Skip to main content

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 for recursive_nodes().
  • The lebesgue submodules requires scipy.
  • Testing requires coverage, pytest and matplotlib.
  • Building documentation additionally requires sphinx, sphinxcontrib-bibtex, and sphinxcontrib-tikz.

Metadata

Release files for recursivenodes 0.2.0

For a detailed explanation of source distributions (sdists) and built distributions (wheels), please see the package formats documentation.

Source distribution (sdist)

Source distribution for recursivenodes 0.2.0
File Size Uploaded
recursivenodes-0.2.0.tar.gz 41.1 kB Details

Built distribution (wheel)

Table of built distributions (wheels) for recursivenodes 0.2.0
File Interpreter ABI Platform
recursivenodes-0.2.0-py3-none-any.whl Python 3 none any Details

Total release size: 84.1 kB

Release files / recursivenodes-0.2.0.tar.gz

Download URL recursivenodes-0.2.0.tar.gz
Size 41.1 kB
Tags Source
SHA-256 checksum
How to use checksums
306319eccd818fa239e2dcc60bc8d520b1f594167367675b1481256f43861bc3
BLAKE2b-256 checksum
How to use checksums
5f7ed25bcff9964c03939c86b5b68d31c7aa3ac2c430a2cb75d65e21f00e3b11
Upload date
Uploaded using Trusted Publishing?
What is trusted publishing?
No
Uploaded via twine/3.2.0 pkginfo/1.5.0.1 requests/2.22.0 setuptools/49.3.1 requests-toolbelt/0.9.1 tqdm/4.41.1 CPython/3.8.0

Release files / recursivenodes-0.2.0-py3-none-any.whl

Download URL recursivenodes-0.2.0-py3-none-any.whl
Size 42.9 kB
Tags Python 3
SHA-256 checksum
How to use checksums
049b7f94ddd6b7c25abd023fdf1f7fe11ce6d3219a76b9b8ea88966ea4eeb0c5
BLAKE2b-256 checksum
How to use checksums
8bf34e447a2f531c88fc46e2c3bd1121f24bac3a84e519d0e241ffeac9c2a474
Upload date
Uploaded using Trusted Publishing?
What is trusted publishing?
No
Uploaded via twine/3.2.0 pkginfo/1.5.0.1 requests/2.22.0 setuptools/49.3.1 requests-toolbelt/0.9.1 tqdm/4.41.1 CPython/3.8.0

Release history Release notifications | RSS feed

This release

0.2.0 This release

2 release files

0.1.0

2 release files

Anthropic, PBC Visionary sponsor Bloomberg Visionary sponsor Hudson River Trading Visionary sponsor Meta Visionary sponsor NVIDIA Visionary sponsor Microsoft Sustainability sponsor Depot Continuous Integration AWS Cloud computing and Security Sponsor Datadog Monitoring Fastly CDN Google Download Analytics Sentry Error logging StatusPage Status page