Numerical experiments to "Exponential integrators for quasilinear wave-type equations" (updated version)

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

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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

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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"

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After running the calculations, the errors can be found in
the folder "preprint_DoeH21_quasilinear/extracteddata/".
(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.