NodesAndModes.Line

basis(N,r)

Computes the generalized Vandermonde matrix V of degree N (along with the derivative matrix Vr) at points r.

equi_nodes(N)

Computes equally spaced nodes of degree N.

grad_vandermonde(N,r)

Computes the generalized Vandermonde derivative matrix V of degree N at points r. Specialized for the 1D case

grad_vandermonde(N,rst...)

Computes the generalized Vandermonde derivative matrix V of degree N at points (r,s,t).

nodes(N)

Computes interpolation nodes of degree N.

quad_nodes(N)

Computes (N+1)-point Gauss quadrature rule (exact for degree 2N+1 polynomials)

vandermonde(N,r)

Computes the generalized Vandermonde matrix V of degree N at point r. Specialized for the 1D case

vandermonde(N,rst...)

Computes the generalized Vandermonde matrix V of degree N at points (r,s,t).