
Albert Chern
Mon Apr 4, 2016
4:00 pm
Simulation of incompressible fluids is widely used for studies of fluid mechanics and for visual effects in computer graphics. One major challenge is to capture dynamics of thin vortices in finite grid resolution. We describe a new approach to the simulation of incompressible fluids in 3D. In it, the fluid state is represented by complexvalued...

Shidong Jiang
Mon Mar 28, 2016
4:00 pm
We present a second kind integral equation (SKIE) formulation
for calculating the electromagnetic modes of optical waveguides,
where the unknowns are only on material interfaces. The resulting numerical
algorithm can handle optical waveguides with a large number of inclusions of
arbitrary irregular cross section. It is capable of finding the...

Cheng Wang
Tue Mar 15, 2016
3:00 pm
A second order energy stable numerical scheme is presented for the two and three dimensional CahnHilliard equation, with Fourier pseudospectral approximation in space. The convex splitting nature assures its unique solvability and unconditional energy stability. Meanwhile, the implicit treatment of the nonlinear term makes a direct nonlinear...

Richard Peng
Mon Mar 14, 2016
4:00 pm
We introduce the sparsified Cholesky and sparsified multigrid
algorithms for solving systems of linear equations. These algorithms
accelerate Gaussian elimination by sparsifying the nonzero matrix
entries created by the elimination process.
We use these new algorithms to derive the first nearly linear time
algorithms for solving systems of...

Oleg Igoshin
Mon Feb 29, 2016
4:00 pm
Gene regulatory networks controlling cellular differentiation must sense changes in environmental conditions and coordinate gene expression with celldivision cycles. However, the mechanisms of sensing and integrating different signals remain elusive even for the best studied model systems. Here we uncover a simple solution to this complicated...

Carlos PerezArancibia
Mon Feb 22, 2016
4:00 pm
In this talk we present a novel boundary integral equation method for the numerical solution of problems of scattering by obstacles and defects in the presence of layered media. This new approach, that we refer to as the windowed Green function method (WGFM), is based on use of smooth windowing functions and integral kernels that can be expressed...

Robert Guy
Mon Feb 8, 2016
4:00 pm
Low Reynolds number swimming of microorganisms in Newtonian fluids is an extensively studied classical problem. However, many biological fluids such as mucus are mixtures of water and polymers and are more appropriately described as viscoelastic fluids. Recently, there have been many studies on locomotion in complex...