13 citations · 13 across the 4 of their papers we have counts for
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A -mode approach for exponential integrators: actions of -functions of Kronecker sums
Marco Caliari, Fabio Cassini, Franco Zivcovich
We present a method for computing actions of the exponential-like -functions for a Kronecker sum of arbitrary matrices . It is based on the approximation of the int…
A second-order low-regularity correction of Lie splitting for the semilinear Klein--Gordon equation
Buyang Li, Katharina Schratz, Franco Zivcovich
The numerical approximation of the semilinear Klein--Gordon equation in the -dimensional space, with , is studied by analyzing the consistency errors in approximating t…
A -mode BLAS approach for multidimensional tensor-structured problems
Marco Caliari, Fabio Cassini, Franco Zivcovich
In this manuscript, we present a common tensor framework which can be used to generalize one-dimensional numerical tasks to arbitrary dimension by means of tensor product formu…
A -mode integrator for solving evolution equations in Kronecker form
Marco Caliari, Fabio Cassini, Lukas Einkemmer +2
In this paper, we propose a -mode integrator for computing the solution of stiff evolution equations. The integrator is based on a -dimensional splitting approach and uses ex…