David Ketcheson, Ph.D.
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 (15)

DI Ketcheson, Matteo Parsani, RJ LeVeque (2013) Highorder Wave Propagation Algorithms for Hyperbolic Systems, A351A377. In SIAM Journal on Scientific Computing 35 (1).

Matteo Parsani, David I. Ketcheson, W Deconinck (2013) Optimized explicit RungeKutta schemes for the spectral difference method applied to wave propagation problems. In SIAM Journal on Scientific Computing.

David I. Ketcheson, Aron J. Ahmadia (2012) Optimal stability polynomials for numerical integration of initial value problems, 247271. In Communications in Applied Mathematics and Computational Science 7 (2).http://numerics.kaust.edu.sa/papers/s...
http://msp.org/camcos/2012/72/p04.xhtml
http://arxiv.org/abs/1201.3035
Download PDF (1.32 MB) 
David I. Ketcheson, Kyle T. Mandli, Aron J. Ahmadia et al. (2012) PyClaw: Accessible, Extensible, Scalable Tools for Wave Propagation Problems, C210C231. In SIAM Journal on Scientific Computing 34 (4).http://numerics.kaust.edu.sa/papers/p...
http://arxiv.org/abs/1111.6583
https://bitbucket.org/ahmadia/pyclaw...
http://epubs.siam.org/doi/abs/10.1137...
Download PDF (1.74 MB) 
David I. Ketcheson, Randall J. LeVeque (2012) Shock Dynamics in Layered Periodic Media, 859874. In Communications in Mathematical Sciences 10 (3).http://www.intlpress.com/CMS/p/2012/i...
http://arxiv.org/abs/1105.2892
https://bitbucket.org/ketch/layeredme...
Download PDF (639.31 KB) 
David I. Ketcheson (2011) Step Sizes for Strong Stability Preservation with DownwindBiased Operators, 1649. In SIAM Journal on Numerical Analysis 49 (4).http://numerics.kaust.edu.sa/papers/d...
http://arxiv.org/abs/1105.5798
http://link.aip.org/link/SJNAAM/v49/i...
Download PDF (242.63 KB) 
David I. Ketcheson, Sigal Gottlieb, Colin B. Macdonald (2011) Strong Stability Preserving Twostep Runge–Kutta Methods, 2618. In SIAM Journal on Numerical Analysis 49 (6).

David I. Ketcheson (2010) Runge–Kutta methods with minimum storage implementations, 17631773. In Journal of Computational Physics 229 (5).Download PDF (398.46 KB)

David I. Ketcheson (2009) Computation of optimal monotonicity preserving general linear methods, 14971513. In Mathematics of Computation 78 (267).Download PDF (238.53 KB)

Sigal Gottlieb, David I. Ketcheson, ChiWang Shu (2009) High Order Strong Stability Preserving Time Discretizations, 251289. In Journal of Scientific Computing 38 (3).
 See all


Book (1)

Sigal Gottlieb, David I. Ketcheson, ChiWang Shu (2011) Strong Stability Preserving RungeKutta And Multistep Time Discretizations, 188. In WORLD SCIENTIFIC.


Conference Proceedings (3)

Amal Alghamdi, Aron J. Ahmadia, David I. Ketcheson et al. (2011) PetClaw: A Scalable Parallel Nonlinear Wave Propagation Solver for Python. In Proceedings of SpringSim '11.Download PDF (326.42 KB)

Kyle T. Mandli, Amal Alghamdi, Aron J. 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, 609616. In Hyperbolic Problems: Theory, Numerics, Applications: Proceedings of the Eleventh International Conference on Hyperbolic Problems.


Working Paper (6)

Kristof Unterweger, Tobias Weinzierl, David I. Ketcheson et al. (2013) PeanoClawA FunctionallyDecomposed Approach to Adaptive Mesh Refinement with Local Time Stepping for Hyperbolic Conservation Law Solvers.

Lajos Loczi, David I. Ketcheson (2013) Rational functions with maximal radius of absolute monotonicity.

David I. Ketcheson, Colin B. Macdonald, Steven J. Ruuth (2013) Spatially partitioned embedded RungeKutta methods.

Yiannis Hadjimichael, Colin B. Macdonald, David I. Ketcheson et al. (2012) Effective order strong stability preserving RungeKutta methods.

Manuel Quezada de Luna, David I. Ketcheson (2012) Numerical simulation of cylindrical solitary waves in periodic media.Download PDF (2.46 MB)

H. Gorune Ohannessian, George Turkiyyah, Aron J. Ahmadia et al. CUDACLAW: A Highperformance programmable GPU framework for the solution of hyperbolic PDEs.Download PDF (1.37 MB)


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 semidiscrete 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.


Thesis (2)

David I. Ketcheson (2009) High Order Strong Stability Preserving Time Integrators and Numerical Wave Propagation Methods for Hyperbolic PDEs, 196.Download PDF (2.36 MB)

David I. Ketcheson (2004) An algebraic characterization of strong stability preserving RungeKutta schemes.


Computer Program (2)

Kyle T. Mandli, David I. Ketcheson (2011) PyClaw software.

David I. Ketcheson, Matteo Parsani (2011) SharpClaw software.

Awards and Grants

Jul 2008SIAM Student Paper Prize View website

Jun 2008Boeing Award for Research

Aug 2006Computational Science Graduate Fellowship (US DOE) View website

Aug 2004Homeland 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 RungeKutta 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.
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 RungeKutta 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:
Godunovtype methods for hyperbolic conservation laws
Introduction to numerical methods
Numerical analysis for PDEs
Aţ Ţuwāl, Saudi Arabia
Classes taught:
Godunovtype 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.
Ph.D.
Contact Information
Webpage:  davidketcheson.info 
Public Groups
Public groups David is a member of
 David Ketcheson's Library
 High Level Languages in High...
 Implicit Solvers for Nonlinear...
 Internal stability RungeKutta
 King Abdullah University of Science...
 Nonlinear hyperbolic PDE solvers on GPUs
 Performance comparison of WENO and DG...
 PyClaw Publications
 Reproducible Research
 RungeKutta stability regions
Public groups David is following
Location
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