EquiBaryInterp.jl

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This package provides local barycentric Lagrange interpolation for data on equispace grids. This is useful to provide a well-conditioned and fast-to-evaluate low-degree polynomial interpolant of equispaced data.

To construct an interpolant for some arbitrary data, the interface is like this

julia> using EquiBaryIntep

julia> nodes = range(0, 1, length=1000)

julia> data  = rand(length(nodes))

julia> p = LocalEquiBaryInterp(nodes, data, degree=8)

This returns an interpolant p that can be evaluated at any point in the span of the nodes using the functor interface, e.g. p(rand()).

The barycentric interpolation kernel used by LocalEquiBaryInterp is based on

• Berrut and Trefethen, "Barycentric Lagrange Interpolation", SIAM Review, 46, 3, 501-507, 2004

EquiBaryInterp.jl was written by Lorenzo Van Muñoz, and is free/open-source software under the MIT license.

• BarycentricInterpolation.jl
• Interpolations.jl