Numerical experiments to "On averaged exponential integrators for semilinear wave equations with solutions of low-regularity"

This code was used for the numerical experiments in the preprint (CRC Preprint 2021/12; URL: https://www.waves.kit.edu/downloads/CRC1173_Preprint_2021-12.pdf) and in the paper "On averaged exponential integrators for semilinear wave equations with solutions of low-regularity" by S. Buchholz, B. Dörich, and M. Hochbruck.

This code was used for the numerical experiments in the preprint (CRC Preprint 2021/12; URL: https://www.waves.kit.edu/downloads/CRC1173_Preprint_2021-12.pdf) and in the paper "On averaged exponential integrators for semilinear wave equations with solutions of low-regularity" by S. Buchholz, B. Dörich, and M. Hochbruck.

This program is intended to reproduce the results from the paper 

"On averaged exponential integrators for semilinear wave equations with solutions of low-regularity. "
by S. Buchholz, B. Dörich, and M. Hochbruck. 

The codes generates Figure 2.

#### Requirements

The program is tested with 

1) Ubuntu 16.04.7 LTS and Python 3.7.6 and the following version of its modules:
- numpy           -   1.15.4
- scipy           -   1.4.1
- matplotlib      -   3.2.1
- tikzplotlib     -   0.9.6

2) Ubuntu 18.04.5 LTS and Python 3.6.9 and the following version of its modules:

- numpy           -   1.19.2
- scipy           -   1.5.1
- matplotlib      -   3.3.2
- tikzplotlib     -   0.9.4

#### Figure 2

In this folder open a console and run the following commands after each other.

1) Run "python3 run_paper_Strang_N_2pw09.py"
2) Run "python3 run_paper_Strang_N_2pw10.py"
3) Run "python3 run_paper_Strang_N_2pw11.py"

After running the calculations, the errors can be found in the folder "results" as tikz-files.

This program is intended to reproduce the results from the paper 
"On averaged exponential integrators for semilinear wave equations with solutions of low-regularity. "
by S. Buchholz, B. Dörich, and M. Hochbruck. 
The codes generates Figure 2.
Requirements
The program is tested with 
1) Ubuntu 16.04.7 LTS and Python 3.7.6 and the following version of its modules:

numpy           -   1.15.4
scipy           -   1.4.1
matplotlib      -   3.2.1
tikzplotlib     -   0.9.6

2) Ubuntu 18.04.5 LTS and Python 3.6.9 and the following version of its modules:

numpy           -   1.19.2
scipy           -   1.5.1
matplotlib      -   3.3.2
tikzplotlib     -   0.9.4

Figure 2
In this folder open a console and run the following commands after each other.
1) Run "python3 run_paper_Strang_N_2pw09.py"
2) Run "python3 run_paper_Strang_N_2pw10.py"
3) Run "python3 run_paper_Strang_N_2pw11.py"
After running the calculations, the errors can be found in the folder "results" as tikz-files.