Geodesic

Sommaire du Fascicule no. 1

Some applications of the spectral resolution of matrices
p. 3-14
Regularizing algorithms based on the conjugate gradient method
p. 15-22
Optimal and quasi-optimal regularizing algorithms for solving stochastic integral equations of convolution type
p. 23-34
Construction of a Monte Carlo method for calculating Feynman integrals
p. 35-49
On correctness and numerical treatment of boundary value problems in differential-algebraic equations
p. 50-64
Numerical solution of external boundary value problems for elliptic equations
p. 65-71
The asymptotic integration of weakly nonlinear systems with partial derivatives
p. 72-79
Inverse problems of coherent optics. Focusing in a line
p. 80-91
The equation $\frac{\partial^2}{\partial t^2}[u_{xx}-u]+u_{xx}=0$ and some problems associated with it
p. 92-102
Construction of discrete vortex models of flows of an ideal incompressible fluid
p. 103-113
On vortex outflow through the permeable boundary of the computational domain of non-stationary subsonic flow
p. 114-129
Algorithms for walking along spheres
p. 130-134
Stabilizing properties of the gradient method
p. 134-137
Application of the gradient method to problems of optimizing systems with distributed parameters
p. 137-140
A difference solution of a one-particle Schrödinger equation with axially symmetric potential
p. 140-143
Numerical solution of two-dimensional problems of the pulse motion of floating bodies
p. 144-150
Extrapolational methods for calculation of a saddle point of Lagrange function and their application to problems with separable block structure
p. 150-151
Sufficient conditions for global minimum in partially convex problems with constraints
p. 151-152
A method for calculation of a simple-layer potential
p. 153-154

Sommaire du Fascicule no. 2

Approximation of a set of Pareto-optimal solutions
p. 163-176
A method for the parametric representation of objective functions in conditional multicriterial optimization
p. 177-189
Optimal weighted Monte Carlo methods
p. 190-197
The WKB-method for a nonlinear equation of the second order
p. 198-210
The Cauchy problem for the linearized Landau equation
p. 211-219
Effective algorithms for modeling neutron and gamma-quanta transport events by the Monte Carlo method
p. 220-229
A difference scheme for solving the two-dimensional transport equation of irregular tetragonal nets
p. 230-241
Determination of the coefficient of Helmholtz's equation from the boundary values of the solution
p. 242-253
A difference scheme for a nonlinear problem on the bending of a plate
p. 254-262
A modified local algorithm for discrete programming problems
p. 263-275
Probabilistic model of a committee of classifiers
p. 276-292
An algorithm for multiplying $3\times 3$ matrices
p. 293-294
Representation of the solution of a problem of propagation of a radio pulse in a nonconducting medium in integral form
p. 294-299
On the solvability of the problem of stationary heat convection with radiant convective heat exchange on the boundary
p. 300-305
On asymptotic solution of one model of the $(p-n)$-transition
p. 306-311
On employment of Lagrangian coordinates for simulation of light beams with strong spase deformations
p. 311-315

Sommaire du Fascicule no. 3

Corrections: “Pivotal-condensation algorithms for a $(2m+1)$-diagonal matrix”
Estimate of the effect of round-off errors on the accuracy of elimination of variables in systems of linear inequalities
p. 323-331
Regularizing properties of the conjugate gradient method for ill-posed problems
p. 332-347
A recursive algorithm for Padé–Hermite approximants
p. 348-356
An approximation-iteration method of polynomial approximation for the solution of the Cauchy problem for ordinary differential equations
p. 357-372
A method of accelerating iteration processes for the solution of difference equations
p. 373-380
An optimal single-step algorithm for maximizing twice differentiable functions
p. 381-397
A nonlinear elliptic problem with a complex spectrum of solutions
p. 398-407
Iterational methods of solving equations of gas dynamics
p. 408-416
Variants of semantics of inaccurate data and the approximate performance of programs
p. 417-429
Development of the Dantzig method in quadratic programming
p. 430-438
An approach to the analysis of improper linear programming
p. 439-448
Optimal design of information systems by the parameter evolution method
p. 449-457
An efficient algorithm for solution of systems of difference equations with a block-tridiagonal matrix
p. 458-461
Smooth approximation of Fermi–Dirac functions
p. 461-465
Finite approximations of the method of spherical harmonics with various orders in space subdomains
p. 465-469
A method for the nonlinear analysis of the sensitivity of mathematical models
p. 469-474
Apelblat A. Table of definite and infinite integrals. Amsterdam: Elsevier Scient. Publ. Co., 1983, X+458 p. (Book review)

