Geodesic

Sommaire du Fascicule no. 1

Natural norms for estimating the solution of a finite computational problem
p. 3-13
Application of the method of optimal coefficients to numerical integration
p. 14-29
Error estimates for solutions of incorrectly posed linear problems
p. 30-41
The solution of operator equations in Hilbert space
p. 42-54
Differentiation of the maximin function. II
p. 55-67
On a class of optimal control problems
p. 68-95
The solution of differential equations with a small parameter and a discontinuity in the limit
p. 96-107
The applicability of the method of finite differences to the investigation of the spectrum of an ordinary differential operator
p. 108-121
The Cauchy problem for a system of partial differential equations which contains a hyperbolic and a parabolic operator
p. 122-136
The expansion in eigenfunctions of the Schrödinger operator with a strongly singular potential
p. 137-163
Solids of revolution in a sonic flow of ideal gas
p. 164-176
Remarks on Seidel's method
p. 177-182
Best and oscillatory symmetrized relaxation
p. 182-185
Expansion, uniform in a segment, of an integral with decreasing kernel
p. 185-194
Lower bound of the error in the solution of operator equations in compact spaces
p. 194-201
A resolvent of the problem of the minimum of a quadratic functional in the singular case
p. 201-203
Study of the stability of resonance motions in some multifrequency systems
p. 204-207
Approximate determination of the limit cycle of van der Pol's equation for $\varepsilon\le1$
p. 207-211
Flow variant of the sweep method for difference problems with strongly varying coefficients
p. 211-218
Stability of the numerical integration of systems of ordinary differential equations arising in the application of the straight line method to some equations of oscillation
p. 218-221
Difference schemes of high order of accuracy for ordinary differential equations with a regular singularity
p. 221-226
Convergence of the $KP$-method for some neutron transfer problems
p. 226-235
One method of solving integral equations of the first kind in potential theory problems
p. 235-238
The drag of a rigid body in a tube by the flow of a viscous incompressible fluid
p. 238-243
Selfsimilar solutions for the collapse of a hollow cylindrical cavity in a gas with the equation of state
p. 243-251
Analysis of numerical methods: E. Isaacson and H. B. Keller. ix+541 pp. John Wiley and Sons, London–New York, 1966
p. 252-253
Quantum statistical mechanics: P. H. E. Meijer. viii+172 pp. Gordon and Breach Sci. Publs.,
p. 253-254
Introduction to automata: R. J. Nelson. xii+400 pp. John Wiley and Sons, Inc. New York–London–Sydney, 1968
p. 254-255

Sommaire du Fascicule no. 2

Errata
The connection between the mechanical quadrature and finite difference methods
p. 259-270
The difference method of solving a boundary value problem for generalized analytic functions
p. 271-285
The construction of strongly convergent minimizing sequences for a continuous convex functional
p. 286-299
A certain numerical method of solving optimal control problems
p. 300-314
High-accuracy homogeneous difference schemes for the Sturm–Liouville problem
p. 315-336
The convergence of difference schemes with a splitting operator which approximates the third boundary value problem for a parabolic equation
p. 337-349
A problem in the theory of network envelopes and its difference analogue
p. 350-361
Difference schemes for the solution of a plane dynamical problem of elasticity theory with mixed boundary conditions
p. 362-372
The construction of difference schemes for equations of hyperbolic type on the basis of characteristic ratios
p. 373-386
The circulation round half-bodies by the sonic flow of an ideal gas
p. 387-396
The calculation of flows of a radiating gas in a shock layer
p. 397-412
A certain problem in infinite linear fractional programming
p. 413-417
A particular case of the construction of cubature formulae with boundary layer
p. 417-419
Cubature formulae and orthogonal polynomials
p. 419-425
On the Cauchy problem for Bellman's equation of dynamic
p. 426-432
Necessary conditions for a maximin
p. 432-438
On the numerical integration of equations with a small parameter
p. 438-442
Solution of a certain nonlinear discrete boundary value problem by means of the continuous analogue of Newton's method
p. 442-447
A method of asymptotic integration of a linear system of integro-differential equations
p. 447-457
Applicability of the sweep method to the difference analog of a De la Valee–Poussin boundary value problem
p. 457-462
The solution of Laplace's difference equation
p. 462-468
Some notes on the paper of A. F. Sidorov “An algorithm for the calculation of optimal difference nets”
p. 468-469
The numerical solution of a mixed problem in elasticity theory
p. 469-474
A numerical solution of a certain nonstationary problem on the motion of a rigid barrier in a compressible fluid
p. 474-478
Stability of the stationary motions of a satellite with a gyroscope in a central gravity field
p. 479-482
The error information in the translator TA-1M
p. 482-485
Canonical assumptions for graph-schemes
p. 486-490
Chebyshev polynomials in numerical analysis: L. Fox and I. B. Parker. Oxford University Press, Oxford, London, 1968, ix+205 pp.
Series expansions for mathematical physicists: H. Meschkowski. Interscience. New York, 1968, ix+174 pp.
Mathematical methods for digital computers: A. Ralston and H. S. Wilf, Editors. Vol. II. Wiley, New York, 1967, x+287 pp.
p. 492-494
Machine intelligence: E. Dale and D. Michie, Editors. Vol. 2 Oliver Boyd, Edinburgh, 1968, ix+252 pp.
p. 494-495

