Geodesic

Sommaire du Fascicule no. 1

A projective algorithm for solutions of linear algebraic equations of large dimension
p. 3-10
The solution of ill-posed stochastic algebraic equations
p. 11-26
A locally quadratically converging method of conditional minimization using a modified Lagrangian
p. 27-37
Regularization of ill-posed problems of minimization in approximately specified sets
p. 38-50
Polynomial algorithms in linear programming
p. 51-68
Computing time and memory economies for different pivotal condensation methods
p. 69-76
A posteriori estimate for the inverse operator of a degenerate two-point boundary value problem
p. 77-83
Interpolational expansions of the solutions of second-order elliptic differential equations
p. 84-96
Uniform convergence of difference schemes of increased order of accuracy for Poisson's equation
p. 97-103
Iteration processes for a problem of stationary heat exchange in a system of absolutely black bodies
p. 104-111
A numerical method for solving systems of equations for the potential and charge carrier in semiconductors
p. 112-120
Symmetrization of an odd $P_{2N+1}$-approximation of a one-velocity transport equation
p. 121-132
Peculiarities in ill-posed problems which appear in investigations of motion of electrons in an electromagnetic field
p. 133-146
Analysis of a mathematical model of the design of a disk
p. 147-161
A completely conservative scheme of gas dynamics
p. 162-170
A completely conservative difference scheme for equations of gas dynamics in Euler variables
p. 171-181
The calculation of steady-state supersonic flows with nonequilibrium chemical reactions
p. 182-190
The conservative splitting method for the solution of a Boltzmann equation
p. 191-207
A differential operator of problems of the theory of moment-free elastic shells and their solution by the variational-difference method
p. 208-225
An elimination method for linear problems
p. 226-230
The norm of the error functional of a quadrature formula of the Gregory type
p. 230-235
An unconditionally stable difference scheme for parabolic equations containing first derivatives
p. 236-240
On a question of the optimal profile of an air foil in a flow of an ideal incompressible fluid
p. 241-245
Numerical solution of the problem of toroidal axially symmetric flows with a free boundary
p. 245-249
Numerical solution of a problem of irregular reflection of a weak shock wave from a rigid wall in an ideal gas
p. 249-254
Modern electrocardiology. Ргос. IVth Internat. Congress Electrocardiology, Balatonfüred, Hungary 20-23 Sept. 1977. Ed. Z. Antalóczy. Budapest, Akad. kiadó, 1978, XVII+ 567 pp. (Book review)
p. 255-257

Sommaire du Fascicule no. 2

An approximate method for solving the linear time-optimal problem
p. 277-288
A method of weakening the constraints in constrained extremum problems
p. 289-297
Monotonicity with respect to functional of an iterative algorithm for the block problem with random parameters
p. 298-305
The stability of a design process
p. 306-315
Mathematical analysis of a class of population dynamics models
p. 316-333
Difference schemes for quasilinear elliptic equations
p. 334-349
On the asymptotic stability of some efficient difference schemes
p. 350-358
A standard procedure for integrating a system of quasi-linear partial differential equations of hyperbolic type
p. 359-370
Application of exact difference schemes to the estimation of the rate of convergence for the method of lines
p. 371-387
Uniqueness theorems for some inverse problems of heat transfer
p. 388-400
A variational approach to the construction of difference schemes on curvilinear meshes for the heat-conduction equation
p. 401-421
On the rate of convergence of the projection-difference scheme with a splitting operator for parabolic equations
p. 422-432
Approximate solution of the theory of plastic flow for media subject to Coulomb's yield criterion
p. 433-450
Numerical investigation of the problem of a laser discharge in a dense gas
p. 451-460
Rigorous solution of the problem of plane wave diffraction by a periodic structure with impedance boundary conditions
p. 461-470
Singularities on wave fronts arising at diffraction on a polyhedron
p. 471-481
Additive representation of characteristics of layered media and questions of uniqueness of the solutions of inverse problems
p. 482-490
Numerical solution of direct and inverse problem of MHD-equilibrium with surface current
p. 491-500
On stable differentiation of functions
p. 501-505
Martin's algorithm and correct cutting planes for integer linear programming
p. 505-509
Construction of the maximum cube inscribed in a given domain
p. 510-513
Completely conservative difference schemes for a two-dimensional Landau equation
p. 513-517
On the problem of control of charged particle beams with account taken of their own charge
p. 517-522
Numerical solution of problems using integral equations for wave surface potentials
p. 522-528
Asymptotics of mathematical expectation of the number of steps of an $\varepsilon $-spherical process
p. 528-531
Problem of integral geometry for a family of curves in a circular annulus
p. 531-538
Some numerical results in the problem of the impact of a liquid drop on a solid surface
p. 539-543
News books in mathematics
p. 544-547

