You're currently viewing an old version of this dataset. To see the current version, click here.

Numerical experiments to "exponential integrators for quasilinear wave-type equations"

Abstract: 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 "Exponential integrators for quasilinear wave-type equations" by B. Dörich and M. Hochbruck. TechnicalRemarks: 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

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 - dolfin - 2018.1.0 - fenics - 2018.1.0

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
  • dolfin - 2019.2.0.dev0
  • fenics - 2019.2.0.dev0
Figure 1

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 "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.

Cite this as

Dörich, Benjamin (2023). Dataset: Numerical experiments to "exponential integrators for quasilinear wave-type equations". https://doi.org/10.35097/1563

DOI retrieved: 2023

Additional Info

Field Value
Imported on August 4, 2023
Last update August 4, 2023
License CC BY-NC-SA 4.0 Attribution-NonCommercial-ShareAlike
Source https://doi.org/10.35097/1563
Author Dörich, Benjamin
Source Creation 2023
Publishers
Karlsruhe Institute of Technology
Production Year 2021
Publication Year 2023
Subject Areas
Name: Mathematics