Sommaire du Fascicule no. 4

Corrections: “On isobaric planar flows of a viscous incompressible liquid”
Aleksandr Aleksandrovich Abramov (on the occasion of his sixtieth birthday)
p. 483-484
Regularized nonorthogonal factorizations and pseudoinversions of perturbed matrices
p. 485-498
Calculation of the measure of incompatibility of operator equations of the first kind
p. 499-507
The method of successive approximations in optimal control problems with boundary conditions
p. 508-520
Asymptotic estimates for solutions of the time-optimality problem near breakaway points of an isochronous surface
p. 521-535
A scheme of iterative minimization methods
p. 536-544
The asymptotic of analytical solutions of the nonlinear Boltzmann equation
p. 545-551
On the spectral theory of a coaxial-waveguide resonator
p. 552-562
Convergence of difference schemes of gas dynamics in quasi-Lagrange variables
p. 563-573
Direct methods for solving systems of linear algebraic equations with parallel organization of computations
p. 574-585
Application of symbolic transformations on a computer for investigating the approximation and stability of difference schemes
p. 586-600
On the possibility of attaining high productivity in the solution of problems of mathematical physics using vector pipeline digital computers
p. 601-613
A numerical method for solving nonlinear two-point boundary value problems
p. 614-617
Solution of integral equations of the second kind with a stochastic kernel using the Monte Carlo method
p. 617-620
Calculation of transport collision integrals for a Lennard–Jones gas
p. 620-626
On the rate of convergence to the boundary of some versions of the spherical process
p. 626-631
One-dimensional integro-differential equations of problems of diffraction by screens
p. 632-636

Sommaire du Fascicule no. 5

Yurii Dmitrievich Shmyglevskii (on the occasion of his sixtieth birthday)
p. 643-644
Multiple eigenvalues in problems of optimization of spectral properties of systems with a finite number of degrees of freedom
p. 645-654
New variance estimates in the Monte Carlo method using an approximate weight function
p. 655-663
Computational implementation of a combined branch and bound algorithm for the travelling-salesman problem
p. 664-672
$2\pi$-periodic solutions of Duffing's equation
p. 673-685
A method for refining solutions of averaged systems of differential equations
p. 686-693
Convergence of a finite difference scheme for a nonlinear evolution equation
p. 694-702
The use of continuous integrals to determine the eigenvalues of the Fokker-Planck equation
p. 703-710
Methods of mathematical programming in problems of optimal antenna design
p. 711-722
Development of overheat instability in the plasma of a high pressure space discharge
p. 723-733
Vibrations of a stratified liquid in a basin of arbitrary shape
p. 734-755
Use of symbolic transformations for construction and investigation of difference schemes
p. 756-765
Regularization of systems of linear inequalities
p. 766-770
A two-sided method for solving the Cauchy problem
p. 771-776
The convergence of difference schemes for a biharmonic equation
p. 776-779
The solution of converse problems of subterranean hydromechanics by Tikhonov-regularizing algorithms
p. 780-783
The equation of the oscillations of a compressible rotating fluid and the spectral properties of the connected operator pencil
p. 783-789
Computation of a class of integrals with a logarithmic singularity
p. 789-790
Netz Н. Formeln der Mathematik. 5. Auflage völlig neu bearbeitet von J. Rast. München: Carl Hanser, 1983, XVIII+607 S. (Book review)
Szidarowsky F., Yakowitz S. Principles and procedures of numerical analysis. N. Y.-L.: Plenum Press, 1978, XII+331 p. (Book review)
Remark on the paper “On a decomposition scheme for the equations of gas dynamics” (a letter to the editor)
p. 793-794

