Geodesic

Sommaire du Fascicule no. 1

Finite-difference proof of the completeness of eigenfunctions of the Sturm–Liouville operator in conservative form
p. 3-9
Investigation and improvement of biased Monte-Carlo estimates
p. 10-21
Estimating the smoothness of the regular component of the solution to a one-dimensional singularly perturbed convection-diffusion equation
p. 22-33
The Cauchy problem for Tikhonov’s system in the case of a multiple root of the degenerate equation
p. 34-45
Solving the multiparameter eigenvalue problem for weakly coupled systems of second order Hamilton equations
p. 46-55
Instability of a nonlinear system of two oscillators under main and combination resonances
p. 56-73
Asymptotic analysis of linear parabolic problems with singularities
p. 74-88
Recovery of the coefficient of $u_t$ in the heat equation from a condition of nonlocal observation in time
p. 89-104
Effective solution of the problem of motion of an infinite string with an attached point mass
p. 105-112
Application of coordinate transformations in numerical simulation of tsunami runup by the large particle method
p. 113-120
Basic properties of lattices of cubes, algorithms for their construction, and application capabilities in discrete optimization
p. 121-134
Binary functions of multivalued arguments: generalization and investigation of disjunctive normal forms for such functions
p. 135-144
Parallel algorithm for computing points on a computation front hyperplane
p. 145-152
Bourbaki’s structure theory in the problem of complex systems simulation models synthesis and model-oriented programming
p. 153-164
Fast method for verifying Chernikov rules in Fourier–Motzkin elimination
p. 165-172
In memory of Natalya Aleksandrovna Meller
p. 173-176

Sommaire du Fascicule no. 2

Invariant Laplacian-involving cubature formulas
p. 179-184
How to characterize $(T+H)$-matrices and $(T+H)$-circulants
p. 185-188
Property of polynomials in two projectors
p. 189-192
Constructing two-step iterative methods with and without memory
Asymptotics of the solution to a singularly perturbed linear-quadratic optimal control problem
p. 194-206
Algorithm for recalculating the generatrix lines of a finitely generated fuzzy cone after adding a generatrix to its dual cone
p. 207-212
On the convergence of the conditional gradient method as applied to the optimization of an elliptic equation
p. 213-228
The resolvent approach for the wave equation
p. 229-241
Asymptotic expansions of solutions in a singularly perturbed model of virus evolution
p. 242-252
Stability of nonstationary solutions of the generalized KdV-Burgers equation
p. 253-266
On spatial discretization of the one-dimensional quasi-gasdynamic system of equations with general equations of state and entropy balance
p. 267-284
Simulation of particle aggregate dynamics in a viscous fluid
p. 285-294
Axisymmetric instability of the Poiseuille–Couette flow between concentric cylinders at high Reynolds numbers
p. 295-301
Comparative analysis of eddy cascade formation in various turbulent problems
p. 302-309
Domain decomposition method for a model crack problem with a possible contact of crack edges
p. 310-321
Error estimation for computed polycrystalline texture characteristics by varying measurement parameters in electron microscopy methods
p. 322-334
A randomized algorithm for two-cluster partition of a set of vectors
p. 335-344
Prediction of chaotic dynamical processes based on detection of regular component
p. 345-352

Sommaire du Fascicule no. 3

On efficient randomized algorithms for finding the PageRank vector
p. 355-371
Consistency and inconsistency radii for solving systems of linear equations and inequalities
p. 372-384
Solving a singular nonlocal problem with redundant conditions for a system of linear ordinary differential equations
p. 385-392
A higher order accurate solution decomposition scheme for a singularly perturbed parabolic reaction-diffusion equation
p. 393-416
Subdomain finite element method with quartic $\mathrm{B}$-splines for the modified equal width wave equation
Comparison of scalar and vector FEM forms in the case of an elliptic cylinder
p. 418-428
Leader in a diffusion competition model
p. 429-434
Numerical analysis of soliton solutions of the modified Korteweg–de Vries–sine-Gordon equation
p. 435-445
Asymptotic representation of the electromagnetic field of a dielectric waveguide near a corner point of the line of discontinuity of permittivity
p. 446-459
Eigenvalue transmission problems describing the propagation of TE and TM waves in two-layered inhomogeneous anisotropic cylindrical and planar waveguides
p. 460-468
Numerical simulation of wave motions on a rotating attracting spherical zone
p. 469-487
Numerical simulation of gas flows through a cubic pack of nonspherical particles
p. 488-501
Analysis of regimes of magnetogasdynamic interaction between a current layer and an argon flow
p. 502-511
Numerical computation of wave propagation in fractured media by applying the grid-characteristic method on hexahedral meshes
p. 512-522
Bifurcation model of the laminar-turbulent transition in simple flows
p. 523-529
Regression model based on convex combinations best correlated with response
p. 530-544

