Crank-Nicolson scheme for abstract linear systems


Piskarev, S. and Zwart, H.J. (2007) Crank-Nicolson scheme for abstract linear systems. Numerical Functional Analysis and Optimization, 28 (5&6). pp. 717-736. ISSN 0163-0563

[img] PDF
Restricted to UT campus only
: Request a copy
Abstract:This paper studies the Crank-Nicolson discretization scheme for abstract differential equations on a general Banach space. We show that a time varying discretization of a bounded analytic $C_0$-semigroups leads to a bounded discrete-time system. On Hilbert spaces this result can be extended to all bounded $C_0$-semigroups for which the inverse generator generates a bounded $C_0$-semigroup. The presentation is based on $C_0$-semigroup theory and uses a functional analysis approach.
Item Type:Article
Electrical Engineering, Mathematics and Computer Science (EEMCS)
Research Group:
Link to this item:
Official URL:
Export this item as:BibTeX
HTML Citation
Reference Manager


Repository Staff Only: item control page

Metis ID: 241852