Geodesic

Sommaire du Fascicule no. 1

A method of solving large systems of non-linear algebraic equations of special structure
p. 3-10
Discrete convergence and finite-dimensional approximation of regularizing algorithms
p. 11-21
Regularization of non-linear integral equations of the convolution type
p. 22-28
Approximate evaluation of wiener continual integrals by the Monte Carlo method
p. 29-43
Convergence of methods of numerical approximation of the sets of attainability for linear differential systems with convex phase constraints
p. 44-55
A gradient method for the modified Lagrange function
p. 56-69
Methods for solving constrained extremum problems in the presence of random noise
p. 70-78
Computer experiments on solving integer linear programming problems by locally stochastic algorithms
p. 79-87
A second-order method for the discrete min-max problem
p. 88-98
Optimization of the non-linear systems of transport theory
p. 99-111
Standard iterative processes of unsmooth optimization for non-stationary problems of convex programming. II
p. 112-120
Stable iterative realization of some implicit methods of integration
p. 121-128
A strong extremum principle for weakly elliptically connected second-order operators
p. 129-142
Iterative methods for solving linear and quasilinear projection-difference analogs of fourth-order boundary-value problems
p. 143-155
Asymptotic expansions of the modified wave functions of an oblate spheroid
p. 156-164
A numerical method for solving Vlasov's system of equations, based on a combination of the particles in a cell and the “water bag” methods
p. 165-173
A moving-grids difference scheme for solving the equations of a viscous gas
p. 174-188
On cyclic sets
p. 189-203
An optimal corrector for a set of recognition algorithms
p. 204-215
An approach to the solution of pattern recognition problems
p. 216-222
On the convergence of Seidel's method for solving a system of linear algebraic equations
p. 223-228
Asymptotic behaviour of the $s$-dimensional optimal gradient method in Hilbert space
p. 228-232
Approximate evaluation of Cauchy type repeated integrals and their principal values
p. 232-238
The use of similar trajectories in Monte Carlo computations
p. 238-242
An economic method of computing LP$_\tau$-sequences
p. 243-245
Some possibilities for the reduction of rounding errors in the integration of ordinary differential equations
p. 245-248
The unique formation of conditions on the interior and exterior boundaries of the domain in the $P_{2N+1}$-approximation of the method of spherical harmonics
p. 248-252
Calculation of subsonic viscous gas flows in plane channels and wakes
p. 252-259
A version of the completely conservative scheme for the gasdynamic equations
p. 259-263
Letter to the editor
Proceedings of the Fifth International Conference on Numerical Methods in Fluid Dynamics. Eds. A. I. van de Vooren, P. J. Zandbergen. Book review
p. 264-265

