Some mathematical problems in numerical relativity

Document Type


Publication Date

Spring 4-21-2004


The main goal of numerical relativity is the long time simulation of highly nonlinear spacetimes that cannot be treated by perturbation theory. This involves analytic, computational and physical issues. At present, the major impasses to achieving global simulations of physical usefulness are of an analytic/ computational nature. We present here some examples of how analytic insight can lend useful guidance for the improvement of numerical approaches.


This is a preprint which was published at a later date in Babiuc, M., Szilágyi, B., & Winicour, J. (2006). Some mathematical problems in numerical relativity. In Analytical and Numerical Approaches to Mathematical Relativity (pp. 251-274). Springer Berlin Heidelberg.