Recursively defined interpolation nodes for the simplex
Project description
recursivenodes
: Recursive, parameter-free, explicitly defined interpolation nodes for simplices
This package includes one module level function, recursive_nodes()
, which returns
nodes for polynomial interpolation on the simplex in arbitrary dimensions.
The nodes have a few nice properties: they are explicitly constructed and fully symmetric, and their traces on edges are Lobatto-Gauss-Legendre nodes (or any other node set you wish to use). Among explicitly constructed nodes, they appear to have the best interpolation properties. You can find more details in the documentation, and even more in the preprint.
@misc{isaac2020recursive,
title={Recursive, parameter-free, explicitly defined interpolation nodes for simplices},
author={Tobin Isaac},
year={2020},
eprint={2002.09421},
archivePrefix={arXiv},
primaryClass={math.NA}
}
Requirements:
- Only
numpy
is needed forrecursive_nodes()
. - The
lebesgue
submodules requiresscipy
. - Testing requires
coverage
,pytest
andmatplotlib
. - Building documentation additionally requires
sphinx
,sphinxcontrib-bibtex
, andsphinxcontrib-tikz
.
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