Geodesic

Sommaire du Fascicule no. 1

Improving an estimate of the convergence rate of the Seidel method by selecting the optimal order of equations in the system of linear algebraic equations
p. 3-8
Cubic spline interpolation of functions with high gradients in boundary layers
p. 9-28
Weighted cubic and biharmonic splines
Universal procedure for constructing a Pareto set
p. 30-48
Extragradient method for solving an optimal control problem with implicitly specified boundary conditions
p. 49-54
Stable iterative Lagrange principle in convex programming as a tool for solving unstable problems
p. 55-68
Measurement of returns to scale in radial DEA models
p. 69-80
A model of the direct interaction of elements of a tightly coupled system
p. 81-93
Two-frequency self-oscillations in a FitzHugh–Nagumo neural network
p. 94-110
Numerical diagnostics of solution blowup in differential equations
p. 111-121
On the convergence of difference schemes for fractional differential equations with Robin boundary conditions
p. 122-132
Solving boundary value problems of mathematical physics using radial basis function networks
p. 133-143
Open waveguides in a thin Dirichlet ladder: I. Asymptotic structure of the spectrum
p. 144-162
Matrix of moments of the Legendre polynomials and its application to problems of electrostatics
p. 163-175

Sommaire du Fascicule no. 2

Inverse final observation problems for Maxwell's equations in the quasi-stationary magnetic approximation and stable sequential Lagrange principles for their solving
p. 187-209
Special solutions to Chazy equation
p. 210-236
Open waveguides in a thin Dirichlet lattice: II. Localized waves and radiation conditions
p. 237-254
Angular boundary layer in boundary value problems for singularly perturbed parabolic equations with quadratic nonlinearity
p. 255-274
Approximate methods for equations of incompressible fluid
p. 275-284
Asymptotic analysis of the model of gyromagnetic autoresonance
p. 285-301
A new sequential approach for solving the integro-differential equation via Haar wavelet bases
Modified method of splitting with respect to physical processes for solving radiation gas dynamics equations
p. 303-315
Simulation of shallow water flows with shoaling areas and bottom discontinuities
p. 316-338
A model of the joint motion of agents with a three-level hierarchy based on a cellular automaton
p. 339-349
Aggregation of multiple metric descriptions from distances between unlabeled objects
p. 350-361
On the linear classification of even and odd permutation matrices and the complexity of computing the permanent
p. 362-372
In memory of Academician Pavel Sergeevich Krasnoshchekov (06.05.1935–26.02.2016)
p. 373-376

Sommaire du Fascicule no. 3

In memory of Professor Stanislav Ivanovich Pokhozhaev, Corresponding Member of RAS
p. 379-380
Variational inequalities for the spectral fractional Laplacian
Rotationally symmetric viscous gas flows
p. 382-395
Image filtering with the use of anisotropic diffusion
p. 396-403
On the solvability of some nonlinear elliptic problems
p. 404-416
On a nonlinear nonlocal problem of elliptic type
p. 417-428
On the entropy solution to an elliptic problem in anisotropic Sobolev–Orlicz spaces
p. 429-447
Blow-up of solutions for a class of nondivergence elliptic inequalities
p. 448-458
Blow-up of solutions of some nonlinear inequalities in unbounded domains
p. 459-469
Regularity of solutions of the model Venttsel' problem for quasilinear parabolic systems with nonsmooth in time principal matrices
p. 470-490
On the curve of critical exponents for nonlinear elliptic problems in the case of a zero mass
p. 491-509
Stationary problem of complex heat transfer in a system of semitransparent bodies with boundary conditions of diffuse reflection and refraction of radiation
p. 510-535
Classical solutions of the Vlasov–Poisson equations with external magnetic field in a half-space
p. 536-552

Sommaire du Fascicule no. 4

Analytic continuation of the Appell function $F_1$ and integration of the associated system of equations in the logarithmic case
p. 555-587
On the length preserving approximation of plane curves by circular arcs
p. 588-604
Approximations to time-optimal boundary controls for weak generalized solutions of the wave equation
p. 605-624
An analytic-numerical method for the construction of the reference law of operation for a class of mechanical controlled systems
p. 625-632
Optimization of loading places and load response functions for stationary systems
p. 633-644
Pareto set reduction based on an axiomatic approach with application of some metrics
p. 645-653
On the holomorphic regularization of singularly perturbed systems of differential equations
p. 654-661
Third-order accurate conservative method on unstructured meshes for gasdynamic simulations
p. 662-681
Construction of edge-based 1-exact schemes for solving the Euler equations on hybrid unstructured meshes
p. 682-701
On the unique existence of the classical solution to the problem of electromagnetic wave diffraction by an inhomogeneous lossless dielectric body
p. 702-709
Entropy-conservative spatial discretization of the multidimensional quasi-gasdynamic system of equations
p. 710-729
On relationships between complexity classes of Turing machines
p. 730-743
A conjugate subgradient algorithm with adaptive preconditioning for the least absolute shrinkage and selection operator minimization

