The short iterative Lanczos method has been combined with the finite-element discrete variable representation to yield a powerful approach to solving the time-dependent Schroedinger equation. It has been applied to the interaction of short, intense laser radiation(attosecond pulses) to describe the single and double ionization of atoms and molecules, but the approach is not limited to this particular application. The algorithm will be described in some detail and how it been successfully ported to the Intel Phi coprocessors. While further experimentation is needed, the current results provide reasonable evidence that by suitably modifying the code to combine MPI, OpenMP, and compiler offload directives, one can achieve significant improvement in performance from these coprocessors for problems such as the above.
