User pavel holoborodko - MathOverflow most recent 30 from http://mathoverflow.net 2013-06-19T16:13:27Z http://mathoverflow.net/feeds/user/9040 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/28669/numerical-integration-over-2d-disk/37859#37859 Answer by Pavel Holoborodko for Numerical integration over 2D disk Pavel Holoborodko 2010-09-06T08:35:52Z 2010-12-16T01:33:14Z <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-dimensions Comment by Pavel Holoborodko Pavel Holoborodko 2012-03-22T00:45:15Z 2012-03-22T00:45:15Z Well, maybe I'm missing something but since then transformations/rotations in n-dimensions became of &quot;undergraduate&quot; level? Would appreciate any pointers to textbooks then. http://mathoverflow.net/questions/28669/numerical-integration-over-2d-disk/37859#37859 Comment by Pavel Holoborodko Pavel Holoborodko 2010-09-07T00:48:21Z 2010-09-07T00:48:21Z Besides product rule description &amp; source code page lists optimal cubatures for \$N=4,8\$ you are looking for (see table in &lt;i&gt;Direct derivation&lt;/i&gt;).