David Ketcheson, Ph.D.

Assistant Professor of Applied Mathematics, King Abdullah University of Science and Technology (KAUST)
Thuwal, Saudi Arabia

Research field: Mathematics - Mathematical Modelling and Industrial Mathematics
Numerical analysis
Numerical methods
Hyperbolic PDEs
Waves in heterogeneous media
Scientific software
Scientific computing
Shallow water waves
Electromagnetic waves
Elastic waves

Publications

Journal Article (12)
- David I. Ketcheson, Kyle T Mandli, Aron Ahmadia et al. (2012) PyClaw: Accessible, Extensible, Scalable Tools for Wave Propagation Problems. In SIAM Journal on Scientific Computing.
  http://arxiv.org/abs/1111.6583
  
  Download PDF (3.14 MB)
- David I. Ketcheson, Randall J. LeVeque (2012) Shock Dynamics in Layered Periodic Materials. In Communications in Mathematical Sciences 10 (21).
  http://arxiv.org/abs/1105.2892
  
  Download PDF (603.23 KB)
- David I. Ketcheson (2011) Step Sizes for Strong Stability Preservation with Downwind-biased Operators, 1649-1660. In SIAM Journal on Numerical Analysis 49 (4).
  http://numerics.kaust.edu.sa/papers/d...
  http://arxiv.org/abs/1105.5798
  
  Download PDF (178.96 KB)
- David I. Ketcheson, Sigal Gottlieb, Colin B. Macdonald (2011) Strong stability preserving two-step Runge-Kutta methods, 2618-2639. In SIAM Journal on Numerical Analysis 49 (6).
  http://dx.doi.org/10.1137/10080960X
  http://link.aip.org/link/SJNAAM/v49/i...
  http://arxiv.org/abs/1106.3626
  
  Download PDF (466.67 KB)
- David I. Ketcheson (2010) Runge–Kutta methods with minimum storage implementations, 1763-1773. In Journal of Computational Physics 229 (5).
  http://linkinghub.elsevier.com/retrie...
  
  Download PDF (398.46 KB)
- David I. Ketcheson (2009) Computation of optimal monotonicity preserving general linear methods, 1497-1513. In Mathematics of Computation.
  http://www.amath.washington.edu/~ketc...
  
  Download PDF (238.53 KB)
- Sigal Gottlieb, David I. Ketcheson, Chi-Wang Shu (2009) High Order Strong Stability Preserving Time Discretizations, 251-289. In Journal of Scientific Computing 38 (3).
  http://www.springerlink.com/index/10....
  
  Download PDF (729.58 KB)
- David I. Ketcheson, Colin B. Macdonald, Sigal Gottlieb (2009) Optimal Implicit Strong Stability Preserving Runge-Kutta Methods, 373. In Applied Numerical Mathematics.
- David I. Ketcheson (2008) Highly Efficient Strong Stability Preserving Runge-Kutta Methods with Low-Storage Implementations, 2113-2136. In SIAM Journal on Scientific Computing.
  Download PDF (375.47 KB)
- Jeffrey A. Favorite, Keith C. Bledsoe, David I. Ketcheson (2008) Surface and Volume Integrals of Uncollided Adjoint Fluxes and Forward-Adjoint Flux Products. In Nuclear Science and Engineering.
- See all
Book (1)
- Sigal Gottlieb, David I. Ketcheson, Chi-Wang Shu (2011) Strong Stability Preserving Runge-Kutta and Multistep Time Discretizations, 188. In World Scientific Publishing Company.
  http://www.amazon.com/Stability-Prese...
Conference Proceedings (3)
- Amal Alghamdi, Aron Ahmadia, David I. Ketcheson et al. (2011) PetClaw: A Scalable Parallel Nonlinear Wave Propagation Solver for Python. In Proceedings of SpringSim '11.
  http://numerics.kaust.edu.sa/papers/p...
  
