This code was used for the numerical experiments in the revised preprint (CRC Preprint 2021/12; URL: https://www.waves.kit.edu/downloads/CRC1173_Preprint_2021-12.pdf) and in the paper "Exponential integrators for quasilinear wave-type equations" by B. Dörich and M. Hochbruck.

This program is intended to reproduce the results from the preprint

"Exponential integrators for quasilinear wave-type equations" by Benjamin Dörich and Marlis Hochbruck

The codes generates the lines in Figure 1

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

dolfin - 2018.1.0 fenics - 2018.1.0

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

dolfin - 2019.2.0.dev0 fenics - 2019.2.0.dev0

matplotlib - 3.3.2

tikzplotlib - 0.9.4

In the folder "DoeH21_quasilinear" open a console and run the following commands after each other.

1) Run "python3 1_generate_initial_matrices.py"

2) Run "python3 2_paper_run_reference_solution.py"

3) Run "python3 3_paper_run_Euler.py"

4) Run "python3 4_paper_run_midpoint.py"

After running the calculations, the errors can be found in the folder "preprint_DoeH21_quasilinear/extracted_data/". (a) settings_ contains the information of the config file (b) infos_ contains the computed errors (c) plot_* contains a tikz-file which gives the plot for the Euler and the midpoint rule separately.