Applied Mathematics
This is the collection for the University of Waterloo's Department of Applied Mathematics .
Research outputs are organized by type (eg. Master Thesis, Article, Conference Paper).
Waterloo faculty, students, and staff can contact us or visit the UWSpace guide to learn more about depositing their research.
Recent deposits
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A Floating Ball and Two Asymptotic Problems in Capillarity
(University of Waterloo, 2021-06-02)The study of capillary phenomena can be traced back to the age of Aristotle. In this thesis, a floating ball and two asymptotic problems in capillarity are considered, all of which include surface tension and gravity. The ... -
On Realistic Errors in Quantum Computers
(University of Waterloo, 2021-05-27)In this thesis, we are concerned with the problem of characterizing noise associated with implementations of quantum circuits. We first explore the notion of error rates of quantum circuits and argue that the semantic ... -
Modeling human-coupled common pool resource systems with techniques in evolutionary game theory and reinforcement learning
(University of Waterloo, 2021-05-26)Shared resource extraction among profit-seeking individuals involves a tension between individual benefit and the collective well-being represented by the persistence of the resource. In these systems, the decisions of ... -
Light-Matter Interaction Models in Relativistic Quantum Information
(University of Waterloo, 2021-05-21)In this thesis, we study the interaction of a first-quantized atomic system with the quantum electromagnetic field within the context of relativistic quantum information (RQI). To that end, we examine common classes of ... -
Preconditioning of Hybridizable Discontinuous Galerkin Discretizations of the Navier-Stokes Equations
(University of Waterloo, 2021-05-19)The incompressible Navier-Stokes equations are of major interest due to their importance in modelling fluid flow problems. However, solving the Navier-Stokes equations is a difficult task. To address this problem, in this ... -
H(div)-conforming Discontinuous Galerkin Methods for Multiphase Flow
(University of Waterloo, 2021-05-05)Computational fluid dynamics (CFD) is concerned with numerically solving and visualizing complex problems involving fluids with numerous engineering applications. Mathematical models are derived from basic governing ... -
Hydrodynamics of the Yucatan peninsula carbonate aquifer: surface flow, inland propagation and mixing
(University of Waterloo, 2021-04-28)This thesis is a collection of three investigations into the hydrodynamics and hydrogeology of the Yucatan Peninsula, Mexico. The first investigation models potential mangrove-groundwater interactions as a box model. We ... -
Emergence and Implications of Conservation Opinion Propagation in Dynamic Coupled Socio-Ecological Systems
(University of Waterloo, 2021-04-22)Human behaviour is rarely a static phenomenon. In life, individuals are presented with choices that define the trajectories they will experience days, weeks or months later. As an example consider farmer decision-making ... -
Computational and Theoretical Insights into Multi-Body Quantum Systems
(University of Waterloo, 2021-03-31)In generality, perfect predictions of the structure and dynamics of multi-body quantum systems are few and far between. As experimental design advances and becomes more refined, experimentally probing the interactions of ... -
“Wait and see” vaccinating behavior during a pandemic: a game theoretic analysis
(Elsevier, 2011-07-26)During the 2009 H1N1 pandemic, many individuals adopted a “wait and see” approach to vaccinating until further information was available on the course of the pandemic and emerging vaccine risks. This behaviour implies two ... -
Control of Non-deterministic Transition Systems for Linear Temporal Logic Specifications
(University of Waterloo, 2021-02-01)Consider the formal synthesis problem in the continuous dynamical systems. A systematic approach is the abstraction-based method: constructing an abstraction of the original continuous system in the discrete space, and ... -
Investigations into quantum light-matter interactions, their approximations and applications
(University of Waterloo, 2021-01-26)Devoting some thought to the interactions between light and matter quickly conjure a myriad of different possibilities; different models for light and matter, different possible interaction Hamiltonians, different simplifying ... -
Optimal Experimental Design Applied to Models of Microbial Gene Regulation
(University of Waterloo, 2020-12-22)Microbial gene expression is a comparatively well understood process, but regulatory interactions between genes can give rise to complicated behaviours. Regulatory networks can exhibit strong context dependence, time-varying ... -
Viewing Trends in Graph Connectivity as Early Warnings of Epidemics and Vaccine Crises
(University of Waterloo, 2020-12-15)When measles was rampant, suffering apparent, and relief desired, the prospect of vaccination was received with open arms by a grateful public. But it worked \emph{too} well, and opinions slowly diverged; scientists saw ... -
Math and the Fountain of Youth
(University of Waterloo, 2020-12-10)Ageing is associated with impairments in a number of regulatory processes, including in energy dysregulation that affects multiple metabolic pathways and in the circadian rhythms. In the management of metabolic stress ... -
Best response dynamics improve sustainability and equity outcomes in common-pool resources problems, compared to imitation dynamics
(Journal of Theoretical Biology, 2021-01-21)Shared resource extraction among profit-seeking individuals involves a tension between individual benefit and the collective well-being represented by the persistence of the resource. Many game theoretic models explore ... -
Mutation rates of Escherichia coli with different balanced growth rates: a new fluctuation test protocol and phenotypic lag adjustments
(University of Waterloo, 2020-10-23)Bacteria are the oldest, most abundant life form on the planet, and every other organism’s livelihood is dependent on them. The bacteria Escherichia coli (E. coli) is commonly used in microbiology as a model organism to ... -
Estimating the COVID-19 R number: a bargain with the devil?
(Elsevier, 2020-10-22)The basic reproduction number R0 is the average number of infections produced by a single infectious person in a population with no immunity. R0 has a close relative named the effective reproduction number R: the average ... -
Coherent delocalization in the light-matter interaction
(University of Waterloo, 2020-10-08)In this thesis, we study coherent delocalization in the light-matter interaction: we investigate how the coherent center of mass delocalization of a first quantized system affects its interaction with a second quantized ... -
On the Application of Bandlimitation and Sampling Theory to Quantum Field Theory
(University of Waterloo, 2020-10-07)It is widely believed that combining the uncertainty principle with gravity will lead to an effective minimum length scale. A particular challenge is to specify this scale in a coordinate-independent manner so that covariance ...
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