Browsing by Department "Computational Science, Engineering, and Mathematics"
Now showing items 120 of 44

A collection of Bayesian models of stochastic failure processes
(20130422)Risk managers currently seek new advances in statistical methodology to better forecast and quantify uncertainty. This thesis comprises a collection of new Bayesian models and computational methods which collectively aim ... 
A computational framework for the solution of infinitedimensional Bayesian statistical inverse problems with application to global seismic inversion
(20150810)Quantifying uncertainties in largescale forward and inverse PDE simulations has emerged as a central challenge facing the field of computational science and engineering. The promise of modeling and simulation for prediction, ... 
A discontinuous PetrovGalerkin method for seismic tomography problems
(20130422)The imaging of the interior of the Earth using ground motion data, or seismic tomography, has been a subject of great interest for over a century. The full elastic wave equations are not typically used in standard tomography ... 
A discontinuous PetrovGalerkin methodology for incompressible flow problems
(20130906)Incompressible flows  flows in which variations in the density of a fluid are negligible  arise in a wide variety of applications, from hydraulics to aerodynamics. The incompressible NavierStokes equations which govern ... 
A DPG method for convectiondiffusion problems
(20130806)Over the last three decades, CFD simulations have become commonplace as a tool in the engineering and design of highspeed aircraft. Experiments are often complemented by computational simulations, and CFD technologies ... 
A shape Hessianbased analysis of roughness effects on fluid flows
(20111012)The flow of fluids over solid surfaces is an integral part of many technologies, and the analysis of such flows is important to the design and operation of these technologies. Solid surfaces, however, are generally rough ... 
Analysis, implementation, and verification of a discontinuous galerkin method for prediction of storm surges and coastal deformation
(20111014)Storm surge, the pileup of seawater occurring as a result of high surface stresses and strong currents generated by extreme storm events such as hurricanes, is known to cause greater loss of life than these storms' associated ... 
Assessing GCM performance for use in greenhouse gas forced climate change predictions using multivariate empirical orthogonal functions
(20121126)Due to factors such as spatial discretization and the parameterization of certain processes, the presence of bias in models of the Earth's atmosphere is unavoidable. Whether we are selecting a model to explain past phenomenon, ... 
Automated Prediction of Human Disease Genes
(20121207)The completion of the human genome project has led to a flood of new genetic data, that has proved surprisingly hard to interpret. Network "guilt by association" (GBA) is a proven approach for identifying novel disease ... 
Bayesian learning methods for potential energy parameter inference in coarsegrained models of atomistic systems
(20150507)The present work addresses issues related to the derivation of reduced models of atomistic systems, their statistical calibration, and their relation to atomistic models of materials. The reduced model, known in the chemical ... 
Computing accurate solutions to the KohnSham problem quickly in real space
(20140912)Matter on a length scale comparable to that of a chemical bond is governed by the theory of quantum mechanics, but quantum mechanics is a many body theory, hence for the sake of chemistry or solid state physics, finding ... 
Coupled flow systems, adjoint techniques and uncertainty quantification
(20121025)Coupled systems are ubiquitous in modern engineering and science. Such systems can encompass fluid dynamics, structural mechanics, chemical species transport and electrostatic effects among other components, all of which ... 
Data assimilation for parameter estimation in coastal ocean hydrodynamics modeling
(20131003)Coastal ocean models are used for a vast array of applications. These applications include modeling tidal and coastal flows, waves, and extreme events, such as tsunamis and hurricane storm surges. Tidal and coastal flows ... 
Discontinuous Galerkin (DG) methods for variable density groundwater flow and solute transport
(20130130)Coastal regions are the most densely populated regions of the world. The populations of these regions continue to grow which has created a high demand for water that stresses existing water resources. Coastal aquifers ... 
Discontinuous Galerkin methods for spectral wave/circulation modeling
(20130805)Waves and circulation processes interact in daily wind and tide driven flows as well as in more extreme events such as hurricanes. Currents and water levels affect wave propagation and the location of wavebreaking zones, ... 
Divergencefree Bspline discretizations for viscous incompressible flows
(20120131)The incompressible NavierStokes equations are among the most important partial differential systems arising from classical physics. They are utilized to model a wide range of fluids, from water moving around a naval ... 
Expanding the applications of highthroughput DNA sequencing
(20150828)DNA sequencing is the process of determining the identities of the nucleotides that make up a molecule of DNA. The rapid pace of advancements in sequencing technologies in recent years have made it possible to simultaneously ... 
Fast algorithms for frequency domain wave propagation
(20121203)Highfrequency wave phenomena is observed in many physical settings, most notably in acoustics, electromagnetics, and elasticity. In all of these fields, numerical simulation and modeling of the forward propagation problem ... 
Fast numerical methods for high frequency wave scattering
(20120703)Computer simulation of wave propagation is an active research area as wave phenomena are prevalent in many applications. Examples include wireless communication, radar cross section, underwater acoustics, and seismology. ... 
Fast parallel solution of heterogeneous 3D timeharmonic wave equations
(20130130)Several advancements related to the solution of 3D timeharmonic wave equations are presented, especially in the context of a parallel movingPML sweeping preconditioner for problems without largescale resonances. The ...