User pavel holoborodko - MathOverflowmost recent 30 from http://mathoverflow.net2013-06-19T16:13:27Zhttp://mathoverflow.net/feeds/user/9040http://www.creativecommons.org/licenses/by-nc/2.5/rdfhttp://mathoverflow.net/questions/28669/numerical-integration-over-2d-disk/37859#37859Answer by Pavel Holoborodko for Numerical integration over 2D diskPavel Holoborodko2010-09-06T08:35:52Z2010-12-16T01:33:14Z<p>Here is link to my site, where I publish some of the cubatures of such kind:</p>
<p><a href="http://www.holoborodko.com/pavel/numerical-methods/numerical-integration/cubature-formulas-for-the-unit-disk/" rel="nofollow" title="Cubature formulas for the unit disk">Cubature formulas for the unit disk</a></p>
<p>Page also gives C source code for the numerical integration by the product of two 1D Gauss-type quadratures. Images of points distribution in that case are available too.</p>
<p>Let me know if you find it useful.</p>
http://mathoverflow.net/questions/91811/basis-transformation-in-arbitrary-dimensionsComment by Pavel HoloborodkoPavel Holoborodko2012-03-22T00:45:15Z2012-03-22T00:45:15ZWell, maybe I'm missing something but since then transformations/rotations in n-dimensions became of "undergraduate" level?
Would appreciate any pointers to textbooks then. http://mathoverflow.net/questions/28669/numerical-integration-over-2d-disk/37859#37859Comment by Pavel HoloborodkoPavel Holoborodko2010-09-07T00:48:21Z2010-09-07T00:48:21ZBesides product rule description & source code page lists optimal cubatures for $N=4,8$ you are looking for (see table in <i>Direct derivation</i>).