Geodesic

Sommaire du Fascicule no. 1

The rate of convergence of iterations of implicit incomplete factorization methods
p. 3-11
Approximate properties of two-dimensional splines of the third and fourth degree
p. 12-21
Directions of decrease for minimax problems
p. 22-34
Approximate solutions, based on comparison theorems, of scalar and matrix Riccati equations on an infinite interval
p. 35-51
The fictitious-domain method and explicit continuation operators
p. 52-68
Self-excited oscillations in the nonlinear parabolic problem with transformed argument
p. 69-80
Simultaneous determination of two coefficients of the three-dimensional equation of steady-state radiation transfer with isotropic scattering
p. 81-100
The sufficient condition for instability of the convective motion of a liquid in an open vessel
p. 101-118
The stability and implementation of implicit schemes for Stokes's equations
p. 119-130
A difference scheme for quasicharacteristics and its use to calculate supersonic gas flow
p. 131-141
Investigation of stability of the method of auxiliary sources in practice
p. 142-146
Energy estimates for the integro-differential equation describing acoustic waves in a medium with a “memory”
p. 146-150
Non-stationary supersonic flow past a blunt body in thermal heterogeneities when there is turbulence in a shock-boundary layer
p. 151-155
Estimates of the regularity of recognition and classification problems
p. 155-159

Sommaire du Fascicule no. 2

Second order optimization methods
p. 163-178
Regularized proximal method for minimization problems with inaccurate initial data
p. 179-188
Estimating the rate of convergence of the straight-line and regularization methods in the problem of optimal control of the coefficients of a hyperbolic equation
p. 189-194
On a uniform estimate of the set of weakly effective points in multicriterion multi-extremal optimization problems
p. 195-205
A conservative difference scheme for a system of Hamiltonian equations with external action
p. 206-218
Construction of convergent upper and lower bounds of solutions of systems of ordinary differential equations with interval initial data
p. 219-231
On the existence of unbounded solutions of the nonlinear heat equation with drain
p. 232-245
On a general approach to extinction and blow-up for quasi-linear heat equations
p. 246-258
Exact solutions of the theory of the anomalous skin effect for a layer. Specular boundary conditions
p. 259-270
On the solution of a problem of transport theory
p. 271-282
Approximation and decomposition by extremal graphs
p. 283-298
On a modification of Chebyshev's method
p. 299-302
Fast algorithms for the discrete cosine transformation
p. 303-305
Approximate calculation of the Fourier coefficients of the function
p. 306-309
On the investigation of the practical convergence of an algorithm of global optimization
p. 309-313
Hypersingular integral equations of the first kind of diffraction problems for electromagnetic waves on nonclosed surfaces
p. 313-318
Application of duality for raising the efficiency of methods for solving a quadratic problem on the boundary
p. 318-319

Sommaire du Fascicule no. 3

The reversibility of homogeneous polynomial mappings of degree $p$
p. 323-334
The approximation of sets of guaranteed attainability of control systems with mixed constraints when there is interference
p. 335-348
The search for a global maximum of a convex functional on an admissible set
p. 349-363
A preconditioner of a finite-element matrix for a fourth-order elliptic equation
p. 364-379
Almost unconditional a priori estimates of the solutions of parabolic difference problems
p. 380-394
Additive difference schemes for solving parabolic equations with mixed derivatives
p. 395-403
The solution of the two-dimensional Stefan problem in a multiply connected domain
p. 404-416
Numerical investigation of the behaviour of solutions of the sine-Gordon equation with a singularity for large $t$
p. 417-427
Uniqueness of the determination of the parameters of a layered medium from the reflection energy coefficient
p. 428-438
Numerical solution of the asymptotic problem of the separation of the boundary layer of an incompressible liquid in front of the corner point of the contour of a solid
p. 439-449
Unitary-triangular factorizations of a normal matrix
p. 450-452
The stochastic method of generalized Clarke gradients for solving two-stage problems of stochastic programming with coupled variables
p. 453-455
An optimal method of constructing an $\varepsilon$-subgradient
p. 456-458
A method of estimating the accuracy of the solution of an inverse problem without using a uniqueness theorem
p. 458-463
Determination of the parameters of the model of an ion-exchange sorption
p. 464-469
Calculation of a one-dimensional analogue of Couette flow
p. 469-476
Experimental estimate of the efficiency of an algorithm for solving the minimax travelling salesman problem
p. 476-478
Studies in computer-aided modelling, design and operation. Part A. Unit operations/Eds I. Pallai, Z. Fonyo. Budapest: Acad. Kiado. 575p.; Part B.Systems/Eds I. Pallai, G. E. Veress, 626 p. Book review

