Numerical solution of the problem of computational time reversal in a quadrant

DOI10.1080/17455030600830377zbMath1191.65126OpenAlexW2065214097MaRDI QIDQ3576447

Michael V. Klibanov, Dmitrii V. Nechaev, Sergey I. Kabanikhin

Publication date: 30 July 2010

Published in: Waves in Random and Complex Media (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17455030600830377

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32)

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Cites Work

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• The boundary value problems of mathematical physics. Transl. from the Russian by Jack Lohwater
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• Numerical solution of a time-like Cauchy problem for the wave equation
• Stability estimates for ill-posed cauchy problems involving hyperbolic equations and inequalities
• Imaging and time reversal in random media
• Numerical solution of 2D thermoacoustic problem
• Lipschitz stability for hyperbolic inequalities in octants with the lateral Cauchy data and refocising in time reversal

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