Brittany Leathers.

My research interests reside in the field of numerical methods for the solution of partial differential equations (PDEs). My current research has involved the development of a new numerical scheme for solving PDEs on complex geometries. This new method is based on the Immersed Boundary framework, but it has been reformulated using insights gained from boundary integral equation methods. This new reformulation has better conditioning, allowing much more efficient soution of the PDE. It therefore has the potential to be used in moving and 3-D problems without the need for preconditioners. For more information about the advantages of this method and my current and future research, please see my research statement.