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Article
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SIAM Journal on Numerical Analysis
Article . 1985 . Peer-reviewed
Data sources: Crossref
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Convergence of Numerical Inversion Methods for Discontinuous Impedance Profiles

Convergence of numerical inversion methods for discontinuous impedance profiles
Authors: Bube, Kenneth P.;

Convergence of Numerical Inversion Methods for Discontinuous Impedance Profiles

Abstract

Application of an impulse plane wave in pressure onto the surface of a piecewise smooth, stratified elastic half-space leads to the system of differential equations \(\zeta (x)w_ t+p_ x=0,\quad p_ t+\zeta (x)w_ x=0,\quad x\geq 0,\quad -\infty

Keywords

second order accurate equation, Inverse problems for waves in solid mechanics, second order convergence, impedance profile, Stability and convergence of numerical methods for boundary value problems involving PDEs, ramp response, Gopinath-Sondhi integral equation method, theory of geometrical acoustics, Numerical and other methods in solid mechanics, reflection seismology, method of downward continuation, step response, surface, piecewise smooth, stratified elastic half-space, impulse plane wave, one-dimensional inverse problem, second order difference schemes

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
7
Average
Top 10%
Average
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