Shift-and-invert Krylov methods for time-fractional wave equations

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.

Titolo: Shift-and-invert Krylov methods for time-fractional wave equations
Autori: 
MORET, IGOR
Data di pubblicazione: 2014
Rivista: 
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION  
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.
Handle: http://hdl.handle.net/11368/2808525
Digital Object Identifier (DOI): http://dx.doi.org/10.1080/01630563.2014.908209
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http://hdl.handle.net/11368/2808525
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