Geodesic

Sommaire du Fascicule no. 1

Relaxation method for the solution of a nonlinear ill-posed problem
p. 3-9
Uniform asymptotic expansions of incomplete Lipschitz–Hankel integrals
p. 10-16
Methods of control sequences in extremal problems in the presence of constraints
p. 17-34
Perturbed linear optimal control problems with phase constraints
p. 35-48
A projection and partitioning method for linear dynamic programming problems
p. 49-61
n-person games with an essential set of criteria
p. 62-72
Adaptive control in recurring games
p. 73-83
Convergence of spaces with a relation and game-theoretic consequences
p. 84-92
A class of singularly perturbed equations
p. 93-105
Methods for the digital simulation of stochastic differential equations and an estimate of their errors
p. 106-117
The method of fictitious domains for a second order elliptic equation with natural boundary conditions
p. 118-125
Convergence of the method of lines in the solution of equations of elliptic type with degeneracy
p. 126-138
Condensation of the nodes of the difference networks in the solution process, and the application of schemes of improved accuracy in the numerical study of viscous gas flows
p. 139-153
Integration of the equations of a hypersonic viscous shock layer by the method of successive approximation
p. 154-166
Extension of the Chapman–Enskog method to mixtures of reacting gases
p. 167-182
The completeness of a model of statistical recognition algorithms
p. 183-196
Recognition algorithms with a linear procedure for constructing the decision function
p. 197-210
The absolute recognition of objects in a class of algorithms
p. 211-217
The optimal regularization of convolution-type equations with approximate right side and kernel
p. 218-222
Determination of the periodic solutions of differential equations
p. 223-226
Construction of approximations of the solution of a nonlinear integral equation with an error estimate in heat and mass exchange problems
p. 226-232
Uniform approximation of the attainability set for a differential system by attainability sets for its multistep analogues
p. 233-235
A study of the stability of transportation problems
p. 235-240
Solution of the problem of siting regional information-computing centres by the method of successive calculations
p. 240-243
Computation of neutron distributions in composite heterogeneous nuclear reactor cells by the imbedded element method
p. 243-249
The properties of the solutions of the system of equations of the moment method for the computation of radiative transfer
p. 250-252
Spectra of plane Poiseuille flow and the problem of the solution of Navier–Stokes equations in the case of large Reynolds numbers
p. 252-258
Comparison of two methods for the computation of two-dimensional nonstationary gas flows based on a model problem
p. 258-263
Numerische methoden der approximationstheorie: L. Collatz and G. Meinardus (Eds.), Vol. 2, 199 p. Birkhäuser Verl., Basel–Stuttgart, 1975. Book review
p. 264-265
Systemtheorie: G. Wunsch. 236 p. Akad. Verl. Geest und Portig K.-G., Leipzig, 1975. Book review

Sommaire du Fascicule no. 2

Optimal regularization of equations of convolution type with random errors in the kernel and on the right-hand side
p. 275-283
Identification of a class of nonlinear operators
p. 284-293
Optimal calculation of integrals of rapidly oscillating functions
p. 294-301
An optimal method for the construction of the best uniform approximations for a certain class of functions
p. 302-313
Optimal search strategies for the global maximum of a function
p. 314-321
Construction of the characteristic function of a non-convex set and the related problem of quadratic integer-valued programming
p. 322-337
The support principle in a general extremum problem
p. 338-350
The solution of bilinear programming problems and finding the equilibrium situations in bimatrix games
p. 351-359
The two-stage stochastic programming problem of block type
p. 360-369
Error estimates in the substitution of the boundedness condition of the solutions for systems of linear ordinary differential equations with a regular singulari
p. 370-378
A regularizer in the space of continuous functions
p. 379-384
Application of the method of fractional powers of operators to the study of a two-dimensional difference system of Navier–Stokes equations
p. 385-393
Numerical investigation of skin-effect in a plasma column
p. 394-405
On the approximate description of slowing-down in the moderators without hydrogen
p. 406-419
Numerical simulation of some problems of compression of shells by laser
p. 420-444
Viscous flow around an elliptical cylinder
p. 445-457
Principles of the development of applied program packages for problems of mathematical physics
p. 458-467
The pattern recognition algorithm model of the potential function type
p. 468-479
On the question of the optimal number of nonasymptotic coefficients in the double reduction method
p. 480-483
On numerical methods for solving mathematical standardisation theory problems
p. 484-487
A stable method for interpretation of data of isotopic analysis
p. 487-490
Interpolational formulae sor some frequently used special functions
p. 491-494
A numerical construction of Ljapunov functions for difference equations
p. 494-499
A numerical scheme for time-dependent problems with non-stationary radiation transfer
p. 499-504
Numerical solution of a singular integro-differential equation of contact hydrodynamics
p. 504-506
On a scheme for the calculation of steady viscous gas flows
p. 507-508
On uniqueness “in the large” of the direct problem for the Laval nozzle
p. 509-512
A method of solving axisymmetric problems of the diffraction of electromagnetic fields
p. 512-516
A search for the maximum upper zero for certain subclasses of monotone Boolean functions
p. 516-519
Numerische behandlung von differentialgleichungen: 355 p. Birkhäuser Verlag, Basel–Stuttgart, 1975. Book review
p. 520-521

