https://github.com/ranocha/polynomialbases.jl

Polynomial bases for spectral element methods.
https://github.com/ranocha/polynomialbases.jl

hacktoberfest polynomial-bases spectral-methods

Last synced: about 1 year ago
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Polynomial bases for spectral element methods.

• Host: GitHub
• URL: https://github.com/ranocha/polynomialbases.jl
• Owner: ranocha
• License: other
• Created: 2017-09-07T16:12:54.000Z (almost 9 years ago)
• Default Branch: main
• Last Pushed: 2025-03-01T16:00:07.000Z (over 1 year ago)
• Last Synced: 2025-03-27T20:19:55.721Z (about 1 year ago)
• Topics: hacktoberfest, polynomial-bases, spectral-methods
• Language: Julia
• Homepage:
• Size: 253 KB
• Stars: 12
• Watchers: 2
• Forks: 1
• Open Issues: 3
• Metadata Files:
  • Readme: README.md
  • License: LICENSE.md

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README

          
# PolynomialBases

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[![License: MIT](https://img.shields.io/badge/License-MIT-success.svg)](https://opensource.org/licenses/MIT)

A library of functions for polynomial bases used in spectral element methods using the quadrature rules from

[FastGaussQuadrature.jl](https://github.com/ajt60gaibb/FastGaussQuadrature.jl) for `Float64` and root finding

via the Newton algorithm for other scalar types (such as `BigFloat`). The algorithms for interpolation and

differentiation use barycentric weights as described in the book "Implementing Spectral Methods for PDEs"

by David Kopriva. If [SymPy.jl](https://github.com/JuliaPy/SymPy.jl)/[SymEngine.jl](https://github.com/symengine/symengine)

is loaded, symbolic computations using `SymPy.Sym`/`SymEngine.Basic` are supported.

A brief tutorial is given as

[notebook](http://nbviewer.ipython.org/github/ranocha/PolynomialBases.jl/blob/main/notebooks/Tutorial.ipynb).