Geodesic

Sommaire du Fascicule no. 1

An evolutionary Newton procedure for solving nonlinear equations
p. 3-12
Singular boundary-value problems and their approximation for nonlinear ordinary differential equations
p. 13-29
The parametrization of boundary conditions in shooting algorithms for the numerical solution of nonlinear boundary-value problems
p. 30-39
Finite-order Abelian groups in the numerical analysis of linear boundary-value problems of potential theory
p. 40-58
Representation of the solutions of two-dimensional analogues of the Sobolev equation by generalized Taylor and Laurent series
p. 59-70
On soliton perturbations excited by an oscillator in a boundary layer
p. 71-81
Implicit method of solving the equations of radiative gas dynamics
p. 82-96
Inverse three-dimensional problems of the simultaneous determination of the absorption coefficient and the source function for the transport equation
p. 97-114
Nonsimulation estimates in Monte Carlo methods
p. 115-122
The dynamic system that arises in the problem of the evaporation of a turbulent layer in a homogeneous fluid
p. 123-135
A class of adaptive algorithms for approximating convex bodies by polyhedra
p. 136-152
Block symmetries in spectral problems for matrix bundles
p. 153-157
Recalculation formulae for a partially resolving operator
p. 157-161
Properties of regular mathematical programming problems
p. 162-167
Solution of the generalized Neyman–Pearson problem using the methods for the optimal partitioning of sets
p. 167-173
A letter to editorial board

Sommaire du Fascicule no. 2

Periodic splines and the fast Fourier transform
p. 179-198
An algorithm for the inversion of a discrete convolution by the partitioning method
p. 199-207
Convergence of Clarke's generalized gradient method in problems of minimization of Lipschitz functions
p. 208-216
Regulation under conditions of uncertainty
p. 217-229
Multistage problems of decision assumptions with noncoincident profits of the participants in conditions of subjective indeterminacy
p. 230-246
Numerical methods of successive elimination and optimization in stochastic optimal control
p. 247-260
A multistep difference method for parabolic equations
p. 261-276
The projection sewing method in a problem on the joining of waveguides
p. 277-284
Applications of crack point models in boundary-contact problems of acoustics
p. 285-295
Expansion of the difference solution on the front of a traveling shock wave
p. 296-310
Increasing the accuracy of the Godunov scheme for calculating stationary supersonic gas flows based on the solution of the generalized Riemann problem
p. 311-319
The relation between the first and second natural frequencies of vibrations of a membrane
p. 320-325
The exact solution of the Navier–Stokes equations for the evolution of the vortex structure in a generalized shear flow
p. 326-329
A separating vortex in a flow of a viscous liquid
p. 329-331
The solution of stochastic standardization problems
p. 331-335

Sommaire du Fascicule no. 3

The conditions for the applicability of the generalized Cholesky algorithm
p. 339-347
A modification of Schur's method for solving a matrix algebraic Riccati equation
p. 348-359
Numerical inversion of two-dimensional Laplace transforms in the algebra of triangular Toeplitz matrices over the ring of formal polynomials
p. 360-379
A numerical method for solving differential equations with derivatives of any order
p. 380-395
A numerical-analytic method of differentiating functions with a bounded spectrum based on Kotel'nikov's formula
p. 396-407
An algorithm for difference schemes whitc approximate the Cauchy problem for ordinary differential equations of any order
p. 408-416
Dynamical systems with an external action
p. 417-433
Numerical solution of a boundary-value problem for a parabolic equation with variable time direction
p. 434-442
Instability of constrasting spatial structures of the “burst” type in a reaction-diffusion system
p. 443-452
A model of correction in classification problems
p. 453-460
A method of choosing the regularization parameter for the numerical solution of ill-posed problems
p. 461-465
Eigenvalues of non-linear equations and the Feigenbaum formula
p. 465-468
Asymptotic solution of a problem in the ignition of a gas-fuel mixture by thermal flux of constant intensity
p. 468-472
The influence of heat supply on the gas dynamical parameters of gas flow in a Laval nozzle
p. 472-477
The asymptotic behaviour of the three-step method of steepest descent
p. 477-478
A letter to editorial board

