A new family of two stage symmetric two-step methods with vanished phase-lag and its derivatives for the numerical integration of the Schrodinger equation

作者：Hui, Fei; Simos, T. E.^*

来源：Journal of Mathematical Chemistry, 2015, 53(10): 2191-2213.

DOI：10.1007/s10910-015-0545-z

• Phase-lag
• Derivative of the phase-lag
• Initial value problems
• Oscillating solution
• Symmetric
• Hybrid
• Multistep
• Schrodinger equation

A family of two stage low computational cost symmetric two-step methods with vanished phase-lag and its derivatives is developed in this paper. More specifically we produce:
a two-stage symmetric two-step eighth algebraic order method which has the phase-lag and its first, second and third derivatives vanished and
a two-stage symmetric two-step sixth algebraic order method, which is P-stable and has the phase-lag and its first and second derivatives vanished.
The local truncation error, the interval of periodicity and the effect of the vanishing of the phase-lag and its derivatives on the efficiency of the obtained method are also studied in this paper.

• 出版日期2015-11
• 单位长安大学