A Time-Splitting for the Semiclassical Schrödinger Equation
dc.contributor.author
Gradinaru, Vasile
dc.contributor.author
Hagedorn, George
dc.date.accessioned
2022-08-26T07:39:16Z
dc.date.available
2021-05-07T08:16:20Z
dc.date.available
2021-05-07T08:19:05Z
dc.date.available
2022-08-26T07:30:42Z
dc.date.available
2022-08-26T07:39:16Z
dc.date.issued
2012-07
dc.identifier.uri
http://hdl.handle.net/20.500.11850/483000
dc.description.abstract
We propose a new algorithm for solving the semiclassical time–dependent Schr¨odinger equation. The algorithm is based on semiclassical wavepackets. Convergence is proved to be quadratic in the time step and linear in the semiclassical parameter !. To the the authors’ best knowledge, all earlier algorithms had errors that grew as the semiclassical parameter was decreased.
en_US
dc.language.iso
en
en_US
dc.publisher
Seminar for Applied Mathematics, ETH Zurich
en_US
dc.title
A Time-Splitting for the Semiclassical Schrödinger Equation
en_US
dc.type
Report
ethz.journal.title
SAM Research Report
ethz.journal.volume
2012-15
en_US
ethz.size
23 p.
en_US
ethz.publication.place
Zurich
en_US
ethz.publication.status
published
en_US
ethz.leitzahl
ETH Zürich::00002 - ETH Zürich::00012 - Lehre und Forschung::00007 - Departemente::02000 - Dep. Mathematik / Dep. of Mathematics::02501 - Seminar für Angewandte Mathematik / Seminar for Applied Mathematics::03632 - Hiptmair, Ralf / Hiptmair, Ralf
en_US
ethz.leitzahl.certified
ETH Zürich::00002 - ETH Zürich::00012 - Lehre und Forschung::00007 - Departemente::02000 - Dep. Mathematik / Dep. of Mathematics::02501 - Seminar für Angewandte Mathematik / Seminar for Applied Mathematics::03632 - Hiptmair, Ralf / Hiptmair, Ralf
ethz.identifier.url
https://math.ethz.ch/sam/research/reports.html?id=458
ethz.date.deposited
2017-06-10T12:16:35Z
ethz.source
ECIT
ethz.identifier.importid
imp593651761591297627
ethz.identifier.importid
imp5936502b0fd6260095
ethz.ecitpid
pub:123037
ethz.ecitpid
pub:97221
ethz.eth
yes
en_US
ethz.availability
Metadata only
en_US
ethz.rosetta.installDate
2021-05-07T08:16:29Z
ethz.rosetta.lastUpdated
2023-02-07T05:45:30Z
ethz.rosetta.versionExported
true
dc.identifier.olduri
http://hdl.handle.net/20.500.11850/78108
dc.identifier.olduri
http://hdl.handle.net/20.500.11850/60890
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