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On detecting a wavefront described by a 2D eikonal equation when the velocity in the medium depends on one spatial variable
Pleiades Publishing Ltd - Tập 3 - Trang 52-58 - 2010
E. D. Moskalensky
In this paper, the 2D eikonal equation f 2 + f 2 = (ky + b)2α is considered. If a solution is found, the relation f (x, y) = C determines the location of the wave...... hiện toàn bộ
L ∞-error estimates of triangular mixed finite element methods for optimal control problems governed by semilinear elliptic equations
Pleiades Publishing Ltd - - 2009
Zuliang Lu, Yanping Chen
Theoretical justification of interior point algorithms for solving optimization problems with nonlinear constraints
Pleiades Publishing Ltd - Tập 6 - Trang 24-33 - 2013
V. I. Zorkaltsev, S. M. Perzhabinsky
A family of interior point algorithms is considered. These algorithms can be used for solving mathematical programming problems with nonlinear inequality constraints. Some weighted Euclidean norms are applied to finding a descent direction for improving the solution. These norms vary with iterations. A theoretical justification of the algorithms with some assumptions (including the nonsingularity ...... hiện toàn bộ
Parallel algorithms and domain decomposition techniques for solving three-dimensional boundary value problems on quasi-structured grids
Pleiades Publishing Ltd - Tập 9 - Trang 141-149 - 2016
V. D. Korneev, V. M. Sveshnikov
A new approach to the decomposition of a three-dimensional computational domain into subdomains matched without overlapping is proposed. It is based on direct approximation of the Poincare–Steklov equation at the interface. Parallel algorithms and techniques for solving threedimensional boundary value problems on quasi-structured grids are presented. Experimental evaluation of parallel efficiency ...... hiện toàn bộ
Nonconvex minimization of a quadratic function over a sphere
Pleiades Publishing Ltd - Tập 8 - Trang 135-147 - 2015
E. A. Kotel’nikov
The problem of minimizing a nonconvex function over a sphere is reduced to a sequence of problems of minimizing its convex majorants over the sphere. To construct the majorants, the objective function is represented as the difference of convex quadratic functions, and the problem is solved at the previous step. The objective function representation is based on a modified procedure of the Cholesky ...... hiện toàn bộ
Numerical modeling of the influence of heat exchange of reservoir beds with enclosing rocks on gas production from a single well
Pleiades Publishing Ltd - - 2013
V. E. Nikolaev, G. I. Ivanov, И. И. Рожин
Stability of the Optimal Solution to a Problem of Variational Assimilation with Error Covariance Matrices of Observational Data for a Sea Thermodynamics Model
Pleiades Publishing Ltd - Tập 11 - Trang 178-192 - 2018
V. P. Shutyaev, E. I. Parmuzin
A mathematical model of sea thermodynamics developed at the Institute of Numerical Mathematics of the Russian Academy of Sciences is considered. A problem of variational assimilation of daily-averaged sea surface temperature (SST) data with observational error covariance matrices is formulated and investigated. On the basis of variational assimilation of satellite observation data, an inverse prob...... hiện toàn bộ
Normality conditions for semilinear matrix operators of the Stein type
Pleiades Publishing Ltd - Tập 8 - Trang 299-303 - 2015
Kh. D. Ikramov
Normality conditions are found for the operators associated with the semilinear analogs of the Stein matrix equation, namely, with the equations xxxxxxxx and X − AX*B = C.
A Finite-Difference Scheme for the One-Dimensional Maxwell Equations
Pleiades Publishing Ltd - Tập 13 - Trang 57-67 - 2020
A. F. Mastryukov
This paper deals with a difference scheme of second-order approximation using Laquerre transform for the one-dimensional Maxwell equations. Supplementary parameters are introduced into this difference scheme. These parameters are obtained by minimizing the error of a difference approximation for a Helmholtz equation. The optimal parameters do not depend on the step size and the number of nodes in ...... hiện toàn bộ
A splitting algorithm for wavelet transforms of the Hermite splines of the seventh degree
Pleiades Publishing Ltd - Tập 8 - Trang 365-377 - 2015
B. M. Shumilov
In this paper, an implicit method of decomposition of 7th degree Hermite splines to a series of “lazy” wavelets with displaced supports is investigated. A splitting algorithm for wavelet transforms for parallel solving four five-diagonal systems of linear equations with a rigorous diagonal dominance is justified. Results of numerical experiments on the accuracy for polynomials and on compression o...... hiện toàn bộ
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