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

Fadil Santosa

doi:10.1111/j.1365-246X.1982.tb06402.x

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

Fadil Santosa

School of Mathematics

Research output: Contribution to journal › Article › peer-review

41 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 language	English (US)
Pages (from-to)	229-243
Number of pages	15
Journal	Geophysical Journal of the Royal Astronomical Society
Volume	70
Issue number	1
DOIs	https://doi.org/10.1111/j.1365-246X.1982.tb06402.x
State	Published - Jul 1982

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10.1111/j.1365-246X.1982.tb06402.x

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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.",

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year = "1982",

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N2 - 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.

AB - 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.

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JO - Geophysical Journal of the Royal Astronomical Society

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

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