Sommaire du Fascicule no. 2

Aleksandr Andreevich Samarskii celebrates his sixtieth birthday
p. 275-276
Some inequalities for the errors of approximate solutions of operator equations
p. 277-291
A method for the parametrization of optimal control problems
p. 292-303
Some methods of unconstrained minimization
p. 304-315
Stability of discrete processes with respect to specified variables, and the convergence of some optimization algorithms
p. 316-328
Hybrid penalty and stochastic gradient method for seeking a max-min
p. 329-342
A method of decomposition based on aggregation in block programming
p. 343-355
Asymptotic properties of some fixed-step methods of stochastic programming
p. 356-366
A library of programs for solving optimal control problems
p. 367-387
Solution of two dirichlet boundary value problems by the Monte Carlo method
p. 388-401
Mesh operators energy-wise equivalent to operators generated by piecewise hermitian extensions
p. 402-416
A finite-difference method of finding the coefficients of a hyperbolic equation
p. 417-425
On the direct method in problems of diffraction by smooth infinite wavy surfaces in inhomogeneous media
p. 426-443
The conditions for convergence of the particles-in-a-cell and stream tube methods
p. 444-457
Completely conservative difference schemes for a system of Landau equations
p. 458-463
Some exact solutions of the problem of a magnetic dipole surrounded by an infinitely-conducting fluid
p. 464-473
Calculation of the viscous laminar supersonic jet flow in a slipstream
p. 474-485
Numerical solution of the problem of spatial flow in turbomachines
p. 486-495
On the completeness of the linear space of recognition operators for the calculation of estimates and potential function types
p. 496-507
Some problems connected with the method of minimal residuals
p. 508-510
Estimation of the difficulty of simulating the process of “random walk on spheres” for some types of regions
p. 510-515
A polar coordinate method for the minimization of functions with a ravined structure
p. 516-519
The a priori determination of optimal variable values in discrete programming problems
p. 519-523
Modular problems of the mathematical theory of standardization
p. 523-527
An approximate computation of an optimal strategy in games with a fixed sequence of moves with incomplete information
p. 527-533
A numerical experiment on the solution of Neumann's problem and a problem with an inclined derivative when the solvability conditions are not satisfied
p. 533-540
A comparative investigation of some hydrodynamic compression processes
p. 540-545
An algorithm for calculating two-dimensional non-equilibrium gas flows
p. 546-550
Н. Goldstine. A history of numerical analysis from the 16th through the 19th century. Book review
A. Ostrowski. Aufgabensammlung zur Infinitesimalrechnung. Band I: Funktionen einer Variablen; Band IIA: Differentialrechnung auf dem Gebiete mehrerer Variablen. Aufgaben und Hinweise; Band IIВ: Differentialrechnung auf dem Gebiete mehrerer Variablen. Lösungen; Band III: Integralrechnung auf dem Gebiete mehrerer Variablen. Book review
P. Henrici. Applied and computational complex analysis. Vol. 2. Book review

Sommaire du Fascicule no. 3

The algebraic complexity of computing a family of bilinear forms
p. 563-580
Extension of Strassen's estimate to the solution of arbitrary systems of linear equations
p. 581-593
Construction of a normal solution of non-linear ill-posed problems by the method of regularization
p. 594-600
The synthesis of a multi-band electric filter
p. 601-609
Approximation with respect to a functional of maximin problems with connected variables
p. 610-621
Discrete convergence of multi-step methods in eigenvalue problems for ordinary second-order differential equations
p. 622-630
Solution of boundary value problems for linear systems of ordinary differential equations by the method of directed orthogonalization
p. 631-639
Mesh method for solving elliptic equations with discontinuous boundary conditions
p. 640-651
Angular potential for solving an elliptic equation with variable coefficients
p. 652-664
The convergence and accuracy of the method of macroparticles
p. 665-674
A method of solving boundary value problems for non-linear transport equations
p. 675-688
Investigation of some non-linear problems of filtering theory
p. 689-700
Theorems of the existence of a solution for the self-similar boundary value problem of a viscous hypersonic shock layer
p. 701-707
Boundary value problems for the St. Venant system of equations on a plane
p. 708-725
Construction of recognition algorithms correct for a given control sample
p. 726-738
A generalized “wave” method for solving extremal problems on graphs
p. 739-755
Some estimates connected with Euclid's algorithm
p. 756-760
Projective-iterative methods of solving operator equations
p. 760-765
A relation between the products of orthogonal polynomials
p. 765-767
An inverse problem of heat conductivity
p. 768-774
Asymptotic behaviour of the solutions of differential equations with a small parameter in Banach space
p. 774-776
The integral problem of the distribution of resources
p. 776-779
The leading edge of a body with a channel, flying at supersonic speed
p. 780-784
Extremal recognition algorithms using the potential function method
p. 785-787
A theorem on the local rank of one-place predicates
p. 787-790
New books in mathematics
p. 791-794

