publications.html

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title: Publications
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<h2>Refereed Journal Articles</h2>
<div id="pub" class="pub filterable time-integration  runge-kutta  downwinding  ssp">
<a href="https://doi.org/10.1007/s10915-018-0664-3"><name> Optimal Monotonicity-Preserving Perturbations of a Given {R}unge--{K}utta Method </name><br>
</a>
<authors> Inmaculada  Higueras, David I. Ketcheson,  and Tihamér A. Kocsis</authors>,
<journal> Journal of Scientific Computing</journal> (2018)<br>
<links>  | <a href="http://dx.doi.org/10.1007/s10915-018-0664-3">Published version</a>  | <a href="http://arxiv.org/abs/1505.04024">arXiv version</a> |</links><div style="clear:both"></div>

</div>

<div id="pub" class="pub filterable ssp  time-integration  runge-kutta  hyperbolic">
<a href="http://arxiv.org/abs/1610.00228"><name> Positivity for convective semi-discretizations </name><br>
</a>
<authors> Imre  Fekete, David I Ketcheson,  and Lajos  Lóczi</authors>,
<journal> Journal of Scientific Computing</journal>, 74(1):244--266 (2018)<br>
<links>  | <a href="http://arxiv.org/abs/1610.00228">arXiv version</a> |</links><div style="clear:both"></div>

</div>

<div id="pub" class="pub filterable time-integration  ssp  multistep">
<a href="http://dx.doi.org/10.1090/mcom/3296"><name> Strong-stability-preserving additive linear multistep methods </name><br>
</a>
<authors> Yiannis  Hadjimichael  and David I. Ketcheson</authors>,
<journal> Math. of Comp.</journal> (2018)<br>
<links>  | <a href="http://dx.doi.org/10.1090/mcom/3296">Published version</a>  | <a href="http://arxiv.org/abs/1601.03637">arXiv version</a> |</links><div style="clear:both"></div>

</div>

<div id="pub" class="pub filterable ssp  time-integration  runge-kutta">
<a href="http://dx.doi.org/10.1007/s10915-016-0331-5"><name> Dense output for strong stability preserving Runge--Kutta methods </name><br>
</a>
<authors> David I Ketcheson, Lajos  Lóczi, Aliya  Jangabylova,  and Adil  Kusmanov</authors>,
<journal> Journal of Scientific Computing</journal>, 71(3):944--958 (2017)<br>
<links>  | <a href="http://dx.doi.org/10.1007/s10915-016-0331-5">Published version</a>  | <a href="http://arxiv.org/abs/1605.02429">arXiv version</a> |</links><div style="clear:both"></div>

</div>

<div id="pub" class="pub filterable hyperbolic">
<name> On long-time instabilities in staggered finite difference simulations of the seismic acoustic wave equations on discontinuous grids </name><br>
<authors> Longfei  Gao, David  Ketcheson,  and David  Keyes</authors>,
<journal> Geophysical Journal International</journal>, 212(2):1098--1110 (2017)<div style="clear:both"></div>

</div>

<div id="pub" class="pub filterable time-integration">
<a href="http://dx.doi.org/10.1007/s10543-016-0626-9"><name> Practical splitting methods for the adaptive integration of nonlinear evolution equations. Part I: Construction of optimized schemes and pairs of schemes </name><br>
</a>
<authors> Winfried  Auzinger, Harald  Hofstätter, David  Ketcheson,  and Othmar  Koch</authors>,
<journal> BIT Numerical Mathematics</journal>, 57(1):55--74 (2017)<br>
<links>  | <a href="http://dx.doi.org/10.1007/s10543-016-0626-9">Published version</a> |</links><div style="clear:both"></div>

</div>

<div id="pub" class="pub filterable time-integration  ssp  runge-kutta  multistep">
<a href="http://dx.doi.org/10.1090/mcom/3115"><name> Strong Stability Preserving Multistep {R}unge-{K}utta Methods </name><br>
</a>
<authors> Christopher  Bresten, Sigal  Gottlieb, Zachary  Grant, Daniel  Higgs, David I. Ketcheson,  and Adrian  Németh</authors>,
<journal> Math. of Comp.</journal>, 86 (2017)<br>
<links>  | <a href="http://dx.doi.org/10.1090/mcom/3115">Published version</a>  | <a href="http://arxiv.org/abs/1307.8058">arXiv version</a> |</links><div style="clear:both"></div>

