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.

Cite this as

Baumstark, Julian (2023). Dataset: Numerical experiments to "high-frequency wave-propagation: error analysis for analytical and numerical approximations". https://doi.org/10.35097/1349

DOI retrieved: 2023

Additional Info

Field Value
Imported on August 4, 2023
Last update August 4, 2023
License CC BY-SA 4.0 Attribution-ShareAlike
Source https://doi.org/10.35097/1349
Author Baumstark, Julian
Source Creation 2023
Publishers
Karlsruhe Institute of Technology
Production Year 2022
Publication Year 2023
Subject Areas
Name: Mathematics