Sommaire du Fascicule no. 6

Vladimir Mikhailovich Kurochkin (on the occasion of his sixtieth birthday)
p. 803-804
Multicriterial interpretation of a regularization method for ill-posed problems
p. 805-812
An asymptotic estimate of the average number of steps of the parametric simplex method
p. 813-826
Estimates for the rate of convergence of difference schemes for second-order variational elliptic inequalities in an arbitrary domain
p. 827-836
Application of the elimination method in the solution of strongly elliptic systems by the finite element method
p. 837-850
A difference scheme for nonstationary Maxwell equations in waveguide systems
p. 851-863
An inverse problem of linear radiative transfer theory
p. 864-881
The method of spherical harmonics for solving the radiation transfer problem in a plane-parallel atmosphere
p. 882-893
Diffraction of waves by a periodic structure consisting of oblique metal strips
p. 894-905
Algorithm for solving three-dimensional problems on non-stationary wave processes in condensed media
p. 906-913
On a numerical scheme for solving the Navier–Stokes equations
p. 914-923
Calculation of the explosion of a rapidly flying body
p. 924-933
Optimal linear information in the problem of reconstruction of the global maximum of a real function
p. 934-938
A method of search for a limit saddle point
p. 939-941
The rate of convergence of a difference scheme using the sum approximation method for generalized solutions
p. 941-946
An algorithm for calculating the reflection coefficients in problems of diffraction by smooth corrugated surfaces in inhomogeneous media
p. 947-950
A scheme for computing near-axisymmetric gas flow and supersonic flow past a cylinder end-face at a low angle of attack
p. 951-954
On one class of solutions of a homogeneous system of the Maxwell equations for an isotropic medium
p. 954-956

Sommaire du Fascicule no. 7

Correction: “Estimation of stability and the conditioning number of the set of solutions of a system of linear inequalities”
A polynomially stable fast parallel algorithm for tridiagonal systems
p. 963-969
The problem of the stability of the solution of an integral equation of the first kind in a weak compactum
p. 970-980
The use of orthogonalization of images of basis functions for regularized reconstruction of a signal
p. 981-993
Estimates of the rate of convergence of a method of seeking the most preferable element
p. 994-1005
The construction of $\varepsilon$-approximate algorithms for the optimization of functions in successively constructed sets
p. 1006-1018
Solution of a boundary value problem for an elliptic equation with small parameter multiplying the highest derivatives
p. 1019-1031
Derivation of limit functions for elliptic problems in thin domains using a computer
p. 1032-1048
Numerical solution of the inverse problem of the MHD-equilibrium of a plasma
p. 1049-1062
Uniqueness of the solution of two inverse problems for a Maxwell system
p. 1063-1071
Quasivariational inequality for a problem of the form of a dam
p. 1072-1080
Topology of two-dimensional selfsimilar motions
p. 1081-1095
A unimodular problem of integer programming
p. 1096-1099
An algorithm for solution of a nonlinear boundary value problem for ordinary differential equations in a domain of multivalence
p. 1099-1102
Numerical solution of a problem with an oblique derivative
p. 1102-1104
An estimate of the coefficient of reflection of a system of dielectric layers
p. 1105-1110
The problem of numerical reconstruction of a wave front from the distribution of intensity
p. 1110-1115
Axelsson О., Barker V. A. Finite element solution of boundary value problems: theory and computation. Orlando etc.: Acad. Press, 1984, XVIII+432 p. (Book review)

