134 citations · 770 across the 68 of their papers we have counts for
5 papers · 1 filter
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…
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…
Strong stability preserving two-step Runge-Kutta methods
David I. Ketcheson, Sigal Gottlieb, Colin B. Macdonald
We investigate the strong stability preserving (SSP) property of two-step Runge-Kutta (TSRK) methods. We prove that all SSP TSRK methods belong to a particularly simple subclass of…
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…
Step Sizes for Strong Stability Preservation with Downwind-biased Operators
David I. Ketcheson
Strong stability preserving (SSP) integrators for initial value ODEs preserve temporal monotonicity solution properties in arbitrary norms. All existing SSP methods, including impl…