@Article{JCM-6-2, author = {Yingxing, Wang and Zhang, Guan-Quan}, title = {On the Stability of Finite-Difference Schemes of Higher-Order Approximate One-Way Wave Equations}, journal = {Journal of Computational Mathematics}, year = {1988}, volume = {6}, number = {2}, pages = {97--110}, abstract = {
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.
}, issn = {1991-7139}, doi = {https://doi.org/1988-JCM-9502}, url = {https://global-sci.com/article/86138/on-the-stability-of-finite-difference-schemes-of-higher-order-approximate-one-way-wave-equations} }