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David I. Ketcheson

Professor, Applied Mathematics and Computational Science

Principal Investigator, Numerical Mathematics

Computer, Electrical and Mathematical Science and Engineering Division
Email icon david.ketcheson@kaust.edu.sa
Website icon davidketcheson.info

I'm a numerical analyst and computational scientist, interested especially in time-dependent nonlinear wave phenomena. I'm interested in everything that goes into the computational solution of a scientific. problem: applications, numerical methods, analysis, software development, and high performance computing.

Program Affiliations

Biography

David Ketcheson is a Professor of Applied Mathematics and Computational Science and the principal investigator of the Numerical Mathematics Group. He received his Ph.D. and M.S. in Applied Mathematics from the University of Washington in 2009 and 2008, respectively. Ketcheson obtained B.S. degrees in Mathematics and Physics & Astronomy from Brigham Young University, U.S., in 2004.

Research Interests

Professor Ketcheson’s research involves the analysis and development of numerical methods for integrating ordinary and partial differential equations (PDEs), as well as the implementation of such methods in open source, accessible, high-performance software and its application to understanding the behaviour of nonlinear waves in heterogeneous materials.
Keyword tag icon
numerical analysis PDE nonlinear waves heterogenouse media dispersive waves optimization software development

Education Profile

  • PhD University of Washington, USA, 2009

  • MS University of Washington, USA, 2008

  • BS Brigham Young University, USA, 2004

Publications

  • 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.

  • D.I. Ketcheson. "Highly efficient strong stability preserving Runge-Kutta methods with low-storage implementations". SIAM Journal on Scientific Computing, 30(4):2113-2136, doi: 10.1137/07070485X, 2008.

  • D.I. Ketcheson. "Computation of optimal monotonicity preserving general linear methods". Mathematics of Computation 78(267):1497-1513, 2009.

Research Areas

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