Sommaire du Fascicule no. 3

100-th Anniversary of S. A. Chaplygin
Evaluation of a derivative on the basis of information arriving discretely
p. 500-508
Minimization of nonsmooth functionals
p. 509-521
The convergence of difference approximations for optimal control problems
p. 522-547
A method of local variations for variational problems with nonadditive functionals
p. 548-557
Solution of the fourth and fifth boundary value problems for a one-dimensional second-order parabolic equation in a curvilinear region
p. 558-572
The differential properties of the solutions of Laplace's equation, and the errors in the method of nets with boundary values in $C_{2}$ and $C_{1,1}$
p. 573-584
Solution of Stefan's problem by the method of straight lines
p. 585-594
A priori estimates for a certain family of efficient schemes
p. 595-604
Generalized solutions of boundary value problems for the transport equation
p. 605-625
The application of the Mellin convolution to the solution of integral equations of the first kind with a product-type kernel
p. 626-646
Solution of the dirichlet problem for the equation $\Delta u-cu=-q$ by a model of “walks on spheres”
p. 647-654
The circulation round blunt bodies of a supersonic flow of gas with selective radiation and absorption of energy
p. 655-663
An ALGOL complex for a universal programming system
p. 664-672
The method of regularization
p. 673-675
A generalization of the escalator method of finding the eigenvalues of matrices
p. 676-679
The statistical investigation of the round-off errors of certain algebraic transformations
p. 679-684
Iteration methods for sharpening the roots of equations
p. 684-687
Radon's cubature formula for a region with central symmetry
p. 687-691
Approximate computation of cylindrical functions of two real variables
p. 691-698
An approximate method of determining an analytic function by a condition on the boundary which contains higher order derivatives
p. 698-704
Le calcul numerique des fonctions de mathieu en tant que solutions d'equations integrales
p. 704-707
A. N. Tihonov's “method of regularization” for weak solutions of
p. 708-711
The convergence of a finite difference scheme
p. 712-714
Calculation of the Thomas–Fermi potential for a mixture of substances
p. 715-720
The use of “convolution type” orthogonality in solving certain boundary value problems
p. 721-724
Solution of the quasilinear stationary equations of neutron diffusion in a plane layer
p. 724-729
Approximate reduction of the problem of determining a maximin to the problem of determining a maximum by means of penalty functions
p. 730-731
Lectures on advanced numerical analysis: F. John. New York, Gordon and Breach. XIV+179 pp., 1967
p. 732-733
Solving problems in vector algebra: E. M. Patterson. Oliver and Boyd, Edinburgh–London. 144 pp., 1968
Solving problems in differential calculus. I, II: L. M. Brown. Oliver and Boyd, Edinburgh–London, 1968
Differentialgleichungen: L. Collatz. B. G. Teubner, Stuttgart, 1967