</div>

<div id="pub" class="pub filterable hyperbolic  software">
<a href="http://dx.doi.org/10.7717/peerj-cs.68"><name> Clawpack: building an open source ecosystem for solving hyperbolic {PDE}s </name><br>
</a>
<authors> 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</authors>,
<journal> PeerJ Computer Science</journal>, 2 (2016)<br>
<links>  | <a href="http://dx.doi.org/10.7717/peerj-cs.68">Published version</a> |</links><div style="clear:both"></div>

</div>

<div id="pub" class="pub filterable time-integration  ssp  multistep">
<img src="http://davidketcheson.info/assets/paper_images/2016_ssp_lmm_vss.png" align="right" />
<a href="http://dx.doi.org/10.1137/15M101717X"><name> Strong stability preserving explicit linear multistep methods with variable step size </name><br>
</a>
<authors> Yiannis  Hadjimichael, David I. Ketcheson, Lajos  Lóczi,  and Adrián  Németh</authors>,
<journal> Siam Journal On Numerical Analysis</journal>, 54(5):2799-2832 (2016)<br>
<links>  | <a href="http://dx.doi.org/10.1137/15M101717X">Published version</a>  | <a href="http://arxiv.org/abs/1504.04107">arXiv version</a> |</links><div style="clear:both"></div>

</div>

<div id="pub" class="pub filterable periodic-media  hyperbolic">
<img src="http://davidketcheson.info/assets/paper_images/2015_diffractons.png" align="right" />
<a href="http://arxiv.org/abs/1312.4122"><name> Diffractons: {2D} solitary waves in layered periodic media </name><br>
</a>
<authors> David I. Ketcheson  and Manuel  Quezada de Luna</authors>,
<journal> Multiscale Modeling \& Simulation</journal>, 13(1):440--458 (2015)<br>
<links>  | <a href="http://dx.doi.org/10.1137/130946526">Published version</a>  | <a href="http://arxiv.org/abs/1312.4122">arXiv version</a> |</links><div style="clear:both"></div>

</div>

<div id="pub" class="pub filterable runge-kutta time-integration multi-rate">
<a href="http://dx.doi.org/10.1007/s10915-014-9906-1"><name> Error Analysis of Explicit Partitioned {R}unge-{K}utta Schemes for Conservation Laws </name><br>
</a>
<authors> W.  Hundsdorfer, D. I. Ketcheson,  and I.  Savostianov</authors>,
<journal> Journal of Scientific Computing</journal>, 63(3):633--653 (2015)<br>
<links>  | <a href="http://dx.doi.org/10.1007/s10915-014-9906-1">Published version</a>  | <a href="http://arxiv.org/abs/1310.7168">arXiv version</a>  | <a href="http://davidketcheson.info/assets/papers/2014_partitioned_multirate_postprint.pdf">Free Postprint</a> |</links><div style="clear:both"></div>

</div>

<div id="pub" class="pub filterable runge-kutta time-integration">
<img src="http://davidketcheson.info/assets/paper_images/2015_exponential_stability_regions.png" align="right" />
<a href="http://imajna.oxfordjournals.org/cgi/content/abstract/dru039?ijkey=k8rlLsKUMTuJVk4&keytype=ref"><name> On the absolute stability regions corresponding to partial sums of the exponential function </name><br>
</a>
<authors> D.  Ketcheson, T. A. Kocsis,  and L.  Lóczi</authors>,
<journal> IMA Journal of Numerical Analysis</journal>, 35(3):1426-1455 (2015)<br>
<links>  | <a href="http://dx.doi.org/10.1093/imanum/dru039">Published version</a>  | <a href="http://arxiv.org/abs/1312.0216">arXiv version</a> |</links><div style="clear:both"></div>

