Geodesic

Sommaire du Fascicule no. 1

On the 75th anniversary of birthday of Yurii Sergeevich Osipov
Takagi’s decomposition of a symmetric unitary matrix as a finite algorithm
p. 4-7
Control optimization in a hyperbolic linear system
p. 8-23
Finite-element solution of a model mechanical problem with friction based on a smoothing Lagrange multiplier method
p. 24-34
Nonadaptive methods for polyhedral approximation of the Edgeworth–Pareto hull using suboptimal coverings on the direction sphere
p. 35-47
Algorithmic decision rule using ordinal criteria importance coefficients with a first ordinal metric scale
p. 48-65
Solving large-scale multicriteria problems by the decomposition method
p. 66-80
Asymptotic expansions of slow invariant manifolds and reduction of chemical kinetics models
p. 81-96
About a local grid method of a solution of Laplace’s equation in the infinite rectangular cylinder
p. 97-104
New exact solutions for the sine-Gordon equation in $2+1$ dimensions
p. 105-111
Mixed value problem for nonlinear integro-differential equation with parabolic operator of higher power
p. 112-123
Conditions for the absence of a phase transition in the Ginzburg–Landau–Allen–Cahn model
p. 124-132
Measurement of the emitter field in the presence of an external source
p. 133-143
“Poisson” models of random fields with applications in transport theory
p. 144-152
New modification of the double description method for constructing the skeleton of a polyhedral cone
p. 153-163
Genetic local search the graph partitioning problem under cardinality constraints
p. 164-176

Sommaire du Fascicule no. 2

Using Chebyshev polynomials and approximate inverse triangular factorizations for preconditioning the conjugate gradient method
p. 179-204
The method of augmented regularized normal equations
p. 205-208
On the skew-symmetric part of the Toeplitz component in the real normal $(T+H)$-problem
p. 209-213
On novel classes of iterative methods for solving nonlinear equations
p. 214-221
On Mendeleev’s quadrature formula
p. 222-223
Newton’s method for optimization problems with a convex smooth surface as a constraint
p. 224-230
Nonlinear eigenvalue problem for a system of ordinary differential equations subject to a nonlocal condition
p. 231-236
Method for constructing solutions of linear ordinary differential equations with constant coefficients
p. 237-252
Construction of splitting schemes based on transition operator approximation
p. 253-262
Two approaches to the solution of coefficient inverse problems for wave equations
p. 263-269
Method for solving the Boltzmann kinetic equation for polyatomic gases
p. 270-287
Efficient method for computing rarefied gas flow in a long finite plane channel
p. 288-303
Study of spectral characteristics of a homogeneous turbulent flow
p. 304-311
Stabilization of unstable equilibrium configurations in magnetohydrodynamics
p. 312-318
Short-time dynamics of an elliptic cylinder moving in a viscous incompressible free-surface flow
p. 319-329
High-performance computer simulation of wave processes in geological media in seismic exploration
p. 330-341
Method for computing the wave function in open billiards with spin–orbit interaction
p. 342-352

Sommaire du Fascicule no. 3

Hermiticity conditions for the product of two complex Toeplitz matrices
p. 355-371
Problem of two-beam tomography
p. 372-378
Numerical solution of the Cauchy problem for the Painlevé; I and II equations
p. 379-387
Numerical methods for Hamilton Jacobi functional differential equations
p. 388-408
Approximate computation of eigenvalues and eigenfunctions of Sturm–Liouville differential operators by applying the theory of regularized traces
p. 409-446
On the strong monotonicity of the CABARET scheme
p. 447-460
High-resolution numerical algorithm for one-dimensional scalar conservation laws with a constrained solution
p. 461-471
On the optimal order of accuracy of an approximate solution to the Symm's integral equation
p. 472-482
On a class of finite-difference schemes for solving ill-posed Cauchy problems in Banach spaces
p. 483-498
Generation of three-dimensional delaunay meshes from weakly structured and inconsistent data
p. 499-520
Enforced stability of an eigenvalue in the continuous spectrum of a waveguide with an obstacle
p. 521-538
A new method for solving the boundary value problem in kinetic theory
p. 539-552
Inverse boundary value problem of aerohydrodynamics for an axisymmetric body with blowing from an annular channel
p. 553-563
Regularization method for solving the quasi-stationary Maxwell equations in an inhomogeneous conducting medium
p. 564-576

