Browsing Applied Mathematics, Department of by Title
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Tsunami Hazard Assessment of the Strait of Juan de Fuca
(20150924)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 ... 
A wave propagation algorithm for hyperbolic systems on curved manifolds
(Elsevier, 20040920)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. Finitevolume methods are used in which the flux is discretized spatially, ... 
A wave propagation method for threedimensional hyperbolic conservation laws
(Elsevier, 20001120)A class of wave propagation algorithms for threedimensional conservation laws and other hyperbolic systems is developed. These unsplit finitevolume methods are based on solving onedimensional Riemann problems at the ...