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Applied Mathematics Theses and Dissertations

Theses and Dissertations for the Applied Mathematics department.

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  • 11 2018

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Items (1-11) out of 11 results

Boundary Layers for 2D Stationary Navier-Stokes Flows over a Moving Boundary

Description:
In this thesis, we study Prandtl's boundary layer theory for 2D, stationary, incompressible Navier-Stokes flows posed on domains with boundaries. The boundary layer hypothesis posed …
Year:
2018
Contributor:
Iyer, Sameer S. (creator)
Guo, Yan (Advisor)
Menon, Govind (Reader)
Pausader, Benoit (Reader)
Brown University. Department of Applied Mathematics (sponsor)
Genre:
theses
Subject:
Differential equations, Partial
Fluid mechanics
Boundary layer
Collection:
Applied Mathematics
Theses and Dissertations
Full Record

Data-Calibrated Modeling of Biological Soft Matter with Dissipative Particle Dynamics and High-Performance Bayesian Uncertainty Quantification

Description:
Fluids play a key role in the mechanics of cells and the soft-matter structures composing them; from the movement of molecules such as amino acids …
Year:
2018
Contributor:
Bowman, Clark Michael Riordan (creator)
Matzavinos, Anastasios (Advisor)
Stein, Derek (Reader)
Chaplain, Mark (Reader)
Brown University. Department of Applied Mathematics (sponsor)
Genre:
theses
Subject:
High performance computing
Computational fluid dynamics
Nanofluids
Soft Matter
Computational biology
Uncertainty--Mathematical models
Collection:
Applied Mathematics
Theses and Dissertations
Full Record

Discontinuous Galerkin Methods: Stability of Time Discretizations and Applications to Gradient Flows

Description:
This thesis consists of two topics on discontinuous Galerkin (DG) finite element methods for time-dependent problems. In the first part of the thesis, we analyze …
Year:
2018
Contributor:
Sun, Zheng (creator)
Shu, Chi-Wang (Advisor)
Guzman, Johnny (Reader)
Darbon, Jerome (Reader)
Brown University. Department of Applied Mathematics (sponsor)
Genre:
theses
Subject:
Numerical Anlaysis
Scientific Computation
Discontinuous Galerkin Methods
Time Discretization Methods
Gradient Flow Problems
Collection:
Applied Mathematics
Theses and Dissertations
Full Record

Efficient solvers and preconditioners for the implicit time integration of discontinuous Galerkin methods

Description:
In this work, we develop and analyze solvers and preconditioners designed for the implicit time integration of discontinuous Galerkin (DG) discretizations. The discontinuous Galerkin method …
Year:
2018
Contributor:
Pazner, Will (creator)
Shu, Chi-Wang (Advisor)
Persson, Per-Olof (Reader)
Guzmán, Johnny (Reader)
Brown University. Department of Applied Mathematics (sponsor)
Genre:
theses
Subject:
discontinous Gakerkin method
preconditioners
time integration
Computational science and engineering
Collection:
Applied Mathematics
Theses and Dissertations
Full Record

Geometry and Mechanics of Self-Assembled Colloidal Membranes

Description:
Colloidal membranes are an example of a novel bioinspired soft material with rich properties that stem from the interplay of geometry and molecular order. A …
Year:
2018
Contributor:
Jia, Leroy (creator)
Powers, Thomas (Advisor)
Pelcovits, Robert (Advisor)
Matzavinos, Anastasios (Reader)
Brown University. Department of Applied Mathematics (sponsor)
Genre:
theses
Subject:
Soft Matter
Collection:
Applied Mathematics
Theses and Dissertations
Full Record

Improving Information Propagation in Phylogenetic Workflows

Description:
Despite the enormous amount of biological variation and technical uncertainty in sequence data, most phylogenetic workflows propagate a single point estimate throughout the numerous analysis …
Year:
2018
Contributor:
Guang, August (creator)
Lawrence, Charles (Advisor)
Dunn, Casey (Reader)
Lewis, Paul (Reader)
Brown University. Department of Applied Mathematics (sponsor)
Genre:
theses
Subject:
HIV/AIDS
Probability
Computational biology
Phylogeny
Collection:
Applied Mathematics
Theses and Dissertations
Full Record

Multilevel Techniques for Compression and Reduction of Scientific Data

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
Full Record

Numerical Methods for Hyperbolic Equations: Generalized Definition of Local Conservation and Discontinuous Galerkin Methods for Maxwell's equations in Drude Metamaterials

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
Full Record

Numerical Simulations to Investigate Particle Dispersion in Non-Homogeneous Suspension Flows

Description:
Neutrally buoyant, non-Brownian particles in a low Reynolds number pressure-driven flow display an irreversible net particle migration towards the center of the channel, resulting in …
Year:
2018
Contributor:
Howard, Amanda A. (creator)
Maxey, Martin (Advisor)
Karniadakis, George (Reader)
Morris, Jeffrey (Reader)
Brown University. Department of Applied Mathematics (sponsor)
Genre:
theses
Subject:
Computational fluid dynamics
Collection:
Applied Mathematics
Theses and Dissertations
Full Record

Regular Polygon Surfaces and Renormalizable Rectangle Exchange Maps

Description:
We investigate two different topics in discrete mathematics: the geometry of piecewise-linear surfaces and the long-term behavior of discrete dynamical systems. A regular polygon surface …
Year:
2018
Contributor:
Alevy, Ian (creator)
Kenyon, Richard (Advisor)
Menon, Govind (Reader)
Schwartz, Richard (Reader)
Brown University. Department of Applied Mathematics (sponsor)
Genre:
theses
Subject:
Dynamics
Probability
Discrete mathematics
Geometry
Statistical mechanics
Collection:
Applied Mathematics
Theses and Dissertations
Full Record

Statistical Modeling and Estimation Strategies for Repetitive and Noncoding Nucleic Acid Sequences

Description:
For most eukaryotic organisms, protein coding sequences are only a small portion of the genome. Much of the genome is made up of transposable elements, …
Year:
2018
Contributor:
McKerrow, Wilson Hales (creator)
Lawrence, Charles (Advisor)
Reenan, Robert (Reader)
Bienenstock, Elie (Reader)
Brown University. Department of Applied Mathematics (sponsor)
Genre:
theses
Subject:
DNA sequencing
RNA sequencing
Transposons
Bioinformatics
Sequence alignment (Bioinformatics)
RNA--Structure
Collection:
Applied Mathematics
Theses and Dissertations
Full Record

Items (1-11) out of 11 results