35 citations · 64 across the 9 of their papers we have counts for
9 papers
Spectral edge detection in two dimensions using wavefronts
Leslie Greengard, Chris Stucchio
A recurring task in image processing, approximation theory, and the numerical solution of partial differential equations is to reconstruct a piecewise-smooth real-valued function f…
Reconstructing Curves from Points and Tangents
Leslie Greengard, Chris Stucchio
Reconstructing a finite set of curves from an unordered set of sample points is a well studied topic. There has been less effort that considers how much better the reconstruction c…
Improved Error Bounds for Dirichlet-to-Neumann Absorbing Boundaries
Charles Siegel, Avy Soffer, Chris Stucchio
It has long been known how to construct radiation boundary conditions for the time dependent wave equation. Although arguments suggesting that they are accurate have been given, it…
A stable absorbing boundary layer for anisotropic waves
Avy Soffer, Chris Stucchio
For some anisotropic wave models, the PML (perfectly matched layer) method of open boundaries can become polynomially or exponentially unstable in time. In this work we present a n…
Exact Results for Ionization of Model Atomic Systems
O. Costin, J. L. Lebowitz, C. Stucchio +1
We present rigorous results for quantum systems with both bound and continuum states subjected to an arbitrary strength time-periodic field. We prove that the wave function takes t…
Multiscale Resolution of Shortwave-Longwave Interaction
A. Soffer, C. Stucchio
In the study of time-dependent waves, it is computationally expensive to solve a problem in which high frequencies (shortwaves, with wavenumber k = kmax) and low frequencies (longw…