University of Alberta

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...

The Alberta Mathematics Dialogue (AMD) emerged naturally from the Alberta Colleges Mathematics Conference (ACMC) and the North-South Dialogue (NSD). The first North-South Dialogue took place eighteen years ago, and 2019 will be the sixth Alberta...

Recent advances in condensed matter physics have ushered in a new era of cross-fertilization between mathematics and physics. The study of topological materials, a radically new class of quantum materials discovered in the mid-2000s and the subject...

Among modern numerical methods to solve the optimal transport problem, dynamical optimal transport (a.k.a. fluid dynamic formulation or Benamou-Brenier formulation) is one of the oldest: it consists in rewriting the problem in terms of convex...

Recently, the optimal transport distance, or so-called Wasserstein distance has been introduced to full waveform inversion to compute the misfit between two seismograms. This measure has great potential to account for time and space shifts of events...

The second-order centered (leapfrog) time-stepping scheme is commonly used in numerical models of weather and climate. The unstable computational mode is damped by applying a Robert–Asselin filter, which introduces first-order numerical errors...