Geodesic

Sommaire du Fascicule no. 1

Locally extra-optimal regularizing algorithms and a posteriori estimates of the accuracy for ill-posed problems with discontinuous solutions
p. 3-15
Infinite-horizon boundary control of distributed systems
p. 16-28
Solution of the pollutant concentration optimization problem with restrictions on the intensity of sources
p. 29-46
Dynamical insurance models with investment: Constrained singular problems for integrodifferential equations
p. 47-98
Finite-difference methods for solving loaded parabolic equations
p. 99-112
Locally one-dimensional schemes for the diffusion equation with a fractional time derivative in an arbitrary domain
p. 113-123
Analytical solutions for the fractional nonlinear cable equation using a modified'homotopy perturbation and separation of variables methods
Numerical simulation of the process of nonequilibrium counterflow capillary imbibition
p. 125-132
Discrete source method for analysis of fluorescence enhancement in the presence of plasmonic structures
p. 133-141
Mathematical simulation of gas–liquid mixture flow in a reservoir and a wellbore with allowance for the dynamical interactions in the reservoir–well system
p. 142-154
Numerical simulation of the distribution of charge carrier in nanosized semiconductor heterostructures with account for polarization effects
p. 155-166
Category-theoretic models of algebraic computer systems
p. 167-179
In memory of Professor Aleksei Vladimirovich Gulin (26.03.1942–27.03.2015)
p. 180-184

Sommaire du Fascicule no. 2

Principal vectors of a nonlinear finite-dimensional eigenvalue problem
p. 187-192
Addition to the Aitken method for the extrapolation of the limit of slowly convergent sequences
p. 193-201
Solution of the linear regression problem using matrix correction methods in the $l_1$ metric
p. 202-207
Numerical method for a quadratic minimization problem with an ellipsoidal constraint and an a priori estimate for the solution norm
p. 208-223
Numerical methods for solving terminal optimal control problems
p. 224-237
Qualitatively stability of nonstandard 2-stage explicit Runge–Kutta methods of order two
Behavior of the formal solution to a mixed problem for the wave equation
p. 239-251
An algorithm for reconstructing the Dirac operator with a spectral parameter in the boundary condition
p. 252-258
Stability of discontinuity structures described by a generalized KdV–Burgers equation
p. 259-274
Nonstationary problem of free convection with radiative heat transfer
p. 275-282
Geometric and algebraic multigrid techniques for fluid dynamics problems on unstructured grids
p. 283-300
On conservative spatial discretizations of the barotropic quasi-gasdynamic system of equations with a potential body force
p. 301-317
Computation of forces acting on bodies in plane and axisymmetric cavitation flow problems
p. 318-331
Fully polynomial-time approximation scheme for a special case of a quadratic Euclidean 2-clustering problem
p. 332-340
Рецензия на книгу В. Г. Корнеева и У. Лангера “Методы декомпозиции области типа Дирихле–Дирихле для эллиптических задач, $h$ и $hp$ конечно-элементные дискретизации”
p. 341-344

Sommaire du Fascicule no. 3

On the 80th anniversary of birthday of Professor Boris Teodorovich Polyak
p. 347-350
On the principal and strictly particular solutions to infinite systems
p. 351-362
On conditions for permutability of Toeplitz and Hankel matrices
p. 363-367
Analogue of Newton-Cotes formulas for numerical integration of functions with a boundary-layer component
p. 368-376
Reconstruction of random-disturbance amplitude in linear stochastic equations from measurements of some of the coordinates
p. 377-386
Numerical algorithm for solving mathematical programming problems with a smooth surface as a constraint
p. 387-393
Application of linear programming techniques for controlling linear dynamic plants in real time
p. 394-408
On a class of optimal control problems with distributed and lumped parameters
p. 409-420
Analysis of stability boundaries of satellite’s equilibrium attitude in a circular orbit
p. 421-431
Justification of the Galerkin method for hypersingular equations
p. 432-440
Long-time convergence of numerical approximations for 2D GBBM equation
Track method for the calculation of plasma heating by charged thermonuclear reaction products for axisymmetric flows
p. 442-454
Numerical solution of the equilibrium problem for a membrane with embedded rigid inclusions
p. 455-464
Effective solving of three-dimensional gas dynamics problems with the Runge-Kutta discontinuous Galerkin method
p. 465-475
Unsteady rarefied gas flow in a microchannel driven by a pressure difference
p. 476-489
Inverse problem of determining parameters of inhomogeneity of a body from acoustic field measurements
p. 490-497
On the complexity of some quadratic Euclidean 2-clustering problems
p. 498-504

