Abstract
In this paper we propose a new choice of poles to define reliable rational Krylov methods. These methods are used for approximating function of positive definite matrices. In particular, the fractional power and the fractional resolvent are considered because of their importance in the numerical solution of fractional partial differential equations. The numerical experiments on some fractional partial differential equation models confirm that the proposed approach is promising.
Lingua originale | Inglese |
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pagine (da-a) | 470-482 |
Numero di pagine | 13 |
Rivista | Journal of Computational Physics |
Volume | 396 |
DOI | |
Stato di pubblicazione | Pubblicato - 1 nov 2019 |
Pubblicato esternamente | Sì |