Pleiades Publishing Ltd
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Approximate solution of Wiener-Hopf integral equations and its discrete counterparts
Pleiades Publishing Ltd - Tập 55 - Trang 834-843 - 2015
A method for averaging the kernel of a numerical-analytical solution of
nonsingular Wiener-Hopf (WH) equations is proposed. By applying a discretization
technique similar to the strip method, the WH integral equation is reduced to a
discrete WH equation. A priori estimates are obtained that ensure the uniform
convergence of the method. Two techniques for solving discrete WH equations are
developed...
Mathematical simulation of gas–liquid mixture flow in a reservoir and a wellbore with allowance for the dynamical interactions in the reservoir–well system
Pleiades Publishing Ltd - Tập 56 Số 1 - Trang 148-160 - 2016
Calculation of the spheroidal functions of the first kind for complex values of the argument and parameters
Pleiades Publishing Ltd - Tập 55 - Trang 788-796 - 2015
Methods are proposed, first, for calculating (in a given domain of complex
plane) the eigenvalues of the spheroidal wave equation with complex-valued
parameters and, second, for calculating the values of the corresponding
functions for complex values of the argument.
On Analytic Continuation of Conformal Mapping of a Circular Triangle
Pleiades Publishing Ltd - Tập 62 - Trang 2112-2122 - 2023
Given a circular triangle T having a zero angle at a point at infinity and two
equal nonzero angles, it is shown that a conformal mapping of T onto a
half-plane can be continued to a semi-infinite strip by applying the
Riemann–Schwarz symmetry principle. The problem of analytic continuation of such
a mapping arises as an auxiliary problem in constructing a conformal mapping of
an L-shaped domain o...
Solution blow-up for a new stationary Sobolev-type equation
Pleiades Publishing Ltd - Tập 50 - Trang 831-847 - 2010
A new nonlinear stationary Sobolev-type equation with a parameter η ∈ ℝ1 is
derived. For η > 0, global solvability in the weak generalized sense is proved
in the entire waveguide $$ \mathbb{S} $$ ⊗ ℝ + 1 . For η < 0, the strong
generalized solution is shown to blow up in a certain waveguide cross section z
= R 0 > 0. An upper bound for R 0 in terms of the original parameters of the
problem is obta...
Method of adaptive artificial viscosity for solving the Navier–Stokes equations
Pleiades Publishing Ltd - Tập 55 - Trang 1324-1329 - 2015
A numerical technique based on the method of adaptive artificial viscosity is
proposed for solving the viscous compressible Navier–Stokes equations in two
dimensions. The Navier–Stokes equations is approximated on unstructured meshes,
namely, on triangular or tetrahedral elements. The monotonicity of the
difference scheme according to the Friedrichs criterion is achieved by adding
terms with adapt...
Numerical Solution of Test Problems Using a Modified Godunov Scheme
Pleiades Publishing Ltd - Tập 58 - Trang 1573-1584 - 2018
Modifications of Godunov’s scheme based on V.P. Kolgan’s approach to the
construction of second-order accurate schemes in space for smooth solutions are
proposed. The gasdynamic parameters linearly interpolated in a mesh cell, but
the Riemann problem is solved for parameters at an intermediate point between
the center and the boundary of the cell. Properties of Kolgan’s scheme and the
proposed mod...
Minimax algorithm for constructing an optimal control strategy in differential games with a Lipschitz payoff
Pleiades Publishing Ltd - Tập 51 - Trang 550-574 - 2011
For a zero-sum differential game, an algorithm is proposed for computing the
value of the game and constructing optimal control strategies with the help of
stepwise minimax. It is assumed that the dynamics can be nonlinear and the cost
functional of the game is the sum of an integral term and a terminal payoff
function that satisfies the Lipschitz condition but can be neither convex nor
concave. T...
Solution of the self-adjoint radiative transfer equation on hybrid computer systems
Pleiades Publishing Ltd - Tập 56 - Trang 987-995 - 2016
A new technique for simulating three-dimensional radiative energy transfer for
the use in the software designed for the predictive simulation of plasma with
high energy density on parallel computers is proposed. A highly scalable
algorithm that takes into account the angular dependence of the radiation
intensity and is free of the ray effect is developed based on the solution of a
second-order equ...
Solving the quasi-variational Signorini inequality by the method of successive approximations
Pleiades Publishing Ltd - Tập 49 Số 5 - Trang 776-785 - 2009
Tổng số: 2,026
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