• Corpus ID: 211506788

Numerical Relativity with Arbitrary Precision Arithmetic: Applications to Gravitational Collapse

@article{SantosOlivan2018NumericalRW,
  title={Numerical Relativity with Arbitrary Precision Arithmetic: Applications to Gravitational Collapse},
  author={Daniel Santos-Oliv'an and Carlos F. Sopuerta},
  journal={arXiv: Computational Physics},
  year={2018}
}
Numerical Relativity is a mature field with many applications in Astrophysics, Cosmology and even in Fundamental Physics. As such, we are entering a stage in which new sophisticated methods adapted to open problems are being developed. In this paper, we advocate the use of Pseudo-Spectral Collocation (PSC) methods in combination with high-order precision arithmetic for Numerical Relativity problems with high accuracy and performance requirements. The PSC method provides exponential convergence… 
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