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dc.contributor.advisorMontgomery-Smith, Stephen, 1963-eng
dc.contributor.authorFernando, E. Dilaneng
dc.date.issued2018eng
dc.date.submitted2018 Summereng
dc.descriptionProf. Stephen Montgomery-Smith, Dissertation Supervisor.eng
dc.descriptionIncludes vita.eng
dc.descriptionField of Study: Mathematics .eng
dc.description"July 2018."eng
dc.description.abstractThe purpose of this thesis is to find effective algorithms to numerically solve certain systems of differential equations that arise from standard Newtonian mechanics. Numerical models of elastica has already been well studied. In this thesis we concentrate on the Kirchhoff problem. The goal is to create an effective and robust numerical method to model the dynamic behavior of springs that have a prescribed natural curvature. In addition to the mathematics, we also provide the implementation details of the numerical method using the computer language Python 3. We also discuss in detail the various difficulties of such a software implementation and how certain auxiliary computations can make the software more effective and robust.eng
dc.description.bibrefIncludes bibliographical references (pages 105-114).eng
dc.format.extent1 online resource (viii, 115 pages) : illustrationseng
dc.identifier.merlinb126393230eng
dc.identifier.oclc1065527576eng
dc.identifier.urihttps://hdl.handle.net/10355/66377
dc.identifier.urihttps://doi.org/10.32469/10355/66377eng
dc.languageEnglisheng
dc.publisherUniversity of Missouri--Columbiaeng
dc.relation.ispartofcommunityUniversity of Missouri--Columbia. Graduate School. Theses and Dissertationseng
dc.rightsOpenAccess.eng
dc.rights.licenseThis work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 License.eng
dc.titleEffective numerical methods to model dynamic behavior of springs with torsioneng
dc.typeThesiseng
thesis.degree.disciplineMathematics (MU)eng
thesis.degree.grantorUniversity of Missouri--Columbiaeng
thesis.degree.levelDoctoraleng
thesis.degree.namePh. D.eng


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