Geodesic

Sommaire du Fascicule no. 1

Evaluation of prolate spheroidal function by solving the corresponding differential equations
p. 3-18
Solution of boundary value problems of the theory of generalized
p. 19-36
Parametric trajectory problems
p. 37-46
Projection-difference schemes with splitting operator for parabolic equations with singularities in the coefficients
p. 47-52
Integro-difference method of solution of the Dirichlet problem for
p. 53-64
The method of parametric correction of difference schemes
p. 65-74
Variational principles for the transport equation and their
p. 75-91
Solution of the transport equation in a three-dimensionally
p. 92-108
Free oscillations of an ideal stratified fluid in a vessel
p. 109-123
Stability of magnetohydrodynamic tangential discontinuities
p. 124-131
Numerical solution of the equations of a three-dimensional mixing
p. 132-139
Об одном вычислительном эксперименте, моделирующем климатические последствия ядерной войны
p. 140-144
Solution of a system of linear inequalities by the least squares
p. 144-148
Minimization of the dispersion of an estimate by collisions in problems with elements with alternating signs
p. 148-152
An active method of searching for the global minimum of a concave function
p. 152-156
Complexity of approximate algorithms for solution of the integer
p. 157-161
Exact solution of systems of radiation transport equations with discontinuity on the boundary between two media
p. 161-163
Efficient multiplication of Boolean equations
p. 164-166
A class of functions of $k$-valued logic
p. 167-169
VIII All-union school of young scientists for solving problems of mathematical physics>>
p. 170-171
Book reviews

Sommaire du Fascicule no. 2

Stable numerical methods for solving simultaneous systems of linear algebraic equations
p. 179-186
Beta and gamma methods of simulating binomial and Poisson distributions
p. 187-193
On the rate of convergence of the Bubnov-Galerkin method for eigenvalue problems
p. 194-202
Necessary and sufficient conditions for $P$th order optimality
p. 203-209
Differential properties of the maximum function under connected constraints
p. 210-217
Method of virtual contacts
p. 218-239
Local Lipschitz boundary estimates for solutions of second-order parabolic equations with nonnegative characteristic form
p. 240-253
Iteration processes for problems of transport theory
p. 254-260
An inverse problem of the linear theory of radiation transport
p. 261-271
Method of calculation of a field of steady elastic vibrations in a layered medium
p. 272-286
An a priori monotonicity condition for heat flux on the boundary
p. 287-293
A difference scheme for calculation of time-dependent
p. 294-304
The rate of convergence of an iteration method for the solution of equations containing monotone operators
p. 305-308
An inverse problem for the Helmholtz equation in a domain with unknown boundary
p. 309-314
Note on the calculation algorithm by the Monte Carlo method of the non-stationary light field from a narrow-beam source
p. 314-316
The thermonuclear tokamak-devices inductor calculation by regularization method
p. 317-319
A difference algorithm for solution of equations of a boundary layer
p. 320-323
Application of the regularization method for the numerical solution of
p. 323-328
Book reviews
p. 329-330

Sommaire du Fascicule no. 3

Numerical solution of some algebraic problems arising in the theory of stability
p. 339-347
The stochastic quasigradient method of solution of optimization problems in Hilbert space
p. 348-362
Functional properties of stable difference schemes
p. 363-373
The subsidiary net method for numerical solution of problems with a moving phase boundary
p. 374-382
Majorant estimation for a one-dimensional linear hyperbolic equation
p. 383-388
Investigation of the difference method for the Bona-Smith and Burgers-Korteweg-de Vries equations
p. 389-402
The realization of the matrix double sweep method for problems of line flooding
p. 403-413
Numerical analysis of beam equations in a curved cylinder
p. 414-427
On the calculation of space-time distribution of charged particles in gas discharges
p. 428-434
Radiative heat exchange in a shock layer in spatial flow around blunt bodies
p. 435-441
Calculation of discontinuous waves by the method of characteristics with constant net
p. 442-447
Algorithms for computing estimates in the case of incomplete information
p. 448-457
The rate of convergence of some iteration processes
p. 458-461
Nonlinear effects in the process of evolution of thermal structures
p. 462-467
The Cauchy problem for a class of motions of a viscous stratified fluid
p. 467-471
The numerical solution of positive ion beam current amplification problem
p. 471-475
Book review

