Geodesic

Sommaire du Fascicule no. 1

On a metric problem for matrices
p. 3-11
Algorithms for constructing a posteriori errors of solutions to ill-posed problems
p. 12-25
Parametric optimal control problems with a variable index
p. 26-41
A multidimensional global optimization algorithm based on adaptive diagonal curves
p. 42-59
The set of poles of solutions of linear difference equations with polynomial coefficients
p. 60-65
The solvability of a boundary value problem for time-independent equations of heat and mass transfer under mixed boundary conditions
p. 66-80
Asymptotics of Fourier coefficients and the convergence of expansions over an oscillatory basis
p. 81-94
On the existence of a solution to the Laplace equation with a nonlinear dynamic boundary condition
p. 95-110
A method for an approximate solution of an inverse problem for a semilinear hyperbolic equation
p. 111-126
On an example of trapped modes in an irregular waveguide
p. 127-132
A finite-dimensional conductivity model for closely spaced particles
p. 133-148
An a priori estimate for the efficiency of adaptive algorithms for the polyhedral approximation of convex bodies
p. 149-160

Sommaire du Fascicule no. 2

On computer algebra procedures for matrix pseudoinversion
p. 163-168
On a numerical algorithm for optimization problems with pre-convex constraints
p. 169-175
Nonlocal improvement of controls in systems with delay
p. 176-185
The sensitivity theory for abnormal optimization problems with equality constraints
p. 186-202
The Arnold-Moser theorem and the stability problem in new models of celestial dynamics
p. 203-211
Modeling and numerical-analytic computations of contrast structures of variable type
p. 212-225
An optimal numerical method for solving a singularly perturbed boundary value problem with a small parameter multiplying highest derivative
p. 226-234
The application of a spinor calculus to the investigation of the stability of finite-difference schemes
p. 235-250
The Schwarz grid method for singularly perturbed convection-diffusion parabolic equations in the case of coherent and incoherent grids on subdomains
p. 251-264
On a special difference scheme for the solution of boundary value problems of heat and mass transfer
p. 265-278
Solvability of boundary integral equations for the problem of a body moving in a two-layer fluid
p. 279-286
The application of a method of the gaps disintegration to problems of an explosive load of soils
p. 287-294
A variational formulation of problems of the transverse bending of a latticed plate made of composite material
p. 295-307
Substantiation of a correlation adoptometry based on evolutionary optimality methods
p. 308-320

Sommaire du Fascicule no. 3

Convergence rates in regularization under arbitrarily perturbative operators
p. 323-327
The experimental analysis of a new adaptive method for a polyhedral approximation of multidimensional convex bodies
p. 328-346
Regularization methods for the constrained pseudoinversion problem with inaccurate date
p. 347-353
Theorems on alternatives and their applications to numerical methods
p. 354-375
A set-theoretic formulation of the problem of synthesizing rational procedures for information exchange in a hierarchical two-person game
p. 376-387
Approximate solution of the semi-coercive Signorini problem with inhomogeneous boundary conditions
p. 388-398
On the minimization of the difference of convex functions on a feasible set
p. 399-409
On a nonlinear self-adjoint eigenvalue problem for a certain class of differential algebraic equations
p. 410-421
Asymptotics of eigenvalues for a cylinder that is heat-insulated on a narrow strip
p. 422-432
A remark on the numerical solution of a scattering problem for the Schrödinger equation on the whole line
p. 433-434
Diffusion on ellipsoidal surfaces and the formalism of surface spheroidal functions
p. 435-439
Optimization of the frequency polygon method with track-length estimators for the global solution of the transport equation
p. 440-452
Numerical modeling of the flow of a viscous incompressible fluid in a cubic cavity
p. 453-466
A drift algorithm for the motion of a particle in the Darwin model of a plasma
p. 467-480

