4 papers
Computing Klein-Gordon Spectra
Frank Rösler, Christiane Tretter
We study the computational complexity of the eigenvalue problem for the Klein-Gordon equation in the framework of the Solvability Complexity Index Hierarchy. We prove that the eige…
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…
On The Solvability Complexity Index for Unbounded Selfadjoint Operators and Schrödinger Operators
Frank Rösler
We study the solvability complexity index (SCI) for unbounded selfadjoint operators on separable Hilbert spaces and perturbations thereof. In particular, we show that if the extend…