Sommaire du Fascicule no. 3

The condition of intermediate matrices for Gauss, Jordan and optimal elimination methods
p. 531-545
The correcting of the results of factorization by a modification of the nondegenerate quadratic matrix
p. 546-553
A case of asymptotic summability in a two-dimensional case
p. 554-562
An algorithm for the search for the maximum value of one-dimensional functions
p. 563-573
Discrete convergence of the approximations obtained by the multi-step method for the solutions of non-linear second-order boundary value problems
p. 574-581
Regularization by means of operators of Fejer type
p. 582-588
The system of Wiener–Hopf integral equations in a singular case as an ill-posed problem
p. 589-596
Regularization of a set of Pareto points
p. 597-602
Approximation conditions for max-min problems with connected sets
p. 603-613
Aggregation of a class of systems of integer equations
p. 614-619
Spline solutions of ordinary differential equations
p. 620-627
On an error estimate for the method of subregions
p. 628-633
Asymptotic behavior of the solutions of the Fredholm equation of the second kind with a small parameter
p. 634-641
The use of difference schemes in the solution of boundary value problems for differential inequalities
p. 642-652
Asymptotic stability of a difference boundary value problem
p. 653-659
The Green function of the Laplace operator in the plane problem with an oblique derivative with constant coefficients
p. 660-671
Approximation of functions of several variables by an antenna potential
p. 672-680
A numerical solution of a nonlinear self-consistent eigenvalue problem
p. 681-691
A method of solving critical problems
p. 692-697
Numerical methods for the construction of parameters of the orientation of a rigid body
p. 698-708
Recondensation monoatomic gas for small Knudsen numbers
p. 709-717
A new language for structured programming
p. 718-727
Local algorithms for the simplification of disjunctive normal forms of Boolean functions
p. 728-734
Methods for the choice of first approximation for optimization in a class of balloting algorithms
p. 735-742
Generalization of a class of algorithms for the calculation of estimates
p. 743-753
An iteration algorithm for the solution of systems of linear equations with a rectangular matrix
p. 754-756
A generalization of the “maximal cross section method” for distribution sampling
p. 757-761
Optimal approximation of nonlinear operators
p. 762-766
The method of consistent approximation for the solution of nonlinear operator equations
p. 767-769
On the question of the localization of temperature perturbations in media with volume heat absorption
p. 770-774
Numerical study of the behaviour of a discontinuous signal close to a caustic
p. 775-780
The approximation of discontinuous solutions by using through calculation difference schemes
p. 780-783
The problem of stationary free convection with nonlinear boundary conditions
p. 784-789
Computation of the irregular period of shock wave diffraction on a blunt body
p. 789-795
The minimization of the generalized error functional in recognition algorithms
p. 795-799
Geometric interpretation of indexed three-valued calculi
p. 799-803
Numerische behandlung von differentialgleichungen: Vol 2. Edited by J. Albrecht and L. Collatz. 276 p. Birkhäuser Verl., Basel–Stuttgart, 1976. Book review
p. 804-805
Problems, programs, processing, results. Software techniques for sci-tech programs: P. Quittner. 381 p. Akad. kiado, Budapest, 1977. Book review
Einführung in die Informatik: V. Claus. 254 p. B. G. Teubner, Stuttgart, 1975. Book review
p. 805-806

