Publications

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Refereed Journal Articles

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 (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)
| arXiv version |
Strong-stability-preserving additive linear multistep methods
Yiannis Hadjimichael and David I. Ketcheson, Math. of Comp. (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 |
On long-time instabilities in staggered finite difference simulations of the seismic acoustic wave equations on discontinuous grids
Longfei Gao, David Ketcheson, and David Keyes, Geophysical Journal International, 212(2):1098--1110 (2017)
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 |
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 |
{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

{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)

Technical Reports

A Comparison of {L}agrangian/{E}ulerian Approaches for Tracking the Kinematics of High Deformation Solid Motion
Allen C. Robinson, David I. Ketcheson, T.L. Ames, and G.V. Farnsworth, (2009)
| Free PDF |
{An assessment of semi-discrete central schemes for hyperbolic conservation laws}
Mark A Christon, David I. Ketcheson, and Allen C. Robinson, (2003)
| Published version |

Theses