L. Rezzolla

Title: Numerical Relativistic Hydrodynamics: state of the art and new ideas

Abstract: I will discuss the modern developments in the numerical solution of the relativistic hydrodynamics equations. In particular, I will first introduce finite-difference methods as generic approximations of the continuous relativistic Euler equations and then concentrate on the problems, and solutions to these problems, that can be found within the different approaches. Special attention will be devoted to the discussion of Godunov-type methods, illustrating their mathematical properties and the numerical benefits. The lecture will be extremely pedagogical and no specific knowledge in computational physics is required.

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Copyright 29.VIII.02 by P.T.Chrusciel, A.Chopin, and L. Rezzolla