Geodesic

Sommaire du Fascicule no. 1

Asymptotic error estimates. III
p. 3-19
Optimal search of a root of a function that satisfies a Lipschitz condition
p. 20-29
Computation of the largest value of a function
p. 30-39
Uniform asymptotic expansions of certain definite integrals
p. 40-47
Stable simultaneous solutions in a certain class of recurrent games
p. 48-60
A search algorithm for the solution of a general mathematical programming problem
p. 61-71
Construction of the solution of non-linear difference equations in the neighbourhood of a fixed point
p. 72-82
Application of the Bazley–Fox method to two-dimensional second order elliptic equations
p. 83-101
A difference approximation of problems for an elliptic equation
p. 102-118
The solution of boundary value problems of finding eigenvalue by the method of fixing
p. 119-130
Iterative correction of eigenvalues
p. 131-139
The stationary variant of the flow method for solving problems of the mechanics of a continuous medium
p. 140-151
Cancellation of a field by a system of cylindrical radiators
p. 152-161
On the solution of two boundary value problems by the Monte Carlo method
p. 162-169
Estimation of the number of functions of the algebra of logic that can be realized by plane disjunctive normal forms
p. 170-188
The decipherment of certain classes of monotone multivalued functions
p. 189-198
The spectral characteristics of the description matrices of some recognition algorithms
p. 199-208
An approach to optimization in a class of parametric recognition algorithms
p. 209-218
The choice of nodes in the spline approximation of functions
p. 219-223
A difference Dirichlet problem with discontinuous boundary conditions
p. 224-228
The stability and domain of convergence of certain regularizing algorithms
p. 228-232
The error of certain regularizing algorithms
p. 232-237
The A. N. Tihonov regularization of a singular Cauchy integral
p. 237-242
The generalized gradient method for extremal problems
p. 242-247
Minimization of a convex function on the plane
p. 247-251
The problem of geometric programming without forced constraints
p. 251-256
Estimation of the sample length in the solution of extremal problems by the Monte Carlo method
p. 256-262
A variational principle in magneto-hydrodynamics in the case of infinite conductivity
p. 262-266
Calculation of the strained state of an octant under the action of a load concentrated at the apex
p. 266-272
Wahrscheinlichkeitsrechnung: W. Walser. 164 p. B. G. Teubner, Stuttgart. Book review

Sommaire du Fascicule no. 2

Erratum: “A way of constructing cubature formulae for the disc”
The application of A. N. Tihonov's regularization method to the solution of nonlinear systems of equations
p. 283-292
Quadratures on the sphere
p. 293-306
Numerical methods for the solution of nonlinear programming problems
p. 307-324
Two- and three-person games with related constraints for a fixed order of moves
p. 325-339
A modified solution of the bargaining problem
p. 340-350
Convex programming in a space adjoint to a Banach space and convex optimal control problems with phase constraints
p. 351-358
The solvability and convergence of methods of Adams type with an unstable operator
p. 359-371
Solution by the finite difference method of a boundary value problem for a differential equation with deviating argument
p. 372-384
Computation of Fok's function in the case of wave diffraction at an elastic shell
p. 385-398
Calculation of neutron diffusion by the imbedded elements method
p. 399-406
The numerical solution of Landau's kinetic equation
p. 407-416
Non-linear method of electron transport calculation
p. 417-425
Application of S. L. Sobolev's method to the problem of the oscillations of an ideal capillary rotating liquid
p. 426-439
Numerical gas-dynamical calculation of turbulent mixing of the interface
p. 440-450
Three-dimensional radiating flow around blunted cones and ellipsoids of revolution
p. 451-459
Application of an asymptotic method for the numerical integration of singularly perturbed equations
p. 460-469
Asymptotic properties of the solution of a certain boundary value problem for the viscous transonic equation
p. 470-481
The method of successive sweeps
p. 482-494
An approximate method for finding the largest in modulus of the roots of a polynomial
p. 495-496
The rate of convergence of certain gradient methods
p. 496-499
A new way of choosing the regularization parameter
p. 499-503
Order-optimal methods for the solution of nonlinear ill-posed problems
p. 503-507
Approximation and interpolation by functions with finite spectrum
p. 508-514
Solution of an open cooperative game in characteristic function form
p. 514-519
A certain iteration algorithm for the solution of difference equations
p. 519-524
Estimation of Green's function of the Helmholtz equation in the shadow region in the three-dimensional case
p. 525-526
On variation-function behaviour in the linearized sharp-blow problem
p. 527-529
Flow of a viscous fluid past three-dimensional bodies
p. 529-534
Aussagenlogik und beweisverfahren: H. Freund, P. Sorger 136 p., B. G. Teubner, Stuttgart, 1974. Book review
p. 535-536
Mathematical problems for school olympiads and for the entrance examinations of the institutes: P. M. Vasic,
Gibbs states on countable sets: C. J. Preston ix + 128p., Cambridge Univ. Press, London, 1974. Book review
p. 536-537