Sommaire du Fascicule no. 8

The parameter-extension method for an equation of the second kind with a Lipschitz-continuous and monotone operator
p. 1123-1131
Calculation of the zeros of a quasipolynomial using the argument-derivative method
p. 1132-1140
Vector Monte Carlo methods for calculating iterations of integral operator resolvents
p. 1141-1149
A class of convex programming methods
p. 1150-1159
Synthesis of one-product two-stage production-transport networks
p. 1160-1174
Convergence in the uniform norm of the Galerkin method for a nonlinear singularly perturbed boundary value problem
p. 1175-1188
Complex multidimensional structures of the combustion of a nonlinear medium
p. 1189-1205
Code for the calculation of accelerating structures
p. 1206-1214
A method for calculation of self-consistent potentials for a mixture of chemical elements
p. 1215-1222
On the non-stationary theory of internal waves
p. 1223-1233
A numerical algorithm for calculation of fields in layered media
p. 1234-1242
An algorithm for constructing a disjunctive normal form equivalent to the product of the left-hand sides of Nelson Boolean equations
p. 1243-1249
An asynchronous iteration method for solving nonlinear equations using parallel approximation of an inverse operator
p. 1250-1254
A method for generating pseudorandom normal numbers
p. 1254-1256
An algorithm of variable order and step, based on methods of Rosenbrock type
p. 1256-1258
Use of energy Lagrange coordinates for numerical solution of the one-dimensional heat equation
p. 1258-1262
On a method for constructing calculated meshes
p. 1262-1266
Calculation of ionization when modelling high-temperature hydrodynamic effects
p. 1267-1270
On existence and uniqueness of solution of energy and radiation transfer equations
p. 1270-1272
Methods for solving integral equations of potential theory
p. 1272-1273
General inequalities. I. Ed. Beckenbach E. F. Basel: Birkhäuser, 1978, 332 p.r SFr. 52 – (Internat. Ser. Numer. Math. Vol. 41). (Book review)
Marti J. Т. Konvexe Analysis. Basel: Birkhäuser, 1977, XI + 273 S. (Book review)
p. 1274-1275
Jablon С., Simon J. С. Applications de modeles numeriques en physique. Basel: Birkhäuser, 1978, 283 p. (Book review)

Sommaire du Fascicule no. 9

Necessary and sufficient conditions of regularizability for degenerate systems of linear algebraic equations using the shift method
p. 1283-1290
Estimation of the accuracy of the solution of an ill-posed problem by means of averaging functions
p. 1291-1307
Estimate of the residue of a cubature formula for some singular integral
p. 1308-1315
A method for the approximate aggregation of linear systems
p. 1316-1324
Linear correction of ill-posed convex-concave minimax problems on a maximin criterion
p. 1325-1338
A modified local algorithm for solution of block problems of discrete programming
p. 1339-1349
Calculation of eigenvalues of the Mathieu equation with a complex parameter
p. 1350-1361
Calculation of Green functions for elliptic equations
p. 1362-1369
Numerical modeling of the propagation of compensated electron flows in a bounded system
p. 1370-1380
Calculation of output characteristics of a continuous wave electro-ionization $\mathbf{CO}_2$-laser on the basis of a two-dimensional mathematical model
p. 1381-1391
Numerical modelling of two-dimensional gas-dynamic flows on a variable-structure mesh
p. 1392-1406
New algorithms for calculation of discrete Fourier transforms
p. 1407-1412
Approximation of vector fields
p. 1412-1415
On the diffraction of acoustic waves by an inclined half-plane in a stratified liquid
p. 1415-1418
Application of the method of integrating with respect to a perturbation parameter for calculation of a laminar boundary layer on a cylinder
p. 1419-1422
On the degeneracy of the necessary conditions of optimality in problems of synthesizing optical interference coatings
p. 1422-1427
A monotonic scheme of through computation based on an implicit algorithm of flux correction
p. 1427-1430
A graph-theoretic algorithm for construction of a committee of an incompatible system of linear inequalities
p. 1431-1432
Variational principles for the transport equation and the method of spherical harmonics
p. 1433-1434
Goering Н., Roos H.-G., Tobiska L. Finite-Elemente-Methode. Eine Einführung. Berlin: Akad. Verl., 1985, 193 S., 16,– M. (Book review)

