Parallel methods for high-dimensional quantum dynamics

In this communication we propose new schemes for parallelizing the bend matrix-vector product required to compute spectra, cross-sections, etc. using iterative methods. The new schemes are compared to those already in the literature and results demonstrating the advantage of our best scheme are given for . We find that the best scheme parallelizes over a single quadrature index. This enables one to exploit the favorable scaling product basis matrix-vector products.