Sommaire du Fascicule no. 4

Minimax regularization for operator equations with random errors in the data
p. 499-511
Some problems of solving Lipschitzian global optimization problems using the branch and bound method
p. 512-529
Generalized stability of discretization and its applications to numerical solutions of non-linear partial differential equations
p. 530-541
Properties of a projection-grid method with a quasidecoupled operator for second-order hyperbolic equations
p. 542-549
A difference approximation of a singularly perturbed boundary-value problem for quasilinear elliptic equations degenerating into first-order equations
p. 550-566
A method for solving biharmonic-type equation with a singularly occuring small parameter
p. 567-575
A stochastic method of solving an initial-boundary value problem for the Boltzmann equation
p. 576-586
The non-self-conjugate singular spectral problem for a Helmholtz operator with discontinuous coefficients
p. 587-597
A method of calculating the flow around and aerodynamic design of the profiles of turbomachinery blade grids
p. 598-612
The convergence of a difference scheme for the two-dimensional equations of gas dynamics
p. 613-622
Calculation of the spatial interaction of a shock wave with a boundary layer on a cylinder
p. 623-634
Estimate of the a posteriori probabilities of objects belonging to classes in the case of a voting procedure
p. 635-644
Calculation of a lattice function
p. 645-651
A method of approximating a subdifferential
p. 652-658
The uniqueness of the solution of the problem of determining nonlinear kinetic coefficients
p. 658-663
A spectral-difference method for calculating acoustic disturbances initiated by a local heat source in a moving medium
p. 663-669
Varga J. Angewandte Optimierung. Budapest: Akad. Kiadó, 1991
p. 670-671

Sommaire du Fascicule no. 5

Erratum: “Some possibilities of the operator splitting method”
Error of the Bubnov–Galerkin method with perturbations for symmetric spectral problems with nonlinear entrance of the parameter
p. 675-691
Estimates of spheroidal functions
p. 692-706
Simulation of finite discrete distributions: A Tabular approach
p. 707-716
A difference scheme for a singularly perturbed parabolic equation degenerating on the boundary
p. 717-732
The boundary conditions for locally one-dimensional schemes for multi-dimensional parabolic equations
p. 733-741
The construction of the solutions of some partial differential equations
p. 742-757
Inverse problems of the theory of stationary radiation transfer in two-dimensional plane geometry
p. 758-771
Diffraction of electromagnetic waves on a locally non-homogeneous body and singular integral equations
p. 772-787
The numerical solution of the integral equations in the aerodynamics of permeable surface
p. 788-801
Smooth interpolation of surfaces by parametric splines of the second degree on an irregular triangular grid
p. 802-807
A modified invariant embedding method and its application for solving linear two-point boundary-value problems
p. 807-810
Fully conservative axisymmetric difference schemes in orthogonal curvilinear coordinate systems
p. 810-815

Sommaire du Fascicule no. 6

Concommutativity classes generated by matrices with multiple conspectrum
p. 835-845
The convergence of iterations based on a continuous analogue of Newton's method
p. 846-856
Numerical analysis of the efficiency of an algorithm for approximating convex bodies by polyhedra
p. 857-866
A numerical method for solving multidimensional hyperbolic systems
p. 867-877
Investigation of difference schemes for a class of excitability models
p. 878-889
The properties of the solutions of some partial differential equations
p. 890-903
A method for the approximate solution of an inverse problem for the heat-conduction equation
p. 904-916
The existence and uniqueness of the solution of the boundary-value problem for the one-dimensional drift-diffusion model of a semiconductor device
p. 917-928
A method of solving the Navier–Stokes equation in curvilinear systems of coordinates
p. 929-938
Calculation of a flow of viscous fluid on adaptive grids
p. 939-951
Calculation of radiative-energy transfer in hypersonic flow round blunt bodies using $P_1$- and $P_2$-approximations of the method of spherical harmonics
p. 952-966
A numerical method for solving the problem of ideal fluid flow around arbitrarily positioned bodies
p. 967-975
Orthogonal polynomials and some cubature formulae for an integral with radially symmetric weight
p. 976-980
A method of solving real linear homogeneous second-order differential equations in an infinite interval
p. 980-987
A method of averaging the kinetic and radiation transfer equations for solving one-dimensional problems of non-equilibrium gas dynamics
p. 987-988
Ol'ga Nikolaevna Bondareva (obituary)
p. 989-990
Georgii Georgievich Rasputin (obituary)