Sommaire du Fascicule no. 4

Computationally efficient algorithm for Gaussian Process regression in case of structured samples
p. 507-522
Efficient numerical methods for entropy-linear programming problems
p. 523-534
Stability of best approximation of a convex body by a ball of fixed radius
p. 535-550
Classification of explicit three-stage symplectic difference schemes for the numerical solution of natural Hamiltonian systems: A comparative study of the accuracy of high-order schemes on molecular dynamics problems
p. 551-571
Stability and convergence of difference schemes for boundary value problems for the fractional-order diffusion equation
p. 572-586
Alternating triangular schemes for convection-diffusion problems
p. 587-604
Asymptotics of the solution to an initial boundary value problem for a singularly perturbed parabolic equation in the case of a triple root of the degenerate equation
p. 605-624
Mosaic-skeleton method as applied to the numerical solution of three-dimensional Dirichlet problems for the Helmholtz equation in integral form
p. 625-638
On the structure of solutions of a class of hyperbolic systems with several spatial variables in the far field
p. 639-649
Study of discontinuities in solutions of the Prandtl-Reuss elastoplasticity equations
p. 650-663
Symbolic computation of conservation laws and exact solutions of a coupled variable-coefficient modified Korteweg–de Vries system
Regularized shallow water equations for numerical simulation of flows with a moving shoreline
p. 665-684
Nonlinear waves described by a fifth-order equation derived from the Fermi–Pasta–Ulam system
p. 685-693
Exponential examples of solving parity games
p. 694-703
In memory of Academician Arlen Mikhailovich Il'in
p. 704-708

Sommaire du Fascicule no. 5

Combination of numerical and structured approaches to the construction of a second-order incomplete triangular factorization in parallel preconditioning methods
p. 711-729
On exact estimates of the convergence rate of Fourier series for functions of one variable in the space $L_2[-\pi,\pi]$
p. 730-741
Two fast algorithms for projecting a point onto the canonical simplex
p. 742-755
Efficiency of the estimate refinement method for polyhedral approximation of multidimensional balls
p. 756-767
Control of phase boundary evolution in metal solidification for new thermodynamic parameters of the metal
p. 768-776
Implementation and efficiency analysis of an adaptive $hp$-finite element method for solving boundary value problems for the stationary reaction-diffusion equation
p. 777-795
Monotonicity of the CABARET scheme approximating a hyperbolic equation with a sign-changing characteristic field
p. 796-815
Nonlocal unique solvability of a steady-state problem of complex heat transfer
p. 816-823
To the theory of Volterra integral equations of the first kind with discontinuous kernels
p. 824-839
Dynamics of chain particle aggregates in viscous flow
p. 840-855
Detailed simulation of the pulsating detonation wave in the shock-attached frame
p. 856-868
Problem with nonequilibrium boundary conditions in the kinetic theory of gases
p. 869-878
Discrete spectrum of cranked quantum and elastic waveguides
p. 879-895
Effective averaging of stochastic radiative models based on Monte Carlo simulation
p. 896-908
Resolving sequences of operators for linear ordinary differential and difference systems of arbitrary order
In memory of Professor Stanislav Ivanovich Pokhozhaev, Corresponding Member of RAS
p. 910-916

Sommaire du Fascicule no. 6

In memory of Academician of the RAS Oleg Mikhailovich Belotserkovskii
p. 921-926
Boundary control problems for quasilinear systems of hyperbolic equations
p. 927-942
On the use of multioperators in the construction of high-order grid approximations
p. 943-957
Minimal dissipation hybrid bicompact schemes for hyperbolic equations
p. 958-972
Optimal monotonization of a high-order accurate bicompact scheme for the nonstationary multidimensional transport equation
p. 973-988
Solving the problem of non-stationary filtration of substance by the discontinuous Galerkin method on unstructured grids
p. 989-998
Solution of the self-adjoint radiative transfer equation on hybrid computer systems
p. 999-1007
Simulation of rarefied gas flows on the basis of the Boltzmann kinetic equation solved by applying a conservative projection method
p. 1008-1024
Supersonic flow past a flat lattice of cylindrical rods
p. 1025-1033
Experience of validation and tuning of turbulence models as applied to the problem of boundary layer separation on a finite-width wedge
p. 1034-1048
Simulation and study of stratified flows around finite bodies
p. 1049-1063
Direct numerical simulation of laminar-turbulent flow over a flat plate at hypersonic flow speeds
p. 1064-1081
Hybrid numerical method with adaptive overlapping meshes for solving nonstationary problems in continuum mechanics
p. 1082-1092
On the short-wave nature of Richtmyer–Meshkov instability
p. 1093-1103
Simulation of elastic wave propagation in geological media: Intercomparison of three numerical methods
p. 1104-1114
Numerical investigation of interactions of multiple spherical shock waves between themselves and with the underlying surface
p. 1115-1121
Numerical simulation of spinning detonation in circular section channels
p. 1122-1137
Fibrin polymerization as a phase transition wave: A mathematical model
p. 1138-1148
Numerical solution of seismic exploration problems in the Arctic region by applying the grid-characteristic method
p. 1149-1163
Kinetic Monte Carlo models for the study of chemical reactions in the Earth's upper atmosphere
p. 1164-1173
Program package FLUX for the simulation of fundamental and applied problems of fluid dynamics
p. 1174-1184
Application of the program package TURBO problem solver for some fluid dynamics problems
p. 1185-1196