Sommaire du Fascicule no. 10

Investigation of the well-posedness of an extremal problem
p. 1443-1454
Obtaining an approximate solution of a maximin with connected variables and of a multiple maximin
p. 1455-1467
Approximate solution of multicriterion problems with functional limitations
p. 1468-1481
Analysis of the properties of solutions of some nonlinear equations
p. 1482-1492
Numerical methods for solving a class of nonlinear integral and integro-differential equations
p. 1493-1511
Methods of deriving the equations of gas dynamics in the case of high-threshold reactions
p. 1512-1526
A statistical approach to the solution of the Boltzmann equation
p. 1527-1534
Justification of the modified incomplete projection method for problems of scattering by hydrometeors
p. 1535-1551
Optimal reduction of the number of equations in systems of Nelson type
p. 1552-1558
A method for synthesis of a correct pattern recognition algorithm for a given control sample
p. 1559-1566
Error accumulation in solving sparse systems of linear algebraic equations with dominant diagonal
p. 1567-1571
Numerical solution of singular integral equations in a class of singular functions and the problem of blowing of the flow in aerodynamics
p. 1572-1577
On the spectrum of a certain difference scheme on irregular networks
p. 1578-1583
The variational principle and canonical equations of electrohydrodynamics
p. 1583-1587
On local algorithms with variable neighbourhoods and indicator information
p. 1588-1591
Monotone Boolean functions and incompatible systems of inequalities
p. 1592-1596

Sommaire du Fascicule no. 11

On the occasion of the eightieth birthday of Andrei Nikolaevich Tikhonov
p. 1603-1604
Mathematical models and numerical experiment in problems of the reconstruction of signal functions from a finite set of data
p. 1605-1616
Calculation of directions of steepest ascent in discrete maximin problems of optimal design
p. 1617-1626
Asymptotic solutions of the Orr–Sommerfeld equation with a turning point of high order
p. 1627-1634
Asymptotic solutions of the Orr–Sommerfeld equation with a point of rotation of high order
p. 1635-1642
Application of a version of the method of superelements to solving a plane problem of the theory of elasticity
p. 1643-1653
Methods for solving implicit difference equations that approximate heat radiation transfer equations
p. 1654-1660
The convergence on a shock wave of continuous calculation difference schemes which are invariant with respect to similarity transformations
p. 1661-1678
Numerical method for inviscid gas flows in two-dimensional and axisymmetric sharp throat nozzles
p. 1679-1694
Training in structural pattern recognition
p. 1695-1703
Computation of supersonic three-dimensional inlet flow with passage shock wave
p. 1704-1718
Some universal restrictions for classification algorithms
p. 1719-1730
Quasioptimal choice of regularization parameter in the solution of nonlinear equations with monotone operators
p. 1731-1735
A numerical method for plasma hydrodynamic equations with unequilibrium ion composition
p. 1735-1739
Numerical comparison of various models for metal evaporation
p. 1740-1743
A mathematical model for the freezing of a water-saturated porous medium
p. 1743-1747
Exact estimates of the error gradient of projection-difference schemes for parabolic equations in an arbitrary domain
p. 1748-1751
Cylindrical Kelvin waves
p. 1751-1754
Numerical solution of the Cauchy problem by the Hermite spline collocation scheme
p. 1754-1755

Sommaire du Fascicule no. 12

Piecewise-Chebyshev approximation of experimental data
p. 1763-1772
Calculation of a special function of two complex variables
p. 1773-1787
An augumented penalty function method for solving a class of variational inequalities
p. 1788-1796
Some methods for solving a linearly quadratic programming problem for systems with distributed parameters
p. 1797-1812
Numerical solution of equations with power boundary layer
p. 1813-1820
Accuracy of the solution of a difference boundary value problem for a fourth-order elliptic operator with mixed boundary conditions
p. 1821-1830
A new difference method for the numerical solution of fourth-order parabolic equations
p. 1831-1838
The application of weighting schemes in the statistical modelling of flows of a multicomponent gas to the calculation of the structure of a shock wave
p. 1839-1854
On one method for solving self-consistent kinetic equations
p. 1855-1867
On the solvability of certain problems of supersonic flow around a wedge within the framework of the Lavrent'ev–Bitsadze approximation
p. 1868-1877
A method for calculating evolutionary discrete systems
p. 1878-1889
Numerical solution of nonlinear boundary value problems for ordinary differential equations
p. 1890-1895
A stable pseudospectral method for solving initial-boundary value problems
p. 1895-1900
A boundary element method for evaluation of radio-frequancy cavities
p. 1900-1906
Capacitance matrix method in numerical methods for elliptic equations