@Article{CiCP-12-1275,
author = {Qin Sheng and Hai-Wei Sun},
title = {Asymptotic Stability of an Eikonal Transformation Based ADI Method for the Paraxial Helmholtz Equation at High Wave Numbers},
journal = {Communications in Computational Physics},
year = {2012},
volume = {12},
number = {4},
pages = {1275--1292},
abstract = {<p style="text-align: justify;">This paper concerns the numerical stability of an eikonal transformation based splitting method which is highly effective and efficient for the numerical solution of paraxial Helmholtz equation with a large wave number. Rigorous matrix analysis is conducted in investigations and the oscillation-free computational procedure is proven to be stable in an asymptotic sense. Simulated examples are given to illustrate the conclusion.&nbsp;</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.100811.090112a},
url = {http://global-sci.org/intro/article_detail/cicp/7334.html}
}