A new method with improved phase-lag and stability properties for problems in quantum chemistry - an economical case

A new FINDIFF (Finite Difference) method with zeroing phase-lag and its derivatives up to order two, for initial or boundary value problems with periodical and/or oscillating solutions with an application on problems in Quantum Chemistry, is proposed in this paper. The method is considered to belong to the economical class of methods since it is of the highest possible algebraic order using the minimum number of function evaluations per step.