Sommaire du Fascicule no. 5

On the theory of singular optimal controls in dynamic systems with control delay
p. 747-767
Bernoulli substitution in the Ramsey model: Optimal trajectories under control constraints
p. 768-782
Dynamics and variational inequalities
p. 783-800
The projection Galerkin method for solving the time-independent differential diffusion equation in a semi-infinite domain
p. 801-813
Computer difference scheme for a singularly perturbed elliptic convection-diffusion equation in the presence of perturbations
p. 814-831
Inverse problem of determining the right-hand side in a degenerating parabolic equation with unbounded coefficients
p. 832-841
Time step selection for the numerical solution of boundary value problems for parabolic equations
p. 842-853
Time-independent reaction-diffusion equation with a discontinuous reactive term
p. 854-866
Algorithms for solving inverse problems in the optics of layered media based on comparing the extrema of spectral characteristics
p. 867-875
Comparison of additional second-order terms in finite-difference Euler equations and regularized fluid dynamics equations
p. 876-880
Influence of the lateral wall velocity on three-dimensional disturbance development in plane Poiseuille–Couette flow
p. 881-888
Sound field suppression in a waveguide equipped with a transverse packet resonator
p. 889-898
Upper bound for the length of functions over a finite field in the class of pseudopolynomials
p. 899-904

Sommaire du Fascicule no. 6

Computation of zeros of the alpha exponential function
p. 907-920
Synthesis of a rational filter in the presence of complete alternance
p. 921-933
Parametrization of the Cauchy problem for systems of ordinary differential equations with limiting singular points
p. 934-957
A relation between two simple localized solutions of the wave equation
p. 958-960
Parabolic equations with unknown time-dependent coefficients
p. 961-972
On power series representing solutions of the one-dimensional time-independent Schrödinger equation
p. 973-984
Well-posedness analysis and numerical implementation of a linearized two-dimensional bottom sediment transport problem
p. 985-1002
Stability of the Kolmogorov flow and its modifications
p. 1003-1022
Special discontinuities in nonlinearly elastic media
p. 1023-1032
Lebesgue averaging method in serial computations of atmospheric radiation
p. 1033-1047
Application of numerical schemes with singling out the boundary layer for the computation of turbulent flows using eddy-resolving approaches on unstructured grids
p. 1048-1060
Solution of the Wang Chang–Uhlenbeck equation for molecular hydrogen
p. 1061-1079
Convective heat and mass transfer in three-dimensional mixed convection flow of viscoelastic fluid in presence of chemical reaction and heat source/sink

Sommaire du Fascicule no. 7

Some properties of two-dimensional surjective $p$-homogeneous maps
p. 1083-1092
Necessary and sufficient conditions for the convergence of two- and three-point Newton-type iterations
p. 1093-1102
Convergence rate estimates for Tikhonov's scheme as applied to ill-posed nonconvex optimization problems
p. 1103-1112
The geometric series method for constructing exact solutions to nonlinear evolution equations
p. 1113-1125
How to avoid accuracy and order reduction in Runge–Kutta methods as applied to stiff problems
p. 1126-1141
Balance-characteristic scheme as applied to the shallow water equations over a rough bottom
p. 1142-1160
On approximate solution of the Dixon integral equation and some its generalizations
p. 1161-1169
Instantaneous blow-up of classical solutions to the Cauchy problem for the Khokhlov–Zabolotskaya equation
p. 1170-1175
Generalization of the optical theorem to multipole sources in the scattering theory of electromagnetic waves
p. 1176-1183
Steady-state flow of an incompressible viscoelastic polymer fluid between two coaxial cylinders
p. 1184-1197
Long nonlinear waves in anisotropic cylinders
p. 1198-1204
Slow nonisothermal flows: Numerical and asymptotic analysis of the Boltzmann equation
p. 1205-1229
A theoretical measure technique for determining $3\mathrm{D}$ symmetric nearly optimal shapes with a given center of mass
In memory of Yurii Petrovich Popov (02.05.1941–27.09.2016)
p. 1231-1240

Sommaire du Fascicule no. 8

On the 80th anniversary of birthday of Professor Andrei Igorevich Tolstykh
p. 1243-1247
Finding sets of solutions to systems of nonlinear inequalities
p. 1248-1254
An algorithm for dynamic reconstruction of the right-hand side of a second-order equation with distributed parameters
p. 1255-1269
Dual approaches to the minimization of strongly convex functionals with a simple structure under affine constraints
p. 1270-1284
Solving some problems for systems of linear ordinary differential equations with redundant conditions
p. 1285-1293
Mechanical quadrature method as applied to singular integral equations with logarithmic singularity on the right-hand side
p. 1294-1303
Nonlinear propagation of coupled electromagnetic waves in a circular cylindrical waveguide
p. 1304-1320
A hybrid method for numerical solution of Poisson’s equation in a domain with a dielectric corner
p. 1321-1330
Stability theory for a two-dimensional channel
p. 1331-1346
Direct numerical simulation of the laminar-turbulent transition at hypersonic flow speeds on a supercomputer
p. 1347-1373
Visualization of vortical flows in computational fluid dynamics
p. 1374-1391
Approximation algorithm for the problem of partitioning a sequence into clusters
p. 1392-1400

