Alternate identifier:
(KITopen-DOI) 10.5445/IR/1000130367
Related identifier:
-
Creator/Author:
Dörich, Benjamin https://orcid.org/0000-0001-5840-2270 [Dörich, Benjamin]
Contributors:
(Other)
Buchholz, Simone [Buchholz, Simone]

(Other)
Hochbruck, Marlis [Hochbruck, Marlis]
Title:
Numerical experiments to "On averaged exponential integrators for semilinear wave equations with solutions of low-regularity"
Additional titles:
-
Description:
(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 "On averaged exponential integrators for semilinear wave equations with solutions of low-regularity" by S. Buchholz, B. Dörich, and M. Hochbruck.
(Technical Remarks) 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.
Keywords:
highly oscillatory problems
error bounds
order-reduction
time-integration
second-order evolution equations
filter functions
summation-by-parts formula
Related information:
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Language:
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Subject areas:
Mathematics
Resource type:
Dataset
Data source:
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2023-06-21
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