# Applied Mathematics in Canada #

## Modeling ##








This catch-all term refers to mathematicians who use a wide array of technique (analysis, asymptotics, computation, and whatever else is needed) to attack a particular set of problems.

*	Fluids. By far the largest group in Canada in this category is the one working on fluids and atmospheric sciences.  
*	Fluid mechanics labs: (Laboratory for Complex and Non-Newtonian Fluid Flow) (UBC) (Balmforth, Feng, Frigaard) Memorial S.Kocabiyik Navier Stokes problems Owens (Montreal) Blood flow; 
*	Novel numerical methods for micromechanical models of complex polymeric and biological fluids, Bourlioux, Multiscale simulations of reactive and non-reactive fluid flows with interfaces


### Materials ###

*	Western Computational materials science: Colin Denniston. 
*	Soft Matter and Biological Physics: Mikko Karttunen Computational materials science: Martin Müser, 
*	BEC: Sigal, Jerrard, Alama, Bronsard
*	Delfour thin shells, 
*	Anthony Pierce: Failure and fracture processes in granular materials, reactive flows in porous media, control of quantum molecular systems, scientific computation.

### Stochastic Modelling ###

*	Kuske

### Medical Imaging ###
*	Nachman      



## Scientific computing and numerical analysis ##



*	Numerical Modelling, 
*	Discrete Scientific computing
*	GIREF at Laval, 
*	Numerical Analysis Research Laboratory (Ottawa) 

###	Scientific Computing

*	Uri Ascher (UBC) pioneering contributions to direct and inverse numerical methods for evolutionary PDE and PDEs with constraints
*	Robert Russell (SFU) is quite possibly the world expert on moving mesh methods

*	Steve Ruuth (SFU) Level set methods and state of the art methods for solving PDE on surfaces

*	Adam Oberman (SFU) developing novel numerical methods for nonlinear elliptic equations (eg. Monge-Ampere)
*	Nilima Nigam (SFU) development and analysis of spectral, finite and boundary element methods for novel applications in  physics and biology
*	Eldad Haber (UBC) scientific computing and its application to geophysical and medical imaging. 

*	Ray Spiteri (Sask) Numerical solution of ordinary differential equations, partial differential equations, and differential-algebraic equations
*	Nicholas Kevlahan (McMaster) computation of fluid turbulence and weak shocks

*	Paul Tupper:  Numerical algorithms for  Molecular dynamics, statistical mechanics, stochastic differential equations

###	Numerical Analysis:

*	Dominik Schötzau (UBC) analysis of finite element methods 
*	Ian Mitchell (UBC) numerical algorithms for Hamilton-Jacobi equations 


## Industrial Mathematics; modelling with a partner. ##

One of the most concrete compliments that can be paid to a modeller is to support their work financially, showing interest in a very real way. The MITACS network has been central in developing industrial mathematics in Canada. Many of those mentioned above have projects that are industrial in nature; several mathematicians, however, have had a particularly central role in developing these interactions:

*	Stockie, Wetton, Promislow, Huang 
*	Institutions: Applied and Industrial Mathematics (AIMS) at McMaster, Applied Mathematics Institute (Alberta) Institute of Industrial mathematical Science (IIMS) Centre for Computational Mathematics in Industry and Commerce (Waterloo)
ICIAM in Canada.