On the Stability of Finite-Difference Schemes of Higher-Order Approximate One-Way Wave Equations

On the Stability of Finite-Difference Schemes of Higher-Order Approximate One-Way Wave Equations

Year:    1988

Author:    Yingxing Wang, Guan-Quan Zhang

Journal of Computational Mathematics, Vol. 6 (1988), Iss. 2 : pp. 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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/1988-JCM-9502

Journal of Computational Mathematics, Vol. 6 (1988), Iss. 2 : pp. 97–110

Published online:    1988-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    14

Keywords:   

Author Details

Yingxing Wang

Guan-Quan Zhang