Sommaire du Fascicule no. 7

The solution of optimal control problems using linearization methods
p. 979-991
Piyavskij's method for solving the general global optimization problem
p. 992-1006
Contrast structures in equations of elliptic type
p. 1007-1015
The leading term of the error expansion for eigenvalues of a discrete analogue of a fourth-order elliptic operator
p. 1016-1024
Generating computational grids using implicit functions
p. 1025-1034
The finite element method for solving a class of three-dimensional external problems of electrodynamics
p. 1035-1045
The solution of the problem of the distribution of eddy currents
p. 1046-1056
An investigation of capillary-gravity waves of finite amplitude on the surface of a floating liquid
p. 1057-1070
On some inverse problems of the dynamics of a viscous incompressible fluid in the case of integral overdetermination
p. 1071-1079
The convergence of a completely conservative difference scheme for gas-dynamic equations in Euler variables
p. 1080-1092
A fast method for calculating three-dimensional transonic potential flows in turbomachine blade passages
p. 1093-1113
Boolean optimization algorithm on $(0,1)$-matrices
p. 1114-1125
Some comments on the generalized Cholesky algorithm
p. 1126-1130
A finite splitting algorithm for a complex $J$-symmetric pencil
p. 1130-1132
Existence and uniqueness of solutions for a problem of the dynamics of multicomponent ion exchange
p. 1133-1138
A method of calculating supersonic three-dimensional flows in pyramidal nozzles
p. 1138-1142
The construction of degenerate splines for solving function interpolation problems and geometric modelling of lines
p. 1142-1143
A method for the accurate solution of a boundary-value problem for the Laplace equation
p. 1143-1145
A conformally integral method for solving a direct problem of aerodynamics of turbomachine blade rows
p. 1145-1148
Inverse problems in partial differential equations. Eds D. Colton, R. Ewing, W. Rundell. Proc. SIAM. Philadelphia, 1990. Book review
p. 1149-1150

Sommaire du Fascicule no. 8

Algebraic properties of classes of concommuting and $H$-selfadjoint matrices
p. 1155-1169
An upper bound for the regularization parameter for incompatible operator equations
p. 1170-1179
Blockwise recursive iterative procedures for the least-squares solution of non-linear problems
p. 1180-1186
Spline approximate schemes that are exact for polynomials
p. 1187-1196
A regularized gradient-projection method in a parabolic optimal control problem
p. 1197-1212
Construction of the convex hull of a point set as a system of linear inequalities
p. 1213-1228
Group-theoretic method of decomposition methods in integer linear programming
p. 1229-1243
Unbounded solutions of the nonlinear equation of heat conduction with a sink
p. 1244-1257
Diffraction of a plane wave by a rapidly-oscillating surface
p. 1258-1272
Investigation of finite difference schemes for the Korteweg–de Vries equation
p. 1273-1290
A family of pseudospectral algorithms for integrating Navier–Stokes equations in a cylindrical coordinate system
p. 1291-1309
Necessary higher-order conditions in extremum problems
p. 1310-1313
Global maximization of special classes of convex functions on a convex polyhedral set
p. 1313-1320
Iterative aggregation and decomposition in block-separable extremum problems
p. 1320-1323
The solution of the convex combination problem
p. 1323-1330
Tikhonov's method in nonlinear monotone problems
p. 1330-1331
Resonance amplification of two-dimensional perturbations in a semi-infinite channel
p. 1332-1340
Greene D. Н., Knuth D. Е. Mathematics for the analysis of algorithms. 3th ed. Boston etc.: Birkhäuser, 1990. VIII+132 p. Book review

Sommaire du Fascicule no. 9

Error bounds in Arnoldi's method: The case of a normal matrix
p. 1347-1360
The solution of an irregular system of linear algebraic equations
p. 1361-1378
Approximate solution of a system of three-point vector equations with constant coefficients
p. 1379-1386
Reconstruction of a surface that has a continuous curvature and is defined on a flat point manifold
p. 1387-1399
Successive calculation of the coordinates of the solution of the least squares problem
p. 1400-1408
Running Lyapunov exponents and the conditions for the occurrence of chaos
p. 1409-1421
$L$-stability of diagonally implicit Runge-Kutta schemes and Rosenbrock methods
p. 1422-1432
Investigation of support operator method difference schemes
p. 1433-1446
Numerical simulation of detonation waves using an effective TVD-scheme
p. 1447-1463
The Helmholtz resonator with a small aperture
p. 1464-1475
A singularly perturbed problem of the heating of a metal
p. 1476-1491
A generalized Cholesky algorithm for plate and shell theory problems
p. 1492-1499
A method for approximating functions
p. 1499-1503
The problem of the convergence of the iteratively regularized Gauss–Newton method
p. 1503-1509
The Asymptotic form of the solution of the Poisson equation in a model of a three-dimensional semiconductor structure
p. 1509-1514
Harmonic analysis on finite groups and method for the numerical solution of boundary equations in boundary value problems with non-Abelian symmetry groups
p. 1515-1517
Universal representations of Green's waveguide functions and their derivatives
p. 1517-1518

