PIMS - SFU Applied & Computational Mathematics Seminar: Sara Pollock

We will disucss some recent advances in the convergence of Anderson acceleration, an extrapolation technique that can be applied to general fixed-point iterations. The theory will be illustrated on some examples of systems arising from finite element discretizations of nonlinear PDE. We will also discuss some recent results in accelerating convergence in degenerate problems, those whose Jacobains are singular at a solution.