# Redefining Neural Operators in $d+1$ Dimensions

Please check the file 'E_Supplementary.pdf' to get the relevant details about the Appendix E in our paper.

Here is a simple guideline of how to use our model in different cases:

## Running Environments

- GPU: NVIDIA GeForce RTX 4090 * 1

- Software: Ubuntu 20.04.1 + Python 3.10.13 + cuda 11.8 (in Miniconda)

Please firstly create a virtual env by command 'conda create -n (your_env_name) python=3.10' and install the relevant lib by command 'pip' in your created conda env:

```
pip install -r requirements.txt
```

## Running

For example, if you would like to train a SKNO model for 1D Burgers Equation, you could follow these commands:

```
cd /.../SKNO_NeurIPS/1D_Burgers/data
vi ./README.md
% Download the data
cd ..
python SKNO_1d.py
```

Similar processes for other experiments.

## Others

For 2D Shallow-Water and 3D NS, follow the similar 2D and 3D implementations. Complete configurations can be found in our paper.