Sommaire du Fascicule no. 4

Matrix inversion and the solution of systems of linear and non-linear equations by the method of bordering
p. 803-810
Optimization of algorithms in mesh classes
p. 811-821
A non-linear regularizing algorithm and some of its applications
p. 822-829
On the stable summation of fourier series
p. 830-835
Pseudo-random numbers generated by linear recurrence relations over a finite field
p. 836-842
The limiting properties of a dynamic system with convex constraints
p. 843-850
Galerkin approximation of optimal control problems for parabolic systems with distributed parameters
p. 851-865
Optimal control of the natural frequency of a plate of variable thickness
p. 866-877
Piecewise linear approximation of a non-convex set by a polyhedron
p. 878-888
The penalty method for problems of convex programming
p. 889-895
Non-cooperative three-person games with fixed hierarchical structure
p. 896-911
Dynamic games with hierarchical vector of interests
p. 912-920
A method of estimating lower bounds for eigenvalues of differential operators by the method of fictitious domains
p. 921-936
Schemes of the finite element method of high orders of accuracy for second-order elliptic equations in three-dimensional regions — I
p. 937-949
A version of the finite element method
p. 950-960
The Monte Carlo solution of a boundary value problem for the metaharmonic equation
p. 961-969
Volterra linear integral equations of the first and third kinds
p. 970-988
On the solution of the integral equations of radiative transport
p. 989-997
Investigation of a class of solutions of the Low equation
p. 998-1014
The existence and uniqueness of the solution of boundary value problems in the theory of long waves on the surface of a rotating liquid
p. 1015-1022
Correct algorithms in the algebraic closure of a family of recognition algorithms with a special kind of information teaching
p. 1023-1032
Cubature formulas of the 9-th and 10-th degrees of accuracy for a sphere of $n$-dimensional space
p. 1033-1036
On the optimal statistical regularization of operator equations with a constraint on the norm of the solution
p. 1036-1040
On the principle of iterative regularization
p. 1040-1043
An increment method for the solution of the equation $Ay=f$
p. 1043-1047
The speed of convergence of projection methods for linear equations
p. 1048-1053
On the optimal control of the process of thermal blooming
p. 1053-1058
The use of the number of permissible solutions of the algorithmic equations for the purely integer linear programming problem
p. 1059-1061
The exact solution of the non-linear system of equations for the energy and nonstationary radiation transfer
p. 1061-1063
On the monotonization of finite-difference solutions for shock-capturing methods
p. 1063-1069
Numerical solution of the two-dimensional heat-conduction equation with strongly varying coefficients
p. 1069-1073
Book review
p. 1074-1077
Errata

