Applied Mathematics Theses and Dissertations

Theses and Dissertations for the Applied Mathematics department.

Refine your results

Description:: This dissertation focuses on studies of two different discontinuous Galerkin (DG) methods for general convection-diffusion equations. One preserves the strict maximum principle for general nonlinear …
Year:: 2013
Contributor:: Zhang, Yifan (creator); Shu, Chi-Wang (Director); Hesthaven, Jan (Reader); Guzman, Johnny (Reader); Brown University. Applied Mathematics (sponsor)
Genre:: theses
Subject:: Discontinuous Galerkin method; convection-diffusion equations; positivity preservation; multi-scale resolution; incompressible Navier-Stokes equation; cubed-sphere computation; Composite materials
Language:: English
Collection:: Applied Mathematics; Theses and Dissertations

Full Record

Description:: Part I introduces the discontinuous Galerkin (DG) method for solving hyperbolic equations. The introduction and the DG scheme will be given in the ﬁrst two …
Year:: 2013
Contributor:: Yang, Yang (creator); Shu, Chi-Wang (Director); Hesthaven, Jan (Reader); Guzman, Johnny (Reader); Brown University. Applied Mathematics (sponsor)
Genre:: theses
Subject:: Discontinuous Galerkin method; superconvergence; δ-singularities; WENO scheme; Cosmology
Language:: English
Collection:: Applied Mathematics; Theses and Dissertations

Full Record

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