Arthur F Thurnau Professor and Professor of Mathematics, College of Literature, Science, and the Arts
Literature, Science, & Arts » Mathematics
I work in applied math and scientific computing. My group develops numerical methods to solve differential and integral equations in fluid dynamics and molecular dynamics. In fluid dynamics we use Lagrangian particle methods to study vortex sheets and vortex rings. A recent project concerns the barotropic vorticity equation on a rotating sphere for geophysical flow applications. In molecular dynamics we use Cartesian treecodes to compute long-range electrostatic interactions. A recent project concerns the Poisson-Boltzmann implicit solvent model for proteins in ionic solvent. Another recent interest is computing bound state energy levels of the Schrodinger equation using integral equation based methods.