### 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.

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