SpectralMethods

Teaching materials for a course on spectral methods for numerical discretization

To clone the repository files, run the following command from the command line

git clone https://github.com/apengsigkarup

The recommended way to install the necessary code to work with and run the exercises is to install the environment using conda

conda create -n Spectral-env
conda activate Spectral-env
conda install -r environment.yaml

In the Exercises/ directory there are some notebooks that contains selected problems for Spectral Methods useful in Scientific Computing. In each exercise the task is to complete the code in all cells where '<DEFINE THIS>' is stated. The notebooks contains figures of results that was obtained in the complete solution and hence is the target to reproduce. Eeach notebook may also just contain examples that give a basis for your own exploration.

Running the notebooks on Google Colab

Make sure you have a Google account, since this give access to use Google Colab.

1. Go to the Google Colab website https://colab.research.google.com/notebooks/welcome.ipynb and login with your Google account (if you are not already logged in).
2. Then hit File->Open Notebook.
3. In the pop up window that opens, click on GitHub.
4. Write https://github.com/apengsigkarup/SpectralMethods/Exercises and hit enter.
5. Select the notebook you would like to open. For example, select the 01_Notebook_Fourier_Series_1D.ipynb.