Sommaire du Fascicule no. 4

Correction to: “A four-stage method of the fifth order of accuracy for the numerical integration of systems of a special type”
On the convergence of non-stationary iterations for block systems of linear equations
p. 483-492
Updating normal pseudo-solutions under rank-one modification of matrix
p. 493-505
On a generalization of Obreshkoff–Ehrlich method for simultaneous inclusion of only part of all multiple roots of algebraic polynomials
p. 506-512
Tikhonov's method and approximation of periodic functions
p. 513-517
The splitting method with linear search for primal-dual variational inequalities
p. 518-532
On the construction of optimal shock wave systems
p. 533-545
Anisotropic estimates of the Green function for a singularly perturbed two-dimensional monotone convection-diffusion equation operator and its applications
p. 546-553
On singularities of solutions of singularly perturbed boundary value problems when the roots of a degenerate equation merge
p. 554-561
Properties of solutions of a parabolic equation and the uniqueness of the solution of the inverse source problem with integral overdetermination
p. 562-570
Weighted algorithms for the statistical modeling of diffusion processes
p. 571-584
Remark on radiation conditions for an irregular waveguide
p. 585-588
Computations of viscous gas flows based on the ($q$-$\nu$) turbulence model
p. 589-600
Numerical solution of the Boltzmann equation by the symmetric splitting method
p. 601-613
Three-dimensional numerical modeling of the inverse problem of thermal convection
p. 614-626
Investigation of boundary points and the design of parametric optimization methods in data envelopment analysis
p. 627-640

Sommaire du Fascicule no. 5

Estimates of residual terms of multiple Fourier–Chebyshev series and the Chebyshev type cubature formulas
p. 643-663
The inverse Krylov problem
p. 664-671
Approximation of solutions and derivative of singularly perturbed elliptic equation of convection-diffusion
p. 672-689
On stable contrast structures in a smoothly inhomogeneous medium
p. 690-696
The finite super element method and homogenization
p. 697-712
On the justification of the finite superelement method
p. 713-729
On the combination of the incomplete factorization method and the fast Fourier method for solving boundary value problems for the Poisson equation in domains with curvilinear boundary
p. 730-743
Asymptotics of the energy functional in the Signorini problem under small singular perturbation of the domain
p. 744-758
Modified Maxwell equations and their closure
p. 759-766
Restoration of the functional dependence by virtue of theoretical-possibility methods
p. 767-783
Correction to: “On a special difference scheme for the solution of boundary value problems of heat and mass exchange”

Sommaire du Fascicule no. 6

On the ideas, underlying the construction of difference grids
p. 787-789
Delone systems as a basis of geometry of the discrete world
p. 790-801
Applications of the internal iterations of the conjugate gradients method to solution large scale sparse non-linear optimization problems
p. 802-807
On piecewise-smooth homeomorphic mappings of bounded domains and its applications to the theory of grids
p. 808-817
Control of the metric properties of three-dimensional mappings
p. 818-829
Variational methods of adaptive grids generation
p. 830-844
Untangling and optimization of unstructured hexahedral meshes
p. 845-853
Three-dimensional quasi-isometric mappings as minimizers of polyconvex functional
p. 854-865
Optimal triangulations: existence, approximations, and double differentiation of $P_1$ finite element functions
p. 866-874
Algorithms for three-dimensional structured grid generation
p. 875-883
Robust discrete grid generation on plane irregular regions
p. 884-892
Meshing strategies for FEM simulations in $3$D fracture network systems
p. 893-901
A barrier-type grid generator and its application to the computations of flow with moving boundaries
p. 902-908
Anisotropic adaptation of three-dimensional irregular grids to the problems of gasdynamic computations
p. 909-919
Adaptive moving grid computations of the explosion
p. 920-928

