• The hydrodynamics of two-dimensional oscillating flows over ripples: the effect of asymmetries in ripple shape and currents 

  Wickramarachchi, Subasha (University of Waterloo, 2017-04-28)

  The research presented in this thesis involved consideration of three increasingly asymmetric oscillatory flows over two ripple profiles, one of which is asymmetric and represents a small deviation from a symmetric ripple. ...

• Evolutionary Dynamics of Cancer: Spatial and Heterogeneous Effects 

  Mahdipour Shirayeh, Ali (University of Waterloo, 2017-01-23)

  Despite significant advances in the study of cancer and associated combination therapeutic treatments, cancer still remains one of the most common and complex often-terminal diseases. Acquisition of high-throughput ...

• Lithium-Ion battery SOC estimation 

  Afshar, Sepideh (University of Waterloo, 2017-01-23)

  Lithium-ion batteries are frequently used in Hybrid electric vehicles (HEVs), which are taking the place of gas-engine vehicles. An important but not measurable quantity in HEVs is the amount of charge remaining in the ...

• Existence and uniqueness of attracting slow manifolds: An application of the Ważewski principle 

  Cid-Montiel, Lorena (University of Waterloo, 2017-01-23)

  In this work we present some of the geometric constructs that aid the application of the Ważewski Theorem. To illustrate the procedure the Michaelis-Menten mechanism will be considered. We show that M, a slow manifold, ...

• Direct Numerical Simulation of Salt Fingering Gravity Currents and Double-Diffusive Rayleigh-Taylor Instabilities 

  Penney, Jared (University of Waterloo, 2017-01-18)

  Double-diffusion refers to a class of instabilities that develops when the density of a fluid depends on two components with different diffusivities. For example, when warm, salty water is layered over cool, fresh water, ...

• Structured Reverse Mode Automatic Differentiation in Nested Monte Carlo Simulations 

  Zhou, An (University of Waterloo, 2017-01-17)

  In many practical large scale computational problems, the calculation of partial derivatives of the object function f with respect to input parameters are entailed and the dimension of inputs n is much larger the one of ...

• Probing Quantum Fields: Measurements and Quantum Energy Teleportation 

  Verdon-Akzam, Guillaume (University of Waterloo, 2017-01-10)

  Quantum Energy Teleportation provides a testbed for modern ideas involving the inter­play between quantum correlations and energy in the quantum thermodynamical regime. In this work, we provide a new class of Quantum Energy ...

• Iterated Function Systems with Place-Dependent Probabilities and the Inverse Problem of Measure Approximation Using Moments 

  Maki, Erik (University of Waterloo, 2016-10-25)

  The study of iterated function systems has close ties with the subject of fractal-based analysis. One important application is the approximation of a target object by the fixed point of a contractive iterated function ...

• Mathematical Aspects of Scalar-Tensor Field Theories 

  Horndeski, Gregory Walter (University of Waterloo, 2016-09-27)

  This thesis is based on a study of Lagrange scalar densities which are, in general, concomitants of the metric tensor gij (and its first and second derivatives) together with a scalar field ∅ (and its first derivative). ...

• Infectious Disease Modeling with Interpersonal Contact Patterns as a Heterogeneous Network 

  Boneng, Joanna Felicia (University of Waterloo, 2016-09-26)

  In this thesis, we study deterministic compartmental epidemic models. The conventional mass-mixing assumption is replaced with infectious disease contraction occurring within a heterogeneous network. Modeling infectious ...

• Early Warning Signals of Vaccine Scares. 

  Pananos, Athanasios (University of Waterloo, 2016-09-26)

  There exists strong evidence that vaccines are extremely effective in the prevention of pediatric infectious disease, yet despite this evidence, vaccine refusal is still popular amongst some parents. Existing mathematical ...

• Non-compact groups, tensor operators and applications to quantum gravity 

  Sellaroli, Giuseppe (University of Waterloo, 2016-09-23)

  This work focuses on non-compact groups and their applications to quantum gravity, mainly through the use of tensor operators. Non-compact groups appear naturally if the space-time is of Lorentzian signature, but can also ...

• Decoupling of Information Propagation from Energy Propagation 

  Jonsson, Robert H. (University of Waterloo, 2016-08-31)

  Information and energy are concepts central to our understanding of nature. Their relevance, in physics, ranges from fundamental physics, e.g., in black hole physics, all the way to future quantum computing technology. ...

• A Taylor polynomial expansion line search for large-scale optimization 

  Hynes, Michael` (University of Waterloo, 2016-08-29)

  In trying to cope with the Big Data deluge, the landscape of distributed computing has changed. Large commodity hardware clusters, typically operating in some form of MapReduce framework, are becoming prevalent for ...

• Stability of Nonlinear Functional Differential Equations by the Contraction Mapping Principle 

  Ramirez Ibanez, Cesar (University of Waterloo, 2016-08-29)

  Fixed point theory has a long history of being used in nonlinear differential equations, in order to prove existence, uniqueness, or other qualitative properties of solutions. However, using the contraction mapping ...

• Halocline mixing due to heavy rainfall in the cenote's of the Yucatan Peninsula 

  Coutino, Aaron (University of Waterloo, 2016-08-23)

  The hydrodynamics of the Yucatan peninsula are extremely important due to the strain on water resources caused by increasing development along the eastern coast. The geology of the peninsula is unique geologically in that ...

• Floating Bodies with Surface Tension 

  Chen, Hanzhe (University of Waterloo, 2016-08-18)

  Capillary phenomena have been studied by mathematicians and physicists for hundreds of years. In this thesis, both two-dimensional(2D) and three-dimensional(3D) bodies floating on an unbounded reservoir are studied based ...

• Indirect Quantum Control: An Implementation-Independent Scheme 

  Layden, David (University of Waterloo, 2016-08-17)

  The ability to control quantum systems rapidly as compared to their coherence times is a central requirement for most proposed quantum technologies, such as quantum computing and quantum metrology. Improving the ratio of ...

• Modeling Photoluminescence Decay Dynamics in Nanocrystals 

  Fernandes, Brian (University of Waterloo, 2016-08-17)

  Photoluminescence resulting from donor-acceptor recombination in gallium oxide nanocrystals was studied at short and long time scales for different nanocrystal sizes. A model for the intensity decay was formulated with two ...

• Mathematical Modelling of Social Factors in Decision Making Processes at the Individual and Population Levels 

  Lang, John (University of Waterloo, 2016-08-11)

  In this thesis we apply mathematical modelling techniques to investigate the implications of social influence on decision making processes in two related contexts. The first problem concerns the mathematical modelling ...

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