TY - JOUR
T1 - Asymptotic Stability of an Eikonal Transformation Based ADI Method for the Paraxial Helmholtz Equation at High Wave Numbers
JO - Communications in Computational Physics
VL - 4
SP - 1275
EP - 1292
PY - 2012
DA - 2012/12
SN - 12
DO - http://doi.org/10.4208/cicp.100811.090112a
UR - https://global-sci.org/intro/article_detail/cicp/7334.html
KW - 
AB - <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>