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Reduced Order Modeling for First Order Hyperbolic Systems with Application to Multiparameter Acoustic Waveform Inversion
Liliana Borcea, Josselin Garnier, Alexander V. Mamonov +1
Waveform inversion seeks to estimate an inaccessible heterogeneous medium from data gathered by sensors that emit probing signals and measure the generated waves. It is an inverse…
math.NA2025
Inverse scattering for Schrödinger equation in the frequency domain via data-driven reduced order modeling
Andreas Tataris, Tristan van Leeuwen, Alexander V. Mamonov
In this paper we develop a numerical method for solving an inverse scattering problem of estimating the scattering potential in a Schrödinger equation from frequency domain measure…