Sommaire du Fascicule no. 3

Vitali Arsenievich Ditkin (on the occasion of his 70th birthday)
p. 547-549
Some requirements of numerical programs for linear algebra
p. 550-561
An algorithm for analyzing the independence of inequalities in a linear system
p. 562-572
Iterative methods of perturbed pseudo-inverse operators for calculating generalized solutions of non-linear equations
p. 573-585
On the choice of regularization parameter when solving ill-posed problems in reflexive spaces
p. 586-596
Approximate calculation of eigenvalues with a parameter in the boundary conditions
p. 597-604
Acceleration of the convergence of the linearization method for a problem of conditional minimization
p. 605-614
Programming of direct integration methods for a multi-dimensional minimization problem
p. 615-622
Solution of a problem of integer-valued programming
p. 623-629
Formation of a vector criterion on the basis of a binary preference relation
p. 630-639
Stability of the solution of standardization and unification problems with respect to accuracy of approximation
p. 640-647
A problem of transformation of three-dimensional potential fields
p. 648-655
The method of boundary integral equations for the solution of nonlinear heat transfer problems
p. 656-663
A method of numerical solution of the Vlasov equation
p. 664-670
An algorithm for calculation of emission current density in a beam focusing problem
p. 671-681
A stochastic differential equation method for calculating the kinetics of a plasma with collision
p. 682-690
The scheme for computation of radiative transfer in moving and scattering gas
p. 691-702
Application of the splitting method to construct economical difference schemes
p. 702-715
On the numerical construction of shock fronts
p. 716-723
The construction of an optimal linear threshold decision rule
p. 724-736
The correctness of recognition algorithms of the potential function type
p. 737-744
Recognition of continuous curves in a class of biomedical experiments
p. 745-759
An iterative algorithm for the solution of a system of linear equations with a constraint on the norm of the solution
p. 760-762
Cases of divergence of the least squares method in the solution of nonlinear systems
p. 763-765
A modification of the gradient method for minimization of functions
p. 765-769
An optimal sampling method
p. 769-773
Error estimation in the multiparameter Monte Carlo method
p. 774-778
On the problem of being a basis property, for a system of metaharmonic functions in $L_2$
p. 778-781
Naturalness of boundary conditions in a variational method for solving boundary value problems
p. 781-786
Estimation of the difference between absorbed and radiated energy in radiative heat transfer problems
p. 786-790
On the calculation of non-equilibrium plasma flows by Godunov's method
p. 790-793
The choice of the initial divergent form of the equations for calculating axisymmetric flows by finite-difference methods
p. 793-800
A polynomial $\varepsilon$-optimization algorithm in the multidimensional knapsack problem
p. 800-802
A local algorithm for integral optimization problems
p. 802-804
New books in mathematics
p. 805-809

Sommaire du Fascicule no. 4

Regularization of nonlinear operator equations on the class of discontinuous functions
p. 819-826
A difference linearization method that is optimal with respect to the order of error of numerical differentiation
p. 827-840
Determination of the coefficients of the sum of exponential terms by the supplementary integral variables method
p. 841-848
Conditions for a minimum of a quasidifferentiable function on a quasidifferentiable set
p. 849-856
Unified approach to solving unconstrained minimization problems
p. 857-863
Dual regularization of linear programming problems
p. 864-873
Iterative methods for solving non-linear programming problems, using modified Lagrange functions
p. 874-888
On conditions for approximation of a lexicographical problem
p. 889-900
On the behaviour of boundary conditions moved to the neighborhood of a regular singular point
p. 901-908
On the solution of singular boundary value problems for nonlinear systems of ordinary differential equations
p. 909-922
Approximate solution of eigenvalue problems for high-order linear differential equations
p. 923-938
On the axially symmetric Cauchy problem for the Laplace equation
p. 939-947
Solution of a boundary value problem for an equation of mixed type in the presence of a discontinuity surface
p. 948-964
Application of Watson's method to a problem of the theory of waves on the surface of a heavy fluid
p. 965-978
Corrections to Fok asymptotics for a diffraction field near a surface of nonconstant curvature
p. 979-992
Kinetic equations of Landau type as a model of the Boltzmann equation and completely conservative difference schemes
p. 993-1004
Methods for the numerical solution of Navier–Stokes equations
p. 1005-1020
A monotone difference scheme for direct calculation
p. 1021-1031
On the question of the stability of a correct algorithm
p. 1032-1039
Two-stage gradient descent
p. 1040-1045
Iterative solution of equations that arise in compact approximation of operators
p. 1046-1049
A method of modeling a binomial distribution
p. 1049-1053
A new fast Fourier transform algorithm
p. 1054-1058
A numerical method for solving multidimensional integral equations
p. 1058-1062
The Ritz process in the construction of approximate solutions of problems of the theory of elasticity by the generalized Trefftz method
p. 1063-1066
Solution of the unsteady problem of the evolution of a discontinuity in a viscous heat-conducting gas
p. 1066-1070
Stability in bottleneck problems
p. 1071-1075
A method for the synthesis of planar disjunctive normal forms for logic functions
p. 1075-1077
Note on the paper “Convergence of spaces with a relation and game-theoretic consequences” (letter to the editors)
p. 1078-1079
R. D. Grigorieff. Numerik gewöhnlicher Differentialgleichungen. Band 1: Einschritiperfahren. Stuttgart, B. G. Teubner, 1972, 202 S.; Band 2: Mehrschrittverfahren, 1977, 411 S. (Book review)
Сh. Вlanc. Equations aux derivees partielles. Un cours pour ingenieurs. Basel–Stuttgart, Birkhäuser, 1976, 136 pp. (Internat. Ser. of Numer. Math. Vol. 34) (Book review)
P. J. Roache. Computational fluid dynamics. Albuquerque, Hermosa Publs, 1976, VII+446 pp. (Book review)
p. 1980-1081

