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

  • Kalman Filter Based Sensor Placement For Burgers Equation 

    Zonov, Stanislav (University of Waterloo, 2019-06-03)
    The algorithm used for determining sensor placement in this thesis will be based on the Kalman filter. This filter is very famous and its application are numerous - some examples include aircraft navigation, finance and ...
  • Numerical Simulations of Internal Solitary and Solitary-Like Waves: Wave Interactions and Instabilities 

    Xu, Chengzhu (University of Waterloo, 2019-05-31)
    Internal solitary and solitary-like waves (ISWs) are commonly observed in stably stratified fluids such as the Earth's atmosphere and oceans. As these waves interact with other physical processes and/or move through a ...
  • Estimation for Linear and Semi-linear Infinite-dimensional Systems 

    Germ, Fabian (University of Waterloo, 2019-05-21)
    Estimating the state of a system that is not fully known or that is exposed to noise has been an intensely studied problem in recent mathematical history. Such systems are often modelled by either ordinary differential ...
  • Three Results in Quantum Physics 

    Huq, Jaron Meser (University of Waterloo, 2019-05-09)
    This thesis is split into three disjoint sections. The first deals with two practical issues regarding the use of unitary 2-designs. A simplified description of how to generate elements of the smallest known unitary 2-design ...
  • Microswimmer Propulsion by Two Steadily Rotating Helical Flagella 

    Shum, Henry (MDPI, 2019-01-01)
    Many theoretical studies of bacterial locomotion adopt a simple model for the organism consisting of a spheroidal cell body and a single corkscrew-shaped flagellum that rotates to propel the body forward. Motivated by ...
  • Harnessing surface-bound enzymatic reactions to organize microcapsules in solution 

    Shklyaev, Oleg E.; Shum, Henry; Sen, Ayusman; Balazs, Anna C. (American Association for the Advancement of Science (AAAS), 2016-03)
    By developing new computational models, we examine how enzymatic reactions on an underlying surface can be harnessed to direct the motion and organization of reagent-laden microcapsules in a fluid-filled microchannel. In ...
  • The effects of flagellar hook compliance on motility of monotrichous bacteria: A modeling study 

    Shum, H.; Gaffney, E. A. (AIP Publishing, 2012-06)
    A crucial structure in the motility of flagellated bacteria is the hook, which connects the flagellum filament to the motor in the cell body. Early mathematical models of swimming bacteria assume that the helically shaped ...
  • Harnessing catalytic pumps for directional delivery of microparticles in microchambers 

    Das, Sambeeta; Shklyaev, Oleg E.; Altemose, Alicia; Shum, Henry; Ortiz-Rivera, Isamar; Valdez, Lyanne; Mallouk, Thomas E.; Balazs, Anna C.; Sen, Ayusman (Springer Nature, 2017-02-17)
    The directed transport of microparticles in microfluidic devices is vital for efficient bioassays and fabrication of complex microstructures. There remains, however, a need for methods to propel and steer microscopic cargo ...
  • Convective flow reversal in self-powered enzyme micropumps 

    Ortiz-Rivera, Isamar; Shum, Henry; Agrawal, Arjun; Sen, Ayusman; Balazs, Anna C. (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 ...
  • Synthetic quorum sensing in model microcapsule colonies 

    Shum, Henry; Balazs, Anna C. (Proceedings of the National Academy of Sciences, 2017-07-24)
    Biological quorum sensing refers to the ability of cells to gauge their population density and collectively initiate a new behavior once a critical density is reached. Designing synthetic materials systems that exhibit ...
  • An Integral Projection Model for Giant Hogweed 

    Drake, Jonathan Peter (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? 

    Papageorgiou, Maria-Eftychia (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 

    Lai, Kwan (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 

    Burnett, Lauren (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 

    McKay, Emma (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 

    Kiyak, Humeyra (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 

    Kathanaruparambil Sukumaran, Midhun (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 

    Chandler, Laura (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 

    Storer, Benjamin (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 

    Forouzannia, Farinaz (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 ...

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