Two-Dimensional Integrals Using the Monte Carlo Method
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Consider the family of surfaces defined by , where
. This Demonstration plots the surface and approximates the two-dimensional integral
, the volume under the surface, using a Monte Carlo approximation method. You can vary the values of the parameters
,
, and
and the number
of randomly generated points
on the surface. The approximate volume, given by
, is compared to the result from Mathematica's built-in function NIntegrate.
Contributed by: Housam Binous, Brian G. Higgins, and Ahmed Bellagi (May 2013)
Open content licensed under CC BY-NC-SA
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