Applied Mathematics Theses and Dissertations

Theses and Dissertations for the Applied Mathematics department.

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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 dissertation presents wave resolution properties and weighted essentially non-oscillatory limiter for discontinuous Galerkin methods solving hyperbolic conservation laws. <br/> <br/> In this dissertation, using Fourier analysis, …
Year:: 2012
Contributor:: Zhong, Xinghui (creator); Shu, Chi-Wang (Director); Guzman, Johnny (Reader); Hesthaven, Jan (Reader); Brown University. Applied Mathematics (sponsor)
Genre:: theses
Subject:: discontinuous Galerkin method; error analysis; superconvergence,fully discretized,points per wavelength,WENO limiter; Error analysis (Mathematics)
Language:: English
Collection:: Applied Mathematics; Theses and Dissertations

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