Sommaire du Fascicule no. 4

An iteration scheme for the solution of systems of linear algebraic equations by the finite element method
p. 819-829
A general method for the solution of transcendental equations
p. 830-845
Cubature rules with equal coefficients for the integration of functions over symmetric regions
p. 846-852
An explicit method for the approximation of functions of one and several variables by splines
p. 853-859
A method for the solution of the problem of the best rational approximation
p. 860-869
Fast inversion of the Laplace transform
p. 870-876
Quasi-Newtonian minimization algorithms that are based on the construction of systems of conjugate vectors
p. 877-885
Optimal strategies for seeking the domain of greatest values for a class of functions
p. 886-896
Dynamic consideration of compromise solutions in a many-sided conflict
p. 897-907
Construction of the set of effective strategies in a multi-criterion problem with importance-ordered criteria
p. 908-915
Approximation of the Bellman function by step functions
p. 916-927
Conditions for the aggregation of dynamical control objects
p. 928-934
Piecewise polynomial approximation in $W^1_2$ of functions from $W^2_p$, $1$
p. 935-942
The convergence of variational-difference methods for a nonlinear boundary value problem of the theory of flexible plates
p. 943-950
Counter methods and error estimation for the approximate solution in the problem of the bending of plates of variable thickness
p. 951-963
The computation of flows of a nonviscous gas in channels with a strongly changing cross-section
p. 964-973
A method of solving non-linear difference boundary value problems of the mechanics of a continuous medium
p. 974-986
Gradual acceleration and deceleration of a circular cylinder in the flow of a viscous incompressible fluid
p. 987-995
On the calculation of smooth stationary flows of an ideal gas by a method of third-order accuracy
p. 996-1006
Methods of recognition by systems of test-like base sets
p. 1007-1013
An optimal control problem for the development of a group of gas and oil fields
p. 1014-1019
Application of the regularization method to the solution of boundary value problems by the method of Green functions
p. 1019-1024
Solution of the Cauchy problem for a system of integro-differential equations
p. 1025-1028
Analytic solution of an integral equation of Fredholm type
p. 1029-1034
Modeling of Compton scattering by relativistic electrons by the Monte Carlo method
p. 1034-1037
Short-wave asymptotics of the Green function for an interval
p. 1038-1043
The Chapman–Enskog method for a chemically reacting gas mixture with internal degree of freedom
p. 1043-1048
Some problems of gas dynamics with sources
p. 1048-1056
On the solution of the spectral problem for a singular pencil of matrices
p. 1056-1060
On the tangent method
p. 1060-1061
Theory of difference schemes: A. A. Samarskii, 656 p. “Nauka”, Moscow, 1977. Book review
p. 1062-1063
Intgegral transformations of generalized functions: Yu. A. Brychkov and A. P. Prudnikov. 286 p. “Nauka”, Moscow, 1977. Book review
p. 1063-1064
Feld- und Potentialtheorie: P. Meinhold and G. Miltzlaff. 187 p. VEB Fachbuchverlag, Leipzig, 1977. Book review