Sommaire du Fascicule no. 4

Degree of solvability and exactness of the solution of an ill-posed problem for a fixed level of error
p. 483-490
Solution of a bifurcation equation with a simple eigenvalue
p. 491-496
Quadratic forms nonnegative on the orthant
p. 497-503
Some modifications of the shooting method for the solution of nonlinear two-point boundary value problems
p. 504-513
Path estimation in weighted Monte Carlo methods
p. 514-519
A class of completely conservative difference schemes of magnetohydrodynamics in mixed Euler-Lagrange variables
p. 520-533
Transport in the one-dimensional natural field of a density-homogeneous but velocity-inhomogeneous beam
p. 534-548
A nonstationary model of isotachophoresis
p. 549-565
Calculation of preconditions of programs
p. 566-578
On the completeness of the algebraic closure of the space of recognition operators with test support sets
p. 579-586
On recognition by the method of localized functions
p. 587-598
On the definition of stiff differential problems
p. 599-601
A factorization of elements of an inverse matrix
p. 601-605
Asymptotic rate of convergence of the method of steepest descent in eigenvalue problems
p. 605-607
Multistep stochastic $\varepsilon$-subgradient method of minimization of a convex function
p. 608-611
On the solution of nonlinear problems
p. 612-615
Solution of an inverse scattering problem in the linearized formulation
p. 615-619

Sommaire du Fascicule no. 5

Pivotal-condensation algorithms for a $(2m+1)$-diagonal matrix
p. 627-632
Necessary and sufficient conditions for convergence of approximations of linear ill-posed problems in a Hilbert space
p. 633-639
Interpolation by discrete parabolic splines
p. 640-649
Calculation of modified Bessel functions in the complex domain
p. 650-664
A class of iterative methods of solution of convex programming problems
p. 665-676
Solution of a mixed problem for equations of parabolic and hyperbolic type by the Monte Carlo method
p. 677-685
On some problems of optimizing the quasi-uniform heating of bulky components
p. 686-693
Generalization of Pomraning boundary conditions to $P_{N}$-approximation of the method of spherical harmonics for the transport equation
p. 694-708
Solution of a classical problem of electrostatics by means of a subtractive procedure
p. 709-721
Numerical investigation of certain dynamical problems of the mechanics of a deformable solid body by the grid-characteristic method
p. 722-739
Effective formulas for calculation of estimates in a class of recognition algorithms
p. 740-746
Realizability of lengths in trajectory problems
p. 747-753
On a posteriori error estimates when seeking an eigenvector
p. 754-756
Decomposition in a non-linear programming problem with a non-convex constraint
p. 757-759
An algorithm for the solution of ordinary differential equations for control computers
p. 760-763
On a nonlinear eigenvalue problem
p. 763-767
Well-posedness of a problem of profiling of a Laval nozzle
p. 767-771
The small parameter method for the numerical study of the flow of a stratified medium
p. 771-775
To.the computation of viscous flow in boundary layer approach
p. 775-780
The relation of linear inequalities to monotone Boolean functions
p. 780-781
Some relations for subsets of layers of an $n$-dimensional $k$-valued lattice
p. 782-786
Monotonic functions of many-valued logic and supermatroids
p. 786-790
Polyhedron of the problem of an $m$-vertex subgraph of a complete graph
p. 790-793
Book review
p. 794-795

Sommaire du Fascicule no. 6

Correction
Nikolai Nikolaevich Yanenko. 1921–1984
p. 803-805
Optimization algorithms optimal on a class in the presence of correlated noise
p. 806-822
The solution of some stochastic two-stage problems
p. 823-830
On non-contradictory extension of preference relations in decision-making problems
p. 831-839
Asymptotics of solutions of ordinary differential equations with turning points
p. 840-849
Asymptotic form of the solutions of ordinary differential equations with turning points
p. 850-863
Increasing the accuracy of solutions of difference schemes for parabolic equations with a small parameter multiplying the highest derivative
p. 864-875
Convergence of explicit schemes for the Navier–Stokes equations
p. 876-884
A new method of calculation of generalized multicenter single-electron integrals
p. 885-892
A spectral problem connected with oscillations of a viscous stratified fluid
p. 893-899
A numerical method of calculation of supersonic flow around aircraft wings
p. 900-915
On the construction of schemes of higher-order of accuracy in calculating flows of a viscous liquid using $B$-splines
p. 916-924
On a non-classical recognition problem
p. 925-931
Variational inequalities with monotone operators on sets that are given approximately
p. 932-936
A modification of the random walk over spheres algorithm which is
p. 936-938
Application of the local variation method to the solution of variational problems with deviating argument
p. 938-941
A dynamic method of minimization
p. 942-943
A marching method of calculating the flows of a viscous gas in channels
p. 944-947
Conservative difference schemes for the Fokker–Planck equation
p. 947-953
New books in Mathematics
p. 954-955