Sommaire du Fascicule no. 4

An assignment problem
p. 483-494
A two-level subgradient method for finding saddle points of convex-concave functions
p. 495-502
A subgradient method for solving multiproduct network development problems with survivability guarantees
p. 503-521
The numerical solution of the autonomous Cauchy problem with algebraic constraints on the phase variables
p. 522-540
Lattice approximation of singularly perturbed degenerate elliptic equations
p. 541-560
Some problems of well-posedness of difference schemes on non-uniform grids
p. 561-577
Inverse problems of the determining the absorption coefficient and the de-excitation function for certain spatial domains
p. 578-599
Analytic solution of a problem on the resistance of the interface between crystallites
p. 600-610
Parametric excitation of the oscillations of a viscous two-layer fluid in a closed vessel
p. 611-619
The monotonicity of the eigenvalues of doubly symmetric matrices
p. 620-624
The problem of calculating a perturbed inverse matrix as a convergent product
p. 624-631
Factor analysis of nonlinear mappings and generalization of the notion of 2-regularity
p. 631-634
The use of the operator splitting method in eigenvalue problems for an equation of the Orr–Sommerfeld type
p. 635-639

Sommaire du Fascicule no. 5

Discrete approximation of a problem of continuous programming
p. 643-658
Optimal job-shop scheduling with two jobs in systems with unrestricted paths
p. 659-670
Unbounded solutions of the Kolmogorov–Petrovskii–Piskunov equation
p. 671-685
A priori estimates for some classes of one-dimensional difference
p. 686-703
An algorithm for random walks over small ellipsoids for solving the
p. 704-725
An approach to the mathematical modelling of highly heterogeneous flows
p. 726-742
Start-to-finish calculation of continuous waves in open channels
p. 743-752
The convergence of difference schemes for generalized solutions of the
p. 753-765
Calculation of the compression of deuterium in a conical target in the framework of the Navier–Stokes equations for two-temperature magnetohydrodynamics
p. 766-784
The stability of the approximate Boolean minimization of a linear
p. 785-795
The efficiency of Hausdorff algorithms for approximating convex bodies
p. 796-805
Invariant subspaces of real matrix algebras and Burnside's theorem
p. 806-810
The method of generations for estimating the first eigenvalue of the
p. 810-814
On a spiral flow
p. 815-816

Sommaire du Fascicule no. 6

Incomplete factorization methods for systems with sparse matrices
p. 819-836
Bilinear minimax problems with linear constraints: Theory and numerical
p. 837-856
Optimal algorithms of maximization and approximation in calculations
p. 857-873
The region of influence of a stationary solution of a singularly
p. 874-883
Bounds of solutions of some nonlinear non-monotone problems for the heat
p. 884-895
A priori estimates for certain classes of multidimensional difference
p. 896-906
A numerical method for solving the stiff problem in modelling laser target coupling
p. 907-918
A finite element method for calculating the unsteady aerodynamic
p. 919-935
Oscillations of a liquid in a bounded cavity with a plate on the
p. 936-944
Symmetrization of complex normal matrices
p. 945-952
Reproducing kernels of a sphere and its surface
p. 952-958
Variational inverse boundary value problems of aerodynamics for subsonic
p. 958-968
Singular points of the solution of a seven-dimensional system for
p. 968-973
An iterational method for vector orthogonalization
p. 973-974
Erratum: “Partially approximate systems of linear algebraic equations”

Sommaire du Fascicule no. 7

A class of infinite systems of linear algebraic equations
p. 979-995
Inheritance of monotonicity and convexity in local approximations
p. 996-1003
Normal sets and monotonic functions and their applications
p. 1004-1011
Conditions of stability and the approximation of minimization
p. 1012-1029
Finite group algebras in iterative methods of solving boundary-value
p. 1030-1042
The investigation of the Lyapunov spectrum of the Kuramoto–Tsuzuki equation
p. 1043-1053
The solution of the problem of the motion of a conservative impurity in a river with a bed of arbitrary configuration
p. 1054-1065
Averaging of the equations of the dynamics of composites of slightly compressible elastic components
p. 1066-1082
A model and a language for parallel computations in the solution of scientific problems
p. 1083-1094
The method of fictitious domains for the Laplace equation with heterogeneous boundary conditions
p. 1095-1103
Stochastic model of the non-steady-state flow of a two-phase medium
p. 1103-1109
The numerical simulation of a jet of rarefied weakly ionized gas
p. 1109-1118
Modelling of parabolic evolution equations of arbitrary order in discrete bases
p. 1118-1119

Sommaire du Fascicule no. 8

A stabilization method for solving lexicographic problems
p. 1123-1134
The penalty method in linked max-min problems with errors
p. 1135-1144
Bounds on the suboptimalization of aggregation in convex programming
p. 1145-1154
Optimal control of economic systems with a growth structure
p. 1155-1165
Approximation and regularization of problems of the optimal control of
p. 1166-1183
A numerical method of solving inverse problems for nonlinear
p. 1184-1200
Computer normalization of Hamiltonian systems in analytic form
p. 1201-1208
Perturbation algorithm for one slightly nonlinear first-order hyperbolic
p. 1209-1217
On an iterational method for the approximate solution of an initial- and boundary-value problem for the heat-convection equations
p. 1218-1227
The construction of exact solutions of the multidimensional quasilinear
p. 1228-1239
A method of solving the two-dimensional equations of the dynamics of a heat-conducting gas in regions of complicated shape
p. 1240-1250
The Cauchy problem for the equations of a viscous heat-conducting gas with degenerate density
p. 1251-1259
On the accuracy of the input data in trajectory problems
p. 1260-1264

