Assistant Professor of Applied Mathematics and Computational Science
B1/L4 - 4202
Professor Ketcheson's research interests are in the areas of numerical analysis and hyperbolic PDEs. His work includes development of efficient time integration methods, wave propagation algorithms, and modeling of wave phenomena in heterogeneous media.
PyClaw: Accessible, Extensible, Scalable Tools for Wave Propagation Problems David I. Ketcheson, Kyle T. Mandli, Aron J. Ahmadia, Amal Alghamdi, Manuel Quezada de Luna, Matteo Parsani, Matthew G. Knepley, and Matthew Emmett,SIAM Journal on Scientific Computing, 34(4):C210-C231 (2012)
Optimized explicit Runge-Kutta schemes for the spectral difference method applied to wave propagation problems Matteo Parsani, David I. Ketcheson, and W Deconinck, SIAM Journal on Scientific Computing, 35(2):A957-A986 (2013)
Shock Dynamics in Layered Periodic Media David I. Ketcheson and Randall J. LeVeque, Communications in Mathematical Sciences, 10(3):859-874 (2012)
Step Sizes for Strong Stability Preservation with Downwind-Biased Operators David I. Ketcheson, SIAM Journal on Numerical Analysis, 49(4):1649 (2011)
High Order Strong Stability Preserving Time Discretizations Sigal Gottlieb, David I. Ketcheson, and Chi-Wang Shu, Journal of Scientific Computing, 38(3):251-289 (2009)
D.I. Ketcheson. "Runge-Kutta methods with minimum storage implementations". Journal of Computational Physics 229(5):1763 - 1773, 2010
S. Gottlieb, D.I. Ketcheson, and C.W. Shu. "High order strong stability preserving time discretizations". Journal of Scientific Computing, 38(3):251-289, 2009.
D.I. Ketcheson. C.B. Macdonald, and S. Gottlieb. "Optimal implicit strong stability preserving Runge-Kutta methods". Applied Numerical Mathematics, 59(2):373-392, 2009.