A new high order two-step method with vanished phase-lag and its derivatives for the numerical integration of the Schrodinger equation

作者：Alolyan Ibraheem; Simos T E^*

来源：Journal of Mathematical Chemistry, 2012, 50(9): 2351-2373.

DOI：10.1007/s10910-012-0035-5

• Numerical solution
• Schrodinger equation
• Multistep methods
• Hybrid methods
• Interval of periodicity
• P-stability
• Phase-lag
• Phase-fitted
• Derivatives of the phase-lag

In this paper we develop a new hybrid method of high order with phase-lag and its first, second and third derivatives equal to zero. For the produced method we study its error and stability. We apply the newly obtained method to the Schrodinger equation. The application shows the efficiency of the new produced method.

• 出版日期2012-10