Sommaire du Fascicule no. 3

Integral error estimates. IV
p. 549-566
Approximate methods for the solution of a certain class of nonlinear operator equations
p. 567-576
A method of regularization for operator equations of the first kind
p. 577-584
Estimates for stability with respect to the solution in an unconditional optimization problem
p. 585-596
The discrete Pontrjagin maximum principle for linear and convex problems on an infinite time interval
p. 597-604
The approximation of a certain optimal control problem by its finite difference analogues
p. 605-615
Principle of the guaranteed result in multistage two-person games with linear pay-off functions
p. 616-623
Finite approximations for the cores and solutions of cooperative games
p. 624-633
An $n$-person game with a fixed sequence of moves
p. 634-639
Stable two-layer schemes on a non-uniform mesh
p. 640-651
Convergence of the difference method in the problem of periodic solutions of equations of elliptic type
p. 652-664
Application of the method of straight lines to the solution of an elliptic equation with a degeneracy
p. 665-679
Solution of the equation of heat conduction in complicated two-dimensional domains
p. 680-688
The effect of absorption on heat propagation in a medium in which the thermal conductivity depends on temperature
p. 689-696
Numerical solution of maxwell's equations in an inhomogeneous region with a moving discontinuity on the right side
p. 697-704
Asymptotic theory of the electromagnetic field over a stratified medium with high conductivity
p. 705-717
The existence of resonance poles and scattering resonances in the case of boundary conditions of the second and third kind
p. 718-724
The complete system of divergent equations of the electromagnetic dynamics of an ideal gas
p. 725-737
Rarefied gas flow from a sperical source for small Knudsen numbers
p. 738-749
Calculation of highly underexpanded supersonic free jets
p. 750-757
Monte Carlo simulation of particle transport with multiplication
p. 758-766
Finding all the Hamiltonian paths of a graph and investigation of Hamiltonian-connected graphs
p. 767-775
A certain method for the solution of systems of nonlinear
p. 776-778
Regularization of nonlinear equations with monotone discontinuous operators
p. 778-781
The equalization of maxima
p. 781-784
Alternance properties of the solutions of non-linear minimax problems with non-linear constraints
p. 784-788
Realization of the branch and bound method for solving the general mixed integer programming problem
p. 788-792
Types of mesh permitting conservative approximations of a two-dimensional transport operator by a triangular difference operator
p. 793-797
The motion of shock waves in a gas with variable parameters
p. 797-800
Study of scalar diffraction at a locally inhomogeneous body by a projection method
p. 800-804
Calculation of the radiative energy flux in air
p. 805-808
Differential approximation of the evolution of plasma noise
p. 809-813
Proceedings of the third international conference on numerical methods in fluid mechanics: Ed. H. CABANNES and R. TEMAN. Vol. 18, vii + 186 pp.; Vol. 19, vii + 275 pp., Springer, Berlin–Heidelberg–New York, 1973.
p. 814-815
Einführung in die Mathematische Logik: G. ASSER. Teil I. Aussagenkalkül, vi + 184 pp.; Teil II. Predikatenkalkül der ersten Stufe, v + 190 pp.; B. G. Teubner, Leipzig, 1972. Book review
p. 815-816

