Browsing EPrint Collection - Applied Mathematics by Author "Bale, Derek S."
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A wave propagation algorithm for hyperbolic systems on curved manifolds
Rossmanith, James A.; Bale, Derek S.; LeVeque, Randall J (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
LeVeque, Randall J; 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. Finite-volume methods are used in which the flux is discretized spatially, ...