Date
2002
Dewey
Sciences connexes
Sujet
time parallelization; Parareal Scheme; Quantum Control
Conference name
41st IEEE conference on decision and control
Conference date
12-2002
Conference city
Las Vegas
Conference country
États-Unis
Book title
41st IEEE conference on decision and control: proceedings
Author
IEEE Control Systems Society
Publisher
Omnipress
Publisher city
Piscataway (NJ)
Year
2002
ISBN
0-7803-7517-3
Author
Maday, Yvon
Turinici, Gabriel
Type
Communication / Conférence
Item number of pages
62-66
Abstract (EN)
The numerical studies of control problems in quantum chemistry go through the computer simulation of the dynamical phenomena involved. These simulations are in many cases too expensive to be carried out for complex systems, precluding thus treatment of interesting practical situations. In a context of fast increasing in both the CPU power available on typical workstations and of 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 becomes to exceed the needs). In this context, the "parareal" time algorithm that parallelize in the time direction the effort required to solve evolution equations has been introduced in previous works. The theoretical modifications required in order to apply this algorithm to quantum control problems together with numerical evidence is the main topic of this paper.