Geodesic

Sommaire du Fascicule no. 1

Strategies on the evaluation of binomial coefficients for all integers
Проекции точки на полиэдр
p. 4-19
Difference approximations of optimization problems for semilinear elliptic equations in a convex domain with controls in the coefficients multiplying the highest derivatives
p. 20-46
Parallel algorithm for calculating the invariant sets of high-dimensional linear systems under uncertainty
p. 47-57
Numerical solution of the Painlevé V equation
p. 58-71
Fourth order finite difference method for sixth order boundary value problems
An inverse finance problem for estimation of the volatility
The method of cauchy problem for solving a nonlinear eigenvalue transmission problem for TM waves propagating in a layer with arbitrary nonlinearity
p. 74-89
Propagation of perturbations in a two-layer stratified rotating fluid with an interface excited by moving sources
p. 90-118
The problem of ranking nonreusable interval objects specified by three points
p. 119-132
Количественная важность критериев и аддитивные функции ценности
p. 133-142
Точные псевдополиномиальные алгоритмы для некоторых труднорешаемых задач поиска подпоследовательности векторов
p. 143-153
О максимальной мощности множества, $(k,l)$-свободного от сумм, в абелевой группе
p. 154-162
In memory of Professor Vera Nikolaevna Kublanovskaya
p. 163-168

Sommaire du Fascicule no. 2

On the 90th anniversary of birthday of Academician Nikolay Nikolaevich Yanenko
p. 171-180
Iterative method for constructing coverings of the multidimensional unit sphere
p. 181-194
Аналитический подход к изучению граничного эффекта в одномерном рандомизированном численном алгоритме построения адаптивных сеток
p. 195-208
Nonuniform covering method as applied to multicriteria optimization problems with guaranteed accuracy
p. 209-224
Equilibrium price as a coincidence point of two mappings
p. 225-237
On the influence of setup parameters on the control of solidification in metal casting
p. 238-248
Numerical solution of the Painlevé VI equation
p. 249-262
An analysis of a vacuum diode model
High-order accurate monotone compact running scheme for multidimensional hyperbolic equations
p. 264-274
An iterative method for solving an inverse problem for a first-order nonlinear partial differential equation with estimates of guaranteed accuracy and the number of steps
p. 275-280
Geometric numerical schemes for the KdV equation
О спектре одномерных колебаний в среде из слоев упругого материала и вязкоупругого материала Кельвина–Фойгта
p. 282-290
Algorithm for reduced grid generation on a sphere for a global finite-difference atmospheric model
p. 291-308
Нахождение формы несимметричного крылового профиля с выдувом реактивной струи навстречу набегающему потоку
p. 309-320
Приближенное аналитическое решение систем обыкновенных дифференциальных уравнений с полиномиальной правой частью
p. 321-328

Sommaire du Fascicule no. 3

Numerical solution of matrix equations of the form $X+AX^{\mathrm T}B=C$
p. 331-335
A second-order iterative method for solving quasi-variational inequalities
p. 336-342
Generalized symmetric accelerated over relaxation method for solving absolute value complementarity problems
Two algorithms for finding the projection of a point onto a nonconvex set in a normed space
p. 344-349
Finding bifurcations for solutions of nonlinear equations by quadratic programming methods
p. 350-364
Contrast structures in the reaction-diffusion-advection equations in the case of balanced advection
p. 365-376
Numerical solution of differential-algebraic equations using the spline collocation-variation method
p. 377-389
Exact method for solving nonstationary stochastic wave problems
p. 390-395
Simulation of coupled heat exchange on unstructured meshes
p. 396-416
Numerical simulation of shear layer instability using a scheme with ninth-order multioperator approximations
p. 417-432
Numerical simulation of the three-dimensional Kolmogorov flow in a shear layer
p. 433-441
Explicit-implicit difference scheme for the joint solution of the radiative transfer and energy equations by the splitting method
p. 442-458
Analytical solution of the second Stokes problem for rarefied gas with Cercignani boundary conditions
p. 459-474
Nonself-similar flow with a shock wave reflected from the center of symmetry and new self-similar solutions with two reflected shocks
p. 475-494
Extendable essay as a hypertext scheme for information and educational material
p. 495-501
In memory of Academician Vasilii Sergeevich Vladimirov
p. 502-504

