Preprints

Spatially partitioned embedded Runge–Kutta methods
David I. Ketcheson, Colin B. Macdonald, and Steven J. Ruuth, (2013)
| arXiv version |
PeanoClaw—A Functionally-Decomposed Approach to Adaptive Mesh Refinement with Local Time Stepping for Hyperbolic Conservation Law Solvers
Kristof Unterweger, Tobias Weinzierl, David I. Ketcheson, and Aron J. Ahmadia, Submitted. (2013)
Rational functions with maximal radius of absolute monotonicity
Lajos Loczi and David I. Ketcheson, Submitted. (2013)
| arXiv version |
Effective order strong stability preserving Runge-Kutta methods
Yiannis Hadjimichael, Colin B. Macdonald, David I. Ketcheson, and J. H. Verner, Submitted. Available at http://arxiv.org/abs/1207.2902. (2012)
| arXiv version |
Numerical simulation of cylindrical solitary waves in periodic media
Manuel Quezada de Luna and David I. Ketcheson, Submitted. Available at http://arxiv.org/abs/1209.5164. (2012)
| arXiv version |
CUDACLAW: A High-performance programmable GPU framework for the solution of hyperbolic PDEs
H. Gorune Ohannessian, George Turkiyyah, Aron J. Ahmadia, and David I. Ketcheson, Submitted to The 22nd International Symposium on High Performance Distributed Computing.

Refereed Journal Articles

High-order Wave Propagation Algorithms for Hyperbolic Systems
DI Ketcheson, Matteo Parsani, and RJ LeVeque, SIAM Journal on Scientific Computing, 35(1):A351-A377 (2013)
| More information | | arXiv version |
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 In press. Pre-print available at http://arxiv.org/abs/1207.5830. (2013)
| arXiv version | | Reproducibility repository | | code |
Shock Dynamics in Layered Periodic Media
David I. Ketcheson and Randall J. LeVeque, Communications in Mathematical Sciences, 10(3):859-874 (2012)
| More information | | 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 |
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 |
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 (2011)
| Published version | | arXiv version |
Step Sizes for Strong Stability Preservation with Downwind-Biased Operators
David I. Ketcheson, SIAM Journal on Numerical Analysis, 49(4):1649 (2011)
| More information | | Published version | | arXiv version | | code |

Books

Conference Proceedings

Using Python to Construct a Scalable Parallel Nonlinear Wave Solver
Kyle T. Mandli, Amal Alghamdi, Aron J. Ahmadia, David I. Ketcheson, and W. Scullin, (2011)
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, (2011)
| More information |

Theses

 
 

© 2011 David Ketcheson and Matteo Parsani
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