Thumbnail - No thumbnail

Convergence of the time-discretized monotonic schemes

Salomon, Julien (2007), Convergence of the time-discretized monotonic schemes, Mathematical Modelling and Numerical Analysis, 41, 1, p. 77-93. http://dx.doi.org/10.1051/m2an:2007008

Type
Article accepté pour publication ou publié
External document link
http://hal.archives-ouvertes.fr/hal-00365013/en/
Date
2007
Journal name
Mathematical Modelling and Numerical Analysis
Volume
41
Number
1
Publisher
EDP Sciences
Pages
77-93
Publication identifier
Metadata
Show full item record
Author(s)
Salomon, Julien
Abstract (EN)
Many numerical simulations in (bilinear) quantum control use the monotonically conver- gent Krotov algorithms (introduced by Tannor), Zhu & Rabitz or their unified form. A time discretization which preserves the propriety of monotonicity has been presented. This paper introduces a proof of the convergence of these schemes and some results regarding their rate of convergence.
Subjects / Keywords
Optimization and control