Sommaire du Fascicule no. 4

Investigation of algorithms for the numerical computation of continued fractions
p. 827-837
A modified Crandall–Kikuta method
p. 838-846
Some estimates for conjugate gradient methods
p. 847-855
A criterion for optimality in linear dynamical problems of optimal control with mixed constraints
p. 856-873
Solutions of integral games with a continuum of strategies
p. 874-882
An iteration method for the approximate solution of singularity perturbed Volterra integral equations
p. 883-894
The use of ordered Čebyšev parameters in iteration methods
p. 895-907
Economical difference schemes for a two-dimensional heat equation with mixed derivatives
p. 908-921
The solution of the inverse kinematic problem of seismology by means of a regularizing algorithm
p. 922-931
Some regularizing algorithms and their use in the oil pool prospecting problem
p. 932-942
A certain equation for the trajectories in light guides with variable refractive index
p. 943-955
A method for solving the problem of the magnetohydrodynamic dynamo
p. 956-968
The $T_L$ method of solving the two-dimensional non-stationary neutron transport equation
p. 969-977
The convergence of the method of orthogonal polynomials for the solution of the single-speed radiation transfer equation
p. 978-986
Solution of the rigid contact problem for an incompressible substance
p. 987-995
Generalization of the Trefftz method for three-dimensional problems of elasticity theory
p. 996-1005
A difference method for calculating nonstationary one-dimensional gas flows
p. 1006-1016
Use of a modified large-particle method for solving problems of wave dynamics
p. 1017-1026
Two classes of noncontractive precedence grammars
p. 1027-1037
A method for computing projectors
p. 1038-1040
Some properties of inverse mappings
p. 1040-1044
A method of regularizing operator equations in Banach spaces
p. 1044-1046
The effect of “truncating” functions in nonlinear programming problems
p. 1047-1051
A fast method for obtaining a random sequence with Poisson distribution law
p. 1052-1053
On the question of modelling random processes in Monte-Carlo problems
p. 1053-1057
Transfer of inhomogeneous boundary conditions, and the computation of eigenfunctions
p. 1057-1059
The numerical investigation of stability in the case of constantly acting perturbations
p. 1059-1064
A numerical method for solving a boundary value problem for the system of Hamiltonian equations
p. 1064-1065
The active quenching of the oscillations of elastic media
p. 1065-1068
A certain approximate method for solving Lippmann–Schwinger equation
p. 1069-1072
A certain class of systems of Boolean equations
p. 1073-1077
Kontinuumsmechanik. Ein Einführung in die grundlagen und einfache anwendungen: E. Becker and W. Bürger. 228 p. B. G. Teubner, Stuttgart, 1975. Book review
Proceedings of the Fourth International Conference on Numerical Methods in Fluid Dynamics: Richtmyer R. D. Editor. “Lecture Notes in Physics”. Vol. 35, 457 p. Springer, Berlin–Heidelberg–New York, 1975. Book review
p. 1079-1081
Distributionen und ihre Anwendungen in der Physik: F. Constantinescu. 144 p. B. G. Teubner, 1974. Book review

Sommaire du Fascicule no. 5

Estimation of the rate of convergence of regularized solutions of an equation of convolution type with errors in the kernel and the right-hand side
p. 1091-1101
The approximate computation of the eigenvalues that lie in a given part of a complex plane
p. 1102-1109
Minimization of the number of arithmetic operations in problems with sparse symmetric matrices
p. 1110-1120
The computation of the generalized nucleolus
p. 1121-1135
Mixed strategies in two-person positional games with transfer of information
p. 1136-1145
Algorithms of feasible directions for the solution of certain problems of transportation type
p. 1146-1154
New $L_{p}$ estimates for parabolic difference problems
p. 1155-1163
Alternating-triangular iterative method for the solution of difference elliptic equations in a rectangle
p. 1164-1174
A necessary condition for the stability of multidimensional difference boundary value problems
p. 1175-1181
Implicit difference schemes of third order accuracy for multidimensional problems
p. 1182-1190
A difference scheme for Vlasov's equation
p. 1191-1197
A difference scheme for solving the second boundary value problem for a version of the equations of the theory of shells
p. 1198-1208
Convergence to the centre and reflection of a spherical wave in a gas
p. 1209-1216
A numerical method for solving St. Venant's equations (chamber model)
p. 1217-1232
The finite velocity of propagation of thermal perturbations in media with constant thermal conductivity
p. 1233-1241
Galerkin's method in diffraction problems on smooth undulating surfaces
p. 1242-1251
A bounded variance estimator for computing by the Monte Carlo method the flux of particles at a point
p. 1252-1263
Monte Carlo methods for estimating the correlation function of strong fluctuations of light in a turbulent medium
p. 1264-1275
Convergence and accuracy of the computation of two-centred molecular integrals by means of mayer $G$-functions
p. 1276-1282
An algorithm for the construction of bounded-context parsers
p. 1283-1292
Weakly factored grammars
p. 1293-1304
Simulation of pattern recognition systems with time constraints
p. 1305-1317
A modified algorithm for the solution of the traveling salesman problem
p. 1318-1327
A general approach to the separation of vector-roots and to the method of determining all vector-roots of a system of nonlinear algebraic equations
p. 1328-1332
Uniformly distributed sequences with an additional property of uniformity
p. 1332-1337
The existence of cubature formulas with the least possible number of nodes
p. 1337-1339
On an approximation condition of Neumann on the boundary in spatial right-angled net with error $O(h^2)$
p. 1340-1344
An approximate method for the preliminary treatment of experts' opinions
p. 1344-1348
A class of quadratic assignment problems
p. 1348-1353
A group of algorithms for the solution of quasilinear integer programming problems
p. 1353-1359
The numerical solution of the exterior Dirichlet problem by means of an integral equation of the first kind
p. 1359-1364
Operational calculus: V. A. Ditkin and A. P. Prudnikov. 407 p. 2nd enlarged edition. “Vysshaya shkola”, Moscow, 1975. Book review
p. 1365-1366
Practical quantum mechanics: S. Flügge. 331 + 287 + xvi p. Springer, New York–Heidelberg–Berlin, 1974. Book review
p. 1366-1367
Principles of continuous system simulation. Analog, digital and hybrid simulation in a computer science perspective: W. K. Giloi. 172 p. Teubner, Stuttgart, 1975. Book review
p. 1367-1368
Linear operators and approximation: P. L. Butzer, B. Sz.-Nagy (Editors). II. Birkhäuser, Basel–Stuttgart. 588 p. 1974. Book review

