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Numerical integration in more dimensions (part 2)
| Speaker: |
R. Minero, M Sc |
| Date: |
Wednesday October 16, 2002 |
| Title: |
Numerical integration in more dimensions (part 2) |
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Abstract
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| The second session of the seminar in numerical integration in
more
dimensions adds more details to what has been introduced during the
first
lecture: for example, how the problem of integrating a function over a
certain domain W can be reduced to the sum of integrals over a basic
geometry
is explained through the introduction of a mapping function F, whose
properties
will be shown and analysed.
The open problem of finding the least amount of points and
weights such
that the integral over a basic geometry is exact up to polynomials of a
certain degree is then tackled: several possible solutions are
critically
discussed with the intention of giving the audience an ample overview
of
the problem.
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