ISSN:
0368-492X
Source:
Emerald Fulltext Archive Database 1994-2005
Topics:
Computer Science
Notes:
This paper is intended to provide a numerical method for computing integrals of several variables. The method is based on a intuitive geometric idea relative to the meaning of densifying a domain in Rn+1(n=1) by a curve h(t), contained in that domain, say K, with a very small density a (this must be interpreted as the following property: for any point of K there exists a point of the curve at distance less or equal than a).Thus, the method states that any area, volume, etc, can be computed as the limit of the length of a certain curve, densifying that domain, multiplied by a power of its density. Therefore, the computation of a multiple integral of a nonnegative continuous function can be approached by a simple integral corresponding to the length of the curve h(t) and certain power of its density.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1108/03684920210419010
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