Sobolev Orthogonal Polynomials on the Sierpinski Gasket

This repository primarily contains python code used to construct, analyze, and visualize Sobolev Orthogonal Polynomials on the Sierpinski Gasket. This code is largely used in our SPUR project https://e.math.cornell.edu/sites/op_on_sg/. Documentation for this code can be found at https://e.math.cornell.edu/sites/op_on_sg/html/docs/_build/html/index.html.

Getting Started

These instructions will get you a copy of the project up and running on your local machine for development and testing purposes.

Prerequisites

The following python libraries (in addition to the standard library) are required to use this package:

• numpy
• scipy
• sympy
• gmpy2
• tqdm

Usage

The ops_main.py file contains the code used to generate the orthogonal polynomials. The monomials.py file and plotting.py file can be used to plot the polynomials on SG.

Authors

• Sreeram Venkat - s769
• Max Jiang - mathreader
• Shashank Sule - ShashankSule

See also the list of contributors who participated in this project.

Acknowledgments

• http://www.math.cornell.edu/~mhall/
• http://pi.math.cornell.edu/~ektuley