</div>

<div id="pub" class="pub filterable extrapolation  deferred correction  runge-kutta  time-integration">
<img src="http://davidketcheson.info/assets/paper_images/2014_hork.png" align="right" />
<a href="http://davidketcheson.info/assets/papers/2014_hork.pdf"><name> A comparison of high order explicit {R}unge-{K}utta, extrapolation, and deferred correction methods in serial and parallel </name><br>
</a>
<authors> D. I. Ketcheson  and Umair  bin Waheed</authors>,
<journal> CAMCoS</journal>, 9(2):175-200 (2014)<br>
<links>  | <a href="http://davidketcheson.info/assets/papers/2014_hork.pdf">Free PDF</a>  | <a href="http://dx.doi.org/10.2140/camcos.2014.9.175">Published version</a>  | <a href="http://arxiv.org/abs/1305.6165">arXiv version</a>  | <a href="http://github.com/ketch/high_order_RK_RR/">Code</a> |</links><div style="clear:both"></div>

</div>

<div id="pub" class="pub filterable internal stability  runge-kutta  extrapolation  ssp  time-integration">
<img src="http://davidketcheson.info/assets/paper_images/2014_internal_stability.png" align="right" />
<a href="http://davidketcheson.info/assets/papers/2014_internal_stability.pdf"><name> Internal error propagation in explicit {R}unge--{K}utta methods </name><br>
</a>
<authors> David I Ketcheson, Lajos  Lóczi,  and Matteo  Parsani</authors>,
<journal> SINUM</journal>, 52(5):2227--2249 (2014)<br>
<links>  | <a href="http://davidketcheson.info/assets/papers/2014_internal_stability.pdf">Free PDF</a>  | <a href="http://dx.doi.org/10.1137/130936245">Published version</a>  | <a href="http://arxiv.org/abs/1309.1317">arXiv version</a> |</links><div style="clear:both"></div>

</div>

<div id="pub" class="pub filterable heterogeneous media  nonlinear waves  p-system  periodic-media  solitary waves  soliton interaction  hyperbolic">
<a href="http://dx.doi.org/10.1007/s10915-013-9747-3"><name> Numerical simulation of cylindrical solitary waves in periodic media </name><br>
</a>
<authors> Manuel  Quezada de Luna  and David I. Ketcheson</authors>,
<journal> Journal of Scientific Computing</journal>, 58(3):672-689 (2014)<br>
<links>  | <a href="http://dx.doi.org/10.1007/s10915-013-9747-3">Published version</a>  | <a href="http://arxiv.org/abs/1209.5164">arXiv version</a>  | <a href="http://davidketcheson.info/assets/papers/2014_cylindrical_solitary_waves_postprint.pdf">Free Postprint</a> |</links><div style="clear:both"></div>

</div>

<div id="pub" class="pub filterable strong stability preserving  runge-kutta  discontinuous galerkin  ssp  time-integration">
<a href="http://dx.doi.org/10.1007/s10915-013-9796-7"><name> Optimal strong-stability-preserving {R}unge--{K}utta time discretizations for discontinuous {G}alerkin methods </name><br>
</a>
<authors> Ethan J. Kubatko, Benjamin A. Yeager,  and David I. Ketcheson</authors>,
<journal> Journal of Scientific Computing</journal>, 60(2):313-344 (2014)<br>
<links>  | <a href="http://dx.doi.org/10.1007/s10915-013-9796-7">Published version</a>  | <a href="http://www.davidketcheson.info/assets/papers/dg_ssp_stability.pdf">Post-print</a> |</links><div style="clear:both"></div>

</div>

<div id="pub" class="pub filterable absolute monotonicity rational function  ssp">
<img src="http://davidketcheson.info/assets/paper_images/2014_rational_absmon.png" align="right" />
<a href="http://dx.doi.org/10.1112/S1461157013000326"><name> Rational functions with maximal radius of absolute monotonicity </name><br>
</a>
<authors> Lajos  Lóczi  and David I. Ketcheson</authors>,
<journal> LMS Journal of Computation and Mathematics</journal>, 17(1):159--205 (2014)<br>
<links>  | <a href="http://dx.doi.org/10.1112/S1461157013000326">Published version</a>  | <a href="http://arxiv.org/abs/1303.6651">arXiv version</a> |</links><div style="clear:both"></div>

