CUBE_DISPLAY Integer Data Cube Plots

CUBE_DISPLAY is a MATLAB program which creates a plot over a range of integer cubes, which can be painted red (new stuff) and or blue (old stuff).

Related Data and Programs:

cube_display, a MATLAB program which displays a cube plot, over integer triples of data, of a function defined by two formulas.

Source Code:

The CC functions are just a quick fix to allow me to define the degrees of 3D Clenshaw-Curtis sparse grids.

CC represents the Smolyak Clenshaw Curtis polynomials for which log2(D1-1)+log2(D2-1)+log2(D3-1) <= L. Blue indicates "old" data, and red "new".

DEGREE482 represents the monomials precisely integrated by an anisotropic quadrature rule, assuming the quadrature rule is just powerful enough to integrate x^4 and y^8 and z^2.

DEGREE8 represents the monomials precisely integrated by quadrature rules, assuming the quadrature rule is just powerful enough to integrate x^8 and y^8 and z^8.

HC represents the hyperbolic cross polynomials for which (D1+1)*(D2+1)*(D3+1) <= L. Blue indicates "old" data, and red "new".

MD represents the maximum degree polynomials for which max ( D1, D2, D3 ) <= L. Blue indicates "old" data, and red "new".

TD represents the total degree polynomials for which D1 + D2 + D3 <= L. Blue indicates "old" data, and red "new".

Last revised on 22 December 2018.