A numerical method for scattering from infinity

We present a numerical framework for solving global wave scattering problems in asymptotically flat spacetimes. Incoming data are prescribed at past null infinity, and the outgoing solution is extracted at future null infinity. The method employs an adapted coordinate system combining time-translation invariant hyperboloidal foliations with Penrose coordinates, enabling a stable and efficient evolution covering the asymptotic domains. We illustrate the effectiveness of this approach by solving semilinear wave equations with cubic and quintic nonlinearities, as well as wave propagation in the presence of the Pöschl-Teller potential. The proposed framework offers a robust tool for studying scattering phenomena from infinity. This framework provides a first-principles numerical setting for probing nonlinear scattering, radiation tails, and asymptotic structure in general relativity and field theory.