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A. Mikhaylov

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Open access Oct 2026

Wave discrete inverse problems: From boundary control to Gelfand–Levitan–Krein equations

Abstract This paper develops a unified discrete framework for dynamic, spectral, and scattering inverse problems associated with the one-dimensional wave equation with a potential on a semi-axis. Using a second-order explicit finite-difference scheme, we reduce the continuous initial-boundary value problem to a discret...

S. Kabanikhin, A. Mikhaylov, M. Shishlenin · 0 citations

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