Sommaire du Fascicule no. 4

On the 90th anniversary of birthday of Aleksey Georgievich Sveshnikov
p. 547-549
A bilinear algorithm of length $22$ for approximate multiplication of $2\times 7$ and $7\times 2$ matrices
p. 550-554
Solvability conditions for the matrix equation $X^{\mathrm{T}}DX+AX+X^{\mathrm{T}}B+C=0$
p. 555-557
Algorithm for summation of divergent continued fractions and some applications
p. 558-573
Tikhonov regularization for mathematical programs with generalized complementarity constraints
Application of Krein’s series to calculation of sums containing zeros of the Bessel functions
p. 575-581
On the efficiency of a randomized mirror descent algorithm in online optimization problems
p. 582-598
A nonlinear singular eigenvalue problem for a Hamiltonian system of differential equations with redundant condition
p. 599-609
Dynamics of strongly coupled spatially distributed logistic equations with delay
p. 610-620
Resolvent approach to the Fourier method in a mixed problem for the wave equation
p. 621-630
Transformation of sine-Gordon solitons in models with variable coefficients and damping
p. 631-640
Parallel technology for numerical modeling of fluid dynamics problems by high-accuracy algorithms
p. 641-652
On a problem in the dynamics of a thermoviscoelastic medium with memory
p. 653-668
Generalized functions and additional boundary conditions in heat conduction problems for multilayered bodies
p. 669-680
Numerical simulation of gas flows around aircraft with allowance for the flow/exhaust jet interaction
p. 681-694
Study of steady-state heat distribution in a plane with a crack in the case of variable internal thermal conductivity
p. 695-703
Production model in the conditions of unstable demand taking into account the influence of trading infrastructure: Ergodicity and its application
p. 704-729
On the multiplicative complexity of some Boolean functions
p. 730-736

Sommaire du Fascicule no. 5

Centrosymmetric property of unitary matrices that preserve the set of $(T+H)$-matrices under similarity transformations
p. 739-741
Numerical methods for control optimization in linear systems
p. 742-757
Optimal control of linear systems with interval constraints
p. 758-775
Dynamic method of multipliers in terminal control
p. 776-797
Calculation of the spheroidal functions of the first kind for complex values of the argument and parameters
p. 798-806
Flat expansions and their applications
p. 807-821
An effective method for numerical solution and numerical derivatives for sixth order two-point boundary value problems
Phase space of the initial-boundary value problem for the Oskolkov system of nonzero order
p. 823-829
Problems of determining the unknown source in parabolic and hyperbolic equations
p. 830-835
Approximate solution of Wiener–Hopf integral equations and its discrete counterparts
p. 836-845
On spectral geometry for the one-speed particle transport operator
p. 846-849
Linear instability of solutions in a mathematical model describing polymer flows in an infinite channel
p. 850-875
Numerical simulation of Rayleigh–Taylor instability in inviscid and viscous media
p. 876-885
Method for direct numerical simulation of turbulent gas flows in curvilinear coordinates
p. 886-894
Asymptotically optimal dualization algorithms
p. 895-910
In memory of Professor Boris Vasil'evich Pal'tsev
p. 911-912

Sommaire du Fascicule no. 6

On the 75th anniversary of birthday of Professor Valentin Fedorovich Butuzov
p. 915-916
Sharp estimates for the convergence rate of Fourier–Bessel series
p. 917-927
On the instability of symmetric formulas for numerical differentiation and integration
p. 928-932
New implementations of the 2-factor method
p. 933-946
Stable sequential Kuhn–Tucker theorem in iterative form or a regularized Uzawa algorithm in a regular nonlinear programming problem
p. 947-977
A fifth order implicit method for the numerical solution of differential-algebraic equations
p. 978-984
Numerical approach for solving neutral differential equation with deviating argument
Embedded symmetric nested implicit Runge–Kutta methods of Gauss and Lobatto types for solving stiff ordinary differential equations and Hamiltonian systems
p. 986-1007
Dynamic reconstruction of the right-hand side of a hyperbolic equation
p. 1008-1019
Computational identification of the right-hand side of a parabolic equation
p. 1020-1027
On solving the dispersion relations for waves in guiding electrodynamic structures on the complex planes of wavenumbers
p. 1028-1038
On $t$-local solvability of inverse scattering problems in two-dimensional layered media
p. 1039-1057
Preconditioning of gas dynamics equations in compressible gas flow computations at low mach numbers
p. 1058-1075
An approximation polynomial-time algorithm for a sequence bi-clustering problem
p. 1076-1085
In memory of Professor Valentin Mikhailovich Verzhbitskii
p. 1086-1088

