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- Scientific Computing, Machine Learning and PDE
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Scientific Computing, Machine Learning and PDE
Our Research
丁香园AV has award-winning research faculty whose interests lie in the interplay between scientific computing, approximation theory, machine learning, the analysis of partial differential equations (PDE) and the mathematics of data. Some of today鈥檚 richest mathematical questions and most impactful algorithms arise in this vibrant field.
One of the largest such groups in Canada, our mathematics research includes: analysis of PDE and integral equations, PDEs on surfaces, spectral analysis, foundations of data science, mathematics of machine learning, numerical analysis, mathematical modelling, compressed sensing and sparse recovery. The models and applications we work on range from weather and climate, plasma physics, muscle mechanics, image and signal processing, graphics, optimal design and self-collective behaviour.
This is a fast-moving field, where advanced ideas from computing, machine learning and analysis enhance and inform our understanding of some of the gnarliest continuum models out there.
We haven鈥檛 met a challenging continuum model we鈥檙e afraid of, yet.
People
Faculty
Mathematics of Machine Learning, Mathematical Data Science, Numerical Analysis, Approximation Theory
Applied PDE Analysis, Self-Organizing Behaviour
Geophysical Fluid Dynamics, Asymptotic Methods
Numerical Analysis, Spectral Methods, Mathematical Biology
Scientific Computing, PDE's On Surfaces
Bio-Fluid Dynamics, Industrial Mathematics
Weiran Sun
Applied PDE Analysis, Kinetic Theory
Scientific Computing, Medical Imaging
Postdoctoral Fellows and Visitors
- Jane Shaw MacDonald
- Gregor Maier (visitor, Spring 2024)
- Christina Runkel (visitor, Fall 2024)
- Tareq Zaman
Graduate Students
- Behrad Ansariogholbeyk
- Grigory Devyatov
- Benjamin Ghertner
- Avi Gupta
- Zi Yuan Huang
- Yuxuan Mao
- Xuan Mei
- Harshil Pathak
- Hannah Potgieter
- Kshitij Patil
- Suki Shergill
- Matthew Spragge
- Shen-Yuan Tsao
- Daniel Venn
- Xuemeng Wang
- Chenzhijian Yan