Sommaire du Fascicule no. 4

The compact approximation principle in the theory of approximation methods
p. 739-761
The construction of operation $P$ in the $KP$-method
p. 762-774
Estimates of round-off errors in the solution of a system of conditional equations
p. 775-782
A general method of minimization for nonsmooth extremal problems
p. 783-806
The conjugate gradient method in extremal problems
p. 807-821
A transformation for implicit extremal problems
p. 822-829
A certain inverse problem for a nonlinear equation
p. 830-840
On the optimization of the methods for solving boundary value problems in the presence of a boundary layer
p. 841-859
The convergence of the Bazley–Fox process, and an estimate of the rate of this convergence
p. 860-872
The asymptotic theory of certain differential-difference equations and its applications
p. 873-883
Difference schemes with a splitting operator for systems of differential equations of mixed type
p. 884-893
A certain method for constructing the solution of equations of
p. 894-907
Transonic flows behind a detached shock wave
p. 908-931
The asymptotic distribution of round-off errors in the factorization of a matrix and in the solution of systems of equations
p. 932-934
The method of reduction as applied to a certain infinite system of equations
p. 934-938
On the theory of the Fresnel integral
p. 938-944
Minimization of functionals depending on a parameter
p. 944-950
The stability of the method of quasireversibility in the solution of ill posed evolution equations
p. 951-952
Completely conservative difference schemes
p. 953-958
Equivalent regularizations of the problem of scattering at a singular potential
p. 959-960
Calculation of the steady-state motion of a beam of charged particles in external fields
p. 961-967
Decidability of a class of grammars
p. 967-973
Handbook of numerical methods and applications: L. G. Kelly. XIV+354 p. Addison Wesley, Reading (Mass.), 1967
p. 974-975
The laws of large numbers: P. Révész. 176 pp. Acad. Kiado, Budapest, 1967
p. 975-976
Geometric programming – theory and application: R. J. Duffin, E. L. Peterson and C. M. Zener. XI+278 p. John Wiley and Sons, Inc., New York–London–Sydney, 1967
p. 976-977
Probability: J. R. Gray. VIII+267 p. Oliver and Boyd, Ltd., Edinburgh and London, Intersci. Publs. Inc., a div. of John Wiley and Sons, Inc.
Mathematische statistik, rine einfuhrung in theorie und methoden: H. Witting. 244 p. B. C. Teubner, Stuttgart, 1966
p. 977-978
Fields and/or particles: D. K. Sen. X+139 p. Academic Press Inc., London, 1968
p. 978-980

Sommaire du Fascicule no. 5

Matching of vector and matrix norms
p. 987-995
The convergence rate of the method of successive over relaxation
p. 996-1003
The solution of the problem of minimizing a quadratic functional with approximate input data
p. 1004-1014
A certain optimal algorithm for the approximate computation of quadratures
p. 1015-1023
Asymptotic expansions of a certain class of integrals
p. 1024-1035
The Cauchy problem in pursuit theory
p. 1036-1045
A regularization method for a continuous convex functional
p. 1046-1056
The difference method for ordinary differential equations
p. 1057-1074
Expansion in eigenfunctions of a differential equation of the form $y''+\lambda y=[c /x^2+q(x)]y$
p. 1075-1093
Behaviour of an S. L. Sobolev generalized solution of a mixed problem for a wave equation in almost closed domains
p. 1094-1101
Study of the rate of convergence of variational difference schemes for second-order elliptic equations in a two-dimensional field with a smooth boundary
p. 1102-1120
Solution of a system of relaxation equations for calculating the flows of a reacting gas mixture in a nearly equilibrium state
p. 1121-1136
An algorithm for the parallel realization of a program
p. 1137-1144
A use of the approximate solutions of the adjoint problem for the improvement of the algorithms of a Monte Carlo method
p. 1145-1152
The application of the method of Fejer approximations to the solution of problems of convex programming with non-smooth constraints
p. 1153-1160
The multiplication of weakly perturbed matrices
p. 1161-1164
The calculation of a multiple real root of a function
p. 1165-1168
An approximate method of finding the solution with minimum norm of infinite systems
p. 1168-1170
The choice of optimum networks in the approximate calculation of quadratures
p. 1170-1176
The approximate solution of a nonlinear characteristic singular integral equation with Hilbert kernel
p. 1177-1179
On the question of the effective computction of Fourier coefficients by means of iterations
p. 1179-1183
Notes on the pivotal condensation method
p. 1183-1184
A certain gluing method for the solution of boundary value problems
p. 1184-1188
The uniqueness of the solution of the inverse problem in potential theory
p. 1189-1191
An application of the Galerkin method to the calculation of wave guide systems of complicated form with gyrotropic filling
p. 1191-1197
An example of the absence of stabilization for a solution of the heat equation
An approximate solution of a mixed boundary value problem for the
p. 1199-1202
Free axisymmetrical oscillations of thin elastic shells of revolution
p. 1202-1207
The circulation round a sphere of a flow of ideal liquid in a tube of rectangular section and in a slot
p. 1207-1211
The numerical calculation of the supersonic circulation of a current of viscous perfect gas round a sphere
p. 1211-1217
An analytic approximation of enthalpy as a function of the pressure and density for air
p. 1218-1220
An ALGOL-BESM-6 translator
p. 1221-1222
Letter to the editors
Méthodes de calcul numérique. 2. Elements de theorie des matrices carrees et rectangles en analyse numérique: A. Korganoff and M. Pavel-Parvu. Paris, Dunod, XX+441 p., 1967
p. 1224-1225
Problems for computer solution: F. Gruenberger, G. Jaffray. New York–London–Sydney, John Wiley and Sons, Inc., XVI+401 pp. 1965
p. 1225-1226
Truth functions and the problem of their realization by two-terminal graphs: A. Adám. Budapest, Acad. kiadó, 205 pp. 1968
p. 1226-1227

