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Stable Gaussian radial basis function interpolation based on HermiteGF expansion
HermiteGF stabilization code for the RBF interpolation.
Author: Anna Yurova
This is an implementation of the method described in the paper
"STABLE EVALUATION OF GAUSSIAN RADIAL BASIS FUNCTIONS USING HERMITE POLYNOMIALS"
[*STABLE EVALUATION OF GAUSSIAN RADIAL BASIS FUNCTIONS USING HERMITE POLYNOMIALS*](https://arxiv.org/abs/1709.02164)
by Anna Yurova and Katharina Kormann.
https://arxiv.org/abs/1709.02164
- HermiteGF-tensor in 1-5D. The implementation of 4-5D cases is parallel. 5D tests have to be run on a cluster to be finished in a reasonable time.
In order to install Julia on your computer, perform the following steps:
- Download julia from https://julialang.org/downloads/ and unzip it. Note: The plotting currently only works with Julia v0.5.
- Note that you need to make sure curl and cmake are installed. On Ubuntu:
sudo apt-get install curl
sudo apt-get install cmake
- Download atom from https://atom.io/ and install it (On Ubuntu the package manager can be used).
- Install uber-juno through installation manager in atom.
- Set the Julia path to the Julia binary that was installed in the first step (Use settings -> packages -> Julia -> setting).
- Start Julia.
Before running simulations. It is necessary to install the package
Installation
```julia
using Pkg
Pkg.clone("https://gitlab.mpcdf.mpg.de/clapp/HermiteGF.jl")
Pkg.add("https://gitlab.mpcdf.mpg.de/clapp/HermiteGF.jl")
using HermiteGF
```
In order to run parallel simulations, it is necessary to start Julia with appropriate amount of processes. Command line example:
```
julia -p 16 -L $HOME/hermiteGF/Julia/init.jl $HOME/hermiteGF/Julia/test_dependence_on_N.jl
```
We ask you to cite the following reference in scientific publica-
tions which contain results obtained with this software and developments:
*A. Yurova, K. Kormann
“Stable evaluation of Gaussian radial basis functions using Hermite polyno-
mials”*
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