@Article{JCM-3-90, author = {Guan-Quan Zhang}, title = {High Order Approximation of One-Way Wave Equations}, journal = {Journal of Computational Mathematics}, year = {1985}, volume = {3}, number = {1}, pages = {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.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9609.html} }