chebknots: Create a Chebyshev-grid

In chebpol: Multivariate Interpolation

Description

Create a Chebyshev grid on a hypercube.

Usage

chebknots(dims, intervals = NULL)

Arguments

dims	The number of grid-points in each dimension. For Chebyshev-polynomial of degree dims-1.
intervals	A list of vectors of length 2. The lower and upper bounds of the hypercube.

Details

If intervals is not provided, it is assumed that the domain of the function in each dimension is [-1,1]. Thus, standard Chebyshev knots are produced. If dims is of length 1, intervals may be a vector of length 2 rather than a list with a vector of length 2.

Value

A array of dimension dims. The Chebyshev grid-points.

Examples

## Standard knots for degree 3
chebknots(4)
## Knots in the interval [2,3] for degree 3
chebknots(4,interval=c(2,3))
## Multivariate knots
chebknots(c(x=3,y=4,z=3))
## Multivariate grid
## Not run: 
expand.grid(chebknots(c(x=3,y=4,z=5), list(c(1,3), c(4,6), c(800,900))))

## End(Not run)

chebpol documentation built on Dec. 9, 2019, 5:08 p.m.