pymordemos.unstable_heat

Module Contents

pymordemos.unstable_heat.main(l: float = Argument(50, help='Parameter for instability.'), r: int = Argument(10, help='Order of the ROMs.'))[source]

1D unstable heat equation demo.

Discretization of the PDE:

tT(ξ,t)=ξξT(ξ,t)+λT(ξ,t),0<ξ<1, t>0,ξT(0,t)=T(0,t)+u(t),t>0,ξT(1,t)=T(1,t),t>0,y(t)=T(1,t),t>0