PhD in Applied Mathematics - Scientific Computing in Waterloo Canada | University of Waterloo

The interplay between Mathematics and the Sciences has profoundly influenced modern civilization through centuries of reciprocal inspiration. Within this framework, the Department of Applied Mathematics provides graduate students with specialized study options in Control Theory and Dynamical Systems, Fluid Mechanics, Mathematical Medicine and Biology, Mathematical Physics, and Scientific Computation. Student research initiatives employ advanced mathematical principles across diverse scientific disciplines, spanning from optimizing cancer treatments and manipulating shape memory alloys to processing fractal images, advancing quantum computing, and investigating climate patterns, cosmic inflation, and nanoscale technologies. As part of the University of Waterloo's Faculty of Mathematics - ranked 20th globally in the 2015 QS Mathematics Rankings - our department maintains strong collaborations with Science and Engineering faculties, along with specialized centers focusing on mathematical medicine, theoretical neuroscience, quantum research, nanotechnology, water studies, and industrial mathematics. We provide both Master's and doctoral programs: our two-year thesis-based MMath degree serves as a foundation for either doctoral studies or professional careers, while our four-year PhD program primarily prepares graduates for academic research, though some enter industrial or governmental R&D roles.
The department's Scientific Computing research excels in PDE numerical methods and numerical linear algebra, while also exploring ODE solutions, inverse problems, and optimization techniques. This research encompasses everything from algorithmic development to high-performance computing implementations, with collaborative ties to Computer Science, Combinatorics and Optimization, and Computational Mathematics units. Students benefit from access to SHARCNET and Compute Canada's extensive computing resources.