2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/166900We increase the efficiency of a recently proposed time integration scheme for time dependent quantum transport by using the Lanczos method for time evolution. We illustrate our modified scheme in terms of a simple one dimensional model. Our results show that the Lanczos-adapted scheme gives a large increase in numerical efficiency, and is an advantageous route for numerical time integration in ab-initio treatment of open boundary quantum transport phenomena.11 pages, 1 figureMesoscale and Nanoscale Physicstext