Simon Fraser University

A wide variety of physical and biological systems can be described as continuum limits of interacting particles. Many of these problems are gradient flows and their dynamics are governed by a monotonically decreasing interaction energy that is often...

I am working with colleagues on several projects modelling Lithium Ion batteries. Experimental results are fit to simple models of performance and ``State of Health”, a vaguely defined measure of the change of battery characteristics with use and age...

We characterize the intrinsic complexity of a set S in a metric space W by the least dimension N (epsilon) of a linear space V ⊂ W that can approximate S to an epsilon error. We show a scaling law for N (epsilon) for high frequency wave fields in...

A wide variety of physical and biological systems can be described as continuum limits of interacting particles. Many of these problems are gradient flows and their dynamics are governed by a monotonically decreasing interaction energy that is often...

We will discuss properties of solutions to aggregation-diffusion models appearing in many biological models such as cell adhesion, organogenesis and pattern formation. We will concentrate on typical behaviours encountered in systems of these equations...

In many engineering applications governed by PDEs, the parameters of the equations (coefficients, forcing terms, boundary and initial conditions, shape of the domain) are not known exactly but rather affected by a certain degree of uncertainties, and...

In the Kirchoff-Love theory, the vertical displacement of a homogeneous, thin clamped plate under pure bending satisfies the biharmonic equation in a two dimensional domain with Dirichlet boundary conditions (the value and normal derivative are...

Introduction to the block element method, a new mathematical method based on high-level mathematics. The method is applicable to boundary value problems for partial differential equations and their systems. The method includes a number of other...

Einsteins theory of General Relativity (GR) works remarkably well on Earth and inside our Solar System. However, there remain significant gaps in our understanding of gravity. One is the long- standing quest for a quantum theory of gravity. The other...

A wide overview of mathematical techniques of interest in various big data problems. Organizers: Cedric Chauve, Mathematics - SFU Tamon Stephen, Mathematics - SFU