Browsing EPrint Collection  Applied Mathematics by Author "LeVeque, Randall J., 1955"
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A class of approximate Riemann Solvers and their relation to relaxation schemes
LeVeque, Randall J., 1955; Pelanti, Marica (Elsevier/Academic Press, 20010930)We show that a simple relaxation scheme of the type proposed by Jin and Xin [Comm. Pure Appl. Math.48, 235 (1995)] can be reinterpreted as defining a particular approximate Riemann solver for the original system of m ... 
Probabilistic Tsunami Hazard Assessment (PTHA) for Crescent City, CA. Final Report for Phase I
Gonzalez, Frank I.; LeVeque, Randall J., 1955; Adams, Loyce M. (University of Washington Department of Applied Mathmatics, 20130202)This demonstration Probabilistic Tsunami Hazard Assessment (PTHA) study of Crescent City, California was funded by BakerAECOM and motivated by FEMA's desire to explore methods to improve products of the FEMA Risk Mapping, ... 
A wave propagation algorithm for hyperbolic systems on curved manifolds
Rossmanith, James A.; Bale, Derek S.; LeVeque, Randall J., 1955 (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
LeVeque, Randall J., 1955; Bale, Derek S.; Mitran, Sorin; Rossmanith, James A. (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
Langseth, Jan Olav; LeVeque, Randall J., 1955 (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 ...