Senior Lecturer in Mathematics, University of Dundee
Solver for the Alber equation (von Neumann equation with singular self-interaction), implementing relaxation-Crank-Nicolson in time, and fourth order FD in space.
Checks the Penrose stability condition for the Alber equation with a given spectrum. References and demos included.
Adaptive spectral approximation of the continuous Hilbert transform via Weideman's rational eigenfunction expansion.