198 citations · 334 across the 6 of their papers we have counts for
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math.NA2018★ 119 cited
Computing the matrix Mittag-Leffler function with applications to fractional calculus
Roberto Garrappa, Marina Popolizio
The computation of the Mittag-Leffler (ML) function with matrix arguments, and some applications in fractional calculus, are discussed. In general the evaluation of a scalar functi…
math.NA2017★ 4 cited
Efficient approximation of functions of some large matrices by partial fraction expansions
Daniele Bertaccini, Marina Popolizio, Fabio Durastante
Some important applicative problems require the evaluation of functions of large and sparse and/or \emph{localized} matrices . Popular and interesting techniques for computi…
math.NA2013★ 8 cited
Exponential quadrature rules for linear fractional differential equations
Roberto Garrappa, Marina Popolizio
This paper focuses on the numerical solution of initial value problems for fractional differential equations of linear type. The approach we propose grounds on expressing the solut…