Sommaire du Fascicule no. 5

The use of projection methods to solve unstable problems
p. 1091-1096
The convergence of a procedure for calculating an approximate solution in the generalized Kantorovich method
p. 1097-1106
Restoration of statistical dependences by averaged splines
p. 1107-1117
The use of non-parametric estimates for evaluating multi-dimensional integrals
p. 1118-1126
Some methods of unconstrained minimization
p. 1127-1133
A necessary condition for optimality of singular controls
p. 1134-1140
High-order schemes of the finite elements method for second-order elliptic equations in three-dimensional domains. II
p. 1141-1148
The solution of singular integral equations by approximate projection methods
p. 1149-1161
The angular potential for the operator $\Delta+c(x)$
p. 1162-1177
Approximate solution of the direct and converse problems of the propagation of a disturbance in a guiding medium
p. 1178-1187
Justification of the projection method for solving axisymmetric problems of diffraction by locally inhomogeneous bodies
p. 1188-1204
Asymptotic expansions of solutions of the Helmholtz equation in the neighbourhood of boundary corner points
p. 1205-1216
Asymptotic behaviour of quasi-eigenvalues of the Laplace operator in the case of the outside of a circular disc
p. 1217-1227
The numerical solution of a model selfconsistent electrodynamic problem
p. 1228-1236
Methods of calculating some quasi-stationary modes of operation of a nuclear reactor
p. 1237-1252
The computation of one-dimensional non-stationary problems of gravitational gas dynamics
p. 1253-1261
The solution of two-dimensional non-stationary problems of radiation gas dynamics
p. 1262-1275
The problem of an intense explosion in a rarefied gas
p. 1276-1287
“Romb”: An implicit finite-difference method for the numerical solution of the equations of gas-dynamics with heat conduction
p. 1288-1303
One-way infinite sequences in a graph and the optimal allocation of identical figures in an infinite narrow strip
p. 1304-1312
On methods of conjugate direction
p. 1313-1317
The recomputation of Holessky factorization
p. 1318-1319
Solution of a system of linear algebraic equations with an asymmetric matrix using a biorthogonal algorithm
p. 1320-1322
On the “linearization” of the products of classical orthogonal polynomials
p. 1322-1327
Eine zusammengesetzte Methode zur Simulierung der Poissonverteilung
p. 1327-1329
On a completely uniform distribution
p. 1330-1333
Solution of a system of linear equations with an incomplete circulant matrix by a discrete Fourier transformation
p. 1333-1336
The search for the minima of several unimodal functions
p. 1337-1340
Computation of the two-dimensional stationary equation of neutron transfer by the quasi-diffusion method
p. 1341-1343
A method of solving axisymmetric problems of the diffraction of electromagnetic waves by bodies of revolution
p. 1344-1348
Stability of the correct recognition algorithm with a special form of the teaching information
p. 1348-1351
New books in mathematics
p. 1352-1353

Sommaire du Fascicule no. 6

Choice of regularization parameter for non-linear ill-posed problems with approximately specified operator
p. 1363-1376
Storage and use of information when seeking minimum and root of functions of one argument
p. 1377-1386
Modification of a class of mathematical programming algorithms
p. 1387-1395
Decomposition in classical variational calculus
p. 1396-1413
Modifications and convergence of successive approximations for optimal control problems
p. 1414-1421
Prediction of the behaviour of processes with imperfectly known control
p. 1422-1435
The principle of guaranteed result for partial preference relations
p. 1436-1450
An approach to the comparison of solutions of parabolic equations
p. 1451-1461
Solution of the Hadamard problem by a Tikhonov-regularizing algorithm
p. 1462-1470
Comparison of exact and approximate solutions of a parabolic system of equations with degeneracy
p. 1471-1484
Some algorithmic features of the determination of relativistic electron trajectories in a self-consistent electromagnetic field
p. 1485-1495
Justification of a finite-difference method for analyzing optical waveguides
p. 1496-1505
Solution of the three-dimensional problem of the diffraction of electromagnetic waves using antenna potentials
p. 1506-1512
A method of solving radiation transfer equations in two-dimensional problems of radiative gas dynamics
p. 1513-1520
The exact evaluation of multicentre molecular integrals over hydrogen-like atomic orbitals
p. 1521-1531
The successive splitting of vertices of an $n$-dimensional unit cube into chains and decoding problems of monotonic boolean functions
p. 1532-1542
The correspondence of monotonic boolean functions to systems of linear inequalities
p. 1543-1554
Correct algebras over classes of algorithms for the computation of $k$-valued properties
p. 1555-1565
A set-covering problem: the combinatorial-local approach and the branch and bound method
p. 1566-1576
A two-level automated pattern recognition complex
p. 1577-1587
Solution of the generalized eigenvalue problem $(A-\lambda B)x=0$ by the $QZ$-algorithm
p. 1588-1590
On the incorrectness of the non-linear operator equation of the first kind in antenna synthesis theory
p. 1590-1595
Application of the continuation method to the solution of non-linear boundary value problems
p. 1596-1598
The mathematical expectation method for solving radiative transfer problems with plane geometry
p. 1598-1601
Analytic calculation of the invariant curve of the Chew–Low equations
p. 1601-1608
Numerical study of complex shocked gas flows
p. 1608-1614
New book on mathematics
p. 1615-1617