Sommaire du Fascicule no. 7

Variational-gradient method
p. 963-971
Computer realization of the method of Newton diagrams
p. 972-985
Two schemes of the nonlinear optimization method in extremal problems
p. 986-992
Approximation of a Pareto set
p. 993-1007
Numerical solution of the third boundary value problem for an equation with small parameter
p. 1008-1015
Asymptotic estimates of the Green function and the “difference step” in the case of Lipschitz-continuous coefficients
p. 1016-1029
Mathematical models of the quasi-steady-state regime of magnetic self-isolation in vacuum transport lines
p. 1030-1041
Sturm's solutions of the two-centre problem in quantum mechanics
p. 1042-1053
Scattering of two-dimensional elastic waves by a cavity with a free boundary
p. 1054-1065
Numerical modeling of long surface and internal waves in a closed slowly rotating basin
p. 1066-1078
An efficient method for synthesizing correct recognition algorithms
p. 1079-1086
The generalized residual principle for the solution of inconsistent equations
p. 1087-1090
One class of methods of unconditional minimization of a convex function, having a high rate of convergence
p. 1090-1093
A method of modelling exponential distributions transport theory
p. 1093-1096
Numerical computation of neutron field in a three-dimensional rectangular reactor cell
p. 1096-1101
Diffraction of the field of an electric dipole by a spirally conducting finite cone
p. 1102-1106
Setting in motion of a viscous fluid inside a two-dimensional cavity
p. 1106-1109
Consequences of carrying out programs, not connected with change of states
p. 1110-1113
Book review
Book review
p. 1114-1115

Sommaire du Fascicule no. 8

Regularization of the calculation of lower bounds of functionals
p. 1123-1128
The energy functional for the abstract Cauchy problem
p. 1129-1135
The Runge-Kutta method for calculation of Wiener integrals of functionals of exponential type
p. 1136-1149
Calculation of complex zeros of a modified Bessel function of the second kind and its derivatives
p. 1150-1163
On some estimates of the penalty coefficient in methods of exact penalty functions
p. 1164-1171
Regularization of discontinuous numerical solutions of equations of hyperbolic type
p. 1172-1188
On computation of modes with peaking in problems of heat conduction
p. 1189-1195
Numerical solution of boundary value problems for fourth order elliptic equations
p. 1196-1206
Numerical modeling of time-dependent periodic flow of a viscous fluid in the wake of a cylinder
p. 1207-1216
The nonlocal character of the behavior of dissipative structures
p. 1217-1229
On the cycles generated by an arbitrary set of matrix elements
p. 1230-1240
Retrieval of the maximum upper zero for minimizing the number of attributes in regression analysis
p. 1241-1249
On one criterion of the optimality of an algorithm for evaluating monotonic Boolean functions
p. 1250-1257
Remarks on the choice of regularization parameter from quasioptimality and relation tests
p. 1258-1259
Calculation of multidimensional integrals by means of evolutes of the type of Peano's curve
p. 1259-1263
A method of successive approximations of the Bellman function
p. 1264-1265
Two variants of the gradient method
p. 1265-1267
Asymptotic expansions of eigenfunctions of the discrete spectrum of the Coulomb two-center problem
p. 1267-1271
Behavior of a medium with weak diffusion for large time values
p. 1271-1274
Two-way estimations of solution of non-linear integral equation
p. 1274-1275
On optimal in class of nets regularized methods of quadrature restoration

Sommaire du Fascicule no. 9

Optimal choice of nodes in the approximation of functions by interpolation splines
p. 1283-1293
Minimax theory of Monte Carlo weight methods
p. 1294-1302
The problem of linear programming with approximate data
p. 1303-1311
Numerical solution of variational elliptic inequalities of fourth order
p. 1312-1319
Singularly disturbed elliptic boundary value problem in a rectangle in the critical case
p. 1320-1330
Uniqueness of the solution of the first boundary value problem in an unbounded domain for a second-order parabolic equation
p. 1331-1345
The construction of difference schemes with positive approximation for equations of parabolic type
p. 1346-1358
On the asymptotic error expansions to finite difference methods
p. 1359-1371
Approximate and numerical methods for calculating the composition of an equilibrium plasma
p. 1372-1380
Applicability of the reduction method in solution of algebraic systems in certain problems of diffraction
p. 1381-1391
Synthesis of recognition and classification algorithms by the covering method
p. 1392-1401
On computational schemes of the regularization method
p. 1402-1405
On a multiplicative generator of pseudorandom numbers
p. 1406-1408
A stochastic method for solving a boundary value problem
p. 1409-1412
A quasimonotonic difference scheme for a quasilinear equation
p. 1412-1417
Mathematical models of the skin effect under conditions of strong skinning
p. 1417-1423
Calculation of chemically non-equilibrium jets of gas flowing into a vacuum
p. 1423-1428
Methods of local optimization for the problem of permutating bipartite graphs
p. 1428-1432
Book reviews
p. 1433-1434

