A FULLY PSEUDOSPECTRAL SCHEME FOR SOLVING SINGULAR HYPERBOLIC EQUATIONS ON CONFORMALLY COMPACTIFIED SPACE-TIMES

DOI10.1142/S0219891609001769zbMath1183.35016arXiv0801.1455OpenAlexW1536486332MaRDI QIDQ3636284

Marcus Ansorg, J. D. Hennig

Publication date: 30 June 2009

Published in: Journal of Hyperbolic Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0801.1455

zbMATH Keywords

Cauchy problemconformal compactificationspectral methodshyperboloidal initial-boundary value problem

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) Wave equation (35L05) Theoretical approximation in context of PDEs (35A35) Special relativity (83A05) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

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Cites Work

• On the regularity of solutions to the Yamabe equation and the existence of smooth hyperboloidal initial data for Einstein's field equations
• On ``hyperboloidal Cauchy data for vacuum Einstein equations and obstructions to smoothness of Scri
• Layer based solutions for constrained space-time meshing.
• Highly accurate calculation of rotating neutron stars
• A scheme to numerically evolve data for the conformal Einstein equation
• General Relativity
• Conformal infinity
• Scalar curvature deformation and a gluing construction for the Einstein constraint equations
• Asymptotically flat initial data with prescribed regularity at infinity.

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