Applied Mathematics Theses and Dissertations

Theses and Dissertations for the Applied Mathematics department.

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Description:: The first part of the thesis presents the surface respresentation of blood vessel walls extracted from medical images, sensitivity to the inlet/outlet boundary conditions, and …
Year:: 2010
Contributor:: Baek, Hyoungsu (creator); Karniadakis, George (Director); Shu, Chi-Wang (Reader); Richardson, Peter (Reader); Bittencourt, Marco (Reader); Brown University. Applied Mathematics (sponsor)
Genre:: theses
Subject:: spectral method; stability analysis; flow instability; Numerical analysis; Fluid-structure interaction; Stability--Analysis; Aneurysms
Language:: English
Collection:: Applied Mathematics; Theses and Dissertations

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Description:: Generation and segregation of magma in the Earth and the interior of large planets has been a subject of intensive study in the earth science …
Year:: 2014
Contributor:: Tirupathi, Seshu (creator); Hesthaven, Jan (Director); Ainsworth, Mark (Reader); Liang, Yan (Reader); Parmentier, Edgar (Reader); Brown University. Applied Mathematics (sponsor)
Genre:: theses
Subject:: discontinuous galerkin method; scientific computing; magma dynamics; multi-phase; Numerical analysis
Language:: English
Collection:: Applied Mathematics; Theses and Dissertations

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Description:: The problem of forming exact sequences of finite element spaces that discretize Hilbert complexes is central to the finite element exterior calculus. This framework offers …
Year:: 2020
Contributor:: Lischke, Anna (creator); Guzman, Johnny (Advisor); Neilan, Michael (Reader); Shu, Chi-Wang (Reader); Brown University. Department of Applied Mathematics (sponsor)
Genre:: theses
Subject:: Scientific Computation; Numerical analysis; Finite element method; Algebra, Homological
Collection:: Applied Mathematics; Theses and Dissertations

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Description:: Finite element methods (FEMs) are used to discretize partial differential equations in a wide array of applications, including fluid flow, solid mechanics, electromagnetism, optimal control, …
Year:: 2022
Contributor:: Parker, Charles William (creator); Ainsworth, Mark (Advisor); Süli, Endre (Reader); Karniadakis, George (Reader); Brown University. Department of Applied Mathematics (sponsor)
Genre:: theses
Subject:: Numerical analysis; preconditioners; Finite element method
Collection:: Applied Mathematics; Theses and Dissertations

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Description:: This dissertation focuses on the analysis and computation of a certain high order accurate numerical scheme which is used to solve problems in computational Cosmology. …
Year:: 2010
Contributor:: Roy, Ishani (creator); Shu, Chi-Wang (Director); Guzmán, Johnny (Reader); Hesthaven, Jan (Reader); Brown University. Applied Mathematics (sponsor)
Genre:: theses
Subject:: Higher order schemes; Scientific computing; Computational Cosmology; Numerical analysis
Language:: English
Collection:: Applied Mathematics; Theses and Dissertations

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Description:: Computational simulation pervades science and engineering, enabling new insights about complex physical phenomena. The advent of exascale computer systems, which will enable simulation at an …
Year:: 2018
Contributor:: Whitney, Ben Ensrud (creator); Ainsworth, Mark (Advisor); Darbon, Jérôme (Reader); Klasky, Scott (Reader); Brown University. Department of Applied Mathematics (sponsor)
Genre:: theses
Subject:: Numerical analysis; Data compression (Computer science)
Collection:: Applied Mathematics; Theses and Dissertations

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Description:: This dissertation presents two topics on numerical solutions solving hyperbolic equations from both theoretical and practical points of view. In the first part, we introduce …
Year:: 2018
Contributor:: Shi, Cengke (creator); Shu, Chi-Wang (Advisor); Guzman, Johnny (Reader); Darbon, Jerome (Reader); Brown University. Department of Applied Mathematics (sponsor)
Genre:: theses
Subject:: Discontinuous Galerkin Methods; Numerical analysis; hyperbolic conservation law
Collection:: Applied Mathematics; Theses and Dissertations

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Description:: In this thesis we develop a loosely coupled splitting method for coupled problems called the Robin-Robin splitting method. As the name suggests, this method is …
Year:: 2022
Contributor:: Durst, Rebecca Frances (creator); Guzman, Johnny (Advisor); Shu, Chi-Wang (Reader); Burman, Erik (Reader); Brown University. Department of Applied Mathematics (sponsor)
Genre:: theses
Subject:: Numerical analysis; Fluid-structure interaction--Mathematical models
Collection:: Applied Mathematics; Theses and Dissertations

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