Erratum to : On the CrankNicolson scheme once againErratum to : On the CrankNicolson scheme once again
Faculty of Sciences. Mathematics and Computer Science
Analytical and topological structures
Journal of evolution equations. - Basel
11(2011):2, p. 477-483
University of Antwerp
Let jjN be a sequence of strictly positive real numbers, and let A be the generator of a bounded analytic semigroup in a Banach space X. Put An=nj=1I+21jAI−21jA−1 , and let xX. Define the sequence xnnNX by the CrankNicolson scheme: x n = A n x. In this erratum, it is proved that the CrankNicolson scheme is stable in the sense that supnNAnx provided that inequality (0.9) below holds.