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Higher order paraxial wave equation approximations in heterogeneous media
KTH, School of Computer Science and Communication (CSC), Numerical Analysis, NA.
1988 (English)In: SIAM Journal on Applied Mathematics, ISSN 0036-1399, E-ISSN 1095-712X, Vol. 48, 129-154 p.Article in journal (Refereed) Published
Abstract [en]

A new family of paraxial wave equation approximations is derived. These approximations are of higher order accuracy than the parabolic approximation and they can be applied to the same computational problems, e.g., in seismology, underwater acoustics and as artificial boundary conditions. The equations are written as systems which simplify computations. The support and singular support are studied; energy estimates are given which prove the well-posedness. The reflection and transmission are shown to be continuously dependent on material interfaces in heterogeneous media

Place, publisher, year, edition, pages
1988. Vol. 48, 129-154 p.
National Category
Computer and Information Science
URN: urn:nbn:se:kth:diva-90505DOI: 10.1137/0148006OAI: diva2:505746
NR 20140805Available from: 2012-02-24 Created: 2012-02-24Bibliographically approved

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Engquist, Björn
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ReferencesLink to record
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