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pro vyhledávání: '"Knizhnerman, Leonid"'
The main purpose of the paper is to present some powerful data on the advantage of the rational approximation procedure based on Hermite-Pad\'e polynomials over the Pad\'e approximation procedure. The first part of the paper is devoted to some numeri
Externí odkaz:
http://arxiv.org/abs/2306.07063
Rational approximation recently emerged as an efficient numerical tool for the solution of exterior wave propagation problems. Currently, this technique is limited to wave media which are invariant along the main propagation direction. We propose a n
Externí odkaz:
http://arxiv.org/abs/2203.17052
An efficient Krylov subspace algorithm for computing actions of the $\varphi$ matrix function for large matrices is proposed. This matrix function is widely used in exponential time integration, Markov chains and network analysis and many other appli
Externí odkaz:
http://arxiv.org/abs/2010.08494
In this paper a new restarting method for Krylov subspace matrix exponential evaluations is proposed. Since our restarting technique essentially employs the residual, some convergence results for the residual are given. We also discuss how the restar
Externí odkaz:
http://arxiv.org/abs/1812.10165
A new construction of an absorbing boundary condition for indefinite Helmholtz problems on unbounded domains is presented. This construction is based on a near-best uniform rational interpolant of the inverse square root function on the union of a ne
Externí odkaz:
http://arxiv.org/abs/1507.06265
Akademický článek
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Autor:
Druskin, Vladimir, Knizhnerman, Leonid
Publikováno v:
SIAM Journal on Numerical Analysis, 2004 Jan 01. 41(1), 287-305.
Externí odkaz:
https://www.jstor.org/stable/4101158
Autor:
Druskin, Vladimir, Knizhnerman, Leonid
Publikováno v:
SIAM Journal on Numerical Analysis, 2000 Jan 01. 37(2), 403-422.
Externí odkaz:
https://www.jstor.org/stable/2587076
The main purpose of the paper is to present some powerful data on the advantage of the rational approximation procedure based on Hermite-Pad\'e polynomials over the Pad\'e approximation procedure. The first part of the paper is devoted to some numeri
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=arXiv_______::75014e8bb1bbce9d85ed18fe9f196809
http://arxiv.org/abs/2306.07063
http://arxiv.org/abs/2306.07063
Publikováno v:
SIAM Review, 2016 Mar 01. 58(1), 90-116.
Externí odkaz:
http://www.jstor.org/stable/24778843