Sommaire du Fascicule no. 7

Search of the global minimum for the nonlinear least square problem of ambiguous measurements data processing
p. 931-938
Procedures for the lower convex approximations construction
p. 939-950
A concave programming under the simplest linear constraints
p. 951-960
Structural approach to the design of explicit one-stage methods
p. 961-974
On periodic solutions of a parabolic problem with a small parameter at the derivatives
p. 975-986
On the solvability of strongly nonlinear pseudoparabolic equation with double nonlinearity
p. 987-1004
On a system of reaction-diffusion-transfer type in the case of small diffusion and fast reactions
p. 1005-1017
Fifth- and seventh-order accurate multioperator schemes
p. 1018-1034
On geometric methods in the theory of difference grids
p. 1035-1048
On the perturbation theory of spectral characteristics of waveguides
p. 1049-1061
Computation of a liquid bridge for the single crystal growth by the float zone process
p. 1062-1071
Application of the variational barrier method to hyperbolic gas dynamic problems
p. 1072-1095
Application of parabolic grid generator to gas dynamic problems
p. 1096-1106
Rarefied gas flow between coaxial cylinders
p. 1107-1116
Atlas for computing mathematical functions. An illustrated for practitioners with programs in C and Mathematica. Book Review
p. 1117-1118
A. G. Kulikovskii, N. V. Pogorelov, A. Yu. Semenov. Mathematical Aspects of Numerical Solution of Hyperbolic Systems. Book Review
p. 1118-1120

Sommaire du Fascicule no. 8

Self-dual adaptive algorithms for polyhedral approximation of convex bodies
p. 1123-1137
On solutions of the perturbed Hirota equations
p. 1138-1149
Improvement of the normal spline collocation method for linear differential equations
p. 1150-1159
Asymptotic behavior of the solution of a singularly perturbed system of reaction-diffusion equations in a thin rod
p. 1160-1182
Bounded solutions to systems of hyperbolic equations and their approximations
p. 1183-1200
On some inverse problem for a three-dimensional wave equation
p. 1201-1209
Conditions for the global solvability of the Cauchy problem for a semilinear equation of pseudoparabolic type
p. 1210-1222
Combined scaling for the waveguide trapped modes and resonances
p. 1223-1227
Measuring-computing transducers based on sensors with lumped parameters
p. 1228-1242
Logical recognition algorithms based on the Gilbert expansion
p. 1243-1248
Stochastic approximation of Boolean functions
p. 1249-1259
A recurrent method for effective learning of certain algebraic networks of $\Sigma\Pi$-neurons and $\Sigma\Pi$-neuromodules
p. 1260-1272
An inductive method for the synthesis of a correct algorithm in algebras over a model of estimate computation for recognition problems
p. 1273-1277
F. P. Vasil'ev. Optimization Methods. Book Review
p. 1278-1279
Yu. S. Osipov, F. P. Vasil'ev, M. M. Potapov. The basics of the dynamic regularization method. Book Review
p. 1279-1280

Sommaire du Fascicule no. 9

On a method for reducing a pair of matrices to the block diagonal form by the likelihood transform
p. 1283-1293
Discrepancy methods for solving ill posed problems
p. 1294-1312
The Galerkin–Petrov method with iterations
p. 1313-1322
On invariant cubature formulas for a torus in $\mathbb R^3$
p. 1323-1329
Padé approximation and numerical analysis for the Riemann $\zeta$-function
p. 1330-1352
Calculation of prolate radial spheroidal wave functions using the Jaffé expansion
p. 1353-1363
Properties of solution to a parametric linear-quadratic optimal control problem in the vicinity of the irregular point
p. 1364-1373
Accuracy of the Runge–Kutta methods for stiff problems
p. 1374-1384
On solving the Motz problem by a block method
p. 1385-1391
The Fredholm property and the well-posedness of the inverse source problem with integral overdetermination
p. 1392-1401
Splitting of evolution equations by virtue of the diagonal-implicit methods
p. 1402-1408
High order upwind finite element schemes for the heat transfer
p. 1409-1413
Solution to the problem of the transient simulated Raman scattering
p. 1414-1421
A permutation test in the optimal partition method
p. 1422-1431
A priori estimates of the recognition accuracy for limited samplings
p. 1432-1440

