Spectral Methods for Numerical Relativity. The Initial Data Problem
نویسندگان
چکیده
For example, investigating the Hamiltonian constraint equation for a black hole with angular momentum we find that, where finite difference solutions require a resolution of 1024×384 (radial×angular) grid points to find a solution of fractional error 10−5 in the ADM mass, a PSC solution achieves the same accuracy with only 12× 4 collocation points. Furthermore, the fractional error is reduced to 10−10 by increasing the PSC resolution to 24 × 8, while the same increase in the finite differ-
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