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Applied Mathematics Theses and Dissertations

Theses and Dissertations for the Applied Mathematics department.

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  • 14 2014

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Items (1-14) out of 14 results

A Stochastic Context Free Model of Epistatic Interaction in the Human Genome

Description:
nheritable differences in DNA sequence are a major focus of the genetic community, as such differences are known to play a role in phenotypic variation, …
Year:
2014
Contributor:
Schuster, Jessica S (creator)
Lawrence, Charles (Director)
Thompson, William (Reader)
Padbury, James (Reader)
Brown University. Applied Mathematics (sponsor)
Genre:
theses
Subject:
Compuational Biology
Stochastic Context Free
High-Dimensional Inference
Computational biology
Language:
English
Collection:
Applied Mathematics
Theses and Dissertations
Full Record

Bayesian statistical inference of non-allelic homologous recombination in the human genome using high-throughput sequencing data

Description:
Non-allelic homologous recombination (NAHR) plays a major role in genome rearrangement and is implicated in numerous genetic disorders. But detection of NAHR poses a serious …
Year:
2014
Contributor:
Parks, Matthew (creator)
Lawrence, Charles (Director)
Thompson, William (Reader)
Raphael, Benjamin (Reader)
Brown University. Applied Mathematics (sponsor)
Genre:
theses
Subject:
bayesian
bayesian statistics
sequencing
NAHR
genome rearrangement
structural variation
Bayesian statistical decision theory
Statistics
Language:
English
Collection:
Applied Mathematics
Theses and Dissertations
Full Record

Discontinuous Galerkin Methods for Magma Dynamics

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
Full Record

Kinetic Limits of Piecewise Deterministic Markov Processes and Grain Boundary Coarsening

Description:
The subject of this thesis is the development of a stochastic process that can be interpreted as a model of grain coarsening, a central problem …
Year:
2014
Contributor:
Klobusicky, Joe J (creator)
Menon, Govind (Director)
Ramanan, Kavita (Reader)
Pego, Robert (Reader)
Brown University. Applied Mathematics (sponsor)
Genre:
theses
Subject:
grain coarsening
kinetic equations
Markov processes
Language:
English
Collection:
Applied Mathematics
Theses and Dissertations
Full Record

Lagrangian Data Assimilation and its Applications to Geophysical Fluid Flows

Description:
Lagrangian data assimilation is the process of estimating a velocity flow field, given observations of the locations of passive drifters whose trajectories are determined by …
Year:
2014
Contributor:
Slivinski, Laura C (creator)
Sandstede, Bjorn (Director)
Maxey, Martin (Reader)
Spiller, Elaine (Reader)
Brown University. Applied Mathematics (sponsor)
Genre:
theses
Subject:
data assimilation
ensemble methods
nonlinearity
Language:
English
Collection:
Applied Mathematics
Theses and Dissertations
Full Record

Large deviations and quasipotential for finite state mean field interacting particle systems

Description:
We study a general class of mean field interacting particle systems with a finite state space. Particles evolve as exchangeable jump Markov processes, where finite …
Year:
2014
Contributor:
Wu, Wei (creator)
Dupuis, Paul (Director)
Ramanan, Kavita (Director)
Fleming, Wendell (Reader)
Brown University. Applied Mathematics (sponsor)
Genre:
theses
Subject:
interacting particle systems
mean field limits
quasipotential
Large deviations
Language:
English
Collection:
Applied Mathematics
Theses and Dissertations
Full Record

Nonparametric and Variable-Dimension Bayesian Mixture Models: Analysis, Comparison, and New Methods

Description:
Many nonparametric Bayesian models can be viewed as an infinite-dimensional limit of a family of finite-dimensional models. However, another way to construct a flexible Bayesian …
Year:
2014
Contributor:
Miller, Jeffrey W. (creator)
Harrison, Matthew (Director)
Geman, Stuart (Reader)
MacEachern, Steven (Reader)
Brown University. Applied Mathematics (sponsor)
Genre:
theses
Subject:
Bayesian nonparametrics
variable-dimension models
mixture models
Statistics
Language:
English
Collection:
Applied Mathematics
Theses and Dissertations
Full Record

Numerical Methods for Fluid-Structure Interaction: Analysis and Simulations

Description:
In recent years, there has been great interest in fluid-structure interaction (FSI) problems due to their relevance in structural engineering and biomedical applications. However, several …
Year:
2014
Contributor:
Yu, Yue (creator)
Karniadakis, George (Director)
Guzman, Johnny (Reader)
Maxey, Martin (Reader)
Bittencourt, Marco (Reader)
Brown University. Applied Mathematics (sponsor)
Genre:
theses
Subject:
FSI
added-mass effect
spectral/hp element method
Future Systems Incorporated
Language:
English
Collection:
Applied Mathematics
Theses and Dissertations
Full Record

