Numerical integration of continuously differentiable
functions f(x,y) over simple closed polygonal domains.
The following cubature methods are implemented:
product Gauss cubature (Sommariva and Vianello, 2007,
<doi:10.1007/s10543-007-0131-2>),
the simple two-dimensional midpoint rule
(wrapping 'spatstat.geom' functions),
adaptive cubature for radially symmetric functions via line
integrate() along the polygon boundary (Meyer and Held, 2014,
<doi:10.1214/14-AOAS743>, Supplement B),
and integration of the bivariate Gaussian density based on
polygon triangulation.
For simple integration along the axes, the 'cubature' package
is more appropriate.

Cubature over Polygonal Domains

package-ubuntu-20.04-r-4.0.5#cran#polyCub-0.8.0

<p>This is nothing else than <code>sum(x*y)</code>.
</p>

<table summary="R argblock"><tr valign="top">
<td><code>x, y</code></td>
<td>
<p>numeric vectors (of compatible lengths).</p>
</td>
</tr></table>

package-ubuntu-20.04-r-4.0.5#cran#polyCub-0.8.0#docs#dotprod

dotprod

Description

Usage

Arguments

Value

polyCub

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