</div>

<div id="pub" class="pub filterable periodic-media  hyperbolic">
<img src="http://davidketcheson.info/assets/paper_images/quezada_dispersion.png" align="right" />
<a href="http://dx.doi.org/10.1137/130937962"><name> Two-dimensional wave propagation in layered periodic media </name><br>
</a>
<authors> Manuel  Quezada de Luna  and David I. Ketcheson</authors>,
<journal> SIAM Journal on Applied Mathematics</journal>, 74(6):1852-1869 (2014)<br>
<links>  | <a href="http://dx.doi.org/10.1137/130937962">Published version</a>  | <a href="http://arxiv.org/abs/1309.6666">arXiv version</a>  | <a href="https://github.com/ketch/effective_dispersion_RR">Reproducibility repository</a> |</links><div style="clear:both"></div>

</div>

<div id="pub" class="pub filterable runge-kutta method of lines optimization spectral difference time-integration">
<img src="http://davidketcheson.info/assets/paper_images/2013_sd_erk.png" align="right" />
<a href="http://davidketcheson.info/assets/papers/2013_sd_erk.pdf"><name> Optimized explicit {R}unge-{K}utta schemes for the spectral difference method applied to wave propagation problems </name><br>
</a>
<authors> Matteo  Parsani, David I. Ketcheson,  and W  Deconinck</authors>,
<journal> SIAM Journal on Scientific Computing</journal>, 35(2):A957-A986 (2013)<br>
<links>  | <a href="http://davidketcheson.info/assets/papers/2013_sd_erk.pdf">Free PDF</a>  | <a href="http://dx.doi.org/10.1137/120885899">Published version</a>  | <a href="http://arxiv.org/abs/1207.5830">arXiv version</a>  | <a href="http://github.com/ketch/optimized-erk-sd-rr">Reproducibility repository</a> |</links><div style="clear:both"></div>

</div>

<div id="pub" class="pub filterable runge-kutta weno clawpack finite volumes high order methods hyperbolic pdes numerical methods scientific computing scientific software sharpclaw hyperbolic">
<img src="http://davidketcheson.info/assets/paper_images/2013_sharpclaw.png" align="right" />
<a href="http://davidketcheson.info/assets/papers/sharpclaw.pdf"><name> {High-order Wave Propagation Algorithms for Hyperbolic Systems} </name><br>
</a>
<authors> D I Ketcheson, Matteo  Parsani,  and R J LeVeque</authors>,
<journal> SIAM Journal on Scientific Computing</journal>, 35(1):A351--A377 (2013)<br>
<links>  | <a href="http://davidketcheson.info/assets/papers/sharpclaw.pdf">Free PDF</a>  | <a href="http://dx.doi.org/10.1137/110830320">Published version</a>  | <a href="http://arxiv.org/abs/1111.3499">arXiv version</a> |</links><div style="clear:both"></div>

</div>

<div id="pub" class="pub filterable runge-kutta methods convergence positivity time-integration">
<img src="http://davidketcheson.info/assets/paper_images/2013_sperk.png" align="right" />
<a href="http://davidketcheson.info/assets/papers/2013_sperk.pdf"><name> Spatially partitioned embedded {R}unge--{K}utta methods </name><br>
</a>
<authors> David I. Ketcheson, Colin B. Macdonald,  and Steven J. Ruuth</authors>,
<journal> Siam Journal On Numerical Analysis</journal>, 51(5):2887-2910 (2013)<br>
<links>  | <a href="http://davidketcheson.info/assets/papers/2013_sperk.pdf">Free PDF</a>  | <a href="http://dx.doi.org/10.1137/130906258">Published version</a>  | <a href="http://arxiv.org/abs/1301.4006">arXiv version</a> |</links><div style="clear:both"></div>

