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Browsing by Author "Lin, Junshan"

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Analysis and Optimal control of deterministic Vector-Borne diseases model 

Son, Hyunjin (2018-07-18)
In this dissertation, two systems of deterministic differential equations are introduced to study the transmission of vector-borne diseases between a host and a vector. The total population of the host and the vector are ...

Computational Design of Random Rough Surfaces in Thin-film Solar Cells by Stochastic Gradient Methods 

Li, Qiang (2021-07-21)  ETD File Embargoed
We present an efficient numerical algorithm to solve for the optimal random structure in maximizing the absorptance for thin-film solar cells. Random rough texture can increase the absorbing efficiency of solar cells by ...

Convergence Analysis and Numerical Simulation of Particle Swarm Optimization 

Weerasinghe, Kariyawasam Ganesha (2017-04-21)
Nature, including mankind, loves to optimize and the world is far from being deterministic. Thus, stochastic optimization is an important and active area of research in applied mathematics. Inspired by the social behavior ...

Global existence, persistence, spreading speeds, and forced waves in chemotaxis models 

Xue, Shuwen (2021-07-29)
Chemotaxis models are widely used to describe the movements of biological species or living organisms in response to certain chemicals in their environments. This dissertation is devoted to the study of various dynamical ...

Interior Backus Problem with Expanded Data 

Zheng, Yuxiang (2019-12-09)
We consider a special formulation of the Backus geomagnetic problem in two and higher dimension. Given a domain $\Omega \subset \mathbb{R}^n$, we seek to determine whether there exists a unique harmonic function $u$ ...

Numerical Modeling of Electromagnetic Wave Scattering by Layered Random Surfaces 

Ulmer, Kelsey (2020-12-01)
We present an efficient numerical method for modeling the scattering of electromagnetic fields by a multiply layered medium with random interfaces. We propose a combination of the Monte Carlo-Transformed Field Expansion ...

Scattering Resonances for Three-dimensional Subwavelength Holes 

Fatima, Maryam (2021-07-19)
This thesis aims to investigate scattering resonances and the field amplification at resonant frequencies for two different subwavelength structures: The first structure is a cavity with a closed bottom and width $\varepsilon$ ...