Browsing Honours Theses by Author "Muir, Paul"

Now showing items 1-6 of 6

Exploration of moving transformation methods for boundary value ordinary differential equations and one-dimensional time-dependent partial differential equations

Tannahill, Connor (Halifax, N.S. : Saint Mary's University, 2019)

Rapid advances in computing power have given computational analysis and simulation a prominent role in modern scientific exploration. Differential equations are often used to model complex scientific phenomena. In practice, ...
Finite difference based error estimation for boundary value ODEs, 1D PDEs and 2D PDEs

Murtha, Thomas (Halifax, N.S. : Saint Mary's University, 2017)

Differential equations are involved in many felds. Often these cannot be solved exactly, so they must be approximated. To do this, we derive a fourth order finite difference scheme for non-uniform meshes. This is paired ...
Investigation of efficient methods for the determination of Strassen-type algorithms for fast matrix multiplication

MacDonald, Zachary A. (Halifax, N.S. : Saint Mary's University, 2016)

Fast matrix multiplication algorithms such as the Strassen algorithm allow for the multiplication of matrices with fewer multiplications than would normally be needed, thus making the calculations more efficient. We introduce ...
Python tools for the investigation of optimal explicit runge-kutta methods

Singla, Shivam (Halifax, N.S. : Saint Mary's University, 2021)

The investigation of many real-world applications involves mathematical models that consist of systems of ordinary differential equations (ODEs). This thesis mainly focuses on the ODEs with the initial values known as ...
Spatial error estimation for collocation solutions of diﬀerential equations

Fraser, Andrew E. (Halifax, N.S. : Saint Mary's University, 2020)

Computational Science is now a central component of all scientiﬁc investigation, along with the traditional modes of experimental and theoretical investigation. Computational Science involves the development and solution ...
Use of numerical PDE software for the solution of a classic problem in mathematical finance

Young, Jenna (Halifax, N.S. : Saint Mary's University, 2014)

Mathematical modelling is an important part of the finance industry. These models can be very complex and one often needs to use numerical methods and numerical software packages to get approximate solutions to these models. ...