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We tested our computed integration formulae on six different functions
described in Table 1.
Table N-node formula is now defined as
Figure 7 and 8 show these integration errors for all
computed formulae and all test functions.
A detailed list of integration errors is contained in Tables 6
and 7 (see appendix).
Since the machine precision is about
, the computed formulae have a "treshold" at about .
Without a doubt, the errors will get smaller when the numerical integration is
done on a machine with higher machine precision (or which simulates more
accurate floating point numbers by software).
Figure , and
Figure , and
Unfortunately, to the best of our knowledge, comparable numerical results for
integration formulae do not seem to be available in the literature.
Next: Conclusions
Up: Computational Results
Previous: The Weights
Joerg Fliege
Thu Dec 23 19:39:35 CET 1999