Derives a provably stable 3D SBP scheme for linear waves on hyperboloidal slices using compactification, rescaling, and abstract dissipation in spherical polar coordinates.
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gr-qc 2years
2026 2representative citing papers
Exact conformal matching of three compactified regions enables global time-domain evolution of scalar waves from past to future null infinity in Minkowski space without artificial timelike boundaries.
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3d Summation-by-Parts scheme for Linear Wave Equations on Hyperboloidal Slices
Derives a provably stable 3D SBP scheme for linear waves on hyperboloidal slices using compactification, rescaling, and abstract dissipation in spherical polar coordinates.
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Hyperboloidal evolution for scalar scattering in Minkowski space
Exact conformal matching of three compactified regions enables global time-domain evolution of scalar waves from past to future null infinity in Minkowski space without artificial timelike boundaries.