290 citations · 496 across the 21 of their papers we have counts for
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math.NA2011
High-order Wave Propagation Algorithms for Hyperbolic Systems
David I. Ketcheson, Matteo Parsani, Randall J. LeVeque
We present a finite volume method that is applicable to hyperbolic PDEs including spatially varying and semilinear nonconservative systems. The spatial discretization, like that of…
math-ph2011★ 17 cited
Shock Dynamics in Layered Periodic Media
David I Ketcheson, Randall J. LeVeque
Solutions of constant-coefficient nonlinear hyperbolic PDEs generically develop shocks, even if the initial data is smooth. Solutions of hyperbolic PDEs with variable coefficients…