Braxton Osting

Braxton Osting is interested in using analytical and computational methods to study mathematical models of wave phenomena in media where inhomogeneity, nonlinearity, dispersion, or geometry effect propagation. He is particularly interested is the strategy of using such a model together with an efficient optimization method to design the media to control some aspect of the wave propagation for novel application. Specific research projects (past and ongoing) include

• partial differential equation (PDE) constrained optimization,
• control of coherent structures in optics and quantum physics,
• inverse problems involving shape determination,
• analysis of eigenvalues,
• scientific computing and parallel algorithms, and
• diffraction and scattering in discrete media.