Sommaire du Fascicule no. 10

The computation of functions in the algebra of formal polynomials and multidimensional digital signal processing algorithms
p. 1523-1544
Error estimates for certain piecewise-polynomial approximations in a plane
p. 1545-1553
The properties and evaluation of an integral with power singularities
p. 1554-1569
Degenerate extremum problems with inequality-type constraints
p. 1570-1581
Contrast structures with two step-like transition layers and their stability
p. 1582-1593
Problems of recognition and synthesis in diffraction theory
p. 1594-1607
Variational problems of radiation-transfer theory and the method of spherical functions
p. 1608-1627
The stability of transonic decelerating flow in a channel
p. 1628-1640
The functional convergence of the limits and models in the Monte Carlo method
p. 1641-1651
The problem of finding the eigenvalues and eigenvectors of large matrix systems
p. 1652-1657
The evaluation of one family of triple integrals
p. 1658-1660
Discretization of the Laplace operator and the fast solution of Poisson's equation in a torus
p. 1661-1666
The radiation of acoustic waves from a surface through a non-uniform layer
p. 1667-1670
The principal term in the expansion of the error of the eigenvalues of the discrete analogue of an elliptic operator
p. 1671-1676
An approach to the construction of marching algorithms for stationary problems of gas dynamics
p. 1677-1679

Sommaire du Fascicule no. 11

Estimates of the elements of inverse matrices and pivotal condensation methods of incomplete block factorization
p. 1683-1696
Frontal and profile methods of solving systems of linear algebraic equations in mixed finite element methods
p. 1697-1708
The best formulae for the approximate computation of discrete Fourier transforms
p. 1709-1719
The guaranteed-estimates method and regularization problems for evolutionary systems
p. 1720-1733
The stability of one-step methods for nonlinear multipoint boundary-value problems
p. 1734-1743
A domain partitioning algorithm without subdomain overlap for solving parabolic equations
p. 1744-1755
The existence of a solution and a proof of the Bubnov–Galerkin method for the one-dimensional Reissner system
p. 1756-1766
Difference schemes for a problem of laser thermochemistry in gases
p. 1767-1777
An iterative method for the numerical solution of the semiconductor plasma equations
p. 1778-1789
Numerical methods of solving the problem of the injection of plastic into thin moulds under pressure
p. 1790-1802
Variational principles for the linear Boltzmann equation
p. 1803-1813
The oscillations of a vertical column of stratified liquid with a free surface
p. 1814-1820
Two-step iterational regularization methods
p. 1821-1824
The flow of a stratified liquid around point obstacles
p. 1825-1829
The method of discrete velocities for solving the Boltzmann equation
p. 1829-1834
An ordering in $\mathbb R^n$ of a set of permutations
p. 1834-1836
Computation of Jacobi elliptic functions using a Gauss transformation
p. 1837-1839

Sommaire du Fascicule no. 12

Errata: “Variational problems in radiation transfer theory and the method of spherical harmonics”
Cubature formulae of the fifteenth degree of accuracy for a hypersphere
p. 1843-1852
Estimating the information complexity of global optimization and the global solution of equations
p. 1853-1868
Necessary and sufficient conditions for the maximin of a function of the difference of arguments
p. 1869-1884
Fundamental solutions of Sobolev-type operators and some initial boundary-value problems
p. 1885-1899
Solution of one-dimensional inverse problems of electrodynamics by the Newton–Kantorovich method
p. 1900-1915
Diffusion of a turbulent spot in a problem with singularly perturbed initial turbulence energy
p. 1916-1928
The transfer of boundary conditions across a vacuum in axisymmetric problems
p. 1929-1939
The boundaries of submodular functions
p. 1940-1955
The application of recognition methods in problems of medical diagnostics
p. 1956-1971
A geometric approach to classification – a new model of the operation of a neuron
p. 1972-1980
The complementary basis method for problems of convex quadratic programming
p. 1981-1992
Cubature weight formulae of highest algebraic accuracy
p. 1993-1995
The discrete character of the spectrum of a linear two-point boundary-value problem with constraints at singular points
p. 1995-2000
A branch-and-bound algorithm for one class of scheduling problem
p. 2000-2005