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

article

2011Basel, 2011

Mathematics

Journal of evolution equations. - Basel

11(2011):2, p. 477-483

1424-3199

E

English (eng)

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.

https://repository.uantwerpen.be/docman/iruaauth/14a4c2/ebf81fea27d.pdf