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dc.contributor.advisorShindin, Sergey K.
dc.contributor.advisorParumasur, Nabendra.
dc.creatorGovinder, Saieshan.
dc.date.accessioned2018-10-16T12:28:22Z
dc.date.available2018-10-16T12:28:22Z
dc.date.created2015
dc.date.issued2015
dc.identifier.urihttp://hdl.handle.net/10413/15666
dc.descriptionMaster of Science in Applied Mathematics. University of KwaZulu-Natal, Durban 2015.en_US
dc.description.abstractChebyshev type spectral methods are widely used in numerical simulations of PDEs posed in unbounded domains. Such methods have a number of important computational advantages. In particular, they admit very efficient practical implementation. However, the stability and convergence analysis of these methods require deep understanding of approximation properties of the underlying functional basis. In this project, we deal with Chebyshev spectral and pseudo-spectral methods in unbounded domains. The first part of the project deals with theoretical analysis of Chebyshev-type spectral projection and interpolation operators in Bessel potential spaces. In the second part, we provide rigorous analyses of Chebyshev-type pseudo-spectral (collocation) scheme applied to the nonlinear Schrodinger equation. The project is concluded with several numerical experiments.en_US
dc.language.isoen_ZAen_US
dc.subjectTheses - Applied Mathematics.en_US
dc.subject.otherChebyshev.en_US
dc.subject.otherSpectral methods.en_US
dc.subject.otherBessel Fractional Integrals.en_US
dc.titleChebyshev spectral and pseudo-spectral methods in unbounded domains.en_US
dc.typeThesisen_US


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