134 citations · 770 across the 68 of their papers we have counts for
4 papers · 1 filter
Numerical simulation of cylindrical solitary waves in periodic media
Manuel Quezada de Luna David I. Ketcheson
We study the behavior of nonlinear waves in a two-dimensional medium with density and stress relation that vary periodically in space. Efficient approximate Riemann solvers are dev…
Optimized explicit Runge-Kutta schemes for the spectral difference method applied to wave propagation problems
M. Parsani, D. I. Ketcheson, W. Deconinck
Explicit Runge-Kutta schemes with large stable step sizes are developed for integration of high order spectral difference spatial discretization on quadrilateral grids. The new sch…
Strong stability preserving explicit Runge-Kutta methods of maximal effective order
Yiannis Hadjimichael, Colin B. Macdonald, David I. Ketcheson +1
We apply the concept of effective order to strong stability preserving (SSP) explicit Runge-Kutta methods. Relative to classical Runge-Kutta methods, methods with an effective orde…
Optimal stability polynomials for numerical integration of initial value problems
David I. Ketcheson, Aron J. Ahmadia
We consider the problem of finding optimally stable polynomial approximations to the exponential for application to one-step integration of initial value ordinary and partial diffe…