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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3 Pith papers cite this work. Polarity classification is still indexing.
fields
gr-qc 3years
2026 3representative 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.
Nonlinear tails of massive scalar fields around black holes decay at the same rate as linear tails during intermediate times, independent of sources or initial conditions.
citing papers explorer
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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.
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Nonlinear tails of massive scalar fields around a black hole
Nonlinear tails of massive scalar fields around black holes decay at the same rate as linear tails during intermediate times, independent of sources or initial conditions.