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

Journal Article · 03 February 2022 · Journal of Open Source Software

DOI: https://doi.org/10.21105/joss.03766 · OSTI ID:1909527

Rao, Vishwas  ^[1]; Haley, Charlotte  ^[1]; Anitescu, Mihai ^[2]

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1. Argonne National Laboratory (ANL), Argonne, IL (United States)
2. Argonne National Laboratory (ANL), Argonne, IL (United States); University of Chicago, IL (United States)

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.

• Research Organization: Argonne National Laboratory (ANL), Argonne, IL (United States)
• Sponsoring Organization: USDOE Office of Science (SC), Basic Energy Sciences (BES). Materials Sciences & Engineering Division
• Grant/Contract Number: AC02-06CH11357
• OSTI ID: 1909527
• Journal Information: Journal of Open Source Software, Journal Name: Journal of Open Source Software Journal Issue: 70 Vol. 7; ISSN 2475-9066
• Publisher: Open Source Initiative - NumFOCUSCopyright Statement
• Country of Publication: United States
• Language: English