Geodesic

Sommaire du Fascicule no. 1

Mixed problem for a first-order partial differential equation with involution and periodic boundary conditions
p. 3-12
Method of fast expansions for solving nonlinear differential equations
p. 13-24
Stable sequential convex programming in a Hilbert space and its application for solving unstable problems
p. 25-49
Reduction of dimension of optimal estimation problems for dynamical systems with singular perturbations
p. 50-64
Stability of autoresonance models subject to random perturbations for systems of nonlinear oscillation equations
p. 65-79
On a singularly perturbed mixed problem for a linear parabolic equation with nonlinear boundary conditions
p. 80-88
Asymptotic behavior of the solution to a linear stochastic differential equation and almost sure optimality for a controlled stochastic process
p. 89-103
Multi-component Wronskian solution to the Kadomtsev–Petviashvili equation
Ellipticity of the electric field integral equation for absorbing media and the convergence of the Rao–Wilton–Glisson method
p. 105-113
Roll waves in an annular channel
p. 114-125
A Riemann solver for RANS
p. 126-138
Hyperbolic models in the mechanics of heterogeneous media
p. 139-148
Analytical and numerical Riemann solutions of the Saint Venant equations for forward- and backward-facing step flows
p. 149-163
On the development of a wake vortex in inviscid flow
p. 164-169
Computing border bases using mutant strategies
In memory of Professor Mark Iosifovich Vishik

Sommaire du Fascicule no. 2

Numerical solution of the matrix equations $AX+X^TB=C$ and $AX+X^*B=C$ in the self-adjoint case
p. 179-182
Variance reduction techniques for estimation of integrals over a set of branching trajectories
p. 183-194
Ersatz function method for minimizing a finite-valued function on a compact set
p. 195-207
A relaxation method for minimizing a smooth function on a generalized spherical segment
p. 208-223
Algorithms for computing Minkowski operators and their application in differential games
p. 224-255
$Q$-subdifferential and $Q$-conjugate for global optimality
Terminal control of boundary models
p. 257-285
On the eigenfunctions of the Stokes operator in a plane layer with a periodicity condition along it
p. 286-297
New two-level leapfrog scheme for modeling the stochastic Landau–Lifshitz equations
p. 298-317
Layerwise sensing in $X$-ray tomography in the polychromatic case
p. 318-335
Formulation of wall boundary conditions in turbulent flow computations on unstructured meshes
p. 336-351
Influence of a wall impedance insertion on the behavior of the acoustic field in a waveguide
p. 352-363
In memory of Academician Gurii Ivanovich Marchuk
p. 364-368

Sommaire du Fascicule no. 3

Numerical solution of the matrix equation $X-A\overline{X}B=C$ in the self-adjoint case
p. 371-374
Jordan form of the difference of projectors
p. 375-390
A regularized parameter choice in regularization for a common solution of a finite system of ill-posed equations involving Lipschitz continuous and accretive mappings
On the sensitivity of a Euclidean projection
p. 392-403
Control of ellipsoidal trajectories: Theory and numerical results
p. 404-414
Potential optimality in multicriterial optimization
p. 415-424
Indexing of eigenvalues of boundary value problems for Hamiltonian systems of ordinary differential equations
p. 425-429
On a modification of the FitzHugh–Nagumo neuron model
p. 430-449
On the asymptotics of the solution to a singularly perturbed hyperbolic system of equations with several spatial variables in the critical case
p. 450-462
Abstract theory of hybridizable discontinuous Galerkin methods for second-order quasilinear elliptic problems
p. 463-480
Structure and properties of four-kink multisolitons of the sine-Gordon equation
p. 481-495
Features of behavior of numerical methods for solving Volterra integral equations of the second kind
p. 496-502
Dynamics of the generalized $(3+1)$-dimensional nonlinear Schrödinger equation in cosmic plasmas
On the problem of propagation of nonlinear coupled TE–TM waves in a layer
p. 504-518
Inverse problems for stationary Navier–Stokes systems
p. 519-528
Determination of radiation reflection and transmission operators in a slab
p. 529-535
Eddy cascade of instabilities and transition to turbulence
p. 536-544

