<commit_before><div id="table-of-contents">
<h2>Table of Contents</h2>
<div id="text-table-of-contents">
<ul>
<li><a href="#sec-1">1. HDPG1D</a></li>
<li><a href="#sec-2">2. Install</a></li>
<li><a href="#sec-3">3. Usage</a></li>
</ul>
</div>
</div>

# HDPG1D<a id="sec-1" name="sec-1"></a>

This is a python package that solves 1-Dimensional PDEs using hybridizable discontinuous Petrov-Galerkin discretization, a novel FEA discretization that ensures the best solution quality without extra stablization mechanism.

[Solution of Burger's equation using HDPG.](file:///home/nico/ownCloud/2016%20Fall%20Lab%20Work/HDPG/HDPG1d/HDPGburgers30.pdf)

# Install<a id="sec-2" name="sec-2"></a>
In terminal: 
```bash
pip install hdpg1d
```

# Usage<a id="sec-3" name="sec-3"></a>
In terminal, call:
```bash
PGsolve
```<commit_msg>Add image.<commit_after><div id="table-of-contents">
<h2>Table of Contents</h2>
<div id="text-table-of-contents">
<ul>
<li><a href="#sec-1">1. HDPG1D</a></li>
<li><a href="#sec-2">2. Install</a></li>
<li><a href="#sec-3">3. Usage</a></li>
</ul>
</div>
</div>

# HDPG1D<a id="sec-1" name="sec-1"></a>

This is a python package that solves 1-Dimensional PDEs using hybridizable discontinuous Petrov-Galerkin discretization, a novel FEA discretization that ensures the best solution quality without extra stablization mechanism.

[Solution of Burger's equation using HDPG.](https://nicobili.ddns.net/owncloud/index.php/s/8hbfsDU3dmdzOXH)

# Install<a id="sec-2" name="sec-2"></a>
In terminal: 
```bash
pip install hdpg1d
```

# Usage<a id="sec-3" name="sec-3"></a>
In terminal, call:
```bash
PGsolve
```
{'fraction_non_alphanumeric': 0.19913686806411837, 'fraction_numerical': 0.031442663378545004, 'mean_word_length': 5.290697674418604, 'pattern_counts': {'":': 0, '<': 55, '<?xml version=': 0, '>': 55, 'https://': 1, 'lorem ipsum': 0, 'www.': 0, 'xml': 0}, 'pii_count': 0, 'substrings_counts': 0, 'word_list_counts': {'cursed_substrings.json': 0, 'profanity_word_list.json': 0, 'sexual_word_list.json': 0, 'zh_pornsignals.json': 0}}
{'dir': 'git-commits-cleaned', 'id': '994740', 'n_tokens_mistral': 675, 'n_tokens_neox': 628, 'n_words': 149}