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Reconstruction of the solenoidal part of a three-dimensional vector field by its ray transforms along straight lines parallel to coordinate planes
Pleiades Publishing Ltd - Tập 5 - Trang 271-283 - 2012
A numerical solution to a vector field reconstruction problem is proposed. It is assumed that the field is given in a unit sphere. The approximation of the solenoidal part of the vector field is constructed from ray transforms known over all straight lines parallel to one of the coordinate planes. Numerical simulations confirm that the proposed method yields good results of reconstruction of solen...... hiện toàn bộ
An Approximate Solution of Singular Integral Equations Using Chebyshev Series for a Class of Functions That are Zero at One End and Infinite at the Other End of the Integration Interval
Pleiades Publishing Ltd - - 2021
The lagrange multiplier method for solving a semicoercive model problem with friction
Pleiades Publishing Ltd - Tập 2 - Trang 330-340 - 2009
In model problems with friction, unconditional minimization of a nondifferentiable functional is reduced to conditional minimization of a differentiable functional. To solve the semicoercive problem obtained, we use a dual scheme based on a modified Lagrangian functional.
Estimating the statistical error in calculating velocity and temperature components by the direct simulation Monte Carlo method
Pleiades Publishing Ltd - Tập 9 - Trang 246-256 - 2016
The direct simulation Monte Carlo (DSMC) method is widely used to solve problems in rarefied gas dynamics. In solving steady state problems, a special feature of the method is in using dependent sample values of random variables to calculate the macroparameters of gas flow. In this paper, the possibilities of methods of statistical physics to estimate the statistical error of the DSMC method are t...... hiện toàn bộ
A cellular-automata method for studying porous media properties
Pleiades Publishing Ltd - Tập 3 - Trang 1-10 - 2010
A cellular-automata (CA) approach for investigating properties of porous media with tortuous channels and different smoothness of pore walls is proposed. This approach is aimed at combining two different CA models: the first one is intended for constructing the morphology of a porous material; the second, for simulating a fluid flow through it. The porous media morphology is obtained as a result o...... hiện toàn bộ
To the 80th anniversary of Gennadii Alekseevich Mikhailov
Pleiades Publishing Ltd - Tập 7 Số 2 - Trang 87-90 - 2014
Improving the Stability of Triangular Decomposition of Ill-Conditioned Matrices
Pleiades Publishing Ltd - Tập 12 - Trang 388-394 - 2020
An approach to improving the stability of triangular decomposition of a dense positive definite matrix with a large condition number by using the Gauss and Cholesky methods is considered. It is proposed to introduce additions to standard computational schemes with an incomplete inner product of two vectors which is formed by truncating the lower digits of the sum of the products of two numbers. Th...... hiện toàn bộ
On Discretization of a Two-Dimensional Laplace Operator in a Smooth Two-Dimensional Domain
Pleiades Publishing Ltd - - 2021
On A Posteriori Estimation of the Approximation Error Norm for an Ensemble of Independent Solutions
Pleiades Publishing Ltd - Tập 13 - Trang 195-206 - 2020
An ensemble of independent numerical solutions makes it possible to
construct a hypersphere around an approximate solution that contains the
true solution. The analysis is based on some geometry considerations,
such as the triangle inequality and the measure concentration in spaces
of large dimensions. As a result, a nonintrusive postprocessor providing
error estimation on an ensemble of solutions...... hiện toàn bộ
On barotropic trapped wave solutions with no-slip boundary conditions
Pleiades Publishing Ltd - Tập 2 - Trang 364-376 - 2009
Barotropic trapped wave solutions of a linearized system of the ocean dynamics equations are described for a semi-infinite, f-plane model basin of constant depth bordering a straight, vertical coast, for some “typical” values of the model parameters. No-slip boundary conditions are considered. When the wave length is shorter than the Rossby deformation radius, the main features of the wave solutio...... hiện toàn bộ
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