Sommaire du Fascicule no. 4

On the properties of a new tensor product of matrices
p. 547-561
Can an a priori error estimate for an approximate solution of an ill-posed problem be comparable with the error in data?
p. 562-568
Difference schemes for solving the Cauchy problem for a second-order operator differential equation
p. 569-584
Solving a system of linear ordinary differential equations with redundant conditions
p. 585-590
Efficient error control in numerical integration of ordinary differential equations and optimal interpolating variable-stepsize peer methods
p. 591-607
Boundary value problem for a first-order linear parabolic system
p. 608-618
Application of the multipole method to direct and inverse problems for the Grad–Shafranov equation with a nonlocal condition
p. 619-685
Numerical study of Couette flow based on a nonlinear nonequilibrium kinetic model of the Boltzmann equation for monatomic gases
p. 686-696
On the choice of a method for integrating the equations of motion of a set of fluid particles
p. 697-710
Steady-state problem of complex heat transfer
p. 711-719
$N$-soliton solutions, Bäcklund transformation and conservation laws for the integro-differential nonlinear Schrödinger equation from the isotropic inhomogeneous Heisenberg spin magnetic chain

Sommaire du Fascicule no. 5

Numerical solution of matrix equations of the Stein type in the self-adjoint case
p. 723-727
Trajectory reconstruction for an autonomous aircraft based on five-beam scanning
p. 728-733
Investigation of the optimal control problem for metal solidification in a new formulation
p. 734-745
Estimating the error in the classical Runge–Kutta methods
p. 746-754
Singly implicit diagonally extended Runge–Kutta methods of fourth order
p. 755-765
Dynamics of the logistic delay equation with a large spatially distributed control coefficient
p. 766-778
Counterexamples in inverse problems for parabolic, elliptic, and hyperbolic equations
p. 779-792
Asymptotics of eigenvalues of the Dirichlet problem in a skewed $\mathcal{T}$-shaped waveguide
p. 793-814
Uniqueness of a high-order accurate bicompact scheme for quasilinear hyperbolic equations
p. 815-820
Grid-characteristic method on unstructured tetrahedral meshes
p. 821-832
Finite element solution of double-diffusive boundary layer flow of viscoelastic nanofluids over a stretching sheet
Solvability of an integrodifferential equation arising in the nonlocal interaction of waves
p. 834-844
Stationary solutions of equations of incompressible viscoelastic polymer liquid
p. 845-870
Three-dimensional simulation of the runup of nonlinear surface gravity waves
p. 871-886
In memory of Ivan Ivanovich Eryomin (22.01.1933–21.07.2013)
p. 887-891
In memory of Leonard Amayakovich Oganesyan (1925–2013)
p. 892-896

Sommaire du Fascicule no. 6

On the 70th anniversary of birthday of Boris Nikolaevich Chetverushkin
p. 899-900
Numerical algorithm for solving sesquilinear matrix equations of a certain class
p. 901-904
Study of hybrid methods for approximating the Edgeworth–Pareto hull in nonlinear multicriteria optimization problems
p. 905-918
Construction of control ensuring equilibrium conditions in a multistep two-person positional game
p. 919-927
Constructive observability inequalities for weak generalized solutions of the wave equation with elastic restraint
p. 928-941
Three-level schemes of the alternating triangular method
p. 942-952
Spatially distributed control of the dynamics of the logistic delay equation
p. 953-968
Spectral problem in a waveguide with homogeneous bi-isotropic filling
p. 969-976
Direct and inverse problems of studying the properties of multilayer nanostructures based on a two-dimensional model of $X$-ray reflection and scattering
p. 977-987
Domain effect on the behavior of solutions of a distributed kinetic system
p. 988-999
Mathematical model of a kinetic boundary layer
p. 1000-1007
Computation of discontinuous solutions of fluid dynamics equations with entropy nondecrease guarantee
p. 1008-1021
A solution of the Blasius problem
Formalization of a synthesis problem and methods for its solution
p. 1023-1032
Analysis of the generalization ability of a full decision tree
p. 1033-1047
In memory of Academician Yurii Vasil'evich Prokhorov
p. 1048-1052
In memory of Professor Aleksandr Fedorovich Kononenko
p. 1053-1056