Sommaire du Fascicule no. 7

Congratulations to A. A.  Abramov
Studies on the zeros of Bessel functions and methods for their computation: 2. Monotonicity, convexity, concavity, and other properties
p. 1200-1235
Splitting algorithms for the wavelet transform of first-degree splines on nonuniform grids
p. 1236-1247
A feasible dual affine scaling steepest descent method for the linear semidefinite programming problem
p. 1248-1266
Approximations of optimal control problems for semilinear elliptic equations with discontinuous coefficients and states and with controls in the coefficients multiplying the highest derivatives
p. 1267-1293
A nonlinear singular eigenvalue problem for a linear system of ordinary differential equations with redundant conditions
p. 1294-1298
On the perturbation algorithm for the semidiscrete scheme for the evolution equation and estimation of the approximate solution error using semigroups
p. 1299-1322
Conditional $\varepsilon$-uniform boundedness of Galerkin projectors and convergence of an adaptive mesh method as applied to singularly perturbed boundary value problems
p. 1323-1334
Application of generalized separation of variables to solving mixed problems with irregular boundary conditions
p. 1335-1339
Justification of the collocation method for the integral equation for a mixed boundary value problem for the Helmholtz equation
p. 1340-1348
Comparison of two reliable analytical methods based on the solutions of fractional coupled Klein–Gordon–Zakharov equations in plasma physics
Exact solutions of the generalized sinh-Gordon equation
Transport solutions of the Lamé equations and shock elastic waves
p. 1351-1362
Uniqueness of self-similar solutions to the Riemann problem for the Hopf equation with complex nonlinearity
p. 1363-1370
Mixed initial-boundary value problem for equations of motion of Kelvin–Voigt fluids
p. 1371-1379
Erratum to: “Complex conservative difference schemes for computing supersonic flows past simple aerodynamic forms”

Sommaire du Fascicule no. 8

On the 60th anniversary of birthday of Professor Aleksandr Alekseevich Shahanin
p. 1383-1384
Algorithm for computing the covering constant of a linear operator on a cone
p. 1385-1394
Multiple solution of systems of linear algebraic equations by an iterative method with the adaptive recalculation of the preconditioner
p. 1395-1400
Hausdorff methods for approximating the convex Edgeworth–Pareto hull in integer problems with monotone objectives
p. 1401-1415
Numerical optimization method for packing regular convex polygons
p. 1416-1427
Asymptotics of the solution to a singularly perturbed elliptic problem with a three-zone boundary layer
p. 1428-1440
Mixed boundary value problems for steady-state magnetohydrodynamic equations of viscous incompressible fluid
p. 1441-1454
Interaction of weak discontinuities and the hodograph method as applied to electric field fractionation of a two-component mixture
p. 1455-1469
Analysis of a method for computing the speed of sound in a medium with inclusions
p. 1470-1479
Modified splitting method for solving the nonstationary kinetic particle transport equation
p. 1480-1490
Numerical analysis of the dynamics of distributed vortex configurations
p. 1491-1505
Direct simulation of the turbulent boundary layer on a plate
p. 1506-1523
Investigation of supercomputer capabilities for the scalable numerical simulation of computational fluid dynamics problems in industrial applications
p. 1524-1535
Transformations of variables invariant under minimization of binary functions of multivalued arguments
p. 1536-1540

