3 citations · 5 across the 6 of their papers we have counts for
6 papers
Computing scattering resonances of rough obstacles
Frank Rösler, Alexei Stepanenko
This paper is concerned with the numerical computation of scattering resonances of the Laplacian for Dirichlet obstacles with rough boundary. We prove that under mild geometric ass…
On the complexity of the inverse Sturm-Liouville problem
Jonathan Ben-Artzi, Marco Marletta, Frank Rösler
This paper explores the complexity associated with solving the inverse Sturm-Liouville problem with Robin boundary conditions: given a sequence of eigenvalues and a sequence of nor…
Computing eigenvalues of the Laplacian on rough domains
Frank Rösler, Alexei Stepanenko
We prove a general Mosco convergence theorem for bounded Euclidean domains satisfying a set of mild geometric hypotheses. For bounded domains, this notion implies norm-resolvent co…
A Strange Vertex Condition Coming From Nowhere
Frank Rösler
We prove norm-resolvent and spectral convergence in of solutions to the Neumann Poisson problem on a domain perforated by Dirichlet-hole…
Norm-Resolvent Convergence in Perforated Domains
Patrick Dondl, Kirill Cherednichenko, Frank Rösler
For several different boundary conditions (Dirichlet, Neumann, Robin), we prove norm-resolvent convergence for the operator in the perforated domain $Ω\setminus \bigcup_{ i\in…
A Bound on the Pseudospectrum of the Harmonic Oscillator with Imaginary Cubic Potential
Patrick W. Dondl, Patrick Dorey, Frank Rösler
We are concerned with the non-normal Schrödinger operator on , where and $\operatorname{Re} (V(x))\ge…