Geodesic

Sommaire du Fascicule no. 1

A method of solving non-linear equations, using a priori probability estimates of the roots
p. 3-12
Behaviour in the limit of iterations of the stochastic two-step method
p. 13-20
Estimation of a function from randomized observations
p. 21-28
On mesh-class-optimal methods of computing quadratures
p. 29-38
Duality relations for the convex optinal control problem
p. 39-50
Numerical determination with given accuracy of the optimal response time of a system
p. 51-60
A parametric method of linearization in mathematical programming problems
p. 61-72
Modelling of the space of paths in problems of constructing optimal trajectories
p. 73-82
Approximation of probability constraints in some production planning problems
p. 83-94
An inverse problem for a nonlinear differential equation
p. 95-101
On the uniqueness of the simultaneous determination of thermal conductivity and volume heat capacity
p. 102-108
Critical conditions and comparison theorems for difference solutions of nonlinear parabolic equations
p. 109-118
A difference scheme of second-order accuracy on a minimal pattern for hyperbolic equations
p. 119-126
Diffraction of internal waves in a stratified fluid by a semi-infinite wall
p. 127-134
Variation of the resistance of a tube when a viscous liquid containing solid bodies flows through it. The
p. 135-141
A numerical method of solving the radiation transfer equation in one-dimensional problems of radiation gas dynamics
p. 142-151
The maximum principle for a system of energy and nonstationary radiative transfer equations
p. 152-159
Calculation of space transonic flow past oblong bodies
p. 160-169
The statistical particle-in-cell method for multicomponent gases
p. 170-177
Isomorphism of pairs of admissible objects in pattern recognition problems
p. 178-183
Construction of a correct taxonomy algorithm in extensions of a class of pattern recognition algorithms
p. 184-190
Stability of a model of pattern recognition algorithms
p. 191-197
The algebraic closure of a family of separated algorithms
p. 198-205
Optimal decoding algorithm for certain classes of monotone functions
p. 206-212
Duality relations connected with Gaussian elimination
p. 213-216
An asymptotic relation for the iteratively regularized Newton–Kantorovich method
p. 216-218
On the rate of convergence of the minimization method along vectors in a given system of directions
p. 218-220
An estimate of the errors for the approximate solution of a Fredholm integral equation of the first kind
p. 220-221
A property of a multiplicative random number generator
p. 222-223
Numerical methods for a class of problems of optimal flow control on graphs
p. 223-227
A method of solving nonlinear two-point boundary value problems
p. 228-231
A method of computing the natural frequencies and fields of resonators and waveguides
p. 232-234
An axisymmetric problem of elasticity theory for a transversely isotropic inhomogeneous half-space
p. 234-239
On an application of the constructive method for solving non-stationary selfsimilar problems of boundary layer theory
p. 239-241
The influence of mathematical viscosity on the difference solution in problems of two-temperature gas dynamics
p. 242-245
The all-union school for young scientists: “Theoretical and applied problems of computational mathematics and mathematical physics”
p. 246-247

Sommaire du Fascicule no. 2

Svyatoslav Sergeevich Lavrov (on the occasion of his sixtieth birthday)
p. 259-260
A numerical method for solving systems of nonlinear equations by means of curvilinear descent
p. 261-266
Optimal algorithms for integration of convex functions
p. 267-277
Applications of parabolic $B$-splines for solving interpolation problems
p. 278-289
Local interpolation curve with a prescribed degree of smoothness which preserves the constant sign of curvature
p. 290-300
Some functionals, stable in the sense of A. N. Tikhonov, for multidimensional ill-posed problems
p. 301-306
Methods of finding the global minimum of a quasi-concave function
p. 307-313
Two modifications of the linearization method in nonlinear programming
p. 314-325
Application of Lyapunov's direct method for analyzing the age structure of biological populations
p. 326-332
Calculation of the asymptotics of “coefficients of intensity” in the coming together of corner or conic points
p. 333-346
On a certain class of implicit finite-difference schemes
p. 347-354
Estimates of the rate of convergence of difference schemes for fourth-order elliptic equations
p. 355-365
Balayage and averaging principles in the construction of algorithms of the Monte Carlo method for the solution of boundary value problems
p. 366-379
Nonstationary dissipative structures in a nonlinear heat-conducting medium
p. 380-390
Numerical solution of the self-consistent problem of the transport of several electron beams
p. 391-398
The method of orthogonal polynomials in linear transport theory
p. 399-412
Calculations of gas flow in the energy-release zone in a cylindrical explosion
p. 413-422
Numerical solution of equations of the dynamics of a viscous incompressible fluid with dispersible particles
p. 423-431
Application of flow theory to a problem of the dynamics of a viscous stratified fluid
p. 432-439
Analysis of programs and binary relations
p. 440-452
On the incompleteness of a model of algorithms for computing estimates
p. 453-466
Synthesis of a correct recognition algorithm as a minimal covering construction problem
p. 467-476
The problem of nonselfadjoint extension of the conjugate gradient method is closed
p. 477-479
Solution of variational inequalities with monotone operators by the regularization method
p. 479-483
Tabular methods for modeling discrete distributions
p. 483-488
Modelling the tail of a normal distribution
p. 488-493
Realizations of an approximate random quadrature formula
p. 494-498
An approximate method for calculating optimal values of threshold parameters in algorithms for calculating estimates
p. 499-501
On a model of estimate-computing algorithms
p. 501-504
W. C. Reynolds and R. W. MacCormack, Editors, Seventh International Conference on Numerical Methods of Fluid Dynamics, Lecture Notes Phys. Vol. 141, Springer, Berlin (1981). Book review
p. 505-506

