Bifurcations of Finite Difference Schemes and their Approximate Inertial Forms



In this paper, we show that the bifurcation diagrams of finite difference semidiscretizations of certain dissipative parabolic partial differential equations can be well approximated by their approximate inertial forms (AIFs) when a set of second-order, L2-orthogonal incremental unknowns is used.


Min Chen (chen@math.purdue.edu)