Numerical methods for time-periodic solutions of nonlinear parabolic boundary value problems (Q2719228)

The author proposes numerical methods for finding periodic solutions of periodically forced convection-diffusion equations. In particular, the initial conditions are unknown. The algorithms are based on a backward Euler method using the computed solution from the previous period. It is shown that an initial upper solution produces iterates which are all upper solutions, and similarly with lower solutions, and this proves convergence of the methods.