Graphene is a layer of covalently bonded carbon atoms with a honeycomb lattice structure. It has exceptional properties, due to which it became prominent in a wide range [...]

In this dissertation, we consider the approximation of unknown or intractable integrals using quadrature, especially when the evaluation of these integrals is considered [...]

We introduce an efficient and accurate boundary element method for computing the electrostatic potential in closely-packed dielectric spheres and Janus particles. Close [...]

This thesis advances our understanding of quantum phases and their interplay with particle trajectories in closed and open Bohmian systems, employing the innovative Quant[...]

COVID-19 is an ongoing infectious disease where individuals progress through the following four stages: susceptible (S), exposed (E), infected (I), and recovered (R). The[...]

This research has worked to develop a general computer implementation for symplectic algorithms applied to the N-body problem. A program was written to evolve an arbitra[...]

Research on COVID-19 was done for North Carolina to assess local governmental policies, to measure COVID-19 growth rate, and to discover what predictors impact COVID-19 s[...]

Computational materials science plays a crucial role in advancing new and improved materials. To leverage the advantages of local and nonlocal methods and aid in the adva[...]

Image files contain large amounts of data. An image is essentially a matrix of values, often represented as RGBA (red, green, blue, alpha) arrays. A large three dimension[...]