Persistent Link:
http://hdl.handle.net/10150/186592
Title:
Geometric aspects of local adaptive Galerkin bases.
Author:
Solis, Francisco Javier.
Issue Date:
1993
Publisher:
The University of Arizona.
Rights:
Copyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction or presentation (such as public display or performance) of protected items is prohibited except with permission of the author.
Abstract:
The local adaptive Galerkin bases for large dynamical systems, whose long time behaviour is confined to a finite dimensional manifold, are bases chosen by a local version of a singular value decomposition analysis. We show that these bases are picked out by choosing directions of maximum bending of the manifold. We discover a useful way to compute the dimension and local shape of the manifold. The application of the results is evaluated by examining numerically several interesting examples.
Type:
text; Dissertation-Reproduction (electronic)
Keywords:
Dissertations, Academic.; Mathematics.
Degree Name:
Ph.D.
Degree Level:
doctoral
Degree Program:
Applied Mathematics; Graduate College
Degree Grantor:
University of Arizona
Committee Chair:
Flaschka, Hermann

Full metadata record

DC FieldValue Language
dc.language.isoenen_US
dc.titleGeometric aspects of local adaptive Galerkin bases.en_US
dc.creatorSolis, Francisco Javier.en_US
dc.contributor.authorSolis, Francisco Javier.en_US
dc.date.issued1993en_US
dc.publisherThe University of Arizona.en_US
dc.rightsCopyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction or presentation (such as public display or performance) of protected items is prohibited except with permission of the author.en_US
dc.description.abstractThe local adaptive Galerkin bases for large dynamical systems, whose long time behaviour is confined to a finite dimensional manifold, are bases chosen by a local version of a singular value decomposition analysis. We show that these bases are picked out by choosing directions of maximum bending of the manifold. We discover a useful way to compute the dimension and local shape of the manifold. The application of the results is evaluated by examining numerically several interesting examples.en_US
dc.typetexten_US
dc.typeDissertation-Reproduction (electronic)en_US
dc.subjectDissertations, Academic.en_US
dc.subjectMathematics.en_US
thesis.degree.namePh.D.en_US
thesis.degree.leveldoctoralen_US
thesis.degree.disciplineApplied Mathematicsen_US
thesis.degree.disciplineGraduate Collegeen_US
thesis.degree.grantorUniversity of Arizonaen_US
dc.contributor.chairFlaschka, Hermannen_US
dc.contributor.committeememberErcolani, Nicholas M.en_US
dc.contributor.committeememberNewell, Alan C.en_US
dc.identifier.proquest9422817en_US
dc.identifier.oclc722392502en_US
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