University of Alberta

When a sequence of numbers is slowly converging and when it is impossible to have access to the process producing it, it can be transformed, by a sequence transformation, into a new sequence which, under some assumptions, converges faster to the same...

For a domain X with a probability measure pX, consider reconstruction of an unknown function f using discrete least squares approximation from a linear space Vm of dimension m constructed from values f(xi), where xi are randomly drawn from X w.r.t....

The traditional modelling with partial differential equations has often ignored the stochastic nature of the underlying biological processes, and focussed on the deterministic description. This has led to significant results and has helped to grow...

Thanks to the advancement of modern technology in acquiring data, massive data with diverse features and big volume are becoming more accessible than ever. The impact of big data is significant. While the abundant volume of data presents great...

I will present nonlinear dynamics for distributed decision-making that derive from principles of symmetry and bifurcation. Inspired by studies of animal groups, including house-hunting honeybees and schooling fish, the nonlinear dynamics describe a...

In this talk I will present some of the work done by my group on ion transport. The first part is on the analysis and computation of the Poisson-Nernst-Planck (PNP) model. We show that under normal physiological conditions, the PNP system can be...

The goal of this conference is to drastically rethink the first-year university mathematics curriculum. What skills and knowledge do we want students to develop and gain in mathematics courses? What pedagogical methods are most effective? How can we...

Parkinson’s disease is a debilitating condition causing highly disruptive motor complications. Although this condition has long been recognized and treated medically, many aspects of the disease and its treatment are not well understood. In fact...

We propose, analyze and test Anderson-accelerated Picard iterations for solving the incompressible Navier-Stokes equations (NSE). Anderson acceleration has recently gained interest as a strategy to accelerate linear and nonlinear iterations, based on...

Ordinal outcomes are common in scientific research and everyday practice, and we often rely on regression models to make inference. A long-standing problem with such regression analyses is the lack of effective diagnostic tools for validating model...