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)