173 citations · 437 across the 31 of their papers we have counts for
3 papers · 2 filters
Conditioning of partial nonuniform Fourier matrices with clustered nodes
Dmitry Batenkov, Laurent Demanet, Gil Goldman +1
We prove sharp lower bounds for the smallest singular value of a partial Fourier matrix with arbitrary "off the grid" nodes (equivalently, a rectangular Vandermonde matrix with the…
Stable soft extrapolation of entire functions
Dmitry Batenkov, Laurent Demanet, Hrushikesh N. Mhaskar
Soft extrapolation refers to the problem of recovering a function from its samples, multiplied by a fast-decaying window and perturbed by an additive noise, over an interval which…
The method of polarized traces for the 3D Helmholtz equation
Leonardo Zepeda-Núñez, Adrien Scheuer, Russell J. Hewett +1
We present a fast solver for the 3D high-frequency Helmholtz equation in heterogeneous, constant density, acoustic media. The solver is based on the method of polarized traces, cou…