modepy

Modes and nodes for high-order discretizations

Science Score: 77.0%

This score indicates how likely this project is to be science-related based on various indicators:

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CITATION.cff file
Found CITATION.cff file
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codemeta.json file
Found codemeta.json file
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.zenodo.json file
Found .zenodo.json file
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DOI references
Found 4 DOI reference(s) in README
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Academic publication links
Links to: zenodo.org
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Committers with academic emails
3 of 8 committers (37.5%) from academic institutions
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Scientific vocabulary similarity
Low similarity (12.5%) to scientific vocabulary

Keywords from Contributors

code-generation scan loop-optimization performance-analysis ispc code-transformation code-optimization reduction prefix-sum multidimensional-arrays

Last synced: 6 months ago · JSON representation ·

Repository

Modes and nodes for high-order discretizations

Basic Info

Host: GitHub
Owner: inducer
License: mit
Language: Python
Default Branch: main
Size: 2.44 MB

Statistics

Stars: 20
Watchers: 5
Forks: 7
Open Issues: 8
Releases: 2

Created almost 13 years ago · Last pushed 6 months ago

Metadata Files

Readme License Citation

README.rst

modepy: Basis Functions, Node Sets, Quadratures
===============================================

.. image:: https://gitlab.tiker.net/inducer/modepy/badges/main/pipeline.svg
    :alt: Gitlab Build Status
    :target: https://gitlab.tiker.net/inducer/modepy/commits/main
.. image:: https://github.com/inducer/modepy/actions/workflows/ci.yml/badge.svg
    :alt: Github Build Status
    :target: https://github.com/inducer/modepy/actions/workflows/ci.yml
.. image:: https://badge.fury.io/py/modepy.svg
    :alt: Python Package Index Release Page
    :target: https://pypi.org/project/modepy/
.. image:: https://zenodo.org/badge/9846038.svg
    :alt: Zenodo DOI for latest release
    :target: https://zenodo.org/doi/10.5281/zenodo.11105051

``modepy`` helps you create well-behaved high-order discretizations on
simplices (i.e. segments, triangles and tetrahedra) and tensor products of
simplices (i.e. squares, cubes, prisms, etc.). These are a key building block
for high-order unstructured discretizations, as often used in a finite
element context. Features include:

- Support for simplex and tensor product elements in any dimension.
- Orthogonal bases:
    - Jacobi polynomials with derivatives
    - Orthogonal polynomials for simplices up to 3D and tensor product elements
      and their derivatives.
    - All bases permit symbolic evaluation, for code generation.
- Access to numerous quadrature rules:
    - Jacobi-Gauss, Jacobi-Gauss-Lobatto in 1D
      (includes Legendre, Chebyshev, ultraspherical, Gegenbauer)
    - Clenshaw-Curtis and Fejér in 1D
    - Grundmann-Möller on the simplex
    - Xiao-Gimbutas on the simplex
    - Vioreanu-Rokhlin on the simplex
    - Jaśkowiec-Sukumar on the tetrahedron
    - Witherden-Vincent on the hypercube
    - Generic tensor products built on the above, e.g. for prisms and hypercubes
- Tools to construct new quadrature rules:
    - A basic iterative Gauss-Newton process to optimize/tighten rules
    - Vioreanu-Rokhlin node initial generation based on multiplication operators
- Matrices for FEM, usable across all element types:
    - generalized Vandermonde,
    - mass matrices (including lumped diagonal),
    - face mass matrices,
    - differentiation matrices, and
    - resampling matrices.
- Objects to represent 'element shape' and 'function space',
  generic node/mode/quadrature retrieval based on them.

Its roots closely followed the approach taken in the book

    J. S. Hesthaven and T. Warburton (2007).
    *Nodal Discontinuous Galerkin Methods: Algorithms, Analysis, and Applications*
    (1st ed.).
    `doi:10.1007/978-0-387-72067-8 `__.
    `(source code) `__

but much has been added beyond that basic functionality.

Resources:

* `Documentation `__.
* `Source code `__.
* `Bug tracker `__.
* `PyPI `__.

Owner

Name: Andreas Klöckner
Login: inducer
Kind: user
Location: Champaign, IL
Company: Scientific Computing, CS@UIUC

Website: http://andreask.cs.illinois.edu/aboutme
Repositories: 225
Profile: https://github.com/inducer

JOSS Publication

modepy: Basis Functions, Interpolation, and Quadrature (not just) for Finite Elements

Published

January 27, 2026

DOI

10.21105/joss.09294

Volume 11, Issue 117, Page 9294

Authors

Andreas Kloeckner

Siebel School of Computing and Data Science, University of Illinois at Urbana-Champaign, US

Alexandru Fikl

Institute for Advanced Environmental Research (ICAM), West University of Timişoara, Romania

Xiaoyu Wei

Pathlit, US

Thomas Gibson

Advanced Micro Devices Inc., US

Addison Alvey-Blanco
Siebel School of Computing and Data Science, University of Illinois at Urbana-Champaign, US