Sommaire du Fascicule no. 9

Iteratively regularized methods for irregular nonlinear operator equations with a normally solvable derivative at the solution
p. 1543-1555
An analysis of the matrix equation $AX+\overline{X}B=C$
p. 1556-1559
Randomized projection method for estimating angular distributions of polarized radiation based on numerical statistical modeling
p. 1560-1570
Numerical continuation of solution at a singular point of high codimension for systems of nonlinear algebraic or transcendental equations
p. 1571-1585
Differentiation of a functional in the problem of parametric coefficient optimization in the global electric circuit equation
p. 1586-1601
Multiobjective optimization in a pseudometric objective space as applied to a general model of business activities
p. 1602-1613
Approximate solution of the $p$-median minimization problem
p. 1614-1621
Solvability of certain inverse problems for the nonstationary kinetic transport equation
p. 1622-1627
Pseudo-spectral Fourier method as applied to finding localized spherical soliton solutions of $(3 + 1)$-dimensional Klein–Gordon equations
p. 1628-1634
Simulation of collisionless ultrarelativistic electron-proton plasma dynamics in a self-consistent electromagnetic field
p. 1635-1644
Numerical study of wave propagation in porous media with the use of the grid-characteristic method
p. 1645-1656
On the equivalence of the electromagnetic problem of diffraction by an inhomogeneous bounded dielectric body to a volume singular integro-differential equation
p. 1657-1666
Generation of a longitudinal current by a transverse electromagnetic field in collisional degenerate plasma
p. 1667-1676
Efficient parallel shock-capturing method for aerodynamics simulations on body-unfitted Cartesian grids
p. 1677-1691
MHD three-dimensional flow of viscoelastic fluid over an exponentially stretching surface with variable thermal conductivity

Sommaire du Fascicule no. 10

On polyhedral approximations in an $n$-dimensional space
p. 1695-1701
Irregular trajectories in vakonomic mechanical systems
p. 1702-1710
Asymptotically suboptimal control of weakly interconnected dynamical systems
p. 1711-1724
Control of complex heat transfer on producing extremal fields
p. 1725-1732
Convergence of the gradient projection method and Newton's method as applied to optimization problems constrained by intersection of a spherical surface and a convex closed set
p. 1733-1749
Computation of eigenfunctions and eigenvalues for the Sturm–Liouville problem with Dirichlet boundary conditions at the left endpoint and Neumann conditions at the right endpoint
p. 1750-1753
Uniqueness and nonuniqueness of the solution to the problem of determining the source in the heat equation
p. 1754-1759
Application of fast automatic differentiation for solving the inverse coefficient problem for the heat equation
p. 1760-1774
Blowup of the solution to the Cauchy problem with arbitrary positive energy for a system of Klein–Gordon equations in the de Sitter metric
p. 1775-1779
Difference method for solving a nonlocal boundary value problem for a degenerating third-order pseudo-parabolic equation with variable coefficients
p. 1780-1794
On the convergence of the formal Fourier solution of the wave equation with a summable potential
p. 1795-1809
Simulation of electrochemical machining using the boundary element method with no saturation
p. 1810-1820
On a model of thermoviscoelasticity of Jeffreys–Oldroyd type
p. 1821-1830
On the complexity and approximability of some Euclidean optimal summing problems
p. 1831-1836

Sommaire du Fascicule no. 11

Вычислительному центру имени А.А. Дородницына Российской академии наук исполнилось 60 лет
p. 1839-1846
Generalized fast automatic differentiation technique
p. 1847-1862
Systems of Pfaffian equations and controlled systems
p. 1863-1871
Multicriteria identification sets method
p. 1872-1888
Modified Kantorovich theorem and asymptotic approximations of solutions to singularly perturbed systems of ordinary differential equations
p. 1889-1901
Convergence of a family of solutions to a Fujita-type equation in domains with cavities
p. 1902-1930
Generation of Delaunay meshes in implicit domains with edge sharpening
p. 1931-1948
OpenMP + MPI parallel implementation of a numerical method for solving a kinetic equation
p. 1949-1959
Nonautonomous soliton solutions of the modified Korteweg–de Vries-sine-Gordon equation
p. 1960-1969
Application of a direct method for solving the Boltzmann equation in supersonic flow computation
p. 1970-1980

Sommaire du Fascicule no. 12

On the 80th anniversary of birthday of Academician Yurii Sergeevich Osipov
p. 1983-1985
Studies on the zeros of Bessel functions and methods for their computation: 3. Some new works on monotonicity, convexity, and other properties
p. 1986-2030
On reductibility of degenerate optimization problems to regular operator equations
Application of optimization methods for finding equilibrium states of two-dimensional crystals
p. 2032-2041
Stability of solutions to extremum problems for the nonlinear convection-diffusion-reaction equation with the Dirichlet condition
p. 2042-2053
Optimality conditions of the maximum principle type in bilinear control problems
p. 2054-2064
The Poisson integral and Green's function for one strongly elliptic system of equations in a circle and an ellipse
p. 2065-2072
Solution of an inverse scattering problem for the acoustic wave equation in three-dimensional media
p. 2073-2085
On the character of increase in the field upon resonance excitation of a waveguide
p. 2086-2091
On the stability of reverse flow vortices
p. 2092-2097
TVD scheme for stiff problems of wave dynamics of heterogeneous media of nonhyperbolic nonconservative type
p. 2098-2109
Solutions of the generalized kinetic model of annihilation for a mixture of particles of two types
p. 2110-2114
A model of liquid level measurements
p. 2115-2124