Numerical experiments to "High-frequency wave-propagation: error analysis for analytical and numerical approximations"

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

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Requirements

The codes are tested on

Ubuntu 18.04 LTS

with

Matlab R2020a 

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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.