Research Interests
My research interests predominantly focus on analytic and numerical solutions to partial differential equations through various methods. Typically analytic solution methods are based in asymptotic and perturbation expansions where local information is obtainable and useful. For numerical methods, typically I use finite differences or finite elements to discretize equations and then perform various direct decomposition and iterative methods such as multigrid to analyze them. My primary focus is on problems pertaining to industrial application. My experience with this field includes work with alternative energy, cancer, and recently oil contamination remediation.
Selected Publications
Non-refereed Conference and Workshop Proceedings
| Date | Title | Description |
|---|---|---|
| May 2009 | Dynamics of a large ocean vessel | Work done as part of the 9th Annual PIMS GIMMIC at the University of Calgary. |
| May 2009 | ODE analysis of a cancer pathway | Work done as part of the 9th Annual PIMS IPSW at the University of Calgary. |
| April 2012 | How to choose a football and confuse your enemy | Work done as part of the 4th Annual OCCAM Graduate Modelling camp at the University of Oxford. |
Theses
| Date | Title | Description |
|---|---|---|
| August 2011 | Thermo-viscous fingering and in-situ soil remediation | Master's Thesis-University of British Columbia |
Selected Talks
| Date | Title | Description of Event |
|---|---|---|
| November 2011 | A Case Study on Industrial Mathematics...or Why People Should Care About Applied Mathematics | UBC Math Graduate Student Seminar-Vancouver, BC, Canada |
| July 2012 | Capillary Driven Viscous Fingering in Buckley-Leverett Models | The 9th AIMS Conference on Dynamical Systems, Differential Equations and Applications-Orlando, Florida, USA |
| February 2013 | Case Studies in Industrial Mathematics | UBC Math Undergraduate Colloquium Series-Vancouver, BC, Canada |