Metadata-Version: 2.1
Name: MonotoneScheme
Version: 0.0.14
Summary: Python wrapper for C++ codes for the monotone scheme for curvature motion PDEs
Home-page: https://github.com/wonjunee/monotone-scheme
Author: Wonjun Lee
Author-email: wlee@ucla.edu
License: UNKNOWN
Description: # Monotone schemes for solving curvature motion PDEs
        
        ## by Jeff Calder (UMN)  and Wonjun Lee (UMN)
        
        - Paper: [arXiv](.)
        - Jeff Calder: [website](https://www-users.cse.umn.edu/~jwcalder/)
        - Wonjun Lee: [website](https://wonjunee.github.io)
        
        ---
        # Outline
        This repository contains c++ and python codes for running the monotone algorithm to solve curvature motion PDEs. Here are list of PDEs that can be solved using this algorithm.
        
        ### Eikonal equation
        $$ |\nabla u(x)| = f(x), \quad x \in \Omega $$
        $$ x = 0, \quad x \in \partial \Omega $$
        
        ### Mean curvature PDE
        $$ |\nabla u(x)|\kappa(x) = f(x), \quad x \in \Omega $$
        $$ x = 0, \quad x \in \partial \Omega $$
        where $\kappa(x) = - \text{div}\left( \frac{\nabla u}{|\nabla u|} \right)$ is the mean curvature of the level set surface of $u$ passing through $x$.
        
        ### Tukey Depth
        $$ |\nabla u(x)| = \int_{(y-x)\cdot \nabla u(x) = 0} \rho(y) dS(y), \quad x \in \Omega.$$
        
        
        
        ---
        # Tutorial
        
        ## Prerequisites
        
        - `pip`
        - `python >= 3.6`
        
        Follow this link to see the instruction for the installation of `pip`: [https://pip.pypa.io/en/stable/installation/](https://pip.pypa.io/en/stable/installation/).
        
        
        ## Installing the package
        
        First install the package by running the following command:
        ```
            pip install MonotoneScheme
        ```
        
        (TO BE CONTINUED)
Platform: UNKNOWN
Classifier: Programming Language :: Python :: 3
Classifier: License :: OSI Approved :: MIT License
Classifier: Operating System :: OS Independent
Requires-Python: >=3.6
Description-Content-Type: text/markdown