Sommaire du Fascicule no. 7

General algorithm for the numerical integration of functions of several variables
p. 1059-1077
On an algorithm for calculating diffraction integrals
p. 1078-1095
Numerical method of solution to loaded nonlocal boundary value problems for ordinary differential equations
p. 1096-1109
Non-local algorithm of finding solution to the Poisson equation and its applications
p. 1110-1135
Construction and study of high-order accurate schemes for solving the one-dimensional heat equation
p. 1136-1148
Construction of polynomial solutions to the Dirichlet problem for the polyharmonic equation in a ball
p. 1149-1170
Analysis of mixed problems of matching in hyperbolic systems of different orders
p. 1171-1185
Stable difference schemes for certain parabolic equations
p. 1186-1193
Numerical simulation of multiply connected axisymmetric discontinuous incompressible potential flows
p. 1194-1202
Combined grid-characteristic method for the numerical solution of three-dimensional dynamical elastoplastic problems
p. 1203-1217
Sensitivity functionals in contact problems of elasticity theory
p. 1218-1228
In memory of Academician Viktor Mikhailovich Glushkov

Sommaire du Fascicule no. 8

Method for polyhedral approximation of a ball with an optimal order of growth of the facet structure cardinality
p. 1235-1248
On the asymptotics of the solution of the Dirichlet problem for a fourth-order equation in a layer
p. 1249-1255
Computer difference scheme for a singularly perturbed convection-diffusion equation
p. 1256-1269
Contrast structures for a quasilinear Sobolev-type equation with unbalanced nonlinearity
p. 1270-1280
Two methods for direct numerical integration of the Prandtl equation and comparative analysis between them
p. 1281-1288
Analysis of double surface plasmon resonance by the discrete source method
p. 1289-1298
Bounded solutions in a $\mathrm{T}$-shaped waveguide and the spectral properties of the Dirichlet ladder
p. 1299-1318
Scalar problem of plane wave diffraction by a system of nonintersecting screens and inhomogeneous bodies
p. 1319-1331
Numerical study of unsteady rarefied diatomic gas flows in a plane microchannel
p. 1332-1344
Splitting scheme for poroelasticity and thermoelasticity problems
p. 1345-1355
Sufficient conditions for the determination and use of data in the same granular parallel computation process
p. 1356-1367
Minimax problems of discrete optimization invariant under majority operators
p. 1368-1378
In memory of Professor Aleksei Alekseevich Arsen'ev
p. 1379-1384

Sommaire du Fascicule no. 9

Studies on the zeros of Bessel functions and methods for their computation
p. 1387-1441
Discontinuous Steklov operators in the problem of uniform approximation of derivatives on an interval
p. 1442-1557
Algorithms for projecting a point onto a level surface of a continuous function on a compact set
p. 1448-1454
Comparison of two Pareto frontier approximations
p. 1455-1464
Study of the Bellman equation in a production model with unstable demand
p. 1465-1496
A numerical method for solving one nonlocal boundary value problem for a third-order hyperbolic equation
p. 1497-1514
Domain decomposition method and numerical analysis of a fluid dynamics problem
p. 1515-1536
BEM-based numerical study of three-dimensional compressible bubble dynamics in stokes flow
p. 1537-1544

