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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…
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…
Fast finite-difference convolution for 3D problems in layered media
Vladimir Druskin, Mikhail Zaslavsky
We developed fast direct solver for 3D Helmholtz and Maxwell equations in layered medium. The algorithm is based on the ideas of cyclic reduction for separable matrices. For the gr…