Abstract

GUZMAN, F.S. Introduction to numerical relativity through examples. Rev. mex. fis. [online]. 2007, vol.53, suppl.4, pp.78-93. ISSN 0035-001X.

In these notes some examples of how to apply finite differencing to the solution of partial differential equations are presented and analyzed. The aim of this manuscript is to offer the reader a first step toward the numerical solution of sufficiently complicated and interesting problems within general relativity. The topics include the solution of the wave equation in one spatial dimension and the solution of real and complex self-gravitating scalar fields with spherical symmetry.

Keywords : Numerical methods; numerical relativity; self-gravitating systems.

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