Students may be able to complete one of these projects by enrolling in either MSc or PhD programs in Math (http://www.mun.ca/math/graduate/) or the MSc in Scientific Computing program (http://www.mun.ca/science/graduate/interdisciplinary/cmsc/). Students should contact the potential supervisor to see which program would be most appropriate for them.
- Wavelet transform for modeling intermittency of turbulence.
- Large Eddy Simulation (geophysical turbulence).
- Intermittency in Boundary Layer Turbulence.
- Invariant and conservative discretization schemes for PDEs, including linear and nonlinear wave equations, Maxwell's equations, the shallow-water equations, and the two- and three-dimensional Euler and Navier-Stokes equations
- Invariant and conservative parameterization schemes (including turbulence modeling)
- Group analysis and group classification for PDEs
- Stochastic domain decomposition for Maxwell's equations
- Stochastic domain decomposition for grid generation
- Adaptivity and R-refinement for geophysical applications
- Stochastic Domain Decomposition for space and space-time problems
- Domain Decomposition methods for PDE based mesh generation
- Large Scale Oil Well Placement, Control, and WAG Optimization
- Multigrid methods for saddle-point problems arising in complex fluid and solid mechanics
- Parameter-Robust discretization and solvers for singularly perturbed differential equations
- Mathematical modelling of heat transfer
- Space-time parallel multigrid methods