University of Alberta

Abstract The three subjects mentioned in the title may appear to be totally unrelated. But they are now beautifully connected in some recent investigations on the asymptotic behavior or orthogonal polynomials. In this lecture, I will illustrate this...

Abstract: Tree aspect ratios have been show to be of significance in field ecology and plant allometry. An understanding of why it is imperative for a particular species of trees to grow the way it does, is warranted. We suggest a model that ascribes...

Abstract Many natural populations exhibit cyclic fluctuations. Explaining the underlying mechanisms of such cycles is a central problem in ecology and has preoccupied population ecologists ever since Elton’s classical work in 1924. Over the years, a...

Abstract: In many applications it is assumed that the modeling system is governed by a principle of causality: the present state is independent of the past. However, in many situations, a more realistic model should incorporate some of the past...

The summer school is intended for senior undergraduates, Masters students and starting PhD students having a strong background in mathematics, physics and/or engineering. No prior knowledge of fluid dynamics is necessary. However, the students should...

Abstract:To fit a model of a process described by a system of Partial Differential Algebraic Equations to a given set of experimental data we have to solve constrained, nonlinear parameter estimation problems. Since the data usually contains...

Abstract: After a discussion of what we mean by a fluid and how we model them, I will discuss the status of the Navier-Stokes fluid, its inadequacies in describing certain phenomena exhibited by many polymeric, biological and geological fluids and...

Abstract: In the third lectre, I will briefly show how to do Matlab programming for FDEs, and present a case study - cyclic population dynamics and impacts of global climate change.

Abstract Optimal transport is the problem of transporting one distribution of mass to another as efficiently as possible, where efficiency is measured relative to a prescribed cost function. Originally posed by Gaspard Monge in 1781, this natural...

Population viability analysis (PVA) entails calculation of extinction risk, as defined by various extinction metrics, for a study population. These calculations strongly depend on the form of the population growth model and inclusion of demographic...