Numerical integration of the time-dependent Schrodinger equation for laser-driven helium

The full time-dependent Schrodinger equation for 2-electron atoms in intens e laser fields is solved using a mixed finite-difference/basis set approach . We discuss Krylov subspace techniques for the propagation of the equation in time, and numerical methods for optimizing the description of the syste m on a finite-difference lattice. We describe the implementation of a paral lelized code based on these numerical methods, and review performance and s caling results of the code on the Gray T3D/E. (C) 1998 Elsevier Science B.V .