University of Alberta

It is well-known that there exist many problems in numerical computation for three-dimensional nonlinear partial differential equations. For example, in solving 3D Navier-Stokes equations numerically, we need to consider the following difficulties:1...

Given a Calabi-Yau complete intersection in a toric Fano variety, there are various ways to construct the mirror. Sometimes these mirrors are isomorphic and sometimes they are not. These distinct 'double' mirrors should be equivalent in some way if...

I will discuss the relationship between degenerations of Fano varieties to toric varieties and expressions for their mirror Landau-Ginzburg models as Laurent polynomials. I will present some recent results that make this relationship precise in the...

We present a technique called M-adaptation, based on the mimetic finite difference method, for minimizing numerical dispersion error in edge discretizations of the time-domain vector wave equation on square meshes. The temporal discretization uses...

The first part of the summer school takes place parallel to the CAIMS Annual Meeting. The summer school is followed by the Sixth International IMS-FIPS Workshop, which takes place July 7-9, also at the University of Alberta in Edmonton.

We derive boundary conditions for the vorticity equation with solid wall boundaries. The formulation uses a Dirichlet condition for the normal component of vorticity, and Neumann type conditions for the tangential components. In a Galerkin (integral)...

The lecture deals with the homogenization of strongly heterogeneous elastic plates satisfying the Reissner-Mindlin or the Kirchhoff-Love hypotheses. We rigorously justify the limit models obtained by the asymptotic analysis which describe the...

The purpose of this summer school is to focus on the interplay of dynamical and biological systems, developing the rich connectionbetween science and mathematics that has been so successful to date. Our focus will be on understanding the mathematical...

Separating the configuration and velocity measurements was pioneered by Euler in 1750s in his study of the dynamics of rigid body and fluid. This use of ‘nonmaterial velocity’ influenced greatly the development of mechanics. In 1904, Hamel extended...