Development of level set methods for computing the semiclassical limit of Schrödinger equations with potentials

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dc.contributor.advisor Hailiang Liu
dc.contributor.advisor Lisheng Hou
dc.contributor.advisor Paul Sacks
dc.contributor.author Wang, Zhongming
dc.contributor.department Mathematics
dc.date 2018-08-22T14:44:43.000
dc.date.accessioned 2020-06-30T07:47:55Z
dc.date.available 2020-06-30T07:47:55Z
dc.date.copyright Tue Jan 01 00:00:00 UTC 2008
dc.date.issued 2008-01-01
dc.description.abstract <p>In this thesis, several level set methods are developed and analyzed for computing multi-valued solutions to the semiclassical limits of Schroedinger equations. Both formulation and numerical results are obtained for level set method. Superposition is also proved via let set method setting. Meanwhile, multi-valued solutions of the Euler-Poisson equations are also analyzed and computed using level set formulation via field space. Multi-scale computation and homogenization are studied for a class of Schroedinger equations. A Bloch band based level set method is developed with a series of numerical examples.</p>
dc.format.mimetype application/pdf
dc.identifier archive/lib.dr.iastate.edu/rtd/15879/
dc.identifier.articleid 16878
dc.identifier.contextkey 7051234
dc.identifier.doi https://doi.org/10.31274/rtd-180813-17080
dc.identifier.s3bucket isulib-bepress-aws-west
dc.identifier.submissionpath rtd/15879
dc.identifier.uri https://dr.lib.iastate.edu/handle/20.500.12876/69555
dc.language.iso en
dc.source.bitstream archive/lib.dr.iastate.edu/rtd/15879/3307047.PDF|||Fri Jan 14 20:47:50 UTC 2022
dc.subject.disciplines Mathematics
dc.subject.keywords Mathematics;Applied mathematics;
dc.title Development of level set methods for computing the semiclassical limit of Schrödinger equations with potentials
dc.type article
dc.type.genre dissertation
dspace.entity.type Publication
relation.isOrgUnitOfPublication 82295b2b-0f85-4929-9659-075c93e82c48
thesis.degree.level dissertation
thesis.degree.name Doctor of Philosophy
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