An analysis of linear multistep methods

dc.creatorWendt, Richard Lawrence
dc.date.accessioned2022-01-26T19:00:06Z
dc.date.available2022-01-26T19:00:06Z
dc.date.issued1972
dc.description.abstractThe algebraic and analytic properties of the characteristic function of a linear multistep method are analyzed to provide an upper bound on the step size of a method. The step size may be chosen such that the zeros of a certain polynomial have moduli less than one. The convergence of a linear multistep method depends on a relationship between the order and the step number of the method and the location of the zeros of a certain polynomial.
dc.description.departmentMathematics, Department of
dc.format.digitalOriginreformatted digital
dc.format.mimetypeapplication/pdf
dc.identifier.other13691210
dc.identifier.urihttps://hdl.handle.net/10657/8610
dc.language.isoen
dc.rightsThis item is protected by copyright but is made available here under a claim of fair use (17 U.S.C. §107) for non-profit research and educational purposes. Users of this work assume the responsibility for determining copyright status prior to reusing, publishing, or reproducing this item for purposes other than what is allowed by fair use or other copyright exemptions. Any reuse of this item in excess of fair use or other copyright exemptions requires express permission of the copyright holder.
dc.titleAn analysis of linear multistep methods
dc.type.dcmiText
dc.type.genreThesis
thesis.degree.departmentMathematics, Department of
thesis.degree.disciplineMathematics
thesis.degree.grantorUniversity of Houston
thesis.degree.levelDoctoral
thesis.degree.nameDoctor of Philosophy

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