Sommaire du Fascicule no. 4

Study of convergence rate and efficiency of two-phase methods for approximating the Edgeworth–Pareto hull
p. 507-519
Solving two subproblems that complete the classification of pairs of commuting Hankel matrices
p. 520-522
Об одном численном алгоритме вычисления топологических характеристик трехмерных тел
p. 523-530
Interval optimal control problem in a Hilbert space
p. 531-537
To the theory of asymptotically stable second-order accurate two-stage scheme for an inhomogeneous parabolic initial-boundary value problem
p. 538-574
Conditioning and stability of finite difference schemes on uniform meshes for a singularly perturbed parabolic convection-diffusion equation
p. 575-599
Tenth-order accurate multioperator scheme and its application in direct numerical simulation
p. 600-614
Calculating the surface currents in electromagnetic scattering by screens of complex geometry
p. 615-623
Effect of cubic nonlinearity on soliton solutions of the Benjamin–Bona–Mahony equation
p. 624-633
Модифицированный метод сплайновой аппроксимации для функции нескольких переменных
p. 634-638
Linear chaotic resonance in vortex motion
p. 639-655
Implementation and comparison of various approaches to solving coupled thermal analysis problems on unstructured meshes
p. 656-674
Осесимметричное проводящее тело в соосном электрическом поле
p. 675-684
In memory of Academician Sergei Mikhailovich Nikol'skii
p. 685-688

Sommaire du Fascicule no. 5

An extension of the Krylov method for calculating the coefficients of the minimal polynomial
p. 691-700
Theoretical investigation on error analysis of Sinc approximation for mixed Volterra–Fredholm integral equation
A method for the numerical solution of the Painlevé equations
p. 702-726
Application of semiorthogonal spline wavelets and the Galerkin method to the numerical simulation of thin wire antennas
p. 727-736
Features of the behavior of solutions to a nonlinear dynamical system in the case of two-frequency parametric resonance
p. 737-743
Asymptotic expansions of solutions to inverse problems for a hyperbolic equation with a small parameter multiplying the highest derivative
p. 744-752
The Cauchy problem for the radiative transfer equation with generalized conjugation conditions
p. 753-766
Implicit multiblock method for solving a kinetic equation on unstructured meshes
p. 767-782
Multiplicity of eigenvalues in certain boundary value problems for the Helmholtz equation
p. 783-791
Limiting solitons and kinks in two-dimensional discrete systems
p. 792-799
On systems of Boolean equations
p. 800-807
Estimation of the reliability of a classification algorithm as based on a new information model
p. 808-815
Cones of multipowers and combinatorial optimization problems
p. 816-824
Characterization of the types of maximum noninteger vertices in the relaxation polyhedron of the four-index axial assignment problem
p. 825-836
In memory of Professor Lev Dmitrievich Kudryavtsev
p. 837-840

Sommaire du Fascicule no. 6

Numerical algorithms for solving matrix equations $AX+BX^T=C$ and $AX+BX^*=C$
p. 843-852
Modifying a numerical algorithm for solving the matrix equation $X+AX^TB=C$
p. 853-856
Conditionally well-posed and generalized well-posed problems
p. 857-866
Minimization of a convex functional in a linear system of delay differential equations with fixed ends
p. 867-877
Scheme for interpretation of approximately computed eigenvalues embedded in a continuous spectrum
p. 878-897
CABARET scheme in velocity-pressure formulation for two-dimensional incompressible fluids
p. 898-913
An algorithm for solving a linear two-point boundary value problem for an integrodifferential equation
p. 914-937
Grid construction for discretely defined configurations
p. 938-945
A numerical method for solving partial differential algebraic equations
p. 946-957
Application of perturbation theory to the solvability analysis of differential algebraic equations
p. 958-969
Verification of software codes for simulation of unsteady flows in a gas centrifuge
p. 970-978
On an algorithm for finding the electric potential distribution in the DG-MOSFET transistor
p. 979-1003
On measurement of electrical conductivity
p. 1004-1007
Computation of a shock wave structure in monatomic gas with accuracy control
p. 1008-1026
Computer algebra methods in the study of nonlinear differential systems
p. 1027-1040
Mathematical simulation of the evolution of a liquid-liquid interface in piecewise inhomogeneous layers of complex geological structure
p. 1041-1048

