Shift-and-Invert Krylov Methods for Time-Fractional Wave Equations

Shift-and-Invert Krylov Methods for Time-Fractional Wave Equations
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时间分数阶波动方程的平移和反演 Krylov 方法

DOI:
10.1080/01630563.2014.908209
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发表时间:
2015
影响因子:
1.2
通讯作者:
I. Moret
I. Moret
中科院分区:
数学4区
文献类型:
--
作者:
I. Moret

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讨论了1 < α≤2的分数阶α时间导数演化问题。解用算子Mittag-Leffler函数表示。用有理Krylov方法逼近了这类算子函数的作用,并研究了其收敛性。
The article 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.
DOI: 10.1007/s10543-011-0367-8
发表时间: 2012-09
影响因子: 1.5
作者:
Volker Grimm
通讯作者: Volker Grimm