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Description:: This thesis concerns the formulation and derivation of a generalization of a collection of basis functions originally devised by Norbert Wiener for function approximation over …
Year:: 2009
Contributor:: Narayan, Akil (creator); Hesthaven, Jan (director); Shu, Chi-Wang (reader); Guzman, Johnny (reader); Brown University. Applied Mathematics (sponsor)
Genre:: theses
Subject:: wiener functions; rational functions; fast fourier transform; spectral methods; spectral expansion; function approximation; infinite interval; Jacobi polynomials
Language:: English
Collection:: Applied Mathematics; Theses and Dissertations

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Description:: High-order methods are emerging in the scientific computing community as superior alternatives to the classical finite difference, finite volume, and continuous finite element methods. The …
Year:: 2009
Contributor:: Schiemenz, Alan R. (creator); Hesthaven, Jan (director); Shu, Chi-Wang (reader); Parmentier, Edgar (reader); Brown University. Applied Mathematics (sponsor)
Genre:: theses
Subject:: discontinuous Galerkin method; high-order methods; Reactive Infilitration Instability; Hybrid schemes; finite volume methods
Language:: English
Collection:: Applied Mathematics; Theses and Dissertations

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Description:: This thesis contains two topics on high-order accurate methods for solving Maxwell's equations. The first topic is the application of high-order accurate methods to the …
Year:: 2008
Contributor:: Chun, Sehun (creator); Hesthaven, Jan (director); Gottlieb, David (reader); Shu, Chi-Wang (reader); Brown University. Applied Mathematics (sponsor)
Genre:: theses
Subject:: Discontinuous Galerkin method; Maxwell's equations; The frozen mode; Thin layer approximation; PDE constraint optimization
Language:: English
Collection:: Applied Mathematics; Theses and Dissertations

Full Record