Course Projects

SFU (Ph.D.)

APMA930: Computational Fluid Dynamics

Title: A Computation of Potential Vorticity Dynamics for Small Rossby Number 2D Rotating Shallow Water
Joint work with Alana McKenzie
Keywords: computational fluid dynamics, rotating shallow water, spectral methods, asymptotics

The final document.
This work formed part of a poster with Alana McKenzie and David J Muraki.

APMA929: Finite Element Methods

Title: Recovering Surfaces from Gradient Values
Keywords: finite element method, FEM, shade-from-shading

Download the final document.
Download the Matlab source code used for this project.

SFU (M.Sc.)

APMA920: Numerical Linear Algebra

Title: Developing a Method of Computing the Boundary of the Polynomial Numerical Hull
Keywords: polynomial numerical hull, $\epsilon$-pseudospectra, non-normal matrices, explicit front tracking

Download the final document.
Download slides from my presentation.

APMA990: Introduction To Wavelets

Title: Wavelets for Audio Compression
Keywords: haar wavelets, audio compression

Download the slides from my final presentation.
Some preliminary work.
A summary page with audio samples.

MATH462: Introduction To Fluid Dynamics

Title: Bibliography of Fluid Dynmaics
Keywords: fluid dynamics, literature search

Read online in html format.
Download in postscript (gzipped) format or as a pdf file.
Download the L^ATEX source.

APMA900: Advanced Mathematical Methods 1

Title: Small Amplitude Oscillations In The Length of a Pendulum
Keywords: pendula, perturbation theory, secular growth, floquet theory

Download slides.

APMA922 Numerical PDEs

Title: Essentially Non-Oscillatory (ENO) Schemes for the Spatial Discretization of Hyperbolic PDEs

Acadia (B.Sc.)

MATH2423: Numerical Methods 2

Title: The Predicted Sequential Regularization Method for Differential-Algebraic Equations
Keywords: sequential regularization methods, predicted sequential regularization methods, method of lines.

Download the final document.

MATH3743: Introductory PDEs

Title: Solving Navier-Stokes Equations with Sequential Regularization Methods
Keywords: incompressible navier-stokes, sequential regularization methods, predicted sequential regularization methods, method of lines.

Download the final document.