Hyperbolic formulations and numerical relativity: experiments using Ashtekar's connection variables

DOI10.1088/0264-9381/17/23/302zbMath0974.83003arXivgr-qc/0005003OpenAlexW1986281388MaRDI QIDQ2703408

Gen Yoneda, Hisa-aki Shinkai

Publication date: 5 March 2001

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

Full work available at URL: https://arxiv.org/abs/gr-qc/0005003

zbMATH Keywords

Ashtekar variablessymmetric hyperbolic systemCrank-Nicholson methodweakly hyperbolic systemstrongly hyperbolic systemnumerical gravityADM (Arnowitt-Deser-Misner) formalismBrailovskaya method

Mathematics Subject Classification ID

Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) PDEs in connection with relativity and gravitational theory (35Q75) Computational methods for problems pertaining to relativity and gravitational theory (83-08) Gravitational waves (83C35)

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