Sommaire du Fascicule no. 7

Some issues concerning approximations of functions by Fourier–Bessel sums
p. 1051-1057
Modification of a method for solving the multiparameter eigenvalue problem for systems of loosely coupled ordinary differential equations
p. 1058-1066
Linear parabolic problem: High-frequency asymptotics in the critical case
p. 1067-1081
Discretization of solutions to Poisson’s equation in the Korobov class
p. 1082-1093
Mixed problem for a harmonic function
p. 1094-1106
Efficient computational algorithms for solving one class of fractional boundary value problems
Analytical-numerical solution of a nonlinear integrodifferential equation in econometrics
p. 1108-1112
Solution of boundary value problems for waveguides with anisotropic filling
p. 1113-1123
Mathematical simulation of acoustic wave refraction near a caustic
p. 1124-1138
Active noise cancellation in a waveguide in the presence of flow
p. 1139-1149
Nonlinear transmission eigenvalue problem describing TE wave propagation in two-layered cylindrical dielectric waveguides
p. 1150-1161
Asymptotic distribution of the eigenvalues and eigenfunctions in basic boundary value oscillation problems in hemitropic elasticity
p. 1162-1177
Application of functional error estimates with mixed approximations to plane problems of linear elasticity
p. 1178-1191
The fractional step domain decomposition method for numerical solution of a class of viscous wave equations
Solution of a kinetic equation for diatomic gas with the use of differential scattering cross sections computed by the method of classical trajectories
p. 1193-1211
Recognition of a sequence as a structure containing series of recurring vectors from an alphabet
p. 1212-1224

Sommaire du Fascicule no. 8

On certain decompositions of complex inverse Toeplitz matrices and related fast algorithms for solving linear systems with Toeplitz coefficient matrices
p. 1227-1232
Convergence rate estimates for “spherical” partial sums of double Fourier series
p. 1233-1240
Continuous first-order methods for monotone inclusions in a Hilbert space
p. 1241-1248
Sequential stable Kuhn–Tucker theorem in nonlinear programming
p. 1249-1271
On the attraction of Newton’s method to critical Lagrange multipliers
p. 1272-1286
A method for solving linear differential-algebraic systems of equations supplemented with nonlocal conditions specified by the Stieltjes integral
p. 1287-1290
A singularly perturbed elliptic problem in the case of a multiple root of the degenerate equation
p. 1291-1301
Approximate grid solution of a nonlocal boundary value problem for Laplace’s equation on a rectangle
p. 1302-1313
Flux-splitting schemes for parabolic equations with mixed derivatives
p. 1314-1328
Discretization of second-order ordinary differential equations with symmetries
p. 1329-1355
About inclusion of Maxwell’s equations in systems relativistic of the invariant equations
p. 1356-1359
Adaptation and optimization of basic operations for an unstructured mesh CFD algorithm for computation on massively parallel accelerators
p. 1360-1373
Fast iteration method in the problem of waves interacting with a set of thin screens
p. 1374-1386
Recurrence formulas for long wavelength asymptotics in the problem of shear flow stability
p. 1387-1401
Rarefied gas flow through a pipe of variable square cross section into vacuum
p. 1402-1411
In memory of Academician Andrei Aleksandrovich Gonchar
p. 1412-1416

Sommaire du Fascicule no. 9

Some new estimates of the Fourier transform in $\mathbb{L}_2(\mathbb{R})$
p. 1419-1426
A steplike contrast structure in a singularly perturbed system of elliptic equations
p. 1427-1447
An analysis of multistep methods for solving integral-algebraic equations: Construction of stability domains
p. 1448-1459
On the stability of an implicit spline collocation difference scheme for linear partial differential algebraic equations
p. 1460-1479
Efficient Jacobi–Gauss collocation method for solving initial value problems of Bratu-type
Hybrid schemes with high-order multioperators for computing discontinuous solutions
p. 1481-1502
Parametric weighted minimax estimates in Monte-Carlo methods
p. 1503-1516
Method of equivalent differences for the neutron transport equation
p. 1517-1530
Dynamics of water evaporation fronts
p. 1531-1553
On the exact solitary wave solutions of a special class of Benjamin–Bona–Mahony equation
Existence of transitions between stationary regimes of the Navier–Stokes equations in the entire space
p. 1555-1568
Implementation of Boolean functions with a bounded number of zeros by disjunctive normal forms
p. 1569-1588
Algorithms using first-order neighborhoods for minimization of Boolean functions
p. 1589-1600

