The paper deals with evolution problems involving time derivatives of fractional order α, with 1 < α ≤ 2. The solutions are expressed in terms of operator Mittag-Leffler functions. The action of such operator functions is approximated by rational Krylov methods whose convergence features are investigated.
Shift-and-invert Krylov methods for time-fractional wave equations / Moret, Igor. - In: NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION. - ISSN 0163-0563. - ELETTRONICO. - (2014), pp. 86-103. [10.1080/01630563.2014.908209]
Shift-and-invert Krylov methods for time-fractional wave equations
MORET, IGOR
2014-01-01
Abstract
The paper deals with evolution problems involving time derivatives of fractional order α, with 1 < α ≤ 2. The solutions are expressed in terms of operator Mittag-Leffler functions. The action of such operator functions is approximated by rational Krylov methods whose convergence features are investigated.File in questo prodotto:
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