Sommaire du Fascicule no. 7

Approximation of functions by two-point Hermite interpolating polynomials
p. 1091-1108
Sharp estimates for the rate of convergence of double Fourier series in classical orthogonal polynomials
p. 1109-1117
On integration contour deformation in a Laplace transform inversion formula
p. 1118-1124
Nearly optimal coverings of a sphere with generalized spherical segments
p. 1125-1135
Blue sky catastrophe as applied to modeling of cardiac rhythms
p. 1136-1155
A resolvent approach in the Fourier method for the wave equation: The non-selfadjoint case
p. 1156-1167
Multigrid method for elliptic equations with anisotropic discontinuous coefficients
p. 1168-1182
Inverse problem of determining the absorption coefficient in the multidimensional heat equation with unlimited minor coefficients
p. 1183-1195
Hybrid running schemes with upwind and bicompact symmetric differencing for hyperbolic equations
p. 1196-1207
Reflection of a plane sound wave from the boundary of a heterogeneous medium consisting of elastic and viscoelastic layers
p. 1208-1220
Evolution of disturbances on the surface of an elastic plate in supersonic gas flow
p. 1221-1237
A mathematical model of pollutant propagation in near-ground atmospheric layer of a coastal region and its software implementation
p. 1238-1254
Eddy-resolving numerical scheme for simulation of turbulent incompressible flows
p. 1255-1265
Shortest and minimal disjunctive normal forms of complete functions
p. 1266-1280

Sommaire du Fascicule no. 8

On the 75th birthday of professor Anton Pavlovich Favorskii
p. 1283-1291
A one-parameter family of difference schemes for the numerical solution of the Keplerian problem
p. 1292-1298
Estimates of the hyperbolization effect on the heat equation
p. 1299-1304
On the solution of evolution equations based on multigrid and explicit iterative methods
p. 1305-1319
On an algorithm for solving parabolic and elliptic equations
p. 1320-1328
Providing the divergence-free property of the magnetic field when solving the MHD equations by the RKDG method
p. 1329-1340
Difference schemes based on the support operator method for fluids dynamics problems in a collector containing gas hydrates
p. 1341-1355
Method of adaptive artificial viscosity for solving the Navier–Stokes equations
p. 1356-1362
Numerical simulation of three-dimensional quasi-neutral gas flows based on smoothed magnetohydrodynamic equations
p. 1363-1379
Numerical simulation of dynamic processes in biomechanics using the grid-characteristic method
p. 1380-1390
The Riemann problem in the quasi-one-dimensional approximation
p. 1391-1404
Numerical models of steady-state and pulsating flows of self-ionizing gas in plasma accelerator channels
p. 1405-1416
Mathematical modeling of quasi-one-dimensional hemodynamics
p. 1417-1428
Application of the Schwarz alternating method for simulating the contact interaction of a system of bodies
p. 1429-1443
Roe–Einfeldt–Osher scheme as applied to the mathematical simulation of accretion disks on parallel computers
p. 1444-1456

Sommaire du Fascicule no. 9

On the 80th anniversary of birthday of Academician Yurii Ivanovich Zhuravlev
Differentiating matrix orthogonal transformations
p. 1460-1473
Informative cardinality of trigonometric Fourier coefficients and their limiting error in the discretization of a differentiation operator in multidimensional Sobolev classes
p. 1474-1485
On estimates for solutions of systems of convex inequalities
p. 1486-1492
An extension of the gradient projection method and Newton's method to extremum problems constrained by a smooth surface
p. 1493-1502
Infinite-horizon stable control of a parabolic equation
p. 1503-1510
Sparse representation of system of Fredholm integro-differential equations by using Alpert multiwavelets
p. 1468-1483
Adaptive $hp$-finite element method for solving boundary value problems for the stationary reaction–diffusion equation
p. 1512-1529
Numerical solution of linear differential-algebraic systems of partial differential equations
p. 1530-1544
Parameter-free method for computing the turbulent flow in a plane channel in a wide range of Reynolds numbers
p. 1545-1558
Statistical mechanics of vortex hydrodynamic structures
p. 1559-1565
Particle method for electrons in a scattering medium
p. 1566-1578
Solution of the Riemann problem in twoand three-temperature gas dynamics
p. 1579-1585
Systems of quasilinear conservation laws and algorithmization of variational principles
p. 1586-1598
On the elasticity of blood vessels in one-dimensional problems of hemodynamics
p. 1599-1610
Numerical simulation of cryosurgeries and optimization of probe placement
p. 1611-1622
Issues of dynamic graph theory
p. 1623-1629
In memory of Academician Vladimir Aleksandrovich Il'in
p. 1630-1632

