Year: 2020, 2020
Member of: Trent University Graduate Thesis Collection
Abstract: <p>The time-dependent Gross-Pitaevskii Equation, describing the movement of parti-</p><p>cles in quantum mechanics, may not be solved analytically due to its inherent non-</p><p>linearity. Hence numerical methods are of importance to approximate the solution.</p><p>This study develops a discrete scheme in time and space to simulate the solution</p>… more Full Text: Sinc-Collocation Difference Methods for Solving the Gross-Pitaevskii Equation A Thesis Submitted to the Committee on Graduate Studies in Partial Fulfillment of the Requirements for the Degree of Master of Science in the Faculty of Arts and Science TRENT …
Year: 2020, 2020
Member of: Trent University Graduate Thesis Collection
Abstract: <p>Databases containing information such as location points, web searches and fi- nancial transactions are becoming the new normal as technology advances. Conse- quentially, searches and cross-referencing in big data are becoming a common prob- lem as computing and statistical analysis increasingly allow for the contents of such databases to be analyzed and dredged for data. Searches… more Full Text: Combinatorial Collisions in Database Matching: With Examples From DNA A Thesis Submitted to the Committee on Graduate Studies in Partial Fulfillment of the Requirements for the Degree of Master of Science in the Faculty of Arts and Science TRENT …
Year: 2020, 2020
Member of: Trent University Graduate Thesis Collection
Abstract: <p>In this thesis, a new sinc-collocation method based upon derivative interpolation is developed for solving linear and nonlinear boundary value problems involving differential as well as integro-differential equations. The sinc-collocation method is chosen for its ease of implementation, exponential convergence of error, and ability to handle to singularities in the BVP. We present a… more Full Text: Solving Differential and Integro-Differential Boundary Value Problems using a Numerical Sinc-Collocation Method Based on Derivative Interpolation A Thesis Submitted to the Committee on Graduate Studies in Partial Fulfillment of the Requirements for the …
Year: 2020, 2020
Member of: Trent University Graduate Thesis Collection
Abstract: <p>Research and development activities conducted at universities and firms fuel economic growth</p><p>and play a key role in the process of innovation. Specifically, prior research has investigated the</p><p>widespread university-to-firm research development path and concluded that universities are</p><p>better suited for early stage of research while… more Full Text: Pathways to Innovation: Modelling University-to-Firm Research Development A Thesis Submitted to the Committee on Graduate Studies in Partial Fulfillment of the Requirements for the Degree of Master of Science in the Faculty of Arts and Science TRENT …
Year: 2020, 2020
Member of: Trent University Graduate Thesis Collection
Abstract: <p>The digital typesetting of mathematics can present many challenges to users, especially those of novice to intermediate experience levels. Through a series of experiments, we show that two models used to represent mathematical structure in these typesetting applications, the 1-dimensional structure based model and the 2-dimensional freeform model, cause interference with users'… more Full Text: Characteristics of Models for Representation of Mathematical Structure in Typesetting Applications and the Cognition of Digitally Transcribing Mathematics A Thesis Submitted to the Committee on Graduate Studies in Partial Fulfillment of the Requirements …
Year: 2020, 2020
Member of: Trent University Graduate Thesis Collection
Abstract: <p>The spectrum of a given time series is a characteristic function describing its frequency properties. Spectrum estimation methods require time series data to be contiguous in order for robust estimators to retain their performance. This poses a fundamental challenge, especially when considering real-world scientific data that is often plagued by missing values, and/or irregularly… more Full Text: A Framework for Testing Time Series Interpolators A Thesis Submitted to the Committee on Graduate Studies in Partial Fulfillment of the Requirements for the Degree of Master of Science in the Faculty of Arts and Science TRENT UNIVERSITY Peterborough, …
Year: 2020, 2020
Member of: Trent University Graduate Thesis Collection
Abstract: <p>Little is actually known about how people cognitively process and integrate information when solving complex mathematical problems. In this thesis, eye-tracking was used to examine how people read and integrate information from mathematical symbols and complex formula, with eye fixations being used as a measure of their current focus of attention. Each participant in the studies was… more Full Text: Problem Solving as a Path to Understanding Mathematics Representations: An Eye-Tracking Study A Thesis Submitted to the Committee on Graduate Studies in Partial Fulfillment of the Requirements for the Degree of Master of Science in the Faculty of Arts and …
