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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