A four stages numerical pair with optimal phase and stability properties

作者：Kovalnogov, Vladislav N.; Fedorov, Ruslan V.; Golovanov, Viktor M.; Kostishko, Boris M.; Simos, T. E.^*

来源：Journal of Mathematical Chemistry, 2018, 56(1): 81-102.

DOI：10.1007/s10910-017-0782-4

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

In this paper we obtain, for the first time in the literature a new numerical pair. The properties of the new pair are: 1. symmetric two- step algorithm,
2. four-stages scheme, four-stages scheme,
scheme of tenth-algebraic order,
the approximations of the layers are taken place as follows: first and second layer on the point , third layer on the point , fourth layer on the point ,
the method has eliminated the phase-lag and its first derivative,
excellent stability and interval of periodicity properties (i.e. interval of periodicity equal to .
For this new numerical pair we present a detailed theoretical analysis. Finally, we prove the efficiency of the new scheme by applying it to the solution of systems of coupled Schrodinger equations.

• 出版日期2018-1
• 单位内江师范学院