activity
20122026
most citedA model reduction approach to numerical inversion for a parabolic partial differential equation

31 citations · 208 across the 19 of their papers we have counts for

collaborators

21 papers

math.NA2026

Data generated internal solutions for the plasma wave equation: error bounds and numerical experiments in two dimensions

Vladimir Druskin, Shari Moskow, Mikhail Zaslavsky

We consider the computation of internal solutions for a time domain plasma wave equation with an unknown potential from boundary response data. The internal solutions are compu…

math.NA2025

On optimality and bounds for internal solutions generated from boundary data-driven Gramians

V. Druskin, S. Moskow, M. Zaslavsky

We consider the computation of internal solutions for a time domain plasma wave equation with unknown coefficients from the data obtained by sampling its transfer function at the b…

math.NA2024

ROM inversion of monostatic data lifted to full MIMO

V. Druskin, S. Moskow, M. Zaslavsky

The Lippmann--Schwinger--Lanczos (LSL) algorithm has recently been shown to provide an efficient tool for imaging and direct inversion of synthetic aperture radar data in multi-sca…

math.NA2023

Regularized Reduced Order Lippman-Schwinger-Lanczos Method for Inverse Scattering Problems in the Frequency Domain

Justin Baker, Elena Cherkaev, Vladimir Druskin +2

Inverse scattering has a broad applicability in quantum mechanics, remote sensing, geophysical, and medical imaging. This paper presents a robust direct reduced order model (ROM) m…

math.NA2022★ 1 cited

Reduced order modeling inversion of mono static data in a multi-scattering environment

V. Druskin, S. Moskow, M. Zaslavsky

The data-driven reduced order models (ROMs) have recently emerged as an efficient tool for the solution of the inverse scattering problems with applications to seismic and sonar im…

math.NA2021★ 8 cited

On extension of the data driven ROM inverse scattering framework to partially nonreciprocal arrays

Vladimir Druskin, Shari Moskow, Mikhail Zaslavsky

Data-driven reduced order models (ROMs) recently emerged as powerful tool for the solution of inverse scattering problems. The main drawback of this approach is that it was limited…