A 3D Summation-by-Parts scheme on a Hyperboloidal Foliation of Minkowski
This paper presents a stable, fully 3D Summation-by-Parts scheme for linear wave equations on hyperboloidal foliations of Minkowski spacetime. It effectively addresses the coordinate singularities associated with curvilinear coordinates and infinity through compactification. Additionally, it generalizes the definition of Kreiss-Oliger dissipation to curvilinear coordinates on general spatial manifolds, demonstrating promising results for future applications to nonlinear systems, such as the Einstein Field Equations.