spgrid

Compute the sparse grid point coordinates.

Syntax

X = spgrid(N,D)
X = spgrid(N,D,OPTIONS)

Description

X = spgrid(N,D) Computes the sparse grid points of level N and problem dimension D. The coordinate value of dimension i = 1..d is stored in column i of the matrix X. One row of the matrix X represents one grid point.

X = spgrid(N,D,OPTIONS) computes the sparse grid points as above, but with default grid type replaced by the grid type specified in OPTIONS, an argument created with the spset function.

Remark. Note that spgrid only computes the grid points that are added to the interpolant at level N.

Examples

Compute the grid points of the Clenshaw-Curtis (default) grid for the first 3 levels (n = 0..2), dimension d = 2, and display them:

d = 2;
for n = 0:2
  x = spgrid(n,d)
end

x =
    0.5000    0.5000

x =
         0    0.5000
    1.0000    0.5000
    0.5000         0
    0.5000    1.0000

x =
    0.2500    0.5000
    0.7500    0.5000
         0         0
    1.0000         0
         0    1.0000
    1.0000    1.0000
    0.5000    0.2500
    0.5000    0.7500

See Also

cmpgrids, plotgrid, spset.