Dr. Marcus R Garvie

Profile:

Associate Professor
Dept of Mathematics & Statistics
University of Guelph (July 2012 - )

Assistant Professor
Dept of Mathematics & Statistics
University of Guelph (Aug 2006-June 2012)

Postdoctoral Research Associate
School of Computational Science
Florida State University (2003-2006)

Ph.D., Mathematics
University of Durham (UK), 2003

M.S., Mathematics
University of Reading (UK), 1998

Postgraduate Certificate in Education
Mathematics (sec. level)
Keele University (UK), 1993

M.S., Ecology
The University of Wales, Bangor (UK), 1991

B.S. (Honors), Mathematics
The University of Sussex (UK), 1989




    Figure 2: Predator invasion in a domain with complicated boundary (snapshot at T = 150)

    Numerical simulation of predator invasion on a domain with an approximate fractal boundary (Kock Snowflake) in a phytoplankton-zooplankton reaction-diffusion model. The standard Galerkin FEM using continuous piecewise linear basis functions was employed with homogeneous Dirichlet boundary conditions and an unstructured simplex mesh with 9636 triangles and 5249 nodes (bounding box is [0,400]2).


In August 2006 I joined the Department of Mathematics & Statistics at the University of Guelph, as an Assistant Professor of Mathematics. I was promoted to Associate Professor (with tenure) in July 2012. Prior to this I was a Postdoctoral Research Associate at Florida State University working under Prof. Max Gunzburger. I was awarded the PhD in Applied Mathematics, within the Numerical Analysis Group, at the University of Durham, England, in 2003, under the supervision of Dr. James Blowey. In addition to my research skills I have extensive teaching experience gained from secondary school level positions, teaching at the community college level, and also from the post of Mathematics Instructor at Arizona State University in the USA.

My doctoral training was in the rigorous numerical analysis of parabolic partial differential equations using the finite element method. Since then I have branched out into mathematical biology, with particular interest in spatially extended predator-prey interactions and mathematical ecology. I have also worked in optimal control theory and studied diffusion-induced instability (Turing theory). For further details see my current research topics and papers.

   
   
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Last updated: Sept 26, 2006 by Marcus R Garvie