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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Direct Numerical Simulations of the Degeneration and Shear Instability of Large and Small Amplitude Basin Scale Internal Waves at Varied Aspect Ratios
(University of Waterloo, 2018-08-14)This thesis presents high resolution simulations of the degeneration and shear instability of standing waves, or seiches, of varying amplitudes and aspect ratios in a continuously stratified fluid. It is well known that ... -
Finite Element Exterior Calculus with Applications to the Numerical Solution of the Green–Naghdi Equations
(University of Waterloo, 2018-08-09)The study of finite element methods for the numerical solution of differential equations is one of the gems of modern mathematics, boasting rigorous analytical foundations as well as unambiguously useful scientific ... -
A Novel Diffusion-based Empirical Mode Decomposition Algorithm for Signal and Image Analysis
(University of Waterloo, 2018-08-09)In the area of signal analysis and processing, the Fourier transform and wavelet transform are widely applied. Empirical Mode Decomposition(EMD) was proposed as an alternative frequency analysis tool. Although shown to ... -
Global land use implications of dietary trends
(PLOS One, 2018-08-08)Global food security and agricultural land management represent two urgent and intimately related challenges that humans must face. We quantify the changes in the global agricultural land footprint if the world were to ... -
The influence of social behaviour on competition between virulent pathogen strains
(Elsevier, 2018-10-14)Infectious disease interventions like contact precautions and vaccination have proven effective in disease control and elimination. The priority given to interventions can depend strongly on how virulent the pathogen is, ... -
Stability and Well-posedness of a Nonlinear Railway Track Model
(Institute of Electrical and Electronics Engineers, 2018-06-22)Railway tracks rest on a foundation known for exhibiting nonlinear viscoelastic behavior. Railway track deflections are modeled by a semilinear partial differential equation. This paper studies the stability of solutions ... -
Hilbert space operators with compatible off-diagonal corners
(Elsevier, 2018-08-15)Given a complex, separable Hilbert space H, we characterize those operators for which ‖PT(I−P)‖=‖(I−P)TP‖ for all orthogonal projections P on H. When H is finite-dimensional, we also obtain a complete characterization of ... -
The effects of dielectric decrement and finite ion size on differential capacitance of electrolytically gated graphene
(Elsevier, 2018-06-01)We analyze the effects of dielectric decrement and finite ion size in an aqueous electrolyte on the capacitance of a graphene electrode, and make comparisons with the effects of dielectric saturation combined with finite ... -
Spectral properties of tensor products of channels
(Elsevier, 2018-09-15)We investigate spectral properties of the tensor products of two completely positive and trace preserving linear maps (also known as quantum channels) acting on matrix algebras. This leads to an important question of when ... -
Stochastic Effects and Fractal Kinetics in the Pharmacokinetics of Drug Transport
(University of Waterloo, 2018-05-16)Pharmacokinetics (PK) attempts to model the progression and time evolution of a drug in the human body from administration to the elimination stage. It is the primary quantitative approach used in drug discovery/development ... -
Comparing malaria surveillance with periodic spraying in the presence of insecticide-resistant mosquitoes: Should we spray regularly or based on human infections?
(Elsevier, 2016-06-01)There is an urgent need for more understanding of the effects of surveillance on malaria control. Indoor residual spraying has had beneficial effects on global malaria reduction, but resistance to the insecticide poses a ... -
Continuous approximation of linear impulsive systems and a new form of robust stability
(Elsevier, 2018-01-01)The time-scale tolerance for linear ordinary impulsive differential equations is introduced. How large the time-scale tolerance is directly reflects the degree to which the qualitative dynamics of the linear impulsive ... -
Bifurcation of Bounded Solutions of Impulsive Differential Equations
(World Scientific Publishing, 2016-12-30)In this article, we examine nonautonomous bifurcation patterns in nonlinear systems of impulsive differential equations. The approach is based on Lyapunov–Schmidt reduction applied to the linearization of a particular ... -
Explicit Runge-Kutta time-stepping with the discontinuous Galerkin method
(University of Waterloo, 2018-04-20)In this thesis, the discontinuous Galerkin method is used to solve the hyperbolic equations. The DG method discretizes a system into a semi-discrete system and a system of ODEs is obtained. To solve this system of ODEs ... -
The Impact Of Aggregating Serogroups In Dynamic Models Of Neisseria Meningitidis Transmission
(BioMed Central, 2015-07-30)Background: Neisseria meningitidis (Nm) is a pathogen of multiple serogroups that is highly prevalent in many populations. Serogroups associated with invasive meningococcal disease (IMD) in Canada, for example, include A, ... -
Disease Dynamics And Costly Punishment Can Foster Socially Imposed Monogamy
(Nature Publishing Group, 2016-04-01)Socially imposed monogamy in humans is an evolutionary puzzle because it requires costly punishment by those who impose the norm. Moreover, most societies were-and are-polygynous; yet many larger human societies transitioned ... -
Sexual Behavior, Risk Perception, And Hiv Transmission Can Respond To Hiv Antiviral Drugs And Vaccines Through Multiple Pathways
(Nature Publishing Group, 2015-10-28)There has been growing use of highly active antiretroviral treatment (HAART) for HIV and significant progress in developing prophylactic HIV vaccines. The simplest theories of counterproductive behavioral responses to such ... -
Cost-Effectiveness Evaluation Of Quadrivalent Influenza Vaccines For Seasonal Influenza Prevention: A Dynamic Modeling Study Of Canada And The United Kingdom
(BioMed Central, 2015-10-27)Background: The adoption of quadrivalent influenza vaccine (QIV) to replace trivalent influenza vaccine (TIV) in immunization programs is growing worldwide, thus helping to address the problem of influenza B lineage mismatch. ... -
Coupled Human-Environment Dynamics Of Forest Pest Spread And Control In A Multi-Patch, Stochastic Setting
(Public Library of Science, 2015-10-02)Background The transportation of camp firewood infested by non-native forest pests such as Asian long-horned beetle (ALB) and emerald ash borer (EAB) has severe impacts on North American forests. Once invasive forest pests ... -
Evaluation Of Serogroup C And Acwy Meningococcal Vaccine Programs: Projected Impact On Disease Burden According To A Stochastic Two-Strain Dynamic Model
(Elsevier, 2015-01-01)Objective: Advisory committees in Canada and the United States have updated recommendations for quadrivalent meningococcal conjugate vaccines against serogroups A, C, W135, and Y. Our objective was to evaluate optimally ...
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