spquad, a MATLAB code which computes a sparse grid quadrature rule to estimate a multidimensional integral. The quadrature rules created by the program are based on the Clenshaw-Curtis rule. The code is by Greg von Winckel.
The original version of this software is available at the Matlab Central File Exchange: https://www.mathworks.com/matlabcentral/fileexchange/19063-sparse-grid-quadrature/content/spquad.m.
The spquad() function, by default, assumes that the integration region is [-1,+1]^d, where d is the spatial dimension. The function includes an optional argument bpt, which is an array allowing the user to specify the lower and upper endpoints of integration. However, in the experience of the installer, this extra argument does not seem to have the correct effect, resulting in quadrature rules that are not correctly shifted to the new domain. A note has been sent to the author asking for clarification. In the meantime, the user can compute the rule for [-1,+1]^d and use a simple linear transformation to adjust the points and weights to a nondefault integration region.
The information on this web page is distributed under the MIT license.
spquad is available in a MATLAB version and an Octave version.
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Greg von Winckel