Sommaire du Fascicule no. 10

On the 70th anniversary of birthday of Professor Aleksandr Nikolaevich Bogolyubov
p. 1635-1636
Iterative methods of stochastic approximation for solving non-regular nonlinear operator equations
p. 1637-1645
Weighted versions of Gl-FOM and Gl-GMRES for solving general coupled linear matrix equations
p. 1606-1618
Asymptotic properties of the estimate refinement method in polyhedral approximation of multidimensional balls
p. 1647-1660
The Dines theorem and some other properties of quadratic mappings
p. 1661-1669
Sufficient optimality conditions for a class of nonconvex control problems
p. 1670-1680
Decomposition of the problem of approximating the Edgeworth–Pareto hull
p. 1681-1693
Method for constructing approximate analytic solutions of differential equations with a polynomial right-hand side
p. 1694-1702
On uniform approximations to the solution of the Abel integral equation
p. 1703-1712
Eigenmodes of a thin elastic layer between periodic rigid profiles
p. 1713-1726
An iterative $\mathrm{KP}_1$ method for solving the transport equation in $\mathrm{3D}$ domains on unstructured grids
p. 1727-1740
A new version of the discrete ordinate method for the calculation of the intrinsic radiation in horizontally homogeneous atmospheres
p. 1741-1755
Rhie–Chow interpolation in strong centrifugal fields
p. 1756-1761
Application of the grid-characteristic method on unstructured tetrahedral meshes to the solution of direct problems in seismic exploration of fractured layers
p. 1762-1772
Numerical study of a quasi-hydrodynamic system of equations for flow computation at small mach numbers
p. 1773-1782
Computation of shock waves in plasma
p. 1783-1800

Sommaire du Fascicule no. 11

Convergence of hausdorff approximation methods for the Edgeworth–Pareto hull of a compact set
p. 1803-1811
Boundary value problem of Pontryagin's maximum principle in a two-sector economy model with an integral utility function
p. 1812-1826
A numerical method for solving systems of nonlinear equations
p. 1827-1834
Numerical continuation of solution at singular points of codimension one
p. 1835-1856
A global attractor for one semilinear hyperbolic equation with memory operator
p. 1857-1869
On exact solutions of a nonclassical partial differential equation
p. 1870-1875
Difference scheme for a singularly perturbed parabolic convection–diffusion equation in the presence of perturbations
p. 1876-1892
Mathematical modeling of the nonlinear electrodynamics effect of signal delay in the magnetic field of pulsars
p. 1893-1903
Interference head wave in diffraction of waves from a point source by an inhomogeneous half-plane
p. 1904-1920
Numerical study of solitary waves and reversible shock structures in tubes with controlled pressure
p. 1921-1936
Effects of partial slip on the peristaltic transport of a hyperbolic tangent fluid model in an asymmetric channel
A combined approach to the estimation of statistical error of the direct simulation Monte Carlo method
p. 1938-1951
On pseudo-Boolean polynomials
p. 1952-1958
Some approaches to the solution of optimization problems in supervised learning
p. 1959-1966
In memory of Academician Arkadii Viktorovich Kryazhimskii
p. 1967-1976

Sommaire du Fascicule no. 12

Bounds on the transformed errors of solutions to SLAEs with ill-conditioned matrices
p. 1979-1985
New family of iterative methods based on the Ermakov–Kalitkin scheme for solving nonlinear systems of equations
p. 1986-1998
Approximation of functions by asymmetric two-point hermite polynomials and its optimization
p. 1999-2014
Generalized Edgeworth–Pareto principle
p. 2015-2021
A proximal method for solving quasi-variational inequalities
p. 2022-2026
Necessary and sufficient conditions for the polynomial convergence of the quasi-reversibility and finite-difference methods for an ill-posed Cauchy problem with exact data
p. 2027-2041
Internal layers in the one-dimensional reaction–diffusion equation with a discontinuous reactive term
p. 2042-2048
Asymptotic periodic solution of the Cauchy problem for the Langmuir lattice
p. 2049-2054
Scattering of solitons by dislocations in the modified Korteweg de Vries–sine-Gordon equation
p. 2055-2066
Complex conservative difference schemes for computing supersonic flows past simple aerodynamic forms
p. 2067-2092
Comparative analysis of computational methods for periodic transonic flows at low and high frequencies
Mathematical model and numerical simulation of aluminum casting and solidification in magnetic fields with allowance for free surface dynamics
p. 2094-2108
Preconditioning of Navier–Stokes equations in the computation of free convective flows
p. 2109-2122
Construction of a correct combination of estimation algorithms adjusted using the cross validation technique
p. 2123-2129