Fully pseudospectral solution of the conformally invariant wave equation near the cylinder at spacelike infinity

DOI10.1088/0264-9381/31/8/085010zbMath1292.83003arXiv1311.6786OpenAlexW3105041497MaRDI QIDQ5419610

Jörg Frauendiener, J. D. Hennig

Publication date: 10 June 2014

Published in: Classical and Quantum Gravity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1311.6786

zbMATH Keywords

collocation methodsasymptotic structurenumerical relativityconformally invariant wave equation

Mathematics Subject Classification ID

Wave equation (35L05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Exact solutions to problems in general relativity and gravitational theory (83C15) Computational methods for problems pertaining to relativity and gravitational theory (83-08) Approximation procedures, weak fields in general relativity and gravitational theory (83C25)

Related Items (7)

The characteristic initial value problem for the conformally invariant wave equation on a Schwarzschild background ⋮ Spectral methods for the spin-2 equation near the cylinder at spatial infinity ⋮ Fully pseudospectral solution of the conformally invariant wave equation near the cylinder at spacelike infinity. II: Schwarzschild background ⋮ Fully pseudospectral solution of the conformally invariant wave equation near the cylinder at spacelike infinity. III: nonspherical Schwarzschild waves and singularities at null infinity ⋮ Fully pseudospectral solution of the conformally invariant wave equation on a Kerr background ⋮ The Fuchsian approach to global existence for hyperbolic equations ⋮ A Fuchsian viewpoint on the weak null condition

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