Sommaire du Fascicule no. 10

A family of operators with discontinuous ranges and approximation and restoration of continuous functions
p. 1603-1609
Monotone and convex interpolation by weighted cubic splines
p. 1610-1621
Some new estimates of the Fourier–Bessel transform in the space $\mathbb{L}_2(\mathbb{R}_+)$
p. 1622-1628
Numerical-analytical method for conformal mapping of polygons with six right angles
p. 1629-1638
Efficient algorithms for orthogonal packing problems
p. 1639-1648
On one class of dynamic transportation models
p. 1649-1667
Method for finding an approximate solution of the asphericity problem for a convex body
p. 1668-1678
Solvability analysis of a nonlocal boundary value problem by applying the contraction mapping principle
p. 1679-1683
Bicompact Rogov schemes for the multidimensional inhomogeneous linear transport equation at large optical depths
p. 1684-1697
Nonreflecting distortions of an isotropic strip clamped between rigid punches
p. 1698-1708
Numerical simulation of seismic activity by the grid-characteristic method
p. 1709-1720
Application of moment equations to the mathematical simulation of gas microflows
p. 1721-1738
Axisymmetric instability of pressure-driven flow in an annular channel at high Reynolds numbers
p. 1739-1745
The use of high-order composite compact schemes for computing supersonic jet interaction with a surface
p. 1746-1759
Non-isothermal flow through a rotating straight duct with wide range of rotational parameter and pressure driven parameter

Sommaire du Fascicule no. 11

On the 100th anniversary of birthday of Academician Aleksandr Danilovich Aleksandrov
p. 1763-1767
Asymptotics of the solution of Laplace’s equation with third-type boundary conditions on the boundaries of two small holes
p. 1768-1783
Inverse problem for the diffusion equation in the case of spherical symmetry
p. 1784-1790
Discontinuous mixed penalty-free Galerkin method for second-order quasilinear elliptic equations
p. 1791-1803
Rotating waves in parabolic functional differential equations with rotation of spatial argument and time delay
p. 1804-1821
The existence and non-existence of traveling waves of scalar reaction-diffusion-advection equation in unbounded cylinder
Formalism of two potentials for the numerical solution of Maxwell's equations
p. 1823-1834
Asymptotic and numerical study of resonant tunneling in two-dimensional quantum waveguides of variable cross section
p. 1835-1855
Numerical study of the Couette flow of a diatomic rarefied gas
p. 1856-1868
On the structure of steady axisymmetric Navier-Stokes flows with a stream function having multiple local extrema in its definite-sign domains
p. 1869-1893
Nonconservative scheme with the isentropic condition in rarefaction waves as applied to the compressible Euler equations
p. 1894-1902
Nonlinear stability of a parabolic velocity profile in a plane periodic channel
p. 1903-1922
Numerical optimization methods for packing equal orthogonally oriented ellipses in a rectangular domain
p. 1923-1938
In memory of Gorimir Gorimirovich Chernuy
p. 1939-1944

Sommaire du Fascicule no. 12

On the anniversary of Professor Natal'ya Mikhailovna Novikova
p. 1947-1950
$p$th-order approximation of the solution set of nonlinear equations
p. 1951-1969
The bilinear complexity and practical algorithms for matrix multiplication
p. 1970-1984
Error estimates of cubature formulas exact for Haar polynomials in classes of two-variable functions satisfying a general Lipschitz condition
p. 1985-1996
Cubature formulas for a two-variable function with boundary-layer components
p. 1997-2007
Shooting method for solving equilibrium programming problems
p. 2008-2013
Numerical methods for solving applied optimal control problems
p. 2014-2028
Smooth finite-dimensional approximations of distributed optimization problems via control discretization
p. 2029-2043
Control of boundary impedance in two-dimensional material-body cloaking by the wave flow method
p. 2044-2061
Numerical solutions and solitary wave solutions of fractional KdV equations using modified fractional reduced differential transform method
Computation of the attractive force of an ellipsoid
p. 2063-2071
Influence of dislocations on kink solutions of the double sine-Gordon equation
p. 2072-2081
Features of the behavior of a liquid film heated from above and placed over deep liquid
p. 2082-2090
Iterative method for solving geometrically nonlinear inverse problems of structural element shaping under creep conditions
p. 2091-2099
Oblique projectors and relative forms in image morphology
p. 2100-2122
In memory of Aleksandr Ivanovich Aleksandrovich
p. 2123-2127