation of the thermodynamic properties of substances
p. 1584-1587
A method of solving the problem of optimizing the operation of an industrial complex
p. 1588-1592
Averaging of a three-dimensional problem of elasticity theory for an inhomogeneous rod
p. 1592-1596
An algorithm for computing the potential of a simple random walk on a cubic lattice
p. 1596-1598
Deák I. Random number generators and simulation. Budapest: Akadémiai Kiadó, 1990. Book review

Sommaire du Fascicule no. 11

Andrei Nikolaevich Tikhonov (on the occasion of his 85th birthday)
p. 1603-1604
Some methods for numerical solution of continuous convex stochastic optimal control problems
p. 1605-1618
Solution of diophantine inequalities in problems of the synchronization of relaxation oscillations
p. 1619-1637
A partial truncation procedure in the partial domain method for computing the eigenvalues of the two-dimensional Laplace operator
p. 1638-1654
Approximate solution of the modified Dirichlet problem
p. 1655-1669
The construction of regular grids on $n$-dimensional surfaces
p. 1670-1683
The finite element method in the problem of diffraction by a periodic structure
p. 1684-1691
Symmetric and asymmetric splitting schemes for the equations of gas dynamics
p. 1692-1705
Flow separation and the non-uniqueness of the solution of the boundary layer equations
p. 1706-1715
Asymptotic form of the upper branch of the neutral curve at subsonic and transonic velocities of the external flow
p. 1716-1730
Minimization of the weighted sum of overdue customers in a single-server system
p. 1731-1739
The solution of infinite systems of linear equations by the reduction method
p. 1740-1745
Local polynomial splines with displacement
p. 1745-1749
Spectral equivalence of difference scheme matrices for two-dimensional integral equations of potential theory
p. 1749-1754
Development of wave packets in a three-dimensional boundary layer
p. 1754-1759

Sommaire du Fascicule no. 12

Numerical algorithms for linear time-optimal controls
p. 1763-1771
Dynamic programming method for a standardization problem with a piecewise-linear objective function
p. 1772-1782
A parametric stochastic optimal control problem
p. 1783-1797
The accuracy of recognition for estimator-computating algorithms
p. 1798-1807
Grid approximation of a singularly perturbed boundary-value problem for a quasi-linear elliptic equation in the completely degenerate case
p. 1808-1825
On an inverse problem of technology and the uniqueness of its solution
p. 1826-1834
On the correctness “on the whole” of certain inverse transport problems in a multizone space
p. 1835-1848
Statistical modelling of the surface discharge of a gas into the approach stream
p. 1849-1857
Optimization of the spatial shape of load-carrying bodies of small elongation at hypersonic velocities
p. 1858-1870
The search of a maximum upper zero of a monotone function on ranked sets
p. 1871-1884
An algorithm for the parametric search of elliptic $I$- and $S$-hulls of a convex compact set
p. 1885-1896
The biorthogonal algorithm as the Lanczos method in a metric with indefinite sign
p. 1897-1899
The minimax problem of $M$-travelling salesmen
p. 1899-1905
The approximate solution of a pseudoparabolic equation
p. 1906-1911