6 papers
Quantitative synthetic aperture radar inversion
Liliana Borcea, Josselin Garnier, Alexander V. Mamonov +1
We study an inverse scattering problem for monostatic synthetic aperture radar (SAR): Estimate the wave speed in a heterogeneous, isotropic and nonmagnetic medium probed by waves e…
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…
Waveform inversion with a data driven estimate of the internal wave
Liliana Borcea, Josselin Garnier, Alexander V. Mamonov +1
We study an inverse problem for the wave equation, concerned with estimating the wave speed, aka velocity, from data gathered by an array of sources and receivers that emit probing…
Reduced Order Modeling for First Order Hyperbolic Systems with Application to Multiparameter Acoustic Waveform Inversion
Liliana Borcea, Josselin Garnier, Alexander V. Mamonov +1
Waveform inversion seeks to estimate an inaccessible heterogeneous medium from data gathered by sensors that emit probing signals and measure the generated waves. It is an inverse…
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…