  Download PDF (326.42 KB)
- Kyle T Mandli, Amal Alghamdi, Aron Ahmadia et al. (2011) Using Python to Construct a Scalable Parallel Nonlinear Wave Solver. In SciPy 2011.
- David I. Ketcheson, Randall J. LeVeque (2008) WENOCLAW: A higher order wave propagation method, 1123. In Hyperbolic Problems: Theory, Numerics, Applications: Proceedings of the Eleventh International Conference on Hyperbolic Problems.
  http://www.amath.washington.edu/~ketc...
  
  Download PDF (177.54 KB)
Working Paper (3)
- David I. Ketcheson, Aron J. Ahmadia (2012) Optimal Runge--Kutta Stability Regions.
  http://arxiv.org/abs/1201.3035
- David I. Ketcheson, Matteo Parsani, Randall J. LeVeque (2011) High-order wave propagation algorithms for hyperbolic systems.
  http://numerics.kaust.edu.sa/papers/s...
  
  Download PDF (1.57 MB)
- Manuel Quezada, David I. Ketcheson (2011) Radial solitary waves in two-dimensional periodic media.
Report (2)
- David I. Ketcheson (2005) Inverse Solution Methods and Perturbation Estimates for Radiation Leakage without Scattering..
- Mark A Christon, David I. Ketcheson, Allen C. Robinson (2003) An assessment of semi-discrete central schemes for hyperbolic conservation laws.
  Download PDF (2.01 MB)
Web Page (1)
- David I. Ketcheson, Colin B. Macdonald, Sigal Gottlieb (2008) SSP Website.
  http://www.cfm.brown.edu/people/sg/ss...
Thesis (2)
- David I. Ketcheson (2009) High Order Strong Stability Preserving Time Integrators and Numerical Wave Propagation Methods for Hyperbolic PDEs, 196.
  http://www.amath.washington.edu/~ketc...
  
  Download PDF (2.36 MB)
- David I. Ketcheson (2004) An algebraic characterization of strong stability preserving Runge-Kutta schemes.
Computer Program (2)
- Kyle T Mandli, David I. Ketcheson (2011) PyClaw software.
  http://numerics.kaust.edu.sa/pyclaw
  http://github.com/clawpack/pyclaw
- David I. Ketcheson, Matteo Parsani (2011) SharpClaw software.
  http://numerics.kaust.edu.sa/sharpclaw
  http://github.com/clawpack/sharpclaw

Awards and Grants

Jul 2008

SIAM Student Paper Prize View website
Jun 2008

Boeing Award for Research
Aug 2006

Computational Science Graduate Fellowship (US DOE) View website
Aug 2004

Homeland Security Fellowship (US DHS)

Biographical Information

Dr. David I. Ketcheson is Assistant Professor of Applied Mathematics and Computational Science in the Division of Mathematical and Computer Sciences and Engineering at KAUST. He assumed his duties in July 2009.

Dr. Ketcheson was a U.S. Department of Energy Computational Science Graduate Fellow within the Department of Applied Mathematics at the University of Washington. Previously, he was a U.S. Department of Homeland Security Graduate Fellow. Dr. Ketcheson received the 2008 Student Paper Prize from the Society for Industrial and Applied Mathematics for his work on efficient strong stability preserving Runge-Kutta methods.

Dr. Ketcheson’s work has featured in the U.S Department of Energy publication, “DEIXIS”. He is a member of the Society for Industrial and Applied Mathematics and the American Mathematical Society, and is the founding advisor of the SIAM student chapter at KAUST.

Dr. Ketcheson earned his doctoral and master’s degrees in Applied Mathematics from the University of Washington, USA, under the supervision of Randall J. LeVeque. He received bachelor's degrees in Physics and Astronomy and in Mathematics from Brigham Young University, USA.

CV

Professional Experience

2009 - Present

Assistant Professor of Applied Mathematics at King Abdullah University of Science and Technology (KAUST)
Aţ Ţuwāl, Saudi Arabia
Classes taught:
Godunov-type methods for hyperbolic conservation laws
Introduction to numerical methods
Numerical analysis for PDEs

Education

Aug 2004 - Jun 2009

University of Washington in Seattle, Washington, United States
Ph.D.