High Order Approximation of One-Way Wave Equations

High Order Approximation of One-Way Wave Equations

Year:    1985

Journal of Computational Mathematics, Vol. 3 (1985), Iss. 1 : pp. 90–96

Abstract

In this article the high order approximation of the one-way wave equations are discussed. The approximate dispersion relations are expressed in explicit form of sums of simple fractions. By introducing new functions, the high order approximations of the one-way wave equations are put into the form of systems of lower order equations. The initial-boundary value problem of these systems which corresponds to the migration problem in seismic prospecting is discussed. The energy estimates for their solutions are obtained.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/1985-JCM-9609

Journal of Computational Mathematics, Vol. 3 (1985), Iss. 1 : pp. 90–96

Published online:    1985-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    7

Keywords: