dissertation
My MMSC dissertation on general kernel spectral methods for equilibrium measures
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My MMSC dissertation on general kernel spectral methods for equilibrium measures
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- Host: GitHub
- Owner: MrP01
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README.md
Spectral Methods for Equilibrium Measures
My MMSC dissertation on general kernel spectral methods for equilibrium measures.
The document itself can be found here!
Attractive-repulsive equilibrium measure problems appear in the modeling of the continuous limit of pair-interacting particle systems, e.g. models of animal swarms or classical physical particulates. From a computing point of view they are a combination of integral equation and minimization problem the aim is to find a density u(x) for a given kernel K such that the following energy is minimized.
The project would leverage kernel expansions to construct a general equilibrium measure method on the unit interval [1, 1]. The d-dimensional unit ball generalization is then expected to be straightforward and can be considered as a stretch goal. Comparisons should be made with the corresponding attractive-repulsive finite particle swarm problems.
Owner
- Name: Peter Waldert
- Login: MrP01
- Kind: user
- Location: Graz, Austria
- Company: Institute of Health Care Engineering with European Testing Center of Medical Devices, TU Graz
- Website: https://www.latin-is-simple.com/
- Repositories: 40
- Profile: https://github.com/MrP01
BioTechMed-Graz Lab Rotation Research Fellow in Cancer Cell Modelling, graduate of Physics + Computer Engineering @ TU Graz and Maths @ Oxford.
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