TY - GEN A1 - Huisinga, Wilhelm A1 - Pesce, Lorenzo A1 - Kosloff, Ronnie A1 - Saalfrank, Peter T1 - Faber and Newton Polynomial Integrators for Open-System Density Matrix Propagation N2 - Two polynomial expansions of the time-evolution superoperator to directly integrate Markovian Liouville-von Neumann (LvN) equations for quantum open systems, namely the Newton interpolation and the Faber approximation, are presented and critically compared. Details on the numerical implementation including error control, and on the performance of either method are given. In a first physical application, a damped harmonic oscillator is considered. Then, the Faber approximation is applied to compute a condensed phase absorption spectrum, for which a semi--analytical expression is derived. Finally, even more general applications are discussed. In all applications considered here it is found that both the Newton and Faber integrators are fast, general, stable, and accurate. T3 - ZIB-Report - SC-98-29 Y1 - 1998 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:0297-zib-3725 ER -