Sommaire du Fascicule no. 5

The Computing Center of the USSR Academy of Science celebrates its 25 anniversary
p. 1091-1092
On the computation of special functions
p. 1093-1104
The structure of an optimal strategy in dynamical control systems
p. 1105-1116
Stability and regularization of optimality principles
p. 1117-1129
Methods and algorithms for analysis of linear systems of the construction of generalized attainability sets
p. 1130-1141
On a control problem in a two-level hierarchical system
p. 1142-1154
The calculation of eigenvalues and eigenfunctions of ordinary differential equations with singularities
p. 1155-1173
A nonstationary method for direct statistical simulation of rarefied gas flows
p. 1174-1204
Variational problems of gas dynamics
p. 1205-1220
Asymptotic methods in fluid dynamics
p. 1221-1248
Numerical methods in radiative gas dynamics
p. 1249-1265
Numerical investigations in rarefied gas dynamics
p. 1266-1283
Global attributes and their use in determining programming languages
p. 1284-1293
Recognition and classification problems with standard training information
p. 1294-1309
Decomposition in optimization of systems with elliptic equations
p. 1310-1319
The polynomial solvability of convex quadratic programming
p. 1319-1323
The problem of the optimal distribution of resources for a net model with linear constraints on the time for completing jobs
p. 1324-1328
The instability of stationary inhomogenous solutions of the Cauchy problems for a quasilinear parabolic equation and its ecological applications
p. 1328-1333
Numerical investigation of an incompressible viscous fluid flow about a body of finite size
p. 1333-1341
On numerical methods for solving the two-dimensional problem for Fokker–Planck equations
p. 1341-1346
Models of sets of sequences and program verification
p. 1347-1350
A recognition algorithm with threshold parameters
p. 1350-1353
All-Union school for young scientists applied problems of numerical mathematics>>
p. 1354-1355

Sommaire du Fascicule no. 6

On the 70th birthday of Anatolii Alekseevich Dorodnicyn
p. 1363-1364
Economical criteria for planning protection and regeneration of the environment
p. 1365-1372
Approximate systems of linear algebraic equations
p. 1373-1383
Questions about the formalization and solutions of a class of problems of discrete optimization
p. 1384-1399
Study of non-stationary gas flows with complex internal structure by methods of integral relations
p. 1400-1415
Numerical methods for solving multi-dimensional problems of mechanics and physics
p. 1416-1464
Implicit difference scheme for a numerical solution of three-dimensional equations of gas dynamics
p. 1465-1482
Approximation of boundary conditions in difference schemes
p. 1483-1499
Turbulent separation
p. 1500-1512
Calculation of the interaction of laser radiation with an aluminium vessel and its vapour
p. 1513-1524
Cone with small bluntness in a supersonic flow at an angle of attack
p. 1525-1535
Transonic flows of a multicomponent relaxing mixture through a laval nozzle
p. 1536-1553
Equations of gas dynamics
p. 1554-1563
Long-wave asymptotic behavior of the Green function of a wave problem on the surface of a stratified fluid
p. 1564-1579
Methods of computing the Riemann zeta-function and some generalizations of it
p. 1580-1597
A variational principle of gas dynamics
p. 1598-1600
The construction of difference schemes of increased order of accuracy for equations of hyperbolic type
p. 1601-1620