Submitted preprints

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

Error Analysis of Explicit Partitioned Runge-Kutta Schemes for Conservation Laws
W. Hundsdorfer, D. I. Ketcheson, and I. Savostianov, Journal of Scientific Computing (2014)
| Published version | arXiv version | Free Postprint |
Internal error propagation in explicit Runge–Kutta methods
David I Ketcheson, Lajos Lóczi, and Matteo Parsani, SINUM, 52(5):2227-2249 Accepted. (2014)
| Free PDF | Published version | arXiv version |
Numerical simulation of cylindrical solitary waves in periodic media
Manuel Quezada de Luna and David I. Ketcheson, Journal of Scientific Computing, 58(3):672-689 (2014)
| Published version | arXiv version | Free Postprint |
On the absolute stability regions corresponding to partial sums of the exponential function
D. Ketcheson, T. A. Kocsis, and L. Lóczi, IMA Journal of Numerical Analysis (2014)
| 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, 60(2):313-344 (2014)
| Published version | Post-print |
Rational functions with maximal radius of absolute monotonicity
Lajos Lóczi and David I. Ketcheson, LMS Journal of Computation and Mathematics, 17(1):159-205 (2014)
| Published version | arXiv version |
Two-dimensional wave propagation in layered periodic media
Manuel Quezada de Luna and David I. Ketcheson, SIAM Journal on Applied Mathematics Accepted. (2014)
| arXiv version | Reproducibility repository |
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)
| Free PDF | Published version | arXiv version | Reproducibility repository |
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)
| Free PDF | Published version | arXiv version |
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 (2013)
| Free PDF | Published version | arXiv version |
Strong Stability Preserving Explicit Runge–Kutta Methods of Maximal Effective Order
Yiannis Hadjimichael, Colin B. Macdonald, David I. Ketcheson, and J. H. Verner, SIAM Journal on Numerical Analysis, 51(4):2149-2165 (2013)
| Free PDF | 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)
| Free PDF | Published version | arXiv version | Reproducibility repository | Figures with interactive 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)
| Free PDF | Published version | arXiv version | code |
Shock Dynamics in Layered Periodic Media
David I. Ketcheson and Randall J. LeVeque, Communications in Mathematical Sciences, 10(3):859-874 (2012)
| Free PDF | Published version | arXiv version |
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)
| Free PDF | Published version | arXiv version |

Books

Strong Stability Preserving Runge-Kutta And Multistep Time Discretizations
Sigal Gottlieb, David I. Ketcheson, and Chi-Wang Shu, (2011)
| Published version |

Conference Proceedings

Teaching numerical methods with IPython notebooks and inquiry-based learning
David I. Ketcheson, in Proceedings of SciPy 2014. (2014)
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)
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)
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 Proceedings of SciPy 2011. (2011)

Technical Reports

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)
 

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