Sommaire du Fascicule no. 5

An effective direct method for solving systems of linear algebraic equations by the finite element method
p. 1075-1082
The reduction of optimal control problems to finite-dimensional problems
p. 1083-1095
A method for calculating control in conflict situations
p. 1096-1102
A method of random search in constrained minimization problems
p. 1103-1111
A multistep method for generalized gradient descent
p. 1112-1118
A computational algorithm for a quadratic programming problem of large dimension
p. 1119-1128
The dual regularization of a linear programming problem given by a sequence of realizations
p. 1129-1138
Convergence of the interval shooting method
p. 1139-1145
A difference scheme for an ordinary differential equation with a small parameter
p. 1146-1153
A method for obtaining estimates for regions of attraction with the aid of Ljapunov functions constructed by a numerical method
p. 1154-1161
Conjugate families of difference schemes for equations of parabolic type with lowest terms
p. 1162-1169
Difference schemes for the Laplace equation in step-domains
p. 1170-1185
Some methods for the approximate description of the stationary flow of electrons in a vacuum diode
p. 1186-1195
A rigorous solution of the problem of the perturbation of two circular cylinders with longitudinal slits
p. 1196-1213
Asymptotic analysis of the structure of a semi-self-maintained volume gas discharge
p. 1214-1229
The Chapman–Enskog method for reacting gas mixtures with different velocities and temperatures
p. 1230-1242
The method of characteristics for calculating three-dimensional supersonic irrotational flows
p. 1243-1252
A numerical solution of the local asymptotic problem on the nonstationary separation of the laminar boundary layer in a supersonic flow
p. 1253-1265
The calculation of flow around blunt bodies of non-equilibrium gas mixtures based on Navier–Stokes equations
p. 1266-1274
A method for the analytic solution of two-dimensional boundary value problems for systems of elliptic equations
p. 1275-1282
Calculation of the equilibrium composition of a high-temperature gas
p. 1283-1290
A mathematical model of short-range forecasting of the state of the fishery industry
p. 1291-1299
The solution of infinite systems of linear algebraic equations
p. 1300-1302
Approximate calculation of the eigenvalues of a polynomial pencil of linear operators
p. 1302-1306
The error of approximation of a function of two variables by sums of the products of functions of one variable
p. 1307-1308
The rate of convergence of the method of equalization of maxima
p. 1309-1312
Error estimation for the method of dependent experiments
p. 1312-1316
A method for the modeling of the exponential distribution based on the properties of the Poisson process
p. 1316-1320
A soft spherical “cap” in the field of a plane sound wave
p. 1320-1324
Solution of the problem of the diffraction of an acoustic pulse by a wedge using wave potentials
p. 1324-1329
The stationary flow of an inviscid heat conducting gas
p. 1329-1335
Estimates of the eigenvalues of equations of the stability of a compressible boundary layer
p. 1335-1339
Application of smoothing operators in difference schemes of high order accuracy
p. 1340-1345
A local algorithm for finding the bicomponents in a directed graph
p. 1345-1349
Sparse-Matrizen. Eine Einführung mit Beispielen: U. Schendel. 150 p. R. Oldenburg Verl., München–Wien, 1977. Book review
p. 1350-1351
Topics in numerical analysis: Vol. 3. Ed. J. J. H. Miller. 477 p. Academic Press, London–New York–San Francisco, 1977. Book review
p. 1351-1352

Sommaire du Fascicule no. 6

On the justification of the choice of the regularization parameter based on quasi-optimality and relation tests
p. 1363-1376
An iterative method for the solution of an eigenvalue problem for a pencil of linear operators
p. 1377-1384
An estimate of the rate of convergence of difference-quadrature approximations of variational problems
p. 1385-1396
A principle for decision-making in the presence of random and indeterminate factors
p. 1397-1404
The method of iterative regularization in constrained minimization problems
p. 1405-1415
A dynamic programming algorithm in stochastic systems
p. 1416-1429
Standard iteration processes of nonsmooth optimization for nonstationary convex programming problems. I
p. 1430-1442
Methods of constructing suboptimal solutions of the multi-dimensional rucksack problem
p. 1443-1453
An estimate of the rate of convergence in $L_2$ of projection-difference schemes for parabolic equations
p. 1454-1465
A difference scheme for the solution of an elliptic equation with a small parameter in a region with a curvilinear boundary
p. 1466-1475
Construction of difference schemes with a positive approximation for equations of hyperbolic type
p. 1476-1492
Modification of the Monte Carlo method for the computation of local characteristics of radiation flux
p. 1493-1499
Determination of the energy spectrum of a Bose system by thermodynamic functions
p. 1500-1515
Applications of angular potential: integral equations for the plane problem with an oblique derivative for harmonic functions
p. 1516-1528
Determining the characteristic of evaporation
p. 1529-1538
The behavior of the solutions of a class of nonlinear boundary value problems with a free boundary
p. 1539-1548
A numerical method of solving the problem of the spread of a conservative admixture in a water course
p. 1549-1560
The package processing of systems of linear algebraic equations with sparse matrices
p. 1561-1570
Approximation of a partial Boolean function by a monotone Boolean function
p. 1571-1578
Determination of the complexity level of a linear classifier
p. 1579-1588
Numerical stability of a block triangular decomposition for a class of linear systems
p. 1589-1593
A note on the subject of the application of the least squares method to the solution of systems of equations
p. 1593-1595
The optimal approximations of functions by a finite number of their fourier coefficients
p. 1595-1599
A bi-cubic spline interpolation in polar coordinates
p. 1600-1602
On a necessary condition for the existence of a special solution of an integral equation of the first kind satisfying a specified constraint
p. 1603-1604
The analytic determination of the gradient of the target function when the state equations of the dynamical system are given in implicit form
p. 1604-1607
A generalization of the Godunov's method to computation of flows with a breaking
p. 1607-1612
Report on the Congress of the IFIP 77
p. 1613-1617