Computational Mathematics in Cosmology

Abstract

In this paper, I briefly review two problems from
cosmology where computational mathematics could play a
decisive role. The first problem concerns "Time’s Arrow", i.e.
the question why time seems to have a definite direction in spite
of the fact that the underlying laws of nature appear to be
essentially time-symmetric. The second problem concerns the
origin of so called "dark energy": it may be that the field
equations of general relativity have a much more complicated
structure than they are usually thought to have. In both cases,
computational mathematics could contribute, not just by solving
given problems, but also by formulating the models properly.