
Dr Wayne Hayes
Fri Jan 30, 2004
4:00 pm

Prof. John Lowengrub
Mon Jan 26, 2004
4:00 pm
In this talk, we demonstrate the existence of noncircular shapeinvariant (selfsimilar) growing and melting two dimensional crystals. This work is motivated by the recent three dimensional studies of Cristini and Lowengrub in which the existence of selfsimilar shapes was suggested using linear analysis and dynamical numerical simulations. Here...

Prof. Michael Ghil
Fri Jan 23, 2004
4:00 pm
The largescale flow of the midlatitude atmosphere and oceans is governed by systems of PDEs that approximate the Euler and NavierStokes equations in the presence of rotation and stratification. These PDEs include the quasigeostrophic and shallowwater equations in two and three dimensions (2D and 3D), as well as the socalled primitive...

Prof. ChiWang Shu
Mon Jan 12, 2004
4:00 pm
In this talk we will discuss the recent development of locally divergencefree discontinuous Galerkin methods for solving Maxwell equations and ideal magnetohydrodynamics (MHD) equations. The distinctive feature of such methods is the use of approximate solutions that are exactly divergencefree inside each element for the part of the solution...

Prof. James Lamberts
Mon Dec 8, 2003
4:00 pm
The design and analyis of numerical methods for the solution of PDE of the form du/dt + Lu = 0, where L is a constantcoefficient differential operator, is greatly simplified by the fact that, for many methods, a closedform representation of the computed solution as a function of (x,t) is readily available. This is due in large part to the fact...

Prof. Afina Lupulescu
Mon Dec 1, 2003
4:00 pm
Dendrites (treelike crystals) have a profound influence upon the engineering properties of metals, including the material's mechanical, chemical, and electrical responses. The MullinsSekerka shape instability provides the fundamental cause for the formation of highly complex, dendritic shapes observed in both natural freezing processes, and in...

Prof. Guillaume Bal
Mon Nov 24, 2003
4:00 pm
We consider the inversion of the twodimensional attenuated Radon transform (AtRT) from full or partial measurements. The AtRT is routinely inverted in SPECT (Single Photon Emission Computed Tomography), a popular medical imaging technique. We show that two spatially independent source terms can be reconstructed from the AtRT. This is based on an...