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dc.contributor.advisorDeconinck, Bernarden_US
dc.contributor.authorSheils, Natalie Elizabethen_US
dc.date.accessioned2015-09-29T17:56:36Z
dc.date.available2015-09-29T17:56:36Z
dc.date.submitted2015en_US
dc.identifier.otherSheils_washington_0250E_13826.pdfen_US
dc.identifier.urihttp://hdl.handle.net/1773/33556
dc.descriptionThesis (Ph.D.)--University of Washington, 2015en_US
dc.description.abstractInterface problems for partial differential equations are initial boundary value problems for which the solution of an equation in one domain prescribes boundary conditions for the equations in adjacent domains. These types of problems occur widely in applications including heat transfer, quantum mechanics, and mathematical biology. These problems, though linear, are often not solvable analytically using classical approaches. In this dissertation I present an extension of the Fokas Method appropriate for solving these types of problems. I consider problems with both dissipative and dispersive behavior and consider general boundary and interface conditions. An analog for the Dirichlet to Neumann map for interface problems is also constructed.en_US
dc.format.mimetypeapplication/pdfen_US
dc.language.isoen_USen_US
dc.rightsCopyright is held by the individual authors.en_US
dc.subjectFokas Method; Heat Equation; Interface Problems; Partial Differential Equations; Unified Transform Methoden_US
dc.subject.otherApplied mathematicsen_US
dc.subject.otherMathematicsen_US
dc.subject.otherPhysicsen_US
dc.subject.otherapplied mathematicsen_US
dc.titleInterface Problems using the Fokas Methoden_US
dc.typeThesisen_US
dc.embargo.termsOpen Accessen_US


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