CC_DISPLAY is a MATLAB program which displays the abscissas used in a 2D quadrature rule.
The current version only considers a single Clenshaw Curtis grid, in which the orders of the rule in the X and Y directions may differ.
Eventually, some other variations will be added, in which the points associated with an isotropic Smolyak rule will be displayed, or in which several sets of Clenshaw Curtis grids will be superimposed, or a Gauss-Legendre rule will be displayed.
The computer code and data files made available on this web page are distributed under the GNU LGPL license.
CC_DISPLAY is available in a MATLAB version.
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CC_GRID displays a single Clenshaw Curtis 2D grid of orders M by N:
CC_GRIDS_MINMAX displays all Clenshaw Curtis grids of orders M by N such that M+N is between Q_MIN and Q_MAX:
CC_LEVELS_MINMAX displays all Clenshaw Curtis grids of levels M by N such that M+N is between LEVEL_MIN and LEVEL_MAX. Note that the order, or number of points, in the one dimensional rules, is related to the one dimensional levels by ORDER=2**LEVEL+1 (except that the LEVEL=0 corresponds to ORDER=1):
CC_GRIDS_CONSTRAINED displays all Clenshaw Curtis grids of orders M by N such that M and N lie between ORDER_MIN and ORDER_MAX, and ALPHA1*M+ALPHA2*N<=Q_MAX:
CC_LEVELS_CONSTRAINED displays all Clenshaw Curtis grids of levels M by N such that M and N lie between LEVELS_MIN and LEVELS_MAX, and ALPHA1*M+ALPHA2*N<=Q_MAX:
You can go up one level to the MATLAB source codes.