Browsing Applied Mathematics by Title
Now showing items 283-302 of 494
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Modelling Internal Solitary Waves and the Alternative Ostrovsky Equation
(University of Waterloo, 2014-04-25)Internal solitary waves (ISWs) are commonly observed in the ocean, and they play important roles in many ways, such as transport of mass and various nutrients through propagation. The fluids considered in this thesis ... -
A modelling investigation into the impacts of the convective parameterization on the tropical circulation
(University of Waterloo, 2017-08-15)Many studies have shown that the tropical circulations (Walker and Hadley circulations) will weaken in a warmer world. This is sometimes attributed to changes in the tropical mean water cycling rate (driven by convective ... -
The Modelling of Biological Growth: a Pattern Theoretic Approach
(University of Waterloo, 2010-01-11)Mathematical and statistical modeling and analysis of biological growth using images collected over time are important for understanding of normal and abnormal development. In computational anatomy, changes in the shape ... -
Modelling resilience and sustainability of complex human-environment systems in agriculture and ecology
(University of Waterloo, 2020-06-01)As we move further into the Anthropocene, numerous challenges to sustainable development present themselves. Questions abound: How do we feed a growing population? What steps must we take to conserve ecologically valuable ... -
Modelling Science Trustworthiness Under Publish Or Perish Pressure
(Royal Society, The, 2018-01-01)Scientific publication is immensely important to the scientific endeavour. There is, however, concern that rewarding scientists chiefly on publication creates a perverse incentive, allowing careless and fraudulent conduct ... -
Modelling Subglacial Hydrology under Future Climate Scenarios in Wilkes Subglacial Basin, Antarctica
(University of Waterloo, 2022-10-21)The Greenland and Antarctic ice sheets have differing climates, which makes surface melt a significant hydrological source in Greenland but not currently in Antarctica. Due to a changing climate and warming air temperatures, ... -
Modelling the Subglacial Hydrology of Trinity-Wykeham Glaciers of the Northern Canadian Arctic
(University of Waterloo, 2023-11-09)In Canada’s High Arctic region, the melting of glacial ice contributes substantially to the world’s increasing sea levels (Harig and Simons, 2016). Of the icebergs in the region, approximately 62% are discharged by ... -
A modified sliding-mode observer design with application to diffusion equation
(Taylor and Francis, 2018-02-27)In many physical systems, the system's full state cannot be measured. An observer is designed to reconstruct the state from measurements. Disturbances often contribute to the dynamics of the system, and the designed observer ... -
Monte Carlo Simulation of Diffusion Magnetic Resonance Imaging
(University of Waterloo, 2020-01-16)The goal of this thesis is to describe, implement and analyse Monte Carlo (MC) algorithms for simulating the mechanism of diffusion magnetic resonance imaging (dMRI). As the inverse problem of mapping the sub-voxel ... -
Motion Planning and Observer Synthesis for a Two-Span Web Roller Machine
(University of Waterloo, 2010-09-30)A mathematical model for a Two-Span Web Roller machine is defined in order to facilitate motion planning, motion tracking and state observer design for tracking web tension and web velocity. Differential Flatness is utilized ... -
Multi-Resolution Approximate Inverses
(University of Waterloo, 1999)This thesis presents a new preconditioner for elliptic PDE problems on unstructured meshes. Using ideas from second generation wavelets, a multi-resolution basis is constructed to effectively compress the inverse of the ... -
Multi-scale entropy analysis and Hurst exponent
(Elsevier, 2019-08-15)Several methods exist for measuring the complexity in a system through analysis of its associated time series. Multi-scale entropy appears as a successful method on this matter. It has been applied in many disciplines with ... -
Multi-scale Models of Tumor Growth and Invasion
(University of Waterloo, 2012-10-04)Cancer is a complex, multi-scale disease marked by unchecked cellular growth and proliferation. As a tumor grows, it is known to lose its capacity to maintain a compact structure. This stage of development, known as invasion, ... -
A Multilevel Method for Image Segmentation
(University of Waterloo, 2010-01-18)Image segmentation is a branch of computer vision that has received a considerable amount of interest in recent years. Segmentation describes a process that divides or partitions the pixels of a digital image into groups ... -
Multiscale Methods in Image Modelling and Image Processing
(University of Waterloo, 2005)The field of modelling and processing of 'images' has fairly recently become important, even crucial, to areas of science, medicine, and engineering. The inevitable explosion of imaging modalities and approaches ... -
Multiscale models of kidney function and diseases
(Elsevier, 2019-09)The kidney is a complex system whose function is the result of synergistic operations among a number of biological processes. The spatial and functional scales of those processes span a wide range. To interrogate kidney ... -
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 ... -
Mutual Information Based Methods to Localize Image Registration
(University of Waterloo, 2005)Modern medicine has become reliant on medical imaging. Multiple modalities, e. g. magnetic resonance imaging (MRI), computed tomography (CT), etc. , are used to provide as much information about the patient as ... -
Negative Quasi-Probability in the Context of Quantum Computation
(University of Waterloo, 2013-08-09)This thesis deals with the question of what resources are necessary and sufficient for quantum computational speedup. In particular, we study what resources are required to promote fault tolerant stabilizer computation to ... -
Network centrality analysis of eye-gaze data in autism spectrum disorder
(Elsevier, 2019-08)Individuals suffering from autism spectrum disorder (ASD) exhibit impaired social communication, the manifestations of which include abnormal eye contact and gaze. In this study, we first seek to characterize the spatial ...