1 citations · 1 across the 4 of their papers we have counts for
7 papers
Analysis of split exponential integrators for semilinear problems with noncommuting operators
Luca Battestini, Marco Caliari, Fabio Cassini
Splitting the exponential and exponential-like functions can significantly reduce the overall computational cost of exponential integrators, providing a strong motivation for their…
A tensor-based exponential integrator for diffusion--reaction equations in common curvilinear coordinates
Marco Caliari, Fabio Cassini
In this paper, we study a tensor-based method for the numerical solution of a class of diffusion--reaction equations defined on spatial domains that admit common curvilinear coordi…
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…
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…
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…
Efficient simulation of complex Ginzburg--Landau equations using high-order exponential-type methods
Marco Caliari, Fabio Cassini
In this paper, we consider the task of efficiently computing the numerical solution of evolutionary complex Ginzburg--Landau equations on Cartesian product domains with homogeneous…
Accelerating exponential integrators to efficiently solve semilinear advection-diffusion-reaction equations
Marco Caliari, Fabio Cassini, Lukas Einkemmer +1
In this paper we consider an approach to improve the performance of exponential Runge--Kutta integrators and Lawson schemes} in cases where the solution of a related, but usually m…