24 citations · 44 across the 19 of their papers we have counts for
5 papers · 1 filter
Universal algorithms for computing spectra of periodic operators
Jonathan Ben-Artzi, Marco Marletta, Frank Rösler
Schrödinger operators with periodic (possibly complex-valued) potentials and discrete periodic operators (possibly with complex-valued entries) are considered, and in both cases th…
Computing the Sound of the Sea in a Seashell
Jonathan Ben-Artzi, Marco Marletta, Frank Rösler
The question of whether there exists an approximation procedure to compute the resonances of any Helmholtz resonator, regardless of its particular shape, is addressed. A positive a…
Computing Scattering Resonances
Jonathan Ben-Artzi, Marco Marletta, Frank Rösler
The question of whether it is possible to compute scattering resonances of Schrödinger operators - independently of the particular potential - is addressed. A positive answer is gi…
Approximations of strongly continuous families of unbounded self-adjoint operators
Jonathan Ben-Artzi, Thomas Holding
The problem of approximating the discrete spectra of families of self-adjoint operators that are merely strongly continuous is addressed. It is well-known that the spectrum need no…
On the spectrum of shear flows and uniform ergodic theorems
Jonathan Ben-Artzi
The spectra of parallel flows (that is, flows governed by first-order differential operators parallel to one direction) are investigated, on both spaces and weighted- sp…