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Applied Mathematics
Our Research
The Applied Mathematics Research Group is one of the largest and most forward-thinking in Canada. Research in this group spans a broad variety of modern topics in applied mathematics, ranging from numerical analysis and scientific computing to modelling and rigorous analysis. Most of this research focuses on nonlinear partial differential equations and their wide applications across the sciences. Numerical and computational topics include compressed sensing, computational fluid dynamics, numerical methods for PDEs on surfaces, image and signal processing, spectral methods, medical imaging, integral equation methods, and adaptive mesh methods. Topics in modelling and applied analysis include the study of differential equation models in areas such as atmospheric sciences, kinetic theory, fluid dynamics, cognitive science, mathematical biology and self-organizing behaviour, as well as computational spectral theory and convergence and error analysis of numerical methods.
Our department offers graduate programs (MSc and PhD) in the area of applied and computational mathematics. More information about these programs can be found on the graduate section of the department's website here: Graduate Programs. The applied mathematics group runs a weekly seminar on Fridays at 3:00pm. Information about upcoming talks can be found on the department's calendar of events on the Math home page or through the link below.
People
Faculty
Ben Adcock
Numerical Analysis, Applied and Computational Harmonic Analysis, Compressed Sensing
Ben Ashby
Mathematical Biology, Epidemiology, Ecology and Evolution
Caroline Colijn
Canada 150 Research Chair in Mathematics for Evolution, Infection and Public Health
Razvan Fetecau
Applied PDE Analysis, Self-Organizing Behaviour
Mary Catherine Kropinski
Computational Fluid Dynamics, Integral Equation Methods
Ailene MacPherson
Infectious Disease Modelling and Estimation
Canada Research Chair (Tier II) in Theoretical Evolutionary Epidemiology
David Muraki
Geophysical Fluid Dynamics, Asymptotic Methods
Nilima Nigam
Numerical Analysis, Spectral Methods, Mathematical Biology
Steve Ruuth
Scientific Computing, PDE's On Surfaces
Jessica Stockdale
Modelling in epidemiology and genomics, mathematical biology
John Stockie
Computational Fluid Dynamics, Industrial Mathematics
Weiran Sun
Applied PDE Analysis, Kinetic Theory
Manfred Trummer
Scientific Computing, Medical Imaging
Paul Tupper
Stochastic Differential Equations, Cognitive Science
JF Williams
Scientific Computing, Adaptive Methods
Ralf Wittenberg
Fluid Dynamics, Mathematical Epidemiology
Robert Russell
(Professor Emeritus) Numerical Analysis, Adaptive Mesh Methods
Postdoctoral Fellows and Visitors
PhD Graduate Students
- Javier Almonacid
- Tian Chen
- Sebastian Moraga
- Nicola Mulberry
- Hannah Potgieter
Recent Courses
Graduate Program
- APMA 900 (4) - Asymptotic Analysis of Differential Equations
- APMA 901 (4) - Parital Differential Equations
- APMA 920 (4) - Numerical Linear Algebra
- APMA 922 (4) - Numerical Solution of Partial Differential Equations
- APMA 923 (4) - Numerical Methods in Continuous Optimization
- APMA 930 (4) - Computational Fluid Dynamics
- APMA 935 (4) - Analysis and Computation of Models
- APMA 990 (4) - Selected Topics in Applied Mathematics
- MATH 895 (4) - Reading Course: Introduction to Compressed Sensing
Undergraduate Courses
- MATH 418 (3) - Partial Differential Equations
- MATH 425 (3) - Real Analysis
- MATH 461 (3) - Continuous Mathematical Models
- MATH 462 (3) - Fluid Dynamics
- MATH 467 (3) - Dynamical Systems
- MATH 470 (3) - Variational Calculus
- MATH 495 (3) - Selected Topics in Applied Mathematics
- MACM 409 (3) - Numerical Linear Algebra and Optimization
- MACM 416 (3) - Numerical Analysis II