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math.NA2019
Reduced Order Model Approach to Inverse Scattering
Liliana Borcea, Vladimir Druskin, Alexander V. Mamonov +2
We study an inverse scattering problem for a generic hyperbolic system of equations with an unknown coefficient called the reflectivity. The solution of the system models waves (so…
math.NA2019
Reduced order models for spectral domain inversion: Embedding into the continuous problem and generation of internal data
Liliana Borcea, Vladimir Druskin, Alexander V. Mamonov +2
We generate data-driven reduced order models (ROMs) for inversion of the one and two dimensional Schrödinger equation in the spectral domain given boundary data at a few frequencie…