Sommaire du Fascicule no. 4

On the problem of describing pairs of commuting Hankel complex matrices
p. 579-584
Regularized extragradient method for searching for an equilibrium point in two-person saddle-point games
p. 585-601
On active-set methods for the quadratic programming problem
p. 602-613
Minimization problem of pollution in mathematical model of biological wastewater treatment
p. 614-627
Asymptotic solution of singularly perturbed linear-quadratic optimal control problems with discontinuous coefficients
p. 628-652
Application of the spherical metric tensor to grid adaptation and the solution of applied problems
p. 653-670
Darboux transformation and soliton solutions for the generalized coupled variable-coefficient nonlinear Schrödinger–Maxwell–Bloch system with symbolic computation
Monotone compact running schemes for systems of hyperbolic equations
p. 672-695
Numerical solution of Fredholm integral equations of first kind by two-dimensional trigonometric wavelets in holder space $C^\alpha([a,b])$
On the accuracy of the projection computation of the collision integral
p. 697-719
Computation of rarefied diatomic gas flows through a plane microchannel
p. 720-732
Finite element analysis of problems of bioimpedance diagnosis
p. 733-745
Algorithm for choosing conjunctions for logical recognition methods
p. 746-749
Classification based on full decision trees
p. 750-761
To the memory of Academician Alexander Alexandrovich Petrov
p. 762-767
Errata

Sommaire du Fascicule no. 5

The eightieth birthday of Professor Vasily Mikhailovich Babich
p. 771-774
Conditions for unique solvability of the matrix equation $AX+X^\ast B=C$
p. 775-783
On the parametrization of classes of conjugate-normal Toeplitz matrices
p. 784-789
The behavior of the convergence of the combined iteration method for solving nonlinear equations
p. 790-800
A single-dynamic model of replacement assets. Main properties
p. 801-817
Polyhedral approximation of convex compact bodies by filling methods
p. 818-828
Numerical solution of integral-algebraic equations for multistep methods
p. 829-839
Discrete autowaves in neural systems
p. 840-858
Correct formulation and a spline method for solving a class of singular integro-differential equations
p. 859-875
An indirect variable transformation approach and Jacobi elliptic solutions to Korteweg de Vries equation
A Lagrangian description of the higher-order Painlevé equations
Criteria of the homeomorphism in the theory of lattices
p. 878-882
The theory of regularized traces of operators as applied to approximate computation of eigenvalues and eigenfunctions of fluid dynamics problems
p. 883-915
Thermodynamic formalization of the fluid dynamics equations for a charged dielectric in an electromagnetic field
p. 916-929
Formation of wavy nanostructures on the surface of flat substrates by ion bombardment
p. 930-945
Boundary value problem for the Navier–Stokes equations linearized in rate in the case of non-isothermal flow of heated gaseous medium spheroid
p. 946-959
Possibility of explaining the existence of vortexlike hydrodynamic structures based on the theory of stationary kinetic equations
p. 960-969
Thin-layer version of the moment equations in the boundary layer problem
p. 970-976

Sommaire du Fascicule no. 6

Method of finding inverse matrix order $N$
Estimates for the Fourier–Bessel transforms of multivariate functions
p. 980-989
Convergence analysis of two-phase methods for approximating the Edgeworth–Pareto hull in nonlinear multicriteria optimization problems
p. 990-998
Supermodular programming on finite lattices
p. 999-1000
A highly accurate homogeneous scheme for solving the laplace equation on a rectangular parallelepiped with boundary values in $C^{k,1}$
SM-stability of operator-difference schemes
p. 1002-1009
Strong stability of a scheme on locally uniform meshes for a singularly perturbed ordinary differential convection–diffusion equation
p. 1010-1041
The initial boundary value problem for a nonlocal singularly perturbed reaction–diffusion equation
p. 1042-1047
Locally one-dimensional scheme for a parabolic equation with a nonlocal condition
p. 1048-1057
Mathematical simulation of an irregular waveguide with reentering edges
p. 1058-1062
Transfer of Sommerfeld radiation conditions to the boundary of a bounded domain
p. 1063-1068
On the velocity of separation between two successive traveling waves in the asymptotics of the solution to the Cauchy problem for a Burgers-type equation
p. 1069-1071
Nonconformal finite element method for a fluid dynamics problem with a curved interface
p. 1072-1094
Numerical study of spherical Couette flows for certain zenith-angle-dependent rotations of boundary spheres at low Reynolds numbers
p. 1095-1133
Control of the transition between regular and mach reflection of shock waves
p. 1134-1142
Separation of a two-component mixture in electric field
p. 1143-1159
Transport equation in the case of a point source located at the center of a ball
p. 1160-1165
In memory of Doctor of Physics and Mathematics Boris Nikolaevich Azarenok
p. 1166-1168

