Stability: CFL and von Neumann#
Why explicit schemes need small time steps: the Courant-Friedrichs-Lewy condition, von Neumann’s Fourier-mode analysis, and the Lax equivalence theorem.
Von Neumann stability analysis: one Fourier mode at a time
Von Neumann stability analysis: one Fourier mode at a time
The Lax equivalence theorem: consistency + stability = convergence
The Lax equivalence theorem: consistency + stability = convergence