Numerical experiments to "high-frequency wave-propagation: error analysis for analytical and numerical approximations"
Abstract: This code has been used for the numerical experiments in the thesis "High-frequency wave-propagation: error analysis for analytical and numerical approximations" by Julian Baumstark, see https://www.doi.org/10.5445/IR/1000149719.
TechnicalRemarks: The scripts are intended to reproduce the figures from the thesis
"High-frequency wave-propagation: error analysis for analytical and numerical approximations"
by Julian Baumstark
Requirements
The codes are tested on
Ubuntu 18.04 LTS
with
Matlab R2020a
Generation of figures
With this code Figures
3.1, 3.2, 4.1, 4.2, 4.3, 5.1, and 5.2
can be generated.
The calculation of the data for Figure 4.1, 4.2, 4.3, 5.1 and 5.2 takes a few days and requires a storage space of about 140 GB.
Figure 3.1 and 3.2
In order to obtain Figure 3.X (X=1 or 2) run the command
visualize_Fig3X.m
in Matlab.
Figure 4.1, 4.2 and 4.3
Open folder "Chapter_4" in Matlab.
In order to obtain Figure 4.X (X=1 or 2 or 3) first run the command
kleingordon_analytical_approx.m
to compute the data. Then, run
visualize_Fig4X.m
in Matlab.
Figure 5.1 and 5.2
Open folder "Chapter_5" in Matlab.
In order to obtain Figure 5.X (X=1 or 2) first run the command
kleingordon_numerical_approx.m
to compute the data. Then, run
visualize_Fig5X.m
in Matlab.
BibTex:
