  This technical note is concerned with aeroelastic flutter problems: the
analysis of aeroelastic systems undergoing airspeed-dependent dynamic
instability. Existing continuation methods for parametric stability analysis
are based on marching along an airspeed parameter until the flutter point is
found - an approach which may waste computational effort on low-airspeed system
behavior, before a flutter point is located and characterized. Here, we
describe a pseudospectral continuation approach which instead marches outwards
from the system's flutter points, from points of instability to points of
increasing damping, allowing efficient characterization of the subcritical and
supercritical behavior of the system. This approach ties together aeroelastic
stability analysis and abstract linear algebra, and provides efficient methods
for computing practical aeroelastic stability properties - for instance, flight
envelopes based on maximum modal damping, and the location of borderline-stable
zones.
