Volume 6, Issue 2
On the Stability of Finite-Difference Schemes of Higher-Order Approximate One-Way Wave Equations

Ying-xian Wang & Guan-quan Zhang

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J. Comp. Math., 6 (1988), pp. 97-110

Published online: 1988-06

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  • 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.

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@Article{JCM-6-97, author = {}, 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/}, url = {http://global-sci.org/intro/article_detail/jcm/9502.html} }
TY - JOUR T1 - On the Stability of Finite-Difference Schemes of Higher-Order Approximate One-Way Wave Equations JO - Journal of Computational Mathematics VL - 2 SP - 97 EP - 110 PY - 1988 DA - 1988/06 SN - 6 DO - http://dor.org/ UR - https://global-sci.org/intro/jcm/9502.html KW - AB - 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.
Ying-xian Wang & Guan-quan Zhang. (1970). On the Stability of Finite-Difference Schemes of Higher-Order Approximate One-Way Wave Equations. Journal of Computational Mathematics. 6 (2). 97-110. doi:
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