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math.NA2025
Matrix- and tensor-oriented numerical schemes for the evolutionary space-fractional complex Ginzburg--Landau equation
Marco Caliari, Fabio Cassini
In this manuscript, we propose matrix- and tensor-oriented methods for the numerical solution of the multidimensional evolutionary space-fractional complex Ginzburg--Landau equatio…
math.NA2025
On the convergence of split exponential integrators for semilinear parabolic problems
Marco Caliari, Fabio Cassini, Lukas Einkemmer +1
Splitting the exponential-like functions, which typically appear in exponential integrators, is attractive in many situations since it can dramatically reduce the computational…
math.NA2025
Exponential quadrature rules for problems with time-dependent fractional source
Marco Caliari, Fabio Cassini
In this manuscript, we propose newly-derived exponential quadrature rules for stiff linear differential equations with time-dependent fractional sources in the form , with…