Oscillons Near Hopf Bifurcations of Planar Reaction Diffusion Equations

Description:
Oscillons are spatially localized, time-periodic structures that have been observed in many natural processes, often under temporally periodic forcing. Near Hopf bifurcations, such systems can …
Year:
2014
Contributor:
McQuighan, Kelly Teresa (creator)
Sandstede, Bjorn (Director)
Menon, Govind (Reader)
Dafermos, Constantine (Reader)
Brown University. Applied Mathematics (sponsor)
Genre:
theses
Subject:
dynamical systems
pattern formation
oscillons
spatial dynamics
localized radial structures
geometric blow-up
complex Ginzburg--Landau equation
Dynamics
Language:
English
Collection:
Applied Mathematics
Theses and Dissertations
Full Record

Recovering exponential accuracy in spectral methods involving piecewise smooth functions with unbounded derivative singularities

Description:
This thesis presents the methodologies to recover exponential accuracy in spectral methods involving piecewise smooth functions with unbounded derivative singularities. The results imply that the …
Year:
2014
Contributor:
Chen, Zheng (creator)
Shu, Chi-Wang (Director)
Guzman, Johnny (Reader)
Ainsworth, Mark (Reader)
Brown University. Applied Mathematics (sponsor)
Genre:
theses
Subject:
Spectral method; Exponential accuracy; Singularities; Collocation; Gaussian points; Fourier coefficients; Gegenbauer expansion; Transport equation; Singular initial conditions.
Language:
English
Collection:
Applied Mathematics
Theses and Dissertations
Full Record

Structure, Variation, and Reproducibility: Bayesian inference in problems arising from the study of RNA and an RNA-binding protein

Description:
Far from being solely a passive messenger between DNA and protein, RNA is a complex molecule involved in regulation at many levels. While the best-known …
Year:
2014
Contributor:
Sugden, Lauren Alpert (creator)
Lawrence, Charles (Director)
Thompson, William (Reader)
Reenan, Robert (Reader)
Brown University. Applied Mathematics (sponsor)
Genre:
theses
Subject:
Bayesian inference
polymorphisms
reproducibility
secondary structure
RNA editing
Language:
English
Collection:
Applied Mathematics
Theses and Dissertations
Full Record

The Holy Trinity of Stochastic Modeling and Uncertainty Quantification: High-Dimensionality, Sparsity and Rare Events

Description:
In this thesis, we present new developments to the three most important issues in stochastic modeling and uncertainty quantification (UQ): high-dimensionality, sparsity and rare events. …
Year:
2014
Contributor:
Yang, Xiu (creator)
George , Karniadakis (Director)
Boris, Rozovsky (Reader)
Xiaoliang, Wan (Reader)
Brown University. Applied Mathematics (sponsor)
Genre:
theses
Subject:
uncertainty quantification
high-dimensionality
sparsity
rare events
generalized polynomial chaos
Language:
English
Collection:
Applied Mathematics
Theses and Dissertations
Full Record

Time-dependent Karhunen-Loeve type decomposition methods for SPDEs

Description:
A new hybrid methodology for the stochastic partial differential equations (SPDEs) is developed based on the dynamically-orthogonal (DO) and bi-orthogonal (BO) expansions; both approaches are …
Year:
2014
Contributor:
Choi, Minseok (creator)
Karniadakis, George (Director)
Rozovsky, Boris (Reader)
Themistoklis, Sapsis (Reader)
Brown University. Applied Mathematics (sponsor)
Genre:
theses
Subject:
uncertainty quantification
reduced-order models,high dimensions
stochastic collocation
dynamical orthogonality
bi-orthogonality
Stochastic partial differential equations
Language:
English
Collection:
Applied Mathematics
Theses and Dissertations
Full Record

Towards High-order Methods for Stochastic Differential Equations with White Noise: A Spectral Approach

Description:
We develop a recursive multistage Wiener chaos expansion method (WCE) and a recursive multi-stage stochastic collocation method (SCM) for numerical integration of linear stochastic advection-diffusion-reaction …
Year:
2014
Contributor:
zhang, zhongqiang (creator)
Karniadakis, George (Director)
Rozovskii, Boris (Director)
Tretyakov, Michael (Reader)
Sarkis, Marcus (Reader)
Brown University. Applied Mathematics (sponsor)
Genre:
theses
Subject:
Wiener chaos expansion
stochastic collocation method
stochastic differential equation
Brownian motion
spectral approximation
time integration
strong and weak convergence
numerical schemes
Wong-Zakai approximation
Stochastic differential equations
Brownian motion processes
Language:
English
Collection:
Applied Mathematics
Theses and Dissertations
Full Record

Items (1-14) out of 14 results