I'm trying to determine the region of stability for the Heun method and whether it is A stable. I've looked at the examples on wiki here Stiff equation - Wikipedia, the free encyclopedia and Runge here. By plugging in the test equation y' = zy where k is complex I've simplified the Heun algorithm from
then when I insert
, my result simplifies to
to judge from the wiki article, the stability region is then the area described by
Am I on the right path at all? How does this relate to A stability? Appreciate any help.