58 citations · 61 across the 4 of their papers we have counts for
4 papers
A Comparative Study of Iterative Riemann Solvers for the Shallow Water and Euler Equations
Carlos Muñoz Moncayo, Manuel Quezada de Luna, David I. Ketcheson
The Riemann problem for first-order hyperbolic systems of partial differential equations is of fundamental importance for both theoretical and numerical purposes. Many approximate…
Diffractons: solitary waves created by diffraction in periodic media
David I. Ketcheson, Manuel Quezada de Luna
A new class of solitary waves arises in the solution of nonlinear wave equations with constant impedance and no dispersive terms. They depend on a balance between nonlinearity and…
Two-dimensional wave propagation in layered periodic media
Manuel Quezada de Luna, David I. Ketcheson
We study two-dimensional wave propagation in materials whose properties vary periodically in one direction only. High order homogenization is carried out to derive a dispersive eff…
PyClaw: Accessible, Extensible, Scalable Tools for Wave Propagation Problems
David I. Ketcheson, Kyle T. Mandli, Aron Ahmadia +5
Development of scientific software involves tradeoffs between ease of use, generality, and performance. We describe the design of a general hyperbolic PDE solver that can be operat…