Sommaire du Fascicule no. 9

The problem of constructing a matrix with a given determinant
p. 1267-1274
Energy bounds of some nonlinear dynamical systems with an external action
p. 1275-1293
The problem of determining the coefficient in the nonlinear stationary heat-conduction equation
p. 1294-1304
Mesh approximation of singularly perturbed quasilinear elliptic equations which degenerate to a zero-order equation
p. 1305-1323
On the nonlinear vibrations equation with a coefficient containing an integral
p. 1324-1332
Adaptive grids and grids on surfaces
p. 1333-1351
Conservative difference schemes for non-stationary Maxwell's equations in three dimensions
p. 1352-1367
Planar bending vibrations of a curved rod
p. 1368-1376
On the numerical solution of the inverse problem of $X$-ray diffraction optics
p. 1377-1382
Approximate solutions of systems of Boolean equations
p. 1383-1390
On the stability of bottleneck problems
p. 1391-1402
On some modifications of Newton's method for solving the nonlinear spectral problem
p. 1403-1409
An iterative method for solving variational inequalities of the contact elastoplastic problem by the penalty method
p. 1409-1415
The solvability of a multipoint boundary-value problem for the one-dimensional drift-diffusion model of a semiconductor multiterminal network
p. 1415-1421
Flow around a blunt spherical body in a supersonic turbulent wake
p. 1422-1427
On the solvability of vector problems of diffraction in domains connected through an opening in a screen
p. 1427-1440

Sommaire du Fascicule no. 10

A method of matrix inversion and factorization and its applications
p. 1443-1454
Numerical methods in problems of best approximation by splines and nonlinear spectrum analysis
p. 1455-1467
A method of continuing functions across a curve with points of large curvature
p. 1468-1479
The complexity of the computation of a global minimum in certain classes of optimization problems
p. 1480-1498
The stability of self-excited bifurcation oscillations in a nonlinear parabolic problem with transformed argument
p. 1499-1508
Proof of the uniqueness of the solution of one inverse problem
p. 1509-1517
Second-order optimization methods in the synthesis of multilayer coatings
p. 1518-1535
The uniqueness of the determination of the absorption coefficient in the
p. 1536-1549
Numerical investigation of axisymmetric free oscillations in a vacuum and excitation in a compressible medium of a prolate cylindrical shell with hemispherical ends
p. 1550-1580
Asymmetric convergence of approximations of the Monte Carlo method
p. 1581-1587
Computation of the rate of dissipation of Taylor eddies
p. 1587-1594
The method of quasicharacteristics in problems of the mechanics of
p. 1594-1599

Sommaire du Fascicule no. 11

Numerical inversion of causative Wiener–Hopf operators and the digital-filter method for inverse problems of heat conduction
p. 1603-1625
Iterative methods of solving ill-posed boundary-value problems
p. 1626-1637
An adaptive algorithm for establishing functions in the class $Q_{r,\gamma,p}(\Omega)$
p. 1638-1650
Proof of the convergence of an approximate method of conformal mapping of the exterior of an airfoil onto the exterior of a circle
p. 1651-1662
Approximation of the conservation laws on a non-uniform difference
p. 1663-1680
Almost conservative difference schemes for the equations of gas
p. 1681-1692
An asymptotic analysis of junctions of non-homogeneous elastic rods: boundary layers and asymptotic expansions
p. 1693-1721
Application of the theory of singular perturbations to the investigation of specimens placed in a heating oven under quasistationary temperature conditions
p. 1722-1737
On the construction of a regularized solution of the Fredholm integral equation of the first kind
p. 1738-1745
Discretization of the Laplace operator and the fast solution of Poisson's equation for the exterior of a solid of revolution
p. 1746-1750
Estimation of tracer migration time in ground water flow
p. 1751-1759

Sommaire du Fascicule no. 12

An algorithm for the asymptotic solution of the problem of the terminal control of a nonlinear singularly perturbed system
p. 1762-1775
An interior linearization method
p. 1776-1791
The Cauchy problem as a problem of the continuation of a solution with respect to a parameter
p. 1792-1805
The asymptotic solution of a singularly perturbed parabolic equation with piecewise-smooth boundary condition
p. 1806-1814
Numerical solution of convolution-type equations on finite non-commutative groups
p. 1815-1825
Nonlocal solutions of problems of nonlinear dynamics
p. 1826-1843
Perturbation waves in turbulent media
p. 1844-1863
Kinetically compatible difference schemes for modelling reacting flows
p. 1864-1878
Computation of generalized convex approximations of planar geometric objects
p. 1879-1893
Green's function of the difference analogue of a polyharmonic operator and discrete splines
p. 1894-1897
An efficient method of analysing acoustic scatterers
p. 1897-1902
A universal version of Lobachevsky's method for determining the roots of polynomials
p. 1902-1904
Spiral flows of ideal and viscous liquids
p. 1905-1911