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DOE OSTI · 1909527

LaplaceInterpolation.jl: A Julia package for fast interpolation on a grid

Rao, Vishwas·Haley, Charlotte·Anitescu, Mihai
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Abstract

We implement a linear-time algorithm for interpolation on a regular multidimensional grid in the Julia language. The algorithm is an approximate Laplace interpolation (Press, 1992) when no parameters are given; and when parameters m ∈ Z and ϵ > 0 are set, the interpolant approximates a Matérn kernel, of which radial basis functions and polyharmonic splines are a special case. We implement, in addition, Neumann, Dirichlet (trivial), and average boundary conditions with potentially different aspect ratios in the different dimensions. The interpolant functions in arbitrary dimensions.

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97 MATHEMATICS AND COMPUTING

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BibTeXRIS

Rao, Vishwas, Haley, Charlotte, Anitescu, Mihai. 2022-02-04. LaplaceInterpolation.jl: A Julia package for fast interpolation on a grid. https://doi.org/10.21105/joss.03766

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