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Improving Parameter Estimation for Integral Projection Models in Fluctuating Environments
(2020-07-21)
The matrix projection model (MPM) is one of the mainstream approaches for population
and environmental dynamics in biological and ecological sciences. MPM is very popular in
modern biological sciences mainly due to its ...
Leverage Sampling for Single-Index Models
(2021-01-04)
In this thesis, a generalized leverage-based sub-sampling method for single-index models is proposed. The approach gives more efficient estimators than random sub-samples of the same size. Also, robust rank-based estimators ...
Quasi-static poroelastic equations as a symmetric positive system and its numerical approximation
(2015-12-11)
This dissertation is concerned with the equations of linear poroelasticity and numerical simulation in the framework of symmetric positive systems. Physical systems arising in geomechanics, hydrology, soil mechanics, ...
Transition Fronts in Time Heterogeneous Bistable Equations with Nonlocal Dispersal: Existence, Regularity, Stability and Uniqueness
(2015-04-30)
This dissertation is devoted to the existence, regularity, stability and uniqueness of transition fronts in nonlocal bistable equations in time heterogeneous media.
Instead of existence, we start our study with ...
Dynamical Behavior of Nonautonomous and Stochastic HBV Infection Model
(2020-12-04)
Mathematical modeling of population and transmission dynamics of an infectious disease considered a critical theoretical epidemiology method provides a strong understanding of the virus dynamics. This dissertation studies ...
Robust Bayesian Methods for Semi-parametric Models
(2020-07-21)
Nonparametric rank-based approaches in many situations provide more flexible modeling speci cations and robustness when the distribution of data diff ers from the assumed distribution. This dissertation is mainly concerned ...
A Newton - Galerkin Finite Element Method to solve reduced dimensional Variable Density Flow and Solute Transport Equations using Proper Orthogonal Decomposition method
(2020-07-20)
The mathematical model of Variable Density Flow and Solute Transport (VDFST) is a
time dependent, coupled and nonlinear dynamical system that is widely used to simulate seawater
intrusion and related problems. The numerical ...
Numerical Simulations of Conservation Laws in Random Heterogeneous Media
(2020-07-17)
Conservation laws play an important role in many areas of natural science. When we design numerical schemes for conservation laws, we usually assume that initial data and flux function (the rate of change of quantity of ...
Numerical Modeling of Electromagnetic Wave Scattering by Layered Random Surfaces
(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 ...
The Application of Complex Numbers and Quaternions in Navigation
(2020-11-30)
Complex numbers and quaternions have a wide array of applications. This paper beginsby briefly going over the history of complex numbers and quaternions, bringing up little knownfacts on main discoverers. Then, we ...