Editor

Nikoleta Glynatsi

Citation (CITATION.cff)

cff-version: 1.2.0
message: "If you use this software, please cite it as below."
authors:
- family-names: "Kloeckner"
  given-names: "Andreas"
  orcid: "https://orcid.org/0000-0003-1228-519X"
- family-names: "Fikl"
  given-names: "Alex"
- family-names: "Wei"
  given-names: "Xiaoyu"
- family-names: "Gibson"
  given-names: "Thomas"
- family-names: "Alvey-Blanco"
  given-names: "Addison"
- family-names: "Wala"
  given-names: "Matt"

title: "modepy"
version: 2024.1
doi: 10.5281/zenodo.11105052
date-released: 2024-05-02
url: "https://github.com/inducer/modepy"
license: MIT

GitHub Events

Total

Create event: 11
Release event: 1
Issues event: 5
Watch event: 4
Delete event: 13
Issue comment event: 38
Push event: 62
Pull request review event: 64
Pull request review comment event: 78
Pull request event: 51

Last Year

Create event: 11
Release event: 1
Issues event: 5
Watch event: 4
Delete event: 13
Issue comment event: 38
Push event: 62
Pull request review event: 64
Pull request review comment event: 78
Pull request event: 51

Committers

Last synced: over 2 years ago

All Time

Total Commits: 375
Total Committers: 8
Avg Commits per committer: 46.875
Development Distribution Score (DDS): 0.36

Past Year

Commits: 15
Committers: 4
Avg Commits per committer: 3.75
Development Distribution Score (DDS): 0.333

Top Committers

Name	Email	Commits
Andreas Kloeckner	i**m@t**t	240
Alexandru Fikl	a**l@g**m	94
xywei	w**6@g**m	26
Thomas Gibson	g**0@h**m	9
Matt Wala	w**1@i**u	3
Xiaoyu Wei	x**i@i**u	1
Addison A	7****c	1
Addison Alvey-Blanco	a**3@i**u	1

Committer Domains (Top 20 + Academic)

illinois.edu: 3 tiker.net: 1

Issues and Pull Requests

Last synced: 6 months ago

All Time

Total issues: 12
Total pull requests: 163
Average time to close issues: 3 months
Average time to close pull requests: 4 days
Total issue authors: 6
Total pull request authors: 6
Average comments per issue: 2.17
Average comments per pull request: 0.99
Merged pull requests: 145
Bot issues: 0
Bot pull requests: 5

Past Year

Issues: 3
Pull requests: 58
Average time to close issues: N/A
Average time to close pull requests: 3 days
Issue authors: 2
Pull request authors: 4
Average comments per issue: 0.0
Average comments per pull request: 0.71
Merged pull requests: 46
Bot issues: 0
Bot pull requests: 1

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Top Authors

Issue Authors

inducer (6)
thomasgibson (2)
matthiasdiener (1)
nschloe (1)
alexfikl (1)
andrewcorrigan (1)

Pull Request Authors

inducer (80)
alexfikl (64)
a-alveyblanc (9)
dependabot[bot] (5)
thomasgibson (3)
mattwala (2)

Top Labels

Issue Labels

enhancement (1) question (1)

Pull Request Labels

dependencies (5) shelved (1) github_actions (1)

Packages

Total packages: 2
Total downloads:
- pypi 1,678 last-month

Total dependent packages: 0
(may contain duplicates)
Total dependent repositories: 16
(may contain duplicates)
Total versions: 12
Total maintainers: 1

pypi.org: modepy

Modes and nodes for high-order methods

Homepage: https://mathema.tician.de/software/modepy
Documentation: https://documen.tician.de/modepy
License: MIT
Latest release: 2016.1.2
published over 9 years ago

Versions: 10
Dependent Packages: 0
Dependent Repositories: 16
Downloads: 1,678 Last month

Rankings

Dependent repos count: 3.6%

Average: 9.4%

Dependent packages count: 10.1%

Downloads: 14.4%

Maintainers (1)

inducer77

Last synced: 6 months ago

conda-forge.org: modepy

Homepage: http://pypi.python.org/pypi/modepy
License: MIT
Latest release: 2016.1.2
published over 3 years ago

Versions: 2
Dependent Packages: 0
Dependent Repositories: 0

Rankings

Dependent repos count: 34.0%

Forks count: 44.7%

Average: 45.0%

Stargazers count: 50.2%

Dependent packages count: 51.2%

Last synced: 6 months ago

Dependencies

requirements.txt pypi

numpy *
pymbolic *

setup.py pypi

dataclasses *
numpy *
pymbolic *
pytest >=2.3
pytools >=2013.1
typing_extensions *

.github/workflows/autopush.yml actions

actions/checkout v3 composite

.github/workflows/ci.yml actions

actions/checkout v3 composite
actions/setup-python v4 composite

modepy

Science Score: 77.0%

Keywords from Contributors

Repository

Basic Info

Statistics

Metadata Files

README.rst

Owner

JOSS Publication

modepy: Basis Functions, Interpolation, and Quadrature (not just) for Finite Elements

Authors

Editor

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Citation (CITATION.cff)

GitHub Events

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Packages

pypi.org: modepy

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conda-forge.org: modepy

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