Sommaire du Fascicule no. 3

Stability of the recurrent determination of matrix elements generated by products of orthogonal polynomials
p. 515-525
Optimization of methods of difference linearizations with inaccurate initial data
p. 526-535
Regular methods of calculation of $L$-pseudoinverse operators
p. 536-544
A best quadrature formula and its application to calculation of singular integrals with a Cauchy kernel
p. 545-557
Approximate models of random processes and fields
p. 558-566
Directional differentiability of the maximum function
p. 567-575
An algorithm for solving a class of discrete multicriterion problems
p. 576-589
Calculation of the conditional minimum of a function with a given accuracy
p. 590-601
Solving the linear complementarity problem through concave programming
p. 602-608
Difference scheme on a nonuniform grid for a differential equation with small parameter multiplying the highest derivative
p. 609-619
Numerical solution of an equation with a small parameter multiplying the highest derivative
p. 620-628
Singular Cauchy problems for systems of ordinary differential equations
p. 629-645
Difference solutions of a class of quasilinear parabolic equations. I
p. 646-659
An efficient method for the approximate solution of the Laplace difference equation on rectangular domains
p. 660-673
Direct statistical simulation of collisional relaxation in mixtures of gases with a large difference in concentrations
p. 674-680
Mathematical modeling of a production process
p. 681-692
The problem of a piston moving in a gas with energy sources
p. 693-701
Singularities of numerical solution of gas-dynamical problems with many interacting discontinuities
p. 702-712
A problem in scheduling theory
p. 713-718
The solution of recognition problems with information given by the enumeration of domains
p. 719-729
Approximate solution of operator equations of the first kind
p. 730-732
The possibility of analytic solution of some classical problems of diffraction theory
p. 733-737
Justification of the method of nonorthogonal series and the solution of some inverse problems of diffraction
p. 738-742
Explicit method of numerical solution of a problem of light wave propagation in nonlinear media
p. 743-748
Nonstationary regular reflection of a plane shock wave from a blunt body
p. 749-754
Lower bound for the number of inequalities representing a monotone Boolean function of $n$ variables
p. 754-756
A problem of organization of computer data processing
p. 756-759
Symposium on Mathematical Problems of Chemical Kinetics and Combustion
p. 760-761

Sommaire du Fascicule no. 4

An iterative method applicable directly to differential equations
p. 771-784
Polyspheroidal periodic functions
p. 785-797
Applicability of the method of nets and the method of lines to the solution of a class of problems of optimal control theory
p. 798-805
Admissible boundary conditions at an irregular singular point for systems of linear ordinary differential equations
p. 806-824
An accelerated method of computer calculation of a nonlinear oscillatory system
p. 825-830
Difference solutions of a class of quasilinear parabolic equations. II
p. 831-838
Numerical investigation of a partial differential equation
p. 839-847
A second-order monotone difference scheme for hyperbolic systems with two independent variables
p. 848-859
A relaxation method for solving a biharmonic difference equation
p. 860-871
An efficient algorithm for the variational-difference Dirichlet problem
p. 872-880
Iterative solution of some schemes of the finite element method for elliptic equations of order $2n$, $n\ge1$
p. 881-891
Difference schemes of projection type for symmetric systems of first-order equations
p. 892-900
A scheme for solving the equations of a viscous heat-conducting gas
p. 901-909
A method of solution of equations of radiation-conductive heat transport
p. 910-921
An ill-posed problem of crystal physics
p. 922-928
Synthesis of optical coverings in oblique incidence of light
p. 929-935
Application of the parallel-chord method to solve implicit difference equations of magnetohydrodynamics
p. 936-946
Numerical determination of the parameters in a highly entropic layer on bodies with slight blunting in a supersonic flow
p. 947-953
The $H$-theorem and Onsager principle for the stationary Boltzmann's equation
p. 954-964
The use of piecewise exponential functions in transport theory
p. 965-972
Computing algorithms for determination of the radius of stability in choice problems
p. 973-979
A correct model of recognition algorithms of bounded capacity, based on the concept of potential
p. 980-989
Growth of extradiagonal elements of a matrix in bordering methods
p. 990-991
An economical variant of the numerical inverse Laplace transform
p. 992-994
Analysis of the optimal control of oil expulsion by water
p. 994-999
Accuracy and dispersion of difference schemes
p. 999-1003
A recurrence algorithm for solving infinite sets of linear differential equations with a triangular matrix
p. 1003-1007
Interaction of a shock wave with a cylindrical resonator
p. 1008-1011
A pattern recognition algorithm in extended learning information
p. 1011-1015
Report on the BAIL II Conference
p. 1016-1017
Goldstine H. H. A history of the calculus of variations from the 17-th through the 19-th century. Berlin etc.: Springer, 1980, XVIII+410 p. Book review

