TY - JOUR
T1 - On the Stability of Finite-Difference Schemes of Higher-Order Approximate One-Way Wave Equations
AU - Wang , Yingxing
AU - Zhang , Guan-Quan
JO - Journal of Computational Mathematics
VL - 2
SP - 97
EP - 110
PY - 1988
DA - 1988/06
SN - 6
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/9502.html
KW - 
AB - <p style="text-align: justify;">The finite difference migration, proposed and developed by J.F. Claerbout, is now widely used in seismic data processing. The method has a limitation that the events are not dipping too much. Guanquan ZHANG derived a new version of higher-order approximation of one-way wave equation in the form of systems of lower-order equations. For these systems he constructed some suitable difference schemes and developed a new algorithm of finite-difference migration for steep dips. In this paper, we discuss the stability of these difference schemes by the method of energy estimation.</p>