Browsing Applied Mathematics by Title
Now showing items 57-76 of 491
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Construction of Optimal Tubular Networks in Arbitrary Regions in R^3
(University of Waterloo, 2015-08-10)In this thesis, we describe various algorithms for the construction of tubular networks in an arbitrary three-dimensional region that possesses a principal direction along which the cross-section varies. The region can be ... -
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 ... -
Contrasting classical and quantum theory in the context of quasi-probability
(University of Waterloo, 2008-08-22)Several finite dimensional quasi-probability representations of quantum states have been proposed to study various problems in quantum information theory and quantum foundations. These representations are often defined ... -
Contributions to the study of general relativistic shear-free perfect fluids: an approach involving Cartan's equivalence method, differential forms and symbolic computation
(University of Waterloo, 1993)It has been conjectured that general relativistic shear-free perfect fluids with a barotropic equation of state, and such that the energy density, µ, and the pressure, p, satisfy µ + p ̸= 0, cannot simultaneously be rotating ... -
Contributions to the Study of the Validity of Huygens' Principle for the Non-self-adjoint Scalar Wave Equation on Petrov Type D Spacetimes
(University of Waterloo, 2000)This thesis makes contributions to the solution of Hadamard's problem through an examination of the question of the validity of Huygens'principle for the non-self-adjoint scalar wave equation on a Petrov type D spacetime. ... -
Control of Hysteresis in the Landau-Lifshitz Equation
(University of Waterloo, 2013-11-15)There are two main tools for determining the stability of nonlinear partial differential equations (PDEs): Lyapunov Theory and linearization. The former has the advantage of providing stability results for nonlinear ... -
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 ... -
Control of the Landau–Lifshitz equation
(Elsevier, 2016-05)The Landau–Lifshitz equation describes the dynamics of magnetization inside a ferromagnet. This equation is nonlinear and has an infinite number of stable equilibria. It is desirable to control the system from one equilibrium ... -
Controller Gain Optimization for Position Control of an SMA Wire
(University of Waterloo, 2007-05-17)There has been an increasing interest in the field of `smart structures' and `smart materials'. In constructing smart structures, a class of materials called smart materials are often used as sensors and actuators. An ... -
Convective flow reversal in self-powered enzyme micropumps
(Proceedings of the National Academy of Sciences, 2016-02-22)Surface-bound enzymes can act as pumps that drive large-scale fluid flows in the presence of their substrates or promoters. Thus, enzymatic catalysis can be harnessed for "on demand" pumping in nano-and microfluidic devices ... -
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 ... -
Correlation and Communication via a Quantum Field
(University of Waterloo, 2019-07-15)We study the ability of qubit detectors to i) extract correlations from, and ii) transmit quantum information through, a quantum field. We start by perturbatively studying the harvesting of correlations from thermal and ... -
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. ... -
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 ... -
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 ... -
Coupled models of structured contagion processes in human-environment systems
(University of Waterloo, 2021-09-15)Models of infectious processes are a common feature in the landscape of applied mathematics. It is rare that these processes are isolated from other significant dynamics in nature, and therefore we can incorporate some 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 ... -
A Covariant Natural Ultraviolet Cutoff in Inflationary Cosmology
(University of Waterloo, 2013-08-28)In the field of quantum gravity, it is widely expected that some form of a minimum length scale, or ultraviolet cutoff, exists in nature. Recently, a new natural ultraviolet cutoff that is fully covariant was proposed. In ... -
Critical Dynamics In Population Vaccinating Behavior
(National Academy of Sciences, 2017-12-26)Vaccine refusal can lead to renewed outbreaks of previously eliminated diseases and even delay global eradication. Vaccinating decisions exemplify a complex, coupled system where vaccinating behavior and disease dynamics ... -
A Critical Examination of Two Specific Approaches Used to Characterize Medical Images: i) Projection-based Descriptors for Image Retrieval and ii) Estimating Fractal Dimensions of Discrete Sets
(University of Waterloo, 2022-08-31)In this thesis we provide a critical examination of two methods which are used to characterize medical images. Accordingly, this thesis is split into two main parts. First, we take a look at the problem of designing ...