Sommaire du Fascicule no. 5

Stable versions of the secants method for solving systems of equations
p. 1027-1040
A regular algorithm for finding the basis of the kernel of a linear operator
p. 1041-1051
An algebraic approach to the proof of turnpike theorems
p. 1052-1059
Numerical integration of the ordinary differential equations of non-isothermal kinetics using slow combinations
p. 1060-1071
On the global unsolvability of Cauchy problems for quasilinear parabolic equations
p. 1072-1087
Some methods of solving the first boundary value problem for the biharmonic difference equation
p. 1088-1097
Averaging of processes in frame constructions with random properties
p. 1098-1109
Solution of some non-linear evolutionary equations with boundary degeneration
p. 1110-1114
On the various mechanisms that generate a diffusion effect in the case of salt transport in soil
p. 1115-1124
The linear equation of multivelocity transport theory
p. 1125-1140
Mathematical modelling of non-stationary processes in plasma-optical systems
p. 1141-1157
Some inverse problems of oscillation theory
p. 1158-1167
The convergence of difference schemes for two-dimensional equations of acoustics and Maxwell's equations
p. 1168-1176
Solution of two-dimensional non-stationary problems of the dynamics of a radiating gas
p. 1177-1185
The marching method for solving simplified stationary Navier–Stokes equations
p. 1186-1198
Notes on the stability of a non-linear scheme for calculating the motion of a shock wave
p. 1199-1204
Calculation of the flows past blunt bodies taking radiation into account
p. 1205-1213
On complete conditional tests for tables with separated blocks of ones
p. 1214-1226
On the rate of convergence of the method of two-step gradient descent
p. 1227-1229
Optimal approximations in the eigenvalue problem for the Ritz and Bubnov–Galerkin methods
p. 1230-1233
Application of linear programming to non-linear problems with free boundaries for Laplace's equation
p. 1234-1238
Numerical solution of a three-dimensional analogue of the Goursat's problem
p. 1238-1240
A modification of Godunov's scheme with Euler variables
p. 1240-1244
A method of constructing computational meshes in domains with curvilinear boundaries
p. 1245-1249
Asymptotic form of solution of quasilinear parabolic equation in neighbourhood of front
p. 1249-1253
Solution by the Oseen scheme of a problem of flow around a body
p. 1254-1257
Comparison of methods for solving the diffraction problem for a step in a waveguide
p. 1257-1262
A problem of data processing organization in multiprocessor computing systems
p. 1262-1266
Partial decoding of monotonic Boolean functions
p. 1267-1271
Book review
p. 1272-1273

Sommaire du Fascicule no. 6

The critical level of discrepancy in regularization methods
p. 1283-1297
A modification of the generalized residual principle
p. 1298-1303
On an isolated eigenvalue of a matrix and the structure of the corresponding eigenvector
p. 1304-1313
Adaptive step regulation for a stochastic optimization algorithm
p. 1314-1325
On regularization of lexicographic problems by the method of minimum concessions
p. 1326-1340
Conditions for global non-existence and localizations of solutions of the Cauchy problem for a class of non-linear parabolic equations
p. 1341-1354
On difference schemes with artificial dispersion
p. 1355-1369
On the convergence of Rothe's scheme for some non-linear equations of evolution with singularities
p. 1370-1380
On a proof of the method of semi-inversion of matrix operators in diffraction problems
p. 1381-1391
The discrete spectrum of natural waves of a screened open slot line
p. 1392-1401
A doubly periodic problem of magnetostatics
p. 1402-1409
Restoration of the initial temperature from surface measurements
p. 1410-1416
On the use of iterative nethods when realizing implicit difference schemes of two-dimensional magnetohydrodynamics
p. 1417-1426
A method of calculating the stationary motion of relativistic electron beams in coaxial vacuum lines
p. 1427-1442
Conditions for the applicability and molecular-kinetic derivation of the equations of multitemperature multivelocity gas dynamics
p. 1443-1453
A spectral method of solving Boltzmann's kinetic equation numerically
p. 1454-1463
Asymptotic expansion for solutions for Stokes' system of equations and the system of the theory of elasticity in domains of special type
p. 1464-1476
On the differential operator of problems of the theory of momentless elastic shells with negative Gaussian curvature
p. 1477-1486
The synthesis of correct algorithms in the closure of recognition algorithms with representative samples and systems of supporting sets
p. 1487-1496
Solution of a system of linear equations in an integral ring
p. 1497-1500
The stability of the incomplete Galerkin method in problems of wave diffraction at a bounded body
p. 1501-1506
The rigorous solution of the two-dimensional problem of diffraction by a finite number of curvilinear screens
p. 1506-1512
Radiation in two-dimensional problems of radiative gas dynamics
p. 1512-1517
A conservative algorithm for solving the Boltzmann equation for a mixture of gases
p. 1517-1520
Calculation of the effect of a laser on a flat barrier and its vapour
p. 1520-1522