Tuesday,
September 30, 12:00 p.m. ECG 317
Bruno Welfert
Dept. Math. & Stats
Stability of parallel stationary ADI splittings for the 1D diffusion
equation
Abstract
Several splittings of the standard three-point stencil second order finite
difference differentiation matrix are considered in the context of an
Alternate Direction Implicit iteration for the one-dimensional heat
equation. We first review several standard results on the unconditional
stability of the iteration. These results do not apply to several
splittings recently considered in the literature. In this case we present a
few
ad-hoc proofs involving a variety of ideas which may find broader practical
use.
For further information please contact:
mittelmann@asu.edu