Publication
Title
On the Crank-Nicolson scheme once again
Author
Abstract
 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 paper, it is proved that the CrankNicolson scheme is stable in the sense that supnNAnx . Some convergence results are also given.
Language
Dutch
Source (journal)
Journal of evolution equations. - Basel
Publication
Basel : 2011
ISSN
1424-3199
Volume/pages
11 :2 (2011) , p. 457-476
ISI
000290729500009
Full text (Publisher's DOI)
UAntwerpen
 Faculty/Department Research group Publication type Subject Affiliation Publications with a UAntwerp address