Sommaire du Fascicule no. 10

Svyatoslav Sergeevich Lavrov (on the occasion of his eightieth birthday)
p. 1443-1447
On the construction of interpolation curves
p. 1448-1450
A regularized extra-gradient method for solving the equilibrium programming problems
p. 1451-1458
A system of primal-dual variational inequalities and monotony conditions
p. 1459-1466
On a new type of upper Hausdorff discontinuity of convex polynomial mappings
p. 1467-1474
Artificial boundary conditions providing superpolynomial error estimates for the Neumann problem in a layered domain
p. 1475-1486
On the construction of an asymptotic solution of a nonlinear degenerate parabolic equation
p. 1487-1493
On accuracy of the shock wave computations by the shock-fitting method
p. 1494-1516
Monte Carlo method of calculation the derivatives of solution to stationary diffusion equation
p. 1517-1529
A conservative difference scheme for the problem of two-wave interaction of femtosecond pulses in photonic crystals
p. 1530-1535
Numerical solution to the non-stationary problem of anomalous kinetic by the method of momenta
p. 1536-1548
Non-stationary problem on gas evaporation from the cylindrical surface
p. 1549-1561
Numerical analysis of wave processes and fracture in layered targets
p. 1562-1579
On the cardinality of layers in a three-valued $n$-dimensional grid
p. 1580-1588
Construction of disjunctive normal forms by consecutive multiplication
p. 1589-1600

Sommaire du Fascicule no. 11

Vasiliĭ Sergeevich Vladimirov (on the occasion of his eightieth birthday)
p. 1603-1611
The convergence rate of the Jacobi type blocking iteration with overlapping blocks for the model problem
p. 1612-1626
The Newton–Kantorovich method for computing invariant subspaces
p. 1627-1641
Optimal quadrature formulas with two models for the numerical integration of a Lipschitz function
p. 1642-1658
A nonclassical optimality condition in a problem of population control with age distribution
p. 1659-1665
The Edgeworth-Pareto principle and relative importance of criteria in the case of a fuzzy preference relation
p. 1666-1676
An algorithm for solving the Cauchy problem for degenerate linear systems of ordinary differential equations
p. 1677-1683
Implicit methods for integration of initial value problems for parameterized systems of second-order ordinary differential equations
p. 1684-1696
An iterative method of the inverse problem solving for a nonlinear ordinary differential equation
p. 1697-1705
Formation and interaction of the solitary waves traveling in the opposite direction
p. 1706-1708
The conservative difference scheme for the problem of femtosecond laser pulse propagation through a medium with a cubic nonlinearity
p. 1709-1721
The numerical simulation of three-dimensional flows in a stratified atmosphere caused by strong large-scale disturbances
p. 1722-1736
Asymptotic solutions of the Orr–Sommerfeld equation in the neighborhoods of the two branches of the neutral curve
p. 1737-1753
The synthesis of correct pattern recognition algorithms with minimal instability
p. 1754-1760

Sommaire du Fascicule no. 12

The second-order regularized continuous extra gradient method with a variable metric for solving equilibrium programming problems
p. 1763-1774
A singularly perturbed equation with a boundary-layer solution whose expanded variables depend on various powers of a perturbation parameter
p. 1775-1785
The asymptotic of the solution to the Dirichlet problem for Poisson's equation in domains with a narrow slit
p. 1786-1805
The grid approximation of a singularly perturbed parabolic equation on a composed domain with a moving boundary containing a concentrated source
p. 1806-1824
Spin state of an electron component for dense plasma in terms of the Feynman path integrals
p. 1825-1834
Three-dimensional nonlinear evolution equations of pseudoparabolic type in problems of mathematical physics
p. 1835-1869
A nonlinear problem of surface waves on a two-phase mixture
p. 1870-1883
Classification procedures based on the construction of class coverings
p. 1884-1895
Regularized approximate methods of a projection and a conditional gradient with the finite-step inner algorithms
p. 1896-1909
The conditional gradient method for optimization problems with pre-convex constrains
p. 1910-1913