Browsing Mathematics (Faculty of) by Title
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H(div)conforming Discontinuous Galerkin Methods for Multiphase Flow
(University of Waterloo, 20210505)Computational fluid dynamics (CFD) is concerned with numerically solving and visualizing complex problems involving fluids with numerous engineering applications. Mathematical models are derived from basic governing ... 
H∞ optimal actuator location
(University of Waterloo, 20120517)There is often freedom in choosing the location of actuators on systems governed by partial differential equations. The actuator locations should be selected in order to optimize the performance criterion of interest. ... 
H2Optimal Sensor Location
(University of Waterloo, 20140624)Optimal sensor placement is an important problem with many applications; placing thermostats in rooms, installing pressure sensors in chemical columns or attaching vibration detection devices to structures are just a few ... 
Hadez, a Framework for the Specification and Verification of Hypermedia Applications
(University of Waterloo, 2000)In recent years, several methodologies for the development of hypermedia applications have been proposed. These methodologies are, primarily, guidelines to be followed during the design process. They also indicate what ... 
Halfway to Halfspace Testing
(University of Waterloo, 20171018)In this thesis I study the problem of testing halfspaces under arbitrary probability distributions, using only random samples. A halfspace, or linear threshold function, is a boolean function f : Rⁿ → {±1} defined as the ... 
Halocline mixing due to heavy rainfall in the cenote's of the Yucatan Peninsula
(University of Waterloo, 20160823)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 ... 
Hamilton Paths in Generalized Petersen Graphs
(University of Waterloo, 2002)This thesis puts forward the conjecture that for <i>n</i> > 3<i>k</i> with <i>k</i> > 2, the generalized Petersen graph, <i>GP</i>(<i>n,k</i>) is Hamiltonlaceable if <i>n</i> is even and <i>k</i> is odd, and it is ... 
Hardness results and approximation algorithms for some problems on graphs
(University of Waterloo, 20081217)This thesis has two parts. In the first part, we study some graph covering problems with a nonlocal covering rule that allows a "remote" node to be covered by repeatedly applying the covering rule. In the second part, we ... 
Harmonic analysis of Rajchman algebras
(University of Waterloo, 20100831)Abstract harmonic analysis is mainly concerned with the study of locally compact groups, their unitary representations, and the function spaces associated with them. The Fourier and FourierStieltjes algebras are two of ... 
Harnessing catalytic pumps for directional delivery of microparticles in microchambers
(Springer Nature, 20170217)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 ... 
Harnessing surfacebound enzymatic reactions to organize microcapsules in solution
(American Association for the Advancement of Science (AAAS), 201603)By developing new computational models, we examine how enzymatic reactions on an underlying surface can be harnessed to direct the motion and organization of reagentladen microcapsules in a fluidfilled microchannel. In ... 
Harnessing the Power of Generative Models for Mobile Continuous and Implicit Authentication
(University of Waterloo, 20210630)Authenticating a user's identity lies at the heart of securing any information system. A trade off exists currently between user experience and the level of security the system abides by. Using Continuous and Implicit ... 
Hash Families and CoverFree Families with Cryptographic Applications
(University of Waterloo, 20100928)This thesis is focused on hash families and coverfree families and their application to problems in cryptography. We present new necessary conditions for generalized separating hash families, and provide new explicit ... 
Health Misinformation in Search and Social Media
(University of Waterloo, 20191128)People increasingly rely on the Internet in order to search for and share healthrelated information. Indeed, searching for and sharing information about medical treatments are among the most frequent uses of online data. ... 
'Healthy' Coreference: Applying Coreference Resolution to the Health Education Domain
(University of Waterloo, 20080826)This thesis investigates coreference and its resolution within the domain of health education. Coreference is the relationship between two linguistic expressions that refer to the same realworld entity, and resolution ... 
Hedging Contingent Claims in Markets with Jumps
(University of Waterloo, 20070925)Contrary to the BlackScholes paradigm, an optionpricing model which incorporates the possibility of jumps more accurately reflects the evolution of stocks in the real world. However, hedging a contingent claim in ... 
Hedging Costs for Variable Annuities
(University of Waterloo, 20130903)A general methodology is described in which policyholder behaviour is decoupled from the pricing of a variable annuity based on the cost of hedging it, yielding two sequences of weakly coupled systems of partial differential ... 
Hedging with a Correlated Asset: An Insurance Approach
(University of Waterloo, 2005)Hedging a contingent claim with an asset which is not perfectly correlated with the underlying asset results in an imperfect hedge. The residual risk from hedging with a correlated asset is priced using an actuarial ... 
Hermite form computation of matrices of differential polynomials
(University of Waterloo, 20090827)Given a matrix A in F(t)[D;\delta]^{n\times n} over the ring of differential polynomials, we first prove the existence of the Hermite form H of A over this ring. Then we determine degree bounds on U and H such that UA=H. ... 
Hermite Forms of Polynomial Matrices
(University of Waterloo, 20110823)This thesis presents a new algorithm for computing the Hermite form of a polynomial matrix. Given a nonsingular n by n matrix A filled with degree d polynomials with coefficients from a field, the algorithm computes the ...