LIAM (Laboratory for Industrial and Applied Mathematics) was founded in 2002, and its major computing facilities were initially funded by the Canada Foundation for Innovation, Ontario Innovation Trust, and the Canada Research Chair Program. Additional equipment and regular maintenance of LIAM have also been supported by the Natural Sciences and Engineering Research Council of Canada and LIAM's industrial partners.
LIAM has been serving the educational and training needs in industrial and applied mathematics while fostering a research intensive environment in the research group directed by Dr. Jianhong Wu, a Canada Research Chair and University Distinguished Research Professor in Industrial and Applied Mathematics. LIAM aims to creating opportunities for computationally intensive projects and providing a locus around which industrial outreach is centered and built. LIAM welcomes interdisciplinary research opportunities as well as industrial collaboration and support for various projects in nonlinear dynamics and data analytics.
Prof Wu’s group seeks to provide mathematical modeling and analysis based insights to answer such questions as:
- How can we predict the long-term status of an ecosystem comprising interacting and competing species, which continue to move around in search of limited food and resources?
- What factors might lead to the extinction of, or to an infectious disease outbreak in, a particular species, and how human interventions and environmental changes alter these factors?
- How can neural networks - systems that work like a human brain, learning to "think" and to solve difficult problems based on previous experiences - be used in data mining applications, such as collecting and filtering through massive amounts of correlated information to find patterns?
LIAM’s scientific work, largely using delay differential equations and other infinite dimensional dynamical systems, aims to develop the theory and techniques of non-linear analysis and dynamical systems to resolve issues arising from “real-world” applications in ecology, epidemiology, data processing, and neural dynamics.
LIAM welcomes and creates opportunities for international, interdisciplinary and industrial collaborations through an integrated research-training-networking program.