5 papers
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…
Lippmann-Schwinger-Lanczos algorithm for inverse scattering problems with unknown reflectivity and loss distributions: One-dimensional Case
Jorn Zimmerling, Mikhail Zaslavsky, Alexander V. Mamonov +2
We consider one-dimensional inverse scattering in attenuating media where both the reflectivity and loss distributions are unknown. Mathematically, this corresponds to recovering t…
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…
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…
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 mat…