A multi-dimensional adaptive sampling algorithm and its application to Fermi surfaces

Bachelor Thesis (2019)
Author(s)

J.R. Hoofwijk (TU Delft - Applied Sciences)

Contributor(s)

AR Akhmerov – Mentor (TU Delft - QN/Akhmerov Group)

D den Ouden-van der Horst – Mentor (TU Delft - Numerical Analysis)

Faculty
Electrical Engineering, Mathematics and Computer Science
Copyright
© 2019 Jorn Hoofwijk
More Info
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Publication Year
2019
Language
English
Copyright
© 2019 Jorn Hoofwijk
Graduation Date
03-07-2019
Awarding Institution
Delft University of Technology
Programme
Applied Mathematics | Applied Physics
Related content

The Github repository where one may find the source code of which my thesis is a part

https://github.com/python-adaptive/adaptive
Faculty
Electrical Engineering, Mathematics and Computer Science
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Abstract

The aim of this research is to develop an N -dimensional adaptive sampling algorithm to efficiently sample functions, meaning that with fewer samples the same accuracy is achieved compared to what homogeneously spaced samples would achieve. This algorithm is based on an existing Python package called Adaptive. The developed algorithm is applied to find and plot the Fermi surface of crystals with a higher resolution than homogeneous sampling would with the same number of points.

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