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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An Integral Projection Model for Giant Hogweed
(University of Waterloo, 2019-02-04)In this thesis I investigate the impact that the choice of model may have on predictions of giant hogweed population dynamics. It has been shown in two case studies that population growth rates predicted by matrix population ... -
What is a field, what is a particle?...what about algebras?
(University of Waterloo, 2019-01-25)Much of the structure of quantum field theory (QFT) is predicated on the principle of locality. Adherence to locality is achieved in Algebraic QFT (AQFT) by the association of algebras of observables with regions of ... -
Sensitivity of Idealized Squall Line Simulation to Resolution and Subgrid Turbulence Mixing
(University of Waterloo, 2019-01-23)In this project, the sensitivity of idealized squall line simulations to horizontal grid spacing and turbulent mixing parameterization will be discussed. Inconsistent results from numerical simulations of convective ... -
Wave Refraction Effects in High Intensity Focused Ultrasound
(University of Waterloo, 2019-01-22)High-Intensity Focused Ultrasound (HIFU) is a promising field of research being developed as an alternative to surgery and radiation therapy for the treatment of tumours. Within this field, many current methods of ... -
Shape & cutoff in superconducting qubits, work fluctuations in correlation creation, & critical commentary
(University of Waterloo, 2019-01-22)Part I We apply the Unruh-DeWitt model for a qubit interacting with a quantum field to a superconducting qubit. We use the flexibility of this model, as compared to the spin-boson model used widely in the literature, ... -
Qualitative Properties of Hybrid Singular Systems
(University of Waterloo, 2019-01-15)A singular system model is mathematically formulated as a set of coupled differential and algebraic equations. Singular systems, also referred to as descriptor or differential algebraic systems, have extensive applications ... -
Dimensionality Reduction of the Chemical Master Equation
(University of Waterloo, 2019-01-11)The dynamics of biochemical systems show significant variability when the reactant populations are small. Standard approaches via deterministic modeling exclude such variability. A well established stochastic model, the ... -
Numerical Modelling of Wind Storms in the Lower Great Lakes
(University of Waterloo, 2019-01-07)Convective storms are incredible meteorological events; the impact of just one storm can be extreme and widespread. On July 21 1998, a convective storm formed west of Lake Michigan, moving quickly across the lower Great ... -
Development and Application of Models and Diagnostics for Geophysical Fluid Flows
(University of Waterloo, 2019-01-07)This thesis presents the development and application of numerical tools for simulating and diagnosing quasi-geostrophic fluid systems. In this thesis we present a new numerical model called SPIQG that is pseudo-spectral ... -
Studies of tumor heterogeneity, tumor microenvironment, and radiotherapy: A mathematical and computational approach
(University of Waterloo, 2019-01-04)Radiotherapy uses high doses of energy to eradicate cancer cells and thus destroy the bulk of tumors. Radiobiologists try to precisely deliver radiation to a targeted area in order to maximize the cancer cell kill rate ... -
Spatial correlation as an early warning signal of regime shifts in a multiplex disease-behaviour network
(Elsevier, 2018-07-07)Early warning signals of sudden regime shifts are a widely studied phenomenon for their ability to quantify a system’s proximity to a tipping point to a new and contrasting dynamical regime. However, this effect has been ... -
On the optimal CFL number of SSP methods for hyperbolic problems
(Elsevier, 2019-01-01)We show that the theory for strong stability preserving (SSP) time stepping methods employed with the method of lines-type discretizations of hyperbolic conservation laws may result in overly stringent time step restrictions. ... -
On fixed points of self maps of the free ball
(Elsevier, 2018-07-01)In this paper, we study the structure of the fixed point sets of noncommutative self maps of the free ball. We show that for such a map that fixes the origin the fixed point set on every level is the intersection of the ... -
Convergence of socio-ecological dynamics in disparate ecological systems under strong coupling to human social systems
(2018-04-06)It is widely recognized that coupled socio-ecological dynamics can be qualitatively different from the dynamics of social or ecological systems in isolation from one another. The influence of the type of ecological dynamics ... -
Revising Ecological Assumptions About Human Papillomavirus Interactions And Type Replacement
(Elsevier, 2014-06-07)The controversy over whether vaccine-targeted HPV types will be replaced by other oncogenic, non-vaccine-targeted types remains unresolved. This is in part because little is known about the ecology of HPV types. Patient ... -
Dynamics And Control Of Foot-And-Mouth Disease In Endemic Countries: A Pair Approximation Model
(Elsevier, 2014-09-21)Previous mathematical models of spatial farm-to-farm transmission of foot and mouth disease (FMD) have explored the impacts of control measures such as culling and vaccination during a single outbreak in a country normally ... -
Could The Human Papillomavirus Vaccines Drive Virulence Evolution?
(Royal Society, The, 2015-01-07)The human papillomavirus (HPV) vaccines hold great promise for preventing several cancers caused by HPV infections. Yet little attention has been given to whether HPV could respond evolutionarily to the new selection ... -
Role Of Word-Of-Mouth For Programs Of Voluntary Vaccination: A Game-Theoretic Approach
(Elsevier, 2015-11-01)We propose a model describing the synergetic feedback between word-of-mouth (WoM) and epidemic dynamics controlled by voluntary vaccination. The key feature consists in combining a game-theoretic model for the spread of ... -
Coupling Fishery Dynamics, Human Health And Social Learning In A Model Of Fish-Borne Pollution Exposure
(Springer, 2016-03-01)Pollution-induced illnesses are caused by toxicants that result from human activity and are often entirely preventable. However, where industrial priorities have undermined responsible governance, exposed populations must ... -
Statistical Physics Of Vaccination
(Elsevier, 2016-12-09)Historically, infectious diseases caused considerable damage to human societies, and they continue to do so today. To help reduce their impact, mathematical models of disease transmission have been studied to help understand ...
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