Computing scattering resonances

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 given, with the potential merely required to be \mathcal{C}^1 and have compact support. The proof is constructive, providing a universal algorithm which only needs to access the values of the potential at any requested point. Numerical examples are provided and compared with known results.