Publications

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Submitted preprints

Effective Rankine-Hugoniot conditions for shock waves in periodic media
David I Ketcheson and Manuel Quezada Luna, (2019)
| arXiv version |

Energy Stability of Explicit Runge-Kutta Methods for Non-autonomous or Nonlinear Problems
Hendrik Ranocha and David I Ketcheson, (2019)
| arXiv version |

Relaxation Runge-Kutta Methods: Fully-Discrete Explicit Entropy-Stable Schemes for the Euler and Navier-Stokes Equations
Hendrik Ranocha, Mohammed Sayyari, Lisandro Dalcin, Matteo Parsani, and David I Ketcheson, (2019)
| arXiv version |

Solitary water waves created by variations in bathymetry
Manuel Luna and David I Ketcheson, (2019)
| arXiv version |

Refereed Journal Articles

Shoaling on Steep Continental Slopes: Relating Transmission and Reflection Coefficients to Green's Law
Jithin George, David I. Ketcheson, and Randall J. LeVeque, Pure and Applied Geophysics (2019)
| Published version | arXiv version |

A Path-integral method for solution of the wave equation with continuously-varying coefficients
Jithin D George, David I Ketcheson, and Randall J LeVeque, SIAM Journal on Applied Mathematics (2019)
| arXiv version |

More efficient time integration for Fourier pseudo-spectral DNS of incompressible turbulence
David I Ketcheson, Mikael Mortensen, Matteo Parsani, and Nathanael Schilling, IJNMF (2019)
| arXiv version |

Relaxation Runge-Kutta Methods: Conservation and stability for Inner-Product Norms
David I Ketcheson, SIAM Journal on Numerical Analysis (2019)
| arXiv version |

On long-time instabilities in staggered finite difference simulations of the seismic acoustic wave equations on discontinuous grids
L. Gao, D. I. Ketcheson, and D E Keyes, Geophysical Journal International, 212(2):1098--1110 (2018)
| Published version |

Optimal Monotonicity-Preserving Perturbations of a Given {R}unge--{K}utta Method
Inmaculada Higueras, David I. Ketcheson, and Tihamér A. Kocsis, Journal of Scientific Computing, 76(3):1337--1369 (2018)
| Published version | arXiv version |

Positivity for convective semi-discretizations
Imre Fekete, David I Ketcheson, and Lajos Lóczi, Journal of Scientific Computing, 74(1):244--266 (2018)
| Published version | arXiv version |

Strong-stability-preserving additive linear multistep methods
Yiannis Hadjimichael and David I. Ketcheson, Math. of Comp., 87(313):2295--2320 (2018)
| Published version | arXiv version |

Dense output for strong stability preserving Runge--Kutta methods
David I Ketcheson, Lajos Lóczi, Aliya Jangabylova, and Adil Kusmanov, Journal of Scientific Computing, 71(3):944--958 (2017)
| Published version | arXiv version |

Practical splitting methods for the adaptive integration of nonlinear evolution equations. Part I: Construction of optimized schemes and pairs of schemes
Winfried Auzinger, Harald Hofstätter, David Ketcheson, and Othmar Koch, BIT Numerical Mathematics, 57(1):55--74 (2017)
| Published version |

Strong Stability Preserving Multistep {R}unge-{K}utta Methods
Christopher Bresten, Sigal Gottlieb, Zachary Grant, Daniel Higgs, David I. Ketcheson, and Adrian Németh, Math. of Comp., 86 (2017)
| Published version | arXiv version |

Clawpack: building an open source ecosystem for solving hyperbolic {PDE}s
Kyle T Mandli, Aron J Ahmadia, Marsha Berger, Donna Calhoun, David L George, Yiannis Hadjimichael, David I Ketcheson, Grady I Lemoine, and Randall J LeVeque, PeerJ Computer Science, 2 (2016)
| Published version |

Strong stability preserving explicit linear multistep methods with variable step size
Yiannis Hadjimichael, David I. Ketcheson, Lajos Lóczi, and Adrián Németh, Siam Journal On Numerical Analysis, 54(5):2799-2832 (2016)
| Published version | arXiv version |

Diffractons: {2D} solitary waves in layered periodic media
David I. Ketcheson and Manuel Quezada de Luna, Multiscale Modeling \& Simulation, 13(1):440--458 (2015)
| Published version | arXiv version |

