2026-10-12T07:07:52Zhttps://www.radar-service.eu/oai/OAIHandler

10.35097/12872026-10-09T10:59:20Zradar4kit

https://dx.doi.org/10.35097/1287 Dörich, Benjamin Numerical experiments to "On averaged exponential integrators for semilinear wave equations with solutions of low-regularity" Karlsruhe Institute of Technology 2023 Mathematics dataset Dataset info:eu-repo/semantics/openAccess https://creativecommons.org/licenses/by-nc-sa/4.0/legalcode Buchholz, Simone 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 "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. highly oscillatory problems error bounds order-reduction time-integration second-order evolution equations filter functions summation-by-parts formula Buchholz, Simone Hochbruck, Marlis 10.5445/IR/1000130367 KITopen-DOI application/x-tar