From Carolina Center for Interdisciplinary Applied Mathematics
Below are some of my current and past collaborators.
- I have an NSF sponsored Focused Research Group at UNC.
- I am collaborating on higher-order adaptive numerical methods for incompressible and zero-Mach number flows with John Bell and Ann Almgren.
- I spent my Alexander von Humboldt Fellowship in Berlin working with Rupert Klein on developing higher order accurate numerical method for low-Mach number flows.
- My former student Liz Bouzarth is now a post-doc and Duke and still works with me on Regularized Stokeslet methods for modeling filaments in Stokes flow.
- After two years as my post-doc at UNC, Anita Layton moved up the road to Duke where she is currently an Assistant Professor in the Math Department. We work together on Multi-Implicit Spectral Deferred Correction for time integration of ODEs and PDEs.
- Anne Bourlioux was a co-developer with Anita Layton and me of the multi-implicit spectral deferred corrections method.
- I have been developing a new class of method for Stochastic Differential Equations with Jonathan Mattingly at Duke.
- Ricardo Cortez and I have been working together since we were graduate students - mostly on modeling elastic membranes moving in incompressible fluids.
- I worked on integral equation methods for the "square root" of the Laplacian with Leslie Greengard.
- David Brown was my summer graduate student mentor at Los Alamos and coauthor on two papers concerning spurious vortices before moving to Livermore and eventually becoming Research Program Manager for Office of Science projects in the Center for Applied Scientific Computing (CASC).
- My UNC colleague Jingfang Huang and I have recently written two papers about accelerated deferred correction methods for ODEs and DAEs.
- A long time ago, Michael Shelly and I made an interesting discovery.