Sommaire du Fascicule no. 10

Methods of simultaneous determination of all roots of algebraic, trigonometric and exponential equations
p. 1443-1453
Two-step iteration regularization methods
p. 1454-1473
Regularization of ill-posed problems for solving one-dimensional convolution integral equations
p. 1474-1485
A method of solution of problems of best discrete approximation
p. 1486-1496
Calculation of complex zeros of Bessel functions $J_\nu(Z)$ and $I_\nu(z)$ and their derivatives
p. 1497-1513
The modelling of very long stationary Gaussian sequences with an arbitrary correlation function
p. 1514-1519
Efficiency of a modified local algorithm for solution of discrete optimization problems
p. 1520-1530
Algorithms for statistical modeling of the solution of boundary value problems of elliptic type
p. 1531-1537
Numerical solution of differential equations of elliptic type
p. 1538-1547
Diffraction of plane waves by a horizontal half plane in a compressible stratified fluid
p. 1548-1556
Calculation of pressure in two-dimensional steady-state problems of the dynamics of an ideal fluid
p. 1557-1564
Some algorithms for solving the covering problem, and their experimental study on a computer
p. 1565-1570
Convergence of the Kaczmarz projection algorithm
p. 1571-1573
Calculation of correlation characteristics of the field of brightness in a stochastic medium by the Monte Carlo method
p. 1574-1577
Accuracy of monotone schemes for stiff systems of differential equations
p. 1577-1581
Approximation of atomic wave functions and potential by functions of Gaussian type
p. 1581-1585
A two-criterion scheduling problem allowing for variation in job execution time
p. 1585-1590
The solution of systems of Boolean equations arising when constructing tests and systems of Nelson's type
p. 1590-1593
Book reviews
p. 1594-1595
Book reviw

Sommaire du Fascicule no. 11

The principle of quasioptimality for linear ill-posed problems in
p. 1603-1613
Two-step iteration regularization methods for the solution of ill-posed problems with a selfadjoint nonnegative operator
p. 1614-1628
On the problems of linear programming with interval coefficients
p. 1629-1637
The method of successive approximations in the problem of optimal control of a nonlinear parabolic system
p. 1638-1648
An approximate solution of a nonlinear boundary value problem with a small parameter multiplying the highest derivative
p. 1649-1656
Investigation of the method of nets for two-dimensional equations of the
p. 1657-1674
Anomalous thermal waves in plasma
p. 1675-1685
The determination of parameters in a model of the movement of salts
p. 1686-1693
Estimates for the rate of convergence of projection-difference schemes for parabolic equations in a domain with a small aperture
p. 1694-1703
Distance-transitive graphs of valency $5,\ 6$ and $7$
p. 1704-1718
Capacity of algebraic extensions of a model of estimate-computing algorithms
p. 1719-1730
Multiplication of a perforated matrix by a vector
p. 1731-1733
Some sufficient conditions for the nondegeneracy of matrices
p. 1733-1737
Optimal regularization of ill-posed normally solvable operator equations
p. 1737-1742
The Galerkin–Tikhonov method of regularization in the problem of numerical differentiation
p. 1742-1747
Numerical modeling of one-dimensional stochastic wave problems
p. 1748-1751
The problem of existence and questions concerning the representation of natural arithmetic graphs
p. 1751-1756
On a problem of non-linear programming for non-smooth performance functions

Sommaire du Fascicule no. 12

Estimation of stability and the conditioning number of the set of solutions of a system of linear inequalities
p. 1763-1774
A general approach to the reduction of a regular linear pencil to a pencil of quasitriangular form
p. 1775-1788
Minimization of multi-extremal functions having discontinuities
p. 1789-1798
Investigation of a class of production functions arising in a macrodescription of economic systems
p. 1799-1811
Numerical solution of a singularly perturbed equation with a turning point
p. 1812-1818
The solution of nonlinear stationary problems of thermal conduction with boundary conditions of the I-IV kind
p. 1819-1826
Investigation of the method of nets for two-dimensional equations of the Navier–Stokes type with non-negative viscosity. II
p. 1827-1841
A method of solving implicit difference equations approximating systems of radiation transport and diffusion equations
p. 1842-1849
Some equations that arise in the dynamics of a rotating, stratified and compressible fluid
p. 1850-1863
Existence of a solution of a direct problem of the Laval nozzle theory in variations
p. 1864-1870
Estimate-computing algorithms for the object recognition problem with continuous initial information
p. 1871-1880
Lower bounds of the capacity of $L$-dimensional algebras of estimate-computing algorithms
p. 1881-1891
Solution of linear ill-posed problems by the local residual method
p. 1892-1897
Automatic construction of systems with recurrence relations
p. 1897-1902
Closed sets of a directed graph
p. 1903-1906
Approximation of improperlinear programmin g problems using Euclidean norm criterion
p. 1907-1908