Sommaire du Fascicule no. 10

Modification of the Euler quadrature formula for functions with a boundary-layer component
p. 1547-1556
Numerical solution of special matrix games
p. 1557-1562
Optimal observation of controlled elastic vibrations of a beam in the presence of measurement errors
p. 1563-1570
Inverse problem for a quasilinear system of partial differential equations with a nonlocal boundary condition
p. 1571-1579
Multioperator representation of composite compact schemes
p. 1580-1593
Asymptotics of the front motion in the reaction-diffusion-advection problem
p. 1594-1607
Propagation and interaction of short waves in a homogeneous transversally isotropic elastic medium
p. 1608-1617
Numerical algorithm for moving-boundary fluid dynamics problems and its testing
p. 1618-1629
Method for solving the equations describing the triple-deck interaction of a three-dimensional boundary layer with an outer inviscid transonic flow
p. 1630-1647
Flows of a polymer fluid in domain with impermeable boundaries
p. 1648-1655
Two difference schemes for the numerical solution of Maxwell’s equations as applied to extremely and super low frequency signal propagation in the Earth-ionosphere waveguide
p. 1656-1677
Conformal transformation method as applied to finding the current density distribution and induced magnetic field in a strip conductor with a rectangular cut
p. 1678-1685
In memory of Professor Viktor Pavlovich Cherenin
p. 1686-1688

Sommaire du Fascicule no. 11

Matrices of small Toeplitz rank, certain representations of the solution to an unstable system of linear equations with Toeplitz coefficient matrices, and related fast algorithms for solving such systems
p. 1691-1706
Numerical algorithm for solving quadratic matrix equations of a certain class
p. 1707-1710
First-order regularization methods for accretive inclusions in a Banach space
p. 1711-1723
Probability error estimates of approximate integration formulas exact for Haar polynomials in $S_p$ classes
p. 1724-1733
Optimal observation of multistage systems
p. 1734-1751
A solution method for a nonlocal problem for a system of linear differential equations
p. 1752-1755
Numerical method for solving a two-dimensional electrical impedance tomography problem in the case of measurements on part of the outer boundary
p. 1756-1766
Approximations of optimal control problems for semilinear elliptic equations with discontinuous coefficients and solutions and with control in matching boundary conditions
p. 1767-1792
Integral equations of plane static boundary value problems in the moment elasticity theory of inhomogeneous isotropic media
p. 1793-1805
A nonstationary problem of complex heat transfer
p. 1806-1816
Parametrized tiling: Accurate approximations and analysis of global dependences
p. 1817-1828
In memory of Professor Evgenii Aleksandrovich Grebenikov
p. 1829-1831
Erratum to: “On the Asymptotics of the Solution to a Singularly Perturbed Hyperbolic System of Equations with Several Spatial Variables in the Critical Case”

Sommaire du Fascicule no. 12

Some acceleration techniques for calculating the eigenvalues of normal Toeplitz matrices
p. 1835-1838
Real-time optimal control of a special distributed parameter system
p. 1839-1850
Extragradient methods for searching for equilibrium points in the parametric problem of equilibrium programming
p. 1851-1862
Stability estimates in the problem of cloaking material bodies for Maxwell’s equations
p. 1863-1878
Investigation of the optimal control of metal solidification for a complex-geometry object in a new formulation
p. 1879-1893
Numerical implementation of an iterative method with boundary condition splitting for solving the nonstationary stokes problem on the basis of an asymptotically stable two-stage difference scheme
p. 1894-1903
Singular Riemann–Hilbert problem in complex-shaped domains
p. 1904-1953
Interactions of breathers and kink pairs of the double sine-Gordon equation
p. 1954-1964
Effects of slip and heat transfer on a peristaltic flow of a Carreau fluid in a vertical asymmetric channel
Application of integrodifferential splines to solving an interpolation problem
p. 1966-1978
Practical algorithms for algebraic and logical correction in precedent-based recognition problems
p. 1979-1993
Optimization methods as applied to parametric identification of interatomic potentials
p. 1994-2001