A $\mu$-mode approach for exponential integrators: actions of $\phi$-functions of Kronecker sums

Marco Caliari, Fabio Cassini, Franco Zivcovich

We present a method for computing actions of the exponential-like $\phi$-functions for a Kronecker sum $K$ of $d$ arbitrary matrices $A_{\mu }$. It is based on the approximation of the int…