scholarly journals Numerical solution of the three-dimensional time-dependent Schr?dinger equation and its application

2009 ◽  
Vol 58 (12) ◽  
pp. 8180
Author(s):  
Zeng Si-Liang ◽  
Zou Shi-Yang ◽  
Wang Jian-Guo ◽  
Yan Jun
Keyword(s):  
Numerical Solution ◽  
Three Dimensional ◽  
Time Dependent ◽  
Dinger Equation

scholarly journals Numerical solution of three-dimensional time-dependent Schrödinger equation based on graphic processing unit acceleration

2020 ◽  
Vol 69 (23) ◽  
pp. 234202
Author(s):  
Fu-Ming Tang ◽  
Kai Liu ◽  
Yi Yang ◽  
Qian Tu ◽  
Feng Wang ◽  
...  
Keyword(s):  
Schrödinger Equation ◽  
Numerical Solution ◽  
Schrodinger Equation ◽  
Graphic Processing Unit ◽  
Three Dimensional ◽  
Time Dependent ◽  
Processing Unit ◽  
Graphic Processing

Numerical solution of the time-dependent Schr�dinger equation for continuum states

2000 ◽  
Vol 80 (4-5) ◽  
pp. 934-941 ◽  
Author(s):  
Burke Ritchie ◽  
Charles A. Weatherford
Keyword(s):  
Numerical Solution ◽  
Time Dependent ◽  
Dinger Equation ◽  
Continuum States

scholarly journals Numerical Solution to the 3D Static Maxwell Equations in Axisymmetric Singular Domains with Arbitrary Data

2020 ◽  
Vol 20 (3) ◽  
pp. 419-435
Author(s):  
Franck Assous ◽  
Irina Raichik
Keyword(s):  
Numerical Solution ◽  
Variational Formulation ◽  
Numerical Experiments ◽  
Maxwell Equations ◽  
Three Dimensional ◽  
Singular Part ◽  
Time Dependent ◽  
Singular Domains ◽  
Depth Study ◽  
Axisymmetric Problems

AbstractWe propose a numerical method to solve the three-dimensional static Maxwell equations in a singular axisymmetric domain, generated by the rotation of a singular polygon around one of its sides. The mathematical tools and an in-depth study of the problem set in the meridian half-plane are exposed in [F. Assous, P. Ciarlet, Jr., S. Labrunie and J. Segré, Numerical solution to the time-dependent Maxwell equations in axisymmetric singular domains: the singular complement method, J. Comput. Phys. 191 2003, 1, 147–176] and [P. Ciarlet, Jr. and S. Labrunie, Numerical solution of Maxwell’s equations in axisymmetric domains with the Fourier singular complement method, Differ. Equ. Appl. 3 2011, 1, 113–155]. Here, we derive a variational formulation and the corresponding approximation method. Numerical experiments are proposed, and show that the approach is able to capture the singular part of the solution. This article can also be viewed as a generalization of the Singular Complement Method to three-dimensional axisymmetric problems.

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