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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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 ... -
Implementation of Kalman Filtering for Differential-Algebraic Equations
(University of Waterloo, 2020-09-28)This thesis describes two Kalman filters which are usable on semi-explicit index-1 differential-algebraic equations, prior to which a discussion of linear and nonlinear Kalman filters is presented. Performance between ... -
Challenges in epidemiological modelling: from socio-virulence dynamics to HIV interventions in MSM populations.
(University of Waterloo, 2020-09-28)The spread of infectious diseases is one of the biggest challenges that public health faces nowadays. Their control is often not an easy task. Social behaviour plays an important role in disease prevention. However, the ... -
Quantum fields and machine learning
(University of Waterloo, 2020-09-25)In this thesis, we use detector models to study various properties of quantum fields. One such property is the correlations present in fields. It is known that two uncorrelated detectors, upon coupling to a quantum field, ... -
The Dynamics of the Beaufort Gyre
(University of Waterloo, 2020-09-23)The Beaufort gyre is located in the Canadian Arctic basin and is responsible for the dominant circulation of the Beaufort Sea. Currently, the gyre flows in an anti-cyclonic direction, which leads to the deflection of fresh ... -
Simulating Wintertime Lake Dynamics Using the MITgcm Ice Model
(University of Waterloo, 2020-09-23)Lake Erie is an important source of drinking water, a location for recreational activities and a haven for unique ecosystems (e.g. Point Pelee). Recent research has suggested that some wintertime processes are significantly ... -
The Instability of Geophysical Flows: Two-layer Frontal Instabilities and Continuously Stratified Inertial Instabilities
(University of Waterloo, 2020-09-11)This thesis examines the instabilities of idealized two layer fronts with vertically curved interfaces as well as the inertial instabilities of barotropic and baroclinic jets with background linear stratification. We ... -
Global land use and the future of sustainable consumption: projections of a coupled social-land use model
(University of Waterloo, 2020-09-10)Throughout history, agricultural land use activities have shaped the environment and its inhabitants. Humans have sought to maintain their well-being for centuries by finding revolutionary ways to produce and gather food. ... -
Space-time hybridizable discontinuous Galerkin methods for free-surface wave problems
(University of Waterloo, 2020-08-28)Free-surface problems arise in many real-world applications such as in the design of ships and offshore structures, modeling of tsunamis, and dam breaking. Mathematically, free-surface wave problems are described by a set ... -
Using numerics to explore the EPRL spinfoam amplitude
(University of Waterloo, 2020-08-25)The use of numerical methods in loop quantum gravity is still relatively untapped. Numerical methods are, however, a useful tool, and offer access to regimes that are as of yet inaccessible by analytical methods. This ... -
Topics in early and late Universe cosmology
(University of Waterloo, 2020-08-11)In this thesis, we explore different problems in various areas of cosmology. The inflationary paradigm has been very successful in explaining cosmological observations. However, some problems still linger on. In the ... -
Feature Identification
(University of Waterloo, 2020-08-04)We present several methods for identifying time periods of interest (features) in a wide range of data sets. The gamma method is a computationally inexpensive, flexible feature identification method which uses a comparison ... -
Late-lumping backstepping control of partial differential equations
(Elsevier, 2019-02)We consider in this paper three different partial differential equations (PDEs) that can be exponentially stabilized using backstepping controllers. For implementation, a finite-dimensional controller is generally needed. ...
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