Numerical scheme for the inversion of acoustical impedance profile based on the Gelfand‐Levitan method

Fadil Santosa

Research output: Contribution to journalArticlepeer-review

36 Scopus citations

Abstract

Summary. An exact method for the solution of the inverse problem in plane wave propagation modelled after the Gelfand‐Levitan technique is reviewed and refined. A numerical scheme for the solution of the integral equation that arises in the method is proposed. A discussion on the stability and an error analysis of the numerical approximation are presented. The applicability of the inversion algorithm is demonstrated in a numerical experiment.

Original languageEnglish (US)
Pages (from-to)229-243
Number of pages15
JournalGeophysical Journal of the Royal Astronomical Society
Volume70
Issue number1
DOIs
StatePublished - Jul 1982

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