https://github.com/fgittins/tricubicinterpolations.jl
Science Score: 13.0%
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Repository
Basic Info
- Host: GitHub
- Owner: fgittins
- Language: Julia
- Default Branch: main
- Size: 23.4 KB
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Metadata Files
README.md
TricubicInterpolations.jl
Julia implementation of a tricubic interpolator in three dimensions. The scheme is based on Lekien and Marsden (2005), "Tricubic interpolation in three dimensions," Int. J. Numer. Meth. Eng. 63, 455.
Usage
TricubicInterpolations.jl is written using pure Julia and has no additional dependencies.
Here is a simple example to get you started. We start with
using TricubicInterpolations
We will consider the following function:
$$f(x, y, z) = - x^3 + x + y^2 - z.$$
The interpolator object Tricubic accepts four inputs (X, Y, Z, F), which are the samples of the three independent variables $(x, y, z)$ and the one dependent variable $f$. These can be generated for our function as
```
f(x, y, z) = - x^3 + x + y^2 - z
X = Y = Z = LinRange(-1, 1, 21)
F = [f(x, y, z) for x=X, y=Y, z=Z]
Then the interpolator is initialised as
t = Tricubic(X, Y, Z, F)
The interpolator can be called at a point, say $(0.5, -0.1, 0.3)$, for an estimate of the function
t(0.5, -0.1, 0.3)
and its derivatives
partialderivativex(t, 0.5, -0.1, 0.3)
partialderivativey(t, 0.5, -0.1, 0.3)
partialderivativez(t, 0.5, -0.1, 0.3)
```
Owner
- Name: Fabian Gittins
- Login: fgittins
- Kind: user
- Location: Southampton
- Company: University of Southampton
- Repositories: 1
- Profile: https://github.com/fgittins
Research fellow at the STAG Research Centre, University of Southampton. Currently spinning a lot of neutron stars.
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