• xmlui.mirage2.page-structure.header.title
    • français
    • English
  • Help
  • Login
  • Language 
    • Français
    • English
View Item 
  •   BIRD Home
  • CEREMADE (UMR CNRS 7534)
  • CEREMADE : Publications
  • View Item
  •   BIRD Home
  • CEREMADE (UMR CNRS 7534)
  • CEREMADE : Publications
  • View Item
JavaScript is disabled for your browser. Some features of this site may not work without it.

Browse

BIRDResearch centres & CollectionsBy Issue DateAuthorsTitlesTypeThis CollectionBy Issue DateAuthorsTitlesType

My Account

LoginRegister

Statistics

Most Popular ItemsStatistics by CountryMost Popular Authors
Thumbnail - Request a copy

Parallel in time algorithms for quantum control: the parareal time discretization scheme

Maday, Yvon; Turinici, Gabriel (2003), Parallel in time algorithms for quantum control: the parareal time discretization scheme, International Journal of Quantum Chemistry, 93, 3, p. 223--228. 10.1002/qua.10554

Type
Article accepté pour publication ou publié
Date
2003
Journal name
International Journal of Quantum Chemistry
Volume
93
Number
3
Publisher
Wiley
Pages
223--228
Publication identifier
10.1002/qua.10554
Metadata
Show full item record
Author(s)
Maday, Yvon
Laboratoire Jacques-Louis Lions [LJLL]
Division of Applied Mathematics [DAM]
Turinici, Gabriel cc
CEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
Abstract (EN)
The numerical study of control problems in quantum chemistry requires many computer simulations of the dynamic phenomena involved. These simulations are, in many cases, too expensive to be carried out for complex systems, thus precluding the treatment of interesting practical situations. In a context of fast increasing in both the CPU power available on typical workstations and the number of computers that can be connected through high-speed networks, the difficulty lies rather in how to obtain real-time solutions" than in the amount of CPU power available (which begins to exceed the needs). In this context, the "parareal" time algorithm that parallelizes in the time direction the work required to solve the evolution equations has been introduced in previous works (Lions, J.-L.; Maday, Y.; Turinici, G. CR Acad Sci Paris I Math 2001, 332(7), 661-668; Bal, G.; Maday, Y. In: Proceedings of the Workshop on Domain Decomposition, LNCSE Series; Springer-Verlag: Berlin, 2001, 189-202). The theoretical modifications required to apply this algorithm to control problems and more specifically to the problems of quantum control are the main topic of this article. The preliminary results that are presented at the end of the article illustrate the feasibility of the approach and the potential for large time savings."
Subjects / Keywords
quantum control

Related items

Showing items related by title and author.

  • Thumbnail
    A parallel in time approach for quantum control: the parareal algorithm 
    Maday, Yvon; Turinici, Gabriel (2002) Communication / Conférence
  • Thumbnail
    Parareal in time control for quantum systems 
    Salomon, Julien; Maday, Yvon; Turinici, Gabriel (2007) Article accepté pour publication ou publié
  • Thumbnail
    The Parareal in Time Iterative Solver: a Further Direction to Parallel Implementation 
    Maday, Yvon; Turinici, Gabriel (2005) Chapitre d'ouvrage
  • Thumbnail
    Monotonic Parareal Control for Quantum Systems 
    Maday, Yvon; Salomon, Julien; Turinici, Gabriel (2007) Article accepté pour publication ou publié
  • Thumbnail
    Discretely monotonically convergent algorithms in quantum control 
    Turinici, Gabriel; Salomon, Julien; Maday, Yvon (2003) Communication / Conférence
Dauphine PSL Bibliothèque logo
Place du Maréchal de Lattre de Tassigny 75775 Paris Cedex 16
Phone: 01 44 05 40 94
Contact
Dauphine PSL logoEQUIS logoCreative Commons logo