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Publikováno v:
Applications of Mathematics and Informatics in Natural Sciences and Engineering ISBN: 9783030563554
Three-layer semi-discrete schemes for second order evolution equations are studied in the Hilbert space using Chebyshev polynomials. A priori estimates are proved for approximate solutions, as well as for difference analogues of first and second orde
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::12d83fbf6c3a6421e02aacdb92fedd85
https://doi.org/10.1007/978-3-030-56356-1_10
https://doi.org/10.1007/978-3-030-56356-1_10
Publikováno v:
Georgian Mathematical Journal. 25:337-348
In the present work the Cauchy problem for an abstract evolution equation with a Lipschitz-continuous operator is considered, where the main operator represents the sum of positive definite self-adjoint operators. The fourth-order accuracy decomposit
Autor:
J. Rogava, David Gulua
Publikováno v:
Georgian Mathematical Journal. 25:77-92
In the present paper, we use the perturbation algorithm to reduce a purely implicit four-layer semi-discrete scheme for an abstract evolutionary equation to two-layer schemes. An approximate solution of the original problem is constructed using the s
Publikováno v:
2019 Russian Open Conference on Radio Wave Propagation (RWP).
The results of numerical experiments, made on the basis of the modified CD method, on study of the dynamics of interaction of vortical structures for various configurations of their relative positioning, signs of vorticity and distances between borde
Publikováno v:
2019 Russian Open Conference on Radio Wave Propagation (RWP).
On the basis of the analytical and numerical approaches the stability and dynamics of interaction of the multidimensional soliton-like solutions of the generalized nonlinear Schrodinger equation, which describes the waves in a plasma, fiber and plana
Publikováno v:
IEEE Transactions on Electromagnetic Compatibility. 57:1698-1704
A fast and stable algorithm for approximation of sine and cosine hyperbolic functions is presented in this paper. The algorithm can be used for S -parameter calculation from RLGC parameters. The idea is to construct the recurrent relation for the app
Publikováno v:
Lie Groups, Differential Equations, and Geometry ISBN: 9783319621807
In the paper, using the perturbation algorithm, purely implicit three-layer and four-layer semi-discrete schemes for an abstract evolutionary equation are reduced to two-layer schemes. The solutions of these two-layer schemes are used to construct an
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e47e3d4b98b819b4437944d0a3290eab
https://doi.org/10.1007/978-3-319-62181-4_10
https://doi.org/10.1007/978-3-319-62181-4_10
Publikováno v:
Numerical Functional Analysis and Optimization. 35:275-293
In the present work a fourth order accuracy decomposition scheme is constructed for a multidimensional nonhomogeneous hyperbolic equation on the basis of rational splitting of cosine operator-function. The main operator of the equation is self-adjoin
Autor:
J. Rogava, M. Tsiklauri
Publikováno v:
Applied Numerical Mathematics. 75:22-36
In the paper there is considered the Cauchy problem for an abstract nonlinear second order evolution equation in the Hilbert space. This equation represents a generalization of a nonlinear Kirchhoff-type beam equation. For approximate solution of thi