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Project Leader(s): 

Postdoctoral fellow: Dr. Xiaodong Wang, Institute for Aerospace Studies, University of Toronto

Lead faculty member: Dr. David Zingg, Institute for Aerospace Studies, University of Toronto

Modern engineering designs require fast and high credible scientific computations which usually run in a parallel way. The proposed research focuses on the development of the parallel preconditioning technology used in large scale scientific computations. A multi-level recursive strategy is developed to improve the parallel computing performance when a large number of processors (up to at least 5000) are used. An existing Newton-Krylov flow solver will be improved by coupling with this multi-level preconditioner.

Project Leader(s): 

Postdoctoral fellow: Dr. Rong Xiao, Computer Science, University of Western Ontario

Lead faculty member: Dr. Marc Moreno Maza, Computer Science, University of Western Ontario

Non-academic participants: 

The theoretical and practical aspects of manipulating mathematical expressions on computers are usually referred to as computer algebra or symbolic computation. In this field, calculations are designed to yield exact and complete results, by opposition to numerical analysis which is meant to handle approximate values, potentially producing incomplete results. Exactness and completeness have some significant computational overhead. Computer algebra software is highly demanding in CPU time and memory.

Project Leader(s): 

Dr. Michael Monagan, Simon Fraser University & Dr. George Labahn, University of Waterloo

Project team: 
Dr. Jonathan Borwein, Dalhousie University
Dr. Peter Borwein, Simon Fraser University
Dr. Petr Lisonek, Simon Fraser University
Dr. Marni Mishna, Simon Fraser University
Dr. Mark Giesbrecht, University of Waterloo
Dr. Arne Storjohann, University of Waterloo
Dr. Rob Corless, University of Western Ontario
Dr. David Jeffrey, University of Western Ontario
Dr. Marc Moreno Maza, University of Western Ontario
Dr. Greg Reid, University of Western Ontario
Dr. Eric Schost, University of Western Ontario
Dr. Stephen Watt, University of Western Ontario
Dr. Jacques Carette, McMaster University
Dr. Howard Cheng, University of Lethbridge
Dr. Wayne Eberly, University of Calgary
Non-academic participants: 
Funding period: 
February 25, 2022 - March 31, 2021

Computer algebra systems such as Maple compute using mathematical formulae as well as numbers, mechanizing the mathematics used in education and research labs. This project focuses on the design and implementation of algorithms for these systems. Emphasis is placed on efficiency that allows large and complex problems of the type encountered in industrial settings to be solved. In the past year the team has made major advances in the core tools that are needed to solve these complex problems.

Project Leader(s): 

Dr. Anthony Vannelli, University of Guelph & Dr. Miguel F, AnjosEcole Polytechnique

Project team: 
Dr. Abdo Youssef Alfakih, University of Windsor
Dr. Kankar Bhattacharya, University of Waterloo
Dr. Claudio A. Canizares, University of Waterloo
Dr. Richard J. Caron, University of Windsor
Dr. Thomas Coleman, University of Waterloo
Dr. Tim N. Davidson, McMaster University
Dr. Antoine Deza, McMaster University
Dr. Samir Elhedhli, University of Waterloo
Dr. David Fuller, University of Waterloo
Dr. Elizabeth Jewkes, University of Waterloo
Dr. Paul McNicholas, University of Guelph
Dr. Chitra Rangan, University of Windsor
Dr. Tamás Terlaky, Lehigh University
Dr. Stephen Vavasis, University of Waterloo
Dr. Henry Wolkowicz, University of Waterloo
Dr. Guoqing Zhang, University of Windsor
Funding period: 
April 1, 2021 - March 31, 2021

Due to the explosive growth in the technology for manufacturing integrated circuits, modern chips contain millions of transistors. Using sophisticated optimization algorithms, it is possible to achieve notable increases in the performance of the chips, reduce the manufacturing costs, and produce faster, cheaper computing for society. Thus, the objective of this project is to enhance the solution of large-scale optimization problems arising in these applications.

Project Leader(s): 

Dr. Hermann Eberl, University of Guelph and Dr. John Stockie, Simon Fraser University

Project team: 
Dr. John R Dutcher, University of Guelph
Dr. Ian Frigaard, University of British Columbia
Dr. Nilima Nigam, Simon Fraser University
Dr. David Pink, St. Francis Xavier University
Dr. Gideon Wolfaardt, Ryerson University
Funding period: 
October 1, 2021 - March 31, 2021

Bacterial biofilms are microbial depositions on immersed surfaces and are ubiquitous in natural and engineered environments. For example, they play a significant role in medical applications where they can grow on artificial implants and cause infections; they form dental plaques and contribute to tooth decay; they can be utilized to assist in clean-up of contaminated soils or groundwater aquifers; they accelerate corrosion of metal surfaces; and they are a main culprit behind contamination of drinking water systems and food processing equipment.