Sommaire du Fascicule no. 6

Errata
Indeterminate methods of integration with a finite number of possible formulas
p. 1235-1246
Iterative methods for solving operator equations with a spectrum contained in several intervals
p. 1247-1252
The connection between systems of polynomials that are orthogonal with respect to different distribution functions
p. 1253-1262
A translation of Euler's equations
p. 1263-1284
The uniform convergence of difference schemes for the Neumann problem
p. 1285-1298
A difference method with straightening of fronts for the solution of Stefan type problems
p. 1299-1315
Economic schemes for increasing the order of accuracy when solving multidimensional parabolic equations
p. 1316-1326
Solution of a Stefan type problem for a quasilinear parabolic system
p. 1327-1335
Distribution of electricity on a thin finite cone
p. 1336-1346
Effect of capillary forces on the oscillation frequency of an ideal fluid in a partially filled spherical vessel
p. 1347-1356
A problem of the motion of a viscous and heat conducting gas
p. 1357-1366
Combustion in supersonic flows around various bodies
p. 1367-1377
Representations of matrix norms
p. 1378-1383
A method of stochastic approximation for the determination of the least eigenvalue of a symmetric matrix
p. 1383-1387
Pseudo-solutions
p. 1387-1391
The application of the method of regularization to convolution type integral equations of first kind
p. 1392-1396
On the basis of the method of variations in phase space for the numerical solution of optimal control problems
p. 1396-1402
A certain family of difference schemes for the quasilinear heat equation
p. 1402-1407
A difference method for the solution of the equations for the propagation of a light ray in a non-linear medium with combinative dispersion
p. 1408-1410
An entropy scheme for a gas-dynamic calculations
p. 1411-1413
A direct scheme of the method of characteristics for calculating spatial flows of gas
p. 1413-1419
The algorithmic metalanguage ALMET
p. 1419-1423
Potentialtheorie: E. Martensen. B. G. Teubner, Stuttgart, 266 S, 1968
Vehicular traffic science: Edited by L. C. Edie, R. Herman and R. Rothery. Elsevier Amsterdam. X+373 pp., 1967
p. 1424-1425
Contests in higher mathematics. Hungary, 1949–1961, in memory of Miklos Schweitzer: Akad. Kiado, Budapest. 260 p, 1968
Selected applications of non-linear programming: J. Bracken and G. P. McCormick, John Wiley,
Lineares optimieren: W. Vogel. Akad. Verlag, Leipzig. 372 S., 1967