Pseudo-spectral technique applied to numerical solutions for stellar collapse

Computer Science – Numerical Analysis

Scientific paper

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Gravitational Collapse, Numerical Analysis, Stellar Evolution, Degrees Of Freedom, Hydrodynamics, Shock Waves, Stellar Mass Ejection, Supernovae

Scientific paper

A numerical solution of spherical gravitational collapse using pseudospectral methods is presented. It is shown that this technique makes it possible to obtain numerical results with a very high accuracy even if just a few degrees of freedom are used. In particular, it is shown how a strong shock wave may be described and how conservation laws are satisfied with high accuracy by the numerical solution. Numerical results illustrating these capacities in the case of a collapsing supernova core are presented.

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