Sommaire du Fascicule no. 7

Factorability of polynomial matrices depending on the powers of their elementary divisors
p. 1171-1184
Estimation of the remainder of a cubature formula on a Chebyshev grid for two-variable functions
p. 1185-1191
Optimality conditions in vector optimization problems with a nonsolid cone of positive elements
p. 1192-1214
Optimal control of a dynamic system with multiple uncertainty in the initial state as based on imperfect measurements of input and output signals
p. 1215-1230
Regularized extraproximal method for finding equilibrium points in two-person saddle-point games
p. 1231-1241
Asymptotics of the solution to a parabolic problem with the limit operator having no spectra
p. 1242-1247
Multidimensional dynamic processes studied by symbolic analysis in velocity-curvature space
p. 1248-1260
Solution of boundary value problems in cylinders separated by a three-layer film into two semicylinders
p. 1261-1266
On the asymptotics of the solution to a singularly perturbed system of first-order partial differential equations with small nonlinearity in the critical case
p. 1267-1276
Mesh adaptation based on functional a posteriori estimates with Raviart–Thomas approximation
p. 1277-1288
Remark on resonance scattering by two barriers in a waveguide
p. 1289-1293
Solution of nonlinear partial differential equations in the problem of an emitting point source of gravitation
p. 1294-1303
Spatial discretization of the one-dimensional quasi-gasdynamic system of equations and the entropy balance equation
p. 1304-1316
Numerical model for the shallow water equations on a curvilinear grid with the preservation of the Bernoulli integral
p. 1317-1324
Irredundant test sets for Zhegalkin polynomials affinely equivalent to the ball and insufficiency of this description in the general case
p. 1325-1331
Criterial and projective morphologies for a set of plane circulars
p. 1332-1353
Synthesis of $E$-polarized surface currents in a strip
p. 1354-1360

Sommaire du Fascicule no. 8

On the regularization of a class of integral equations of the first kind whose kernels are discontinuous on the diagonals
p. 1363-1372
Estimation of the remainder of a cubature formula on a Chebyshev grid
p. 1373-1377
Finite difference approximations of optimal control problems for semilinear elliptic equations with discontinuous coefficients and solutions
p. 1378-1399
Sufficient conditions for the controllability of nonlinear distributed systems
p. 1400-1414
Flux-splitting schemes for parabolic problems
p. 1415-1425
Iterative method for solving a three-dimensional electrical impedance tomography problem in the case of piecewise constant conductivity and one measurement on the boundary
p. 1426-1436
A method for solving the eigenvalue problem for systems consisting of a one-dimensional subsystems with discrete bonds
p. 1437-1456
Continuation of solutions in multiparameter approximation of curves and surfaces
p. 1457-1471
The study of mixed problems for hyperbolic systems of conjugation of different orders
p. 1472-1481
Quasi-normal forms for parabolic systems with strong nonlinearity and weak diffusion
p. 1482-1491
Potential-based numerical solution of Dirichlet problems for the Helmholtz equation
p. 1492-1505
Piecewise parabolic method on a local stencil in cylindrical coordinates for fluid dynamics simulations
p. 1506-1522
On the collapsing of the solutions of the hydrodynamic type with a singular source
p. 1523-1535
Study of the properties of convergence of EM-algorithm in probabilistic latent semantic analysis
p. 1536-1550
Criteria for completeness of algorithms of fuzzy marking of point configurations
p. 1551-1568

Sommaire du Fascicule no. 9

On the fiftieth anniversary of the “Journal of Computational Mathematics”
p. 1571-1581
Regularized differential extragradient method for searching for an equilibrium point in two-person saddle-point games with approximate input data
p. 1582-1600
Iteration in a subspace for solving matrix games
p. 1601-1613
Boundary observability of elastic vibrations in a system of sequentially connected strings
p. 1614-1620
Dirac system with non-differentiable potential and periodic boundary conditions
p. 1621-1632
Uniform grid approximation of nonsmooth solutions with improved convergence for a singularly perturbed convection-diffusion equation with characteristic layers
p. 1633-1654
On domain decomposition preconditioner of BPS type for finite element discretizations of 3D elliptic equations
Locally one-dimensional scheme for the heat equation of fractional order with concentrated heat capacity
p. 1656-1665
Analysis of scattering properties of embedded particles by applying the discrete sources method
p. 1666-1675
Mathematical simulation of acoustic wave scattering in fractured media
p. 1676-1693
A convergence of the iterative procedure for solving equations Karman–Vlasov–Mushtari of shell theory
p. 1694-1699
Solution of the kinetic Boltzmann equation for a fully ionized plasma with applying the methods of computer algebra
p. 1700-1706
Finite-volume discretization of the Euler equations on unstructured deformable lattices
p. 1707-1723
Weighted modification of the majorizing frequency method as applied to solving nonlinear kinetic equations
p. 1724-1734
Empirical construction of the image is the scene as it invariant preserving transformations ordering pixel brightness
p. 1735-1744

