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https://github.com/schmidtjonathan/pnmol-experiments

Probabilistic Numerical Method of Lines (PNMOL): Implementation and Experiments
https://github.com/schmidtjonathan/pnmol-experiments

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Probabilistic Numerical Method of Lines (PNMOL): Implementation and Experiments

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# Probabilistic Numerical Method of Lines (PNMOL)

This code accompanies the paper _"Probabilistic Numerical Method of Lines for Time-Dependent Partial Differential Equations"_, which is published at the AISTATS 2022 conference and currently available [:link: here](https://arxiv.org/pdf/2110.11847.pdf) ([https://arxiv.org/pdf/2110.11847.pdf](https://arxiv.org/pdf/2110.11847.pdf)).

# :memo: Cite as

```
@article{kramer2022probabilistic,
title={Probabilistic Numerical Method of Lines for Time-Dependent Partial Differential Equations},
author={Kr{\"a}mer, Nicholas and Schmidt, Jonathan and Hennig, Philipp},
journal={AISTATS},
year={2022}
}
```

# :runner: Run Experiments

## :gear: 1. Install
In the root-directory, execute
```
pip3 install -e .
```

## :rocket: 2. Run and plot experiments
:warning: It is easiest if you run everything from the root directory. I.e., instead of navigating to the `experiments` directory, run

```
python3 experiments/figureX.py
```

where you just replace `X` by one of {`1`, `2`, `3`, `4`}.