Sommaire du Fascicule no. 9

On the matrix Fourier filtering problem for a class of models of nonlinear optical systems with a feedback
p. 1403-1420
On the existence of mosaic-skeleton approximations for discrete analogues of integral operators
p. 1421-1432
Generalizations of Tikhonov’s regularized method of least squares to non-Euclidean vector norms
p. 1433-1443
Consistent convergence rate estimates in the grid $W_{2,0}^2(\omega)$ norm for difference schemes approximating nonlinear elliptic equations with mixed derivatives and solutions from $W_{2,0}^m(\Omega)$, $3$
p. 1444-1470
The $p$-order maximum principle for an irregular optimal control problem
p. 1471-1476
Optimization method in problems of acoustic cloaking of material bodies
p. 1477-1493
Multicriteria choice based on criteria importance methods with uncertain preference information
p. 1494-1502
Numerical solution of vector Sturm–Liouville problems with Dirichlet conditions and nonlinear dependence on the spectral parameter
p. 1503-1516
Locally one-dimensional difference scheme for a fractional tracer transport equation
p. 1517-1529
Vector domain decomposition schemes for parabolic equations
p. 1530-1547
On one model problem for the reaction-diffusion-advection equation
p. 1548-1559
New compacton solutions of an extended Rosenau–Pikovsky equation
p. 1560-1569
On contact instabilities of viscoplastic fluids in two-dimensional setting
p. 1570-1578

Sommaire du Fascicule no. 10

On some estimates for best approximations of bivariate functions by Fourier–Jacobi sums in the mean
p. 1581-1599
A splitting algorithm for the wavelet transform of cubic splines on a nonuniform grid
p. 1600-1614
Numerical optimization methods for controlled systems with parameters
p. 1615-1630
Iterative algorithm for minimizing a convex function at the intersection of a spherical surface and a convex compact set
p. 1631-1640
The varying piecewise interpolation solution of the Cauchy problem for ordinary differential equations with iterative refinement
p. 1641-1660
On one method for the analysis of the Cauchy problem for a singularly perturbed inhomogeneous second-order linear differential equation
p. 1661-1675
Finding discontinuities in the coefficients of the linear nonstationary transport equations
p. 1676-1691
A mixed problem for an inhomogeneous wave equation with a summable potential
p. 1692-1707
Modified discrete source method as applied to the simulation of flows over a periodically irregular surface and a body of revolution
p. 1708-1721
Evolution to a steady state for a rarefied gas flowing from a tank into a vacuum through a plane channel
p. 1722-1733
Numerical simulation of convective motion in an anisotropic porous medium and cosymmetry conservation
p. 1734-1747
Method for taking into account gravity in free-surface flow simulation
p. 1748-1762

Sommaire du Fascicule no. 11

On sharp estimates of the convergence of double Fourier–Bessel series
p. 1765-1770
Regularization of the double period method for experimental data processing
p. 1771-1781
On the construction of quadrature rules for Laplace transform inversion
p. 1782-1787
Minimum-Euclidean-norm matrix correction for a pair of dual linear programming problems
p. 1788-1803
Grid-characteristic method on embedded hierarchical grids and its application in the study of seismic waves
p. 1804-1811
Rapidly oscillating solutions of a generalized Korteweg–de Vries equation
p. 1812-1823
Difference scheme for an initial-boundary value problem for a singularly perturbed transport equation
p. 1824-1830
Linear instability of the state of rest for an incompressible polymer liquid upon injection from the cathode and heating from the top
p. 1831-1843
Breaking of two-dimensional relativistic electron oscillations under small deviations from axial symmetry
p. 1844-1859
Application of the Jacobi functional equation and the ATS theorem in a quantum optical model
p. 1860-1881
Model kinetic equation for polyatomic gases
p. 1882-1894
A multithreaded OpenMP implementation of the LU-SGS method using the multilevel decomposition of the unstructured computational mesh
p. 1895-1905
Logical correctors in the problem of classification by precedents
p. 1906-1927
In memory of Academician Lyudwig Dmitrievich Faddeev
p. 1928-1930

Sommaire du Fascicule no. 12

Inverse linear difference operators
p. 1933-1945
Inscribed balls and their centers
p. 1946-1954
Recovery of a rapidly oscillating source in the heat equation from solution asymptotics
p. 1955-1965
Numerical leak detection in a pipeline network of complex structure with unsteady flow
p. 1966-1982
Hölder estimates for the regular component of the solution to a singularly perturbed convection-diffusion equation
p. 1983-2020
Differential and difference boundary value problem for loaded third-order pseudo-parabolic differential equations and difference methods for their numerical solution
p. 2021-2041
Difference schemes on nonuniform grids for the two-dimensional convection-diffusion equation
p. 2042-2052
Control of a heat conduction process with a quadratic cost functional
p. 2053-2064
Generalized Boltzmann-type equations for aggregation in gases
p. 2065-2078
A parallel implementation of the algebraic multigrid method for solving problems in dynamics of viscous incompressible fluid
p. 2079-2097
Numerical solution for a variable-order fractional nonlinear cable equation via Chebyshev cardinal functions