Sommaire du Fascicule no. 6

On the occassion of the seventieth birthday of Andrei Nikolaevič Tihonov
p. 1379-1380
Nonlinear acceleration of two-layer iterative methods of variational type
p. 1381-1387
A numerical method of minimizing without computing the derivatives
p. 1388-1396
A regularizing algorithm on the basis of the Newton–Kantorovič method for the solution of variational inequalities
p. 1397-1404
Numerical solution of certain problems of the synthesis of statistically optimal pulse control
p. 1405-1413
A method of hyperspheres for the solution of Boolean programming problems
p. 1414-1426
Games in a fuzzy environment
p. 1427-1435
Mixed extensions of games with ordered outcomes
p. 1436-1450
The solution of a certain class of non-antagonistic games
p. 1451-1456
The set of attainable vectors in an iterated game without side payments
p. 1457-1466
Adams type of methods with an unstable operator
p. 1467-1479
The uniqueness of the solution of a boundary value problem with A. A. Samarskii's boundary conditions for a second order parabolic equation
p. 1480-1488
The accuracy of certain approximate methods for the computation of weak solutions of a first order quasilinear equation
p. 1489-1502
Methods for the numerical solution of homogeneous nonstationary problems of gas dynamics
p. 1503-1518
The stability of a certain solution of a nonlinear oscillation equation
p. 1519-1525
Diffraction of a wave bundle by a plasma cylinder
p. 1526-1538
Ray equations for arbitrarily curved cylinders with refractive index varying according to the cross-section, and some cases of their integration
p. 1539-1550
The coding of information that is optimal with respect to the accuracy of the prediction
p. 1551-1558
Optimization of algorithms for calculating estimates with respect to parameters characterizing the representability of the standard rows
p. 1559-1570
The asymptotic properties of a certain class of recognition algorithms
p. 1571-1577
On the solution of linear algebraic systems
p. 1578-1579
The numerical realization of the method of the optimal residual
p. 1580-1583
The correctness of a linear estimation problem
p. 1584-1586
A method for computing the Appell functions $F_1(\alpha;\beta,\beta';\gamma;x,y)$
p. 1587-1590
Nonlinear auxiliary problems in mathematical programming
p. 1590-1595
The optimal distribution of material in torsion bars
p. 1595-1597
The numerical solution of multidimensional problems of optimal control
p. 1598-1601
A way of averaging equations of diffusion type with respect to the energies of the photons
p. 1601-1605
The numerical solution of the two-dimensional transport equation in curvilinear coordinates
p. 1605-1609
An asymptotic study of the problem of a supersonic gas flow around slender pointed bodies under intense blowing
p. 1609-1614
Numerische verfahren der programmiertechnik: G. Paulin and E. Griepentrog. 315 p. VEB Verlag-Technik, Berlin, 1975. Book review
p. 1615-1616
Grundlagen der programmiertechnik: G. Paulin. 339 p. VEB Verlag-Technik, Berlin, 1974. Book review