One dimensional acoustic direct nonlinear inversion using the Volterra inverse scattering series

DOI10.1088/0266-5611/30/7/075006zbMath1295.65129OpenAlexW2050409679MaRDI QIDQ2874804

A. C. Lesage, Jie Yao, Fazle Hussain, Donald J. Kouri, Bernhard G. Bodmann

Publication date: 8 August 2014

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/dffcd8fbcf285cdac94a7aef811e7d8fa4a0f898

zbMATH Keywords

convergenceacoustic scatteringHelmholtz equationnonlinear Volterra integral equationLippmann-Schwinger equationBorn-Neumann series solutiondirect nonlinear inversioninverse scattering seriesseries summation techniquesVolterra renormalization

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10) Volterra integral equations (45D05) Numerical methods for inverse problems for integral equations (65R32)

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