Browsing Applied Mathematics, Department of by Title
Now showing items 23-34 of 34
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Spectral Methods for Partial Differential Equations that Model Shallow Water Wave Phenomena
Mathematical models for waves on shallow water surfaces has been of interest to researchers dating back to the 1800's. These models are governed by partial differential equations, and many of them have rich mathematical ... -
The history, hydraulics, and geomorphic impact of outburst floods in the eastern Himalaya
Outburst floods have shaped many landscapes on Earth and represent a significant geologic hazard, but they are relatively infrequent, and we must rely on the sedimentary record to study the most extreme events that have ... -
Tsunami Hazard Assessment of the Ocosta School Site in Westport, WA
(2013-09-11)The Westport Ocosta School District is proposing the construction of a new building to replace the current Ocosta Elementary School (Educational Service District 112, 2012). Since the Walsh et al. (2000) study, there have ... -
Tsunami Hazard Assessment of the Strait of Juan de Fuca
(2015-09-24)This report documents the results of a study supported by the Washington State Emergency Management Division of the tsunami hazard along the Strait of Juan de Fuca. Results include inundation depths and times of arrival ... -
Tsunami Hazard Assessment of Whatcom County, Washington. Project Report - Version 2
(2019-05-19)This report documents the results of a study supported by the Washington State Emergency Management Division of the tsunami hazard along the coast of Whatcom County. One earthquake source from the Seattle Fault and one ... -
Tsunami Inundation Modeling of Sequim Bay Area, Washington, USA from a Mw 9.0 Cascadia Subduction Zone Earthquake
(2017-06)The Strait of Juan de Fuca and the coastline nearby are prone to tsunami attacks along the Cascadia Subduction Zone (CSZ). Besides the tsunami deposits that exist on the outer coast, the inland geological evidence shows ... -
Tsunamis and sea levels of the past millennium in Puget Sound, Washington
Tidal marsh deposits in the Puget Sound area contain evidence for multiple earthquakes and tsunamis over the past 1,000 years. This dissertation focuses on evidence beneath a salt marsh at Lynch Cove, at the head of the ... -
Uncertainty Quantification Problems in Tsunami Modeling and Reduced Order Models for Hyperbolic Partial Differential Equations
In this thesis, we consider an uncertainty quantification (UQ) problem that arises from tsunami modeling, namely the probabilistic tsunami hazard assessment (PTHA) problem. The goal of PTHA is to compute the probability ... -
A wave propagation algorithm for hyperbolic systems on curved manifolds
(Elsevier, 2004-09-20)An extension of the wave propagation algorithm first introduced by LeVeque [J. Comput. Phys. 131 (1997) 327] is developed for hyperbolic systems on a general curved manifold. This extension is important in a variety of ... -
A Wave Propagation Method for Conservation Laws and Balance Laws with Spatially Varying Flux Functions
(Society for Industrial and Applied Mathematics, 2002)We study a general approach to solving conservation laws of the form qt+f(q,x)x=0, where the flux function f(q,x) has explicit spatial variation. Finite-volume methods are used in which the flux is discretized spatially, ... -
A wave propagation method for three-dimensional hyperbolic conservation laws
(Elsevier, 2000-11-20)A class of wave propagation algorithms for three-dimensional conservation laws and other hyperbolic systems is developed. These unsplit finite-volume methods are based on solving one-dimensional Riemann problems at the ...