activity
20112026
most citedA model reduction approach to numerical inversion for a parabolic partial differential equation

31 citations · 239 across the 29 of their papers we have counts for

collaborators

31 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.NA2025

A Krylov projection algorithm for large symmetric matrices with dense spectra

Vladimir Druskin, Jörn Zimmerling

We consider the approximation of for large s.p.d. with dense spectrum and , . We target the com…

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.NA2024

Monotonicity, bounds and extrapolation of Block-Gauss and Gauss-Radau quadrature for computing

Jörn Zimmerling, Vladimir Druskin, Valeria Simoncini

In this paper, we explore quadratures for the evaluation of where is a symmetric positive-definite (s.p.d.) matrix in , is a tall matr…

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…