Browsing Applied Mathematics, Department of by Title
Now showing items 16-18 of 18
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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 ...