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

By Fei Hui, T. E. Simos. Journal of Mathematical Chemistry, 2015

100 citations recorded by the source corpus.

Subfields: Computational Mechanics, Electrical and Electronic Engineering, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/21838e242796b668225a23886271a8cb2836d4f9

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Mechanics

1. Jing Ma
2. Ke Yan
3. T. E. Simos
4. Ibraheem Alolyan
5. Charalambos Tsitouras

In Electrical and Electronic Engineering

1. Jing Ma
2. Ke Yan
3. T. E. Simos
4. Ibraheem Alolyan
5. Charalambos Tsitouras
6. Kenan Mu
7. Athinoula Kosti
8. Zacharias A. Anastassi

In Numerical Analysis

1. Ke Yan
2. Jing Ma
3. T. E. Simos
4. Ibraheem Alolyan
5. Charalambos Tsitouras
6. Kenan Mu
7. Athinoula Kosti
8. Zacharias A. Anastassi

Citations in the corpus

• An efficient and computational effective method for second order problems (2017, methodology): “– Method I: the Iterative Numerov method of Allison [77], – Method II: the variable-step method of Raptis and Cash [76], – Method III: the embedded Runge–Kutta Dormand and Prince method 5(4) [69], – Method IV : the embedded Runge–Kutta method ERK4(2) developed in Simos [80], – Method V : the embedde”
• A finite difference pair with improved phase and stability properties (2017, methodology): “– Method I: the Iterative Numerov method of Allison [1], – Method II: the variable-step method of Raptis and Cash [90], – Method III: the embedded Runge–Kutta Dormand and Prince method 5(4) [84], – Method IV : the embedded Runge–Kutta method ERK4(2) developed in Simos [93], – Method V : the embedded”