Sommaire du Fascicule no. 10

Оценки на пространствах $S_p$ нормы функционала погрешности квадратурных формул, точных для полиномов Хаара
p. 1747-1755
Schoenberg’s polynomial B-splines of odd degrees: A brief review of application
p. 1756-1767
Differential properties of the minimum function for diagonalizable quadratic problems
p. 1768-1777
Real-time computation of optimal control
p. 1778-1800
Runge–Kutta collocation methods for differential-algebraic equations of indices 2 and 3
p. 1801-1811
Singular boundary value problem for the integrodifferential equation in an insurance model with stochastic premiums: Analysis and numerical solution
p. 1812-1846
Обобщенное $\Lambda^2$-уравнение третьего порядка. Структурное восстановление порождающей метрики для модифицированного уравнения Кортевега–де Фриза
p. 1847-1854
On the initial boundary value problem for a nonlinear nonhomogeneous equation of Sobolev type
p. 1855-1865
Regularity of the solution and well-posedness of a mixed problem for an elliptic system with quadratic nonlinearity in gradients
p. 1866-1882
Three-dimensional instability of flow in a flat channel between elastic plates
p. 1883-1889
Моделирование нелинейного режима для лагранжевых решений некоторых стохастических эволюционных уравнений
p. 1890-1903
Splitting over physical processes as applied to the construction of a numerical method for solving the system of kinetic equations governing a hall thruster rarefied plasma jet
p. 1904-1925
On the complexity of the dualization problem
p. 1926-1935
Поправка

Sommaire du Fascicule no. 11

К столетию со дня рождения члена-корреспондента АН СССР, профессора Алексея Андреевича Ляпунова
p. 1939-1946
An iterative method for finding coincidence points of two mappings
p. 1947-1950
Regularization methods for a class of variational inequalities in Banach spaces
Sharp estimates for the convergence rate of “hyperbolic” partial sums of double fourier series in orthogonal polynomials
p. 1952-1958
On the influence of the critical Lagrange multipliers on the convergence rate of the multiplier method
p. 1959-1975
Direct method for the design of optimal three-dimensional aerodynamic shapes
p. 1976-1982
Steplike contrast structure in a singularly perturbed system of equations with different powers of small parameter
p. 1983-2003
Solving the order reduction phenomenon in variable step size quasi-consistent Nordsieck methods
p. 2004-2022
Numerical solution of the Painlevé IV equation
p. 2023-2032
Asymptotic behavior of the eigenvalues of the Steklov problem on a junction of domains of different limiting dimensions
p. 2033-2049
Численное решение краевых задач для полигармонического уравнения
p. 2050-2059
Начальный этап движения эллиптического цилиндра в идеальной несжимаемой жидкости со свободными границами
p. 2060-2070
Применение метода смешанных конечных элементов и оценки скорости сходимости для расчета электромагнитного поля волновода с входящими ребрами
p. 2071-2079
Численное исследование локализованного возмущения температуры в модели фазового поля в случае слияния свободных границ
p. 2080-2092
Numerical-analytical method for computing the current-voltage characteristics for a stack of Josephson junctions
p. 2093-2100
Вычислительная модель пространственно неоднородной медленной коагуляции
p. 2101-2112

Sommaire du Fascicule no. 12

Взвешенное сингулярное разложение и взвешенное псевдообращение матриц с вырожденными весами
p. 2115-2132
Special quadrature rules for Laplace transform inversion
p. 2133-2139
Multiplier methods for optimization problems with Lipschitzian derivatives
p. 2140-2148
Control of substance solidification in a complex-geometry mold
p. 2149-2162
О численном решении задач оптимального управления с неразделенными многоточечными и интегральными условиями
p. 2163-2177
Correction of improper linear programming problems in canonical form by applying the minimax criterion
p. 2178-2189
Stability estimates in identification problems for the convection-diffusion-reaction equation
p. 2190-2205
Power-elliptic expansions of solutions to an ordinary differential equation
p. 2206-2218
Sound field suppression in a wide circular waveguide with the help of a longitudinal packet resonator
p. 2219-2227
Итерационный метод определения диэлектрической проницаемости образца неоднородного материала, расположенного в прямоугольном волноводе
p. 2228-2237
Stabilization of equilibrium MHD configurations by external currents
p. 2238-2246
Simulation of particle dynamics in a rapidly varying viscous flow
p. 2247-2259
О моделях упругопластических сред с тензорным параметром повреждаемости
p. 2260-2283
О сложности некоторых задач выбора подпоследовательности векторов
p. 2284-2291
Памяти доктора физико-математических наук Евгения Дмитриевича Терентьева
p. 2292-2295