Dante Kalise

Parallel-in-Time Preconditioning for Time-Dependent Variational Mean Field Games

Abstract We study the numerical approximation of a time-dependent variational mean field game system with local couplings and either periodic or Neumann boundary conditions. Following a variational approach, we employ a finite-difference discretization and solve the resulting fin...

Linearization-Based Feedback Stabilization of McKean−Vlasov PDEs

Abstract. We develop a feedback control framework for stabilizing the McKean–Vlasov PDE on the torus. Our goal is to steer the dynamics toward a prescribed stationary distribution or accelerate convergence to it using a time-dependent control potential. We reformulate the control...