Jason will describe his latest research on efficiently computing Green's functions.
Title:Low rank compression in the solution of the nonequilibrium Dyson equation
Abstract: Will discuss an efficient algorithm for the numerical solution of a nonlinear Volterra integro-differential equation that arises in Green’s function methods for quantum many-body physics. I will discuss the problem of history dependence in Volterra integral equations, and describe a generic technique to accelerate the evaluation of the history integrals which does not make use of a specific analytical form of the history kernel. In our specific case, the algorithm will make use of hierarchical low rank matrix compression techniques, which I will cover as well.