Professsor Ziad Musslimani's research is dedicated to the study of linear and nonlinear wave propagation in dispersive media, with a specific emphasis on the formation of coherent structures in nonlinear optical media and Bose-Einstein condensation. He holds the position of Director of Applied and Computational Mathematics at Florida State University and is also the recipient of the Christopher Hunter Professorship of Mathematics.

Abstract: In this talk we shall outline a new method to solve initial and boundary value problems of physical relevance. The idea is to use the underlying physics (such as conservation laws or dissipation rate equations) combined with a dynamic renormalization process to numerically compute ground and excited states as well as time-dependent solutions. We will apply the method on prototypical problems that arise in physics such as Gross-Pitaevskii and Hartree-Fock equations.