Submitted preprints

Error Analysis of Explicit Partitioned Runge-Kutta Schemes for Conservation Laws
W. Hundsdorfer, D. I. Ketcheson, and I. Savostianov, (2013)
| arXiv version |
Strong Stability Preserving Multistep Runge-Kutta Methods
Christopher Bresten, Sigal Gottlieb, Zachary Grant, Daniel Higgs, David I. Ketcheson, and Adrian Németh,
| arXiv version | Code |

Refereed Journal Articles

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)
| More information | Published version | arXiv version | Reproducibility repository |
Rational functions with maximal radius of absolute monotonicity
Lajos Lóczi and David I. Ketcheson, LMS Journal of Computation and Mathematics In press. (2013)
| arXiv version |
Numerical simulation of cylindrical solitary waves in periodic media
Manuel Quezada de Luna and David I. Ketcheson, Journal of Scientific Computing In press. (2013)
| More information | Published version | arXiv version | Reproducibility repository |
Spatially partitioned embedded Runge–Kutta methods
David I. Ketcheson, Colin B. Macdonald, and Steven J. Ruuth, Siam Journal On Numerical Analysis, 51(5):2887-2910 In press. (2013)
| More information | Published version | arXiv version |
High-order Wave Propagation Algorithms for Hyperbolic Systems
D I Ketcheson, Matteo Parsani, and R J LeVeque, SIAM Journal on Scientific Computing, 35(1):A351-A377 (2013)
| More information | Published version | arXiv version |
Optimal strong-stability-preserving Runge–Kutta time discretizations for discontinuous Galerkin methods
Ethan J. Kubatko, Benjamin A. Yeager, and David I. Ketcheson, Journal of Scientific Computing (2013)
| Post-print |
Effective order strong stability preserving Runge-Kutta methods
Yiannis Hadjimichael, Colin B. Macdonald, David I. Ketcheson, and J. H. Verner, SIAM Journal on Numerical Analysis, 51(4):2149-2165 In press. (2013)
| More information | Published version | arXiv version |
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)
| More information | Published version | arXiv version | Reproducibility repository | Figures with interactive code |
Shock Dynamics in Layered Periodic Media
David I. Ketcheson and Randall J. LeVeque, Communications in Mathematical Sciences, 10(3):859-874 (2012)
| Published version | arXiv version | Animations and code |
Optimal stability polynomials for numerical integration of initial value problems
David I. Ketcheson and Aron J. Ahmadia, Communications in Applied Mathematics and Computational Science, 7(2):247-271 (2012)
| More information | Published version | arXiv version | code |
Strong Stability Preserving Two-step Runge–Kutta Methods
David I. Ketcheson, Sigal Gottlieb, and Colin B. Macdonald, SIAM Journal on Numerical Analysis, 49(6):2618-2639 (2011)
| More information | Published version | arXiv version |

Conference Proceedings

Optimized low-order explicit Runge-Kutta schemes for high- order spectral difference method
Matteo Parsani and David I Ketcheson, in Proceedings of the 11th Finnish Mechanics Days. (2012)
| More information |
Explicit Runge-Kutta schemes for the spectral difference method applied to wave propagation problems
M Parsani, D I Ketcheson, and W Deconinck, in Proceedings of the European Congress on Computational Methods in Applied Sciences and Engineering. (2012)
Design of optimal explicit linearly stable strong stability preserving Runge-Kutta schemes for the spectral difference method
M Parsani and D I Ketcheson, Extended abstract.in International Conference on Spectral and High Order Methods. (2012)
PetClaw: A Scalable Parallel Nonlinear Wave Propagation Solver for Python
Amal Alghamdi, Aron J. Ahmadia, David I. Ketcheson, Matthew G. Knepley, Kyle T. Mandli, and Lisandro Dalcin, in Proceedings of SpringSim '11. (2011)
| More information |
Using Python to Construct a Scalable Parallel Nonlinear Wave Solver
Kyle T. Mandli, Amal Alghamdi, Aron J. Ahmadia, David I. Ketcheson, and W. Scullin, in SciPy 2011. (2011)

Theses

Nonlinear Wave Propagation and Solitary Wave Formation in Two-Dimensional Heterogeneous Media
Manuel Quezada de Luna, King Abdullah University of Science and Technology (KAUST), (2011)
| More information |
 
 

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