# [Numpy-discussion] Numeric integration of higher order integrals

Mario Bettenbuehl bettenbu@uni-potsdam...
Wed Jun 1 04:44:08 CDT 2011

```Hello everyone,

I am currently tackling the issue to numerically solve an integral of
higher dimensions numerically. I am comparing models
and their dimension increase with 2^n order.
Taking a closer look to its projections along the axes, down to a two
dimensions picture, the projections are of Gaussian nature, thus
they show a Gaussian bump.

1. brute force:        Process the values at discrete grid points
and calculate the area of the obtained rectangle, cube, ... with a grid
of 5x5x5x5 for a 4th order equation.
numpy/ scipy with a grid size of 100x100x...

The problem I have:
For 1:    How reliable are the results and does anyone have experience
with equations whose projections are Gaussian like and solved these with
the straight-forward-method? But how large should the grid be.
For 2:    How large do I need to choose the grid to still obtain
reliable results? Is a grid of 10x10 sufficiently large?

Greetings,
Mario
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