ABSTRACT

Numerical Relativity consists of solving Albert Einstein’s equations numerically on a computer. Numerical Relativity can handle non-linear problems since they rely on non-physical expansion parameters such as the grid spacing. In Numerical Relativity is concerned with dynamical situations, and hence it is conventional to refer to the dimension of a problem in terms of its spatial dimension. In 1986, Nakamura used reduce to first generate such large algebraic expressions and then exploited reduce’s ability to convert algebraic expressions into their fortran equivalent, prior to numerical computation. Numerical codes are only likely to be used by a very small number of people, who usually know what they are doing, and so the emphasis is on getting stable and accurate results. There is the T. Regge calculus approach which is a discrete formulation of General Relativity where blocks of flat spacetime are ‘glued’ together and curvature exists only on the two-dimensional edges of the blocks.