Linear matrix equations with applications to the numerical solution of certain PDEs

  • Date:
  • Time: 14:00 - 15:30
  • Address:
    Sokolovská 83, Praha
  • Room: K3
  • Speaker: Davide Palitta

In the last years, it has been shown that the discretization of many partial differential equations (PDEs) can be recast in terms of a matrix equation which can indeed successfully replace its more common linear system formulation. We show that this is the case, for instance, for certain elliptic, parabolic, and hyperbolic PDEs. The matrix equation formulation of the discrete problem presents several computational advantages when compared to its linear system counterpart. In this seminar we are going to present these peculiar features and overview state-of-the-art solvers for such algebraic problems for both the small-case and large-scale settings.