Alternativer Identifier:
(KITopen-DOI) 10.5445/IR/1000130189
Verwandter Identifier:
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Ersteller/in:
Dörich, Benjamin https://orcid.org/0000-0001-5840-2270 [Dörich, Benjamin]
Beitragende:
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Titel:
Numerical experiments to "Error Analysis of Exponential Integrators for Nonlinear Wave-Type Equations"
Weitere Titel:
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Beschreibung:
(Abstract) This code has been used for the numerical experiments in the thesis "Error Analysis of Exponential Integrators for Nonlinear Wave-Type Equations" by Benjamin Dörich, see https://www.doi.org/10.5445/IR/1000130187.
(Technical Remarks) ## Readme This program is intended to reproduce the results from the thesis "Error Analysis of Exponential Integrators for Nonlinear Wave-Type Equations" by Benjamin Dörich #### 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 (quasilinear only:) - 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 (quasilinear only:) - dolfin - 2019.2.0.dev0 - fenics - 2019.2.0.dev0 #### Figure 4.2 In the folder "semilinear_low_reg/Fig_convergence" open a console and run the following commands after each other. 1) Run "python3 run_diss_Strang_N_2pw09.py" 2) Run "python3 run_diss_Strang_N_2pw10.py" 3) Run "python3 run_diss_Strang_N_2pw11.py" After running the calculations, the errors can be found in the folder "results" as tikz-files. #### Figure 4.3 In the folder "semilinear_low_reg/Fig_inner_filter" open a console and run the following commands after each other. 1) Run "python3 run_diss_Strang_N_2pw09.py" 2) Run "python3 run_diss_Strang_N_2pw10.py" 3) Run "python3 run_diss_Strang_N_2pw11.py" After running the calculations, the errors can be found in the folder "results" as tikz-files. #### Figure 7.1 In the folder "quasilinear_expo" open a console and run the following commands after each other. 1) Run "python3 1_generate_initial_matrices.py" 2) Run "python3 2_diss_run_reference_solution.py" 3) Run "python3 3_diss_run_Euler_X.py" 4) Run "python3 4_diss_run_Euler_Y.py" 5) Run "python3 5_diss_run_midpoint.py" After running the calculations, the errors can be found in the folder "quasilinear_expo/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.
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Mathematics
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2023-06-21
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