2026-10-14T09:13:05Zhttps://www.radar-service.eu/oai/OAIHandler

10.35097/15632026-10-09T10:59:12Zradar4kit

https://dx.doi.org/10.35097/1563 Dörich, Benjamin Numerical experiments to "Exponential integrators for quasilinear wave-type equations" Karlsruhe Institute of Technology 2023 Mathematics dataset Dataset info:eu-repo/semantics/openAccess https://creativecommons.org/licenses/by-nc-sa/4.0/legalcode Hochbruck, Marlis 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. 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. error analysis time integration quasilinear evolution equations a-priori error bounds wave equation Maxwell's equations Hochbruck, Marlis 10.5445/IR/1000131109 KITopen-DOI application/x-tar