Error Analysis of Explicit Partitioned {R}unge-{K}utta Schemes for Conservation Laws
W. Hundsdorfer, D. I. Ketcheson, and I. Savostianov, Journal of Scientific Computing, 63(3):633--653 (2015)
| 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, 35(3):1426-1455 (2015)
| Published version | arXiv version |

A comparison of high order explicit {R}unge-{K}utta, extrapolation, and deferred correction methods in serial and parallel
D. I. Ketcheson and Umair bin Waheed, CAMCoS, 9(2):175-200 (2014)
| Free PDF | Published version | arXiv version | Code |

Internal error propagation in explicit {R}unge--{K}utta methods
David I Ketcheson, Lajos Lóczi, and Matteo Parsani, SINUM, 52(5):2227--2249 (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 |

Optimal strong-stability-preserving {R}unge--{K}utta time discretizations for discontinuous {G}alerkin 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, 74(6):1852-1869 (2014)
| Published version | arXiv version | Reproducibility repository |

Optimized explicit {R}unge-{K}utta 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 {R}unge--{K}utta 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 {R}unge--{K}utta 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 |

{Step Sizes for Strong Stability Preservation with Downwind-Biased Operators}
David I. Ketcheson, SIAM Journal on Numerical Analysis, 49(4):1649 (2011)
| Published version | arXiv version | Reproducibility repository |

{R}unge--{K}utta methods with minimum storage implementations
David I. Ketcheson, Journal of Computational Physics, 229(5):1763--1773 (2010)
| Published version | Post-print |

{Computation of optimal monotonicity preserving general linear methods}
David I. Ketcheson, Mathematics of Computation, 78(267):1497--1513 (2009)
| Free PDF | Published version |

{Optimal implicit strong stability preserving Runge--Kutta methods}
David I. Ketcheson, Colin B. Macdonald, and Sigal Gottlieb, Applied Numerical Mathematics, 59(2):373--392 (2009)
| Published version | Post-print |

{High Order Strong Stability Preserving Time Discretizations}
Sigal Gottlieb, David I. Ketcheson, and Chi-Wang Shu, Journal of Scientific Computing, 38(3):251--289 (2009)
| Published version | Post-print |

Highly Efficient Strong Stability Preserving {R}unge-{K}utta Methods with Low-Storage Implementations
David I. Ketcheson, SIAM Journal on Scientific Computing, 30(4):2113--2136 (2008)
| Free PDF | Published version |

{Surface and Volume Integrals of Uncollided Adjoint Fluxes and Forward-Adjoint Flux Products}
Jeffrey A. Favorite, Keith C. Bledsoe, and David I. Ketcheson, Nuclear Science and Engineering (2008)

{Using the Levenberg-Marquardt method for the solution of inverse transport problems}
Jeffrey A. Favorite and David I. Ketcheson, Transactions of the American Nuclear Society, 95 (2006)
| Free PDF |

{On the practical importance of the SSP property for Runge-Kutta time integrators for some common Godunov-type schemes}
David I. Ketcheson and Allen C. Robinson, International Journal for Numerical Methods in Fluids, 48(3):271--303 (2005)
| Published version |

Books

Strong Stability Preserving {R}unge-{K}utta And Multistep Time Discretizations
Sigal Gottlieb, David I. Ketcheson, and Chi-Wang Shu, (2011)
| Published version |

Conference Proceedings

DIRK Schemes with High Weak Stage Order
David Ketcheson, Benjamin Seibold, David Shirokoff, and Dong Zhou, in Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2018. (2018)
| arXiv version |

{T}eaching numerical methods with {I}{P}ython notebooks and inquiry-based learning
David I. Ketcheson, Available from http://conference.scipy.org/proceedings/scipy2014/ketcheson.htmlin {P}roceedings of the 13th {P}ython in {S}cience {C}onference. (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 {R}unge-{K}utta 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 {P}ython 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)

{WENOCLAW: A higher order wave propagation method}
David I. Ketcheson and Randall J. LeVeque, in Hyperbolic Problems: Theory, Numerics, Applications: Proceedings of the Eleventh International Conference on Hyperbolic Problems. (2008)
| Free PDF | Published version |

The luminosities of horizontal branches and {RR} {L}yrae stars in globular clusters
DH McNamara, MB Rose, PJ Brown, DI Ketcheson, JE Maxwell, KM Smith, and RC Wooley, in IAU Colloq. 193: Variable Stars in the Local Group. (2004)

{CCD} Photometry of Variables in the Field of {QS} Geminorum
DI Ketcheson, PJ Brown, and EG Hintz, in Bulletin of the American Astronomical Society. (2002)