Crate lebedev_laikov

Lebedev–Laikov quadrature

Approximates surface integrals over the sphere as:

∫ f(Ω) dΩ = ∫ f(θ, φ) sin(θ) dθ dφ ≈ 4 π ∑ₖ wₖ f(xₖ, yₖ, zₖ)

Note that the weights are normalized such that they sum to one.

Reference

V. I. Lebedev, and D. N. Laikov, “A quadrature formula for the sphere of the 131st algebraic order of accuracy,” Doklady Mathematics, 59 (3), 477-481 (1999). http://rad.chem.msu.ru/~laikov/ru/DAN_366_741.pdf

Modules

ffi

Constants

NS

The list of numbers of nodes supported by this quadrature scheme.

Functions

ld

Populate the given slices with the Lebedev–Laikov grid points (x, y, and z) and weights w. All four slices must have the same length, equal to the number of nodes requested. Node that only certain number of nodes are supported (see NS).

ld_vecs

Same as ld but returns the tables as vectors.