</div>

<div id="pub" class="pub filterable effective order strong stability preservation ssp  runge-kutta  time-integration">
<a href="http://davidketcheson.info/assets/papers/2013_effective_order_ssp.pdf"><name> Strong Stability Preserving Explicit Runge--Kutta Methods of Maximal Effective Order </name><br>
</a>
<authors> Yiannis  Hadjimichael, Colin B. Macdonald, David I. Ketcheson,  and J. H. Verner</authors>,
<journal> SIAM Journal on Numerical Analysis</journal>, 51(4):2149--2165 (2013)<br>
<links>  | <a href="http://davidketcheson.info/assets/papers/2013_effective_order_ssp.pdf">Free PDF</a>  | <a href="http://dx.doi.org/10.1137/120884201">Published version</a>  | <a href="http://arxiv.org/abs/1207.2902">arXiv version</a> |</links><div style="clear:both"></div>

</div>

<div id="pub" class="pub filterable clawpack finite volumes hyperbolic pdes petclaw pyclaw python sharpclaw  hyperbolic">
<img src="http://davidketcheson.info/assets/paper_images/2012_pyclaw-sisc.png" align="right" />
<a href="http://davidketcheson.info/assets/papers/2012_pyclaw-sisc.pdf"><name> {PyClaw: Accessible, Extensible, Scalable Tools for Wave Propagation Problems} </name><br>
</a>
<authors> David I. Ketcheson, Kyle T. Mandli, Aron J. Ahmadia, Amal  Alghamdi, Manuel  Quezada de Luna, Matteo  Parsani, Matthew G. Knepley,  and Matthew  Emmett</authors>,
<journal> SIAM Journal on Scientific Computing</journal>, 34(4):C210--C231 (2012)<br>
<links>  | <a href="http://davidketcheson.info/assets/papers/2012_pyclaw-sisc.pdf">Free PDF</a>  | <a href="http://dx.doi.org/10.1137/110856976">Published version</a>  | <a href="http://arxiv.org/abs/1111.6583">arXiv version</a>  | <a href="http://bitbucket.org/ahmadia/pyclaw-sisc-rr">Reproducibility repository</a>  | <a href="http://numerics.kaust.edu.sa/papers/pyclaw-sisc/pyclaw-sisc.html">Figures with interactive code</a> |</links><div style="clear:both"></div>

</div>

<div id="pub" class="pub filterable numerical analysis optimization and control  time-integration  runge-kutta">
<img src="http://davidketcheson.info/assets/paper_images/2012_optimal_stability_polynomials.png" align="right" />
<a href="http://davidketcheson.info/assets/papers/2012_optimal_stability_polynomials.pdf"><name> Optimal stability polynomials for numerical integration of initial value problems </name><br>
</a>
<authors> David I. Ketcheson  and Aron J. Ahmadia</authors>,
<journal> Communications in Applied Mathematics and Computational Science</journal>, 7(2):247--271 (2012)<br>
<links>  | <a href="http://davidketcheson.info/assets/papers/2012_optimal_stability_polynomials.pdf">Free PDF</a>  | <a href="http://dx.doi.org/10.2140/camcos.2012.7.247">Published version</a>  | <a href="http://arxiv.org/abs/1201.3035">arXiv version</a>  | <a href="http://github.com/ketch/RK-opt">code</a> |</links><div style="clear:both"></div>

</div>

<div id="pub" class="pub filterable clawpack computational science elasticity hyperbolic pdes laminates layered media nonlinear waves periodic media sharpclaw shock waves solitary waves spatially varying flux  hyperbolic  periodic-media">
<img src="http://davidketcheson.info/assets/paper_images/2012_ketchesonleveque_periodic.png" align="right" />
<a href="http://davidketcheson.info/assets/papers/2012_ketchesonleveque_periodic.pdf"><name> Shock Dynamics in Layered Periodic Media </name><br>
</a>
<authors> David I. Ketcheson  and Randall J. LeVeque</authors>,
<journal> Communications in Mathematical Sciences</journal>, 10(3):859--874 (2012)<br>
<links>  | <a href="http://davidketcheson.info/assets/papers/2012_ketchesonleveque_periodic.pdf">Free PDF</a>  | <a href="http://dx.doi.org/10.4310/CMS.2012.v10.n3.a7">Published version</a>  | <a href="http://arxiv.org/abs/1105.2892">arXiv version</a> |</links><div style="clear:both"></div>

</div>

<div id="pub" class="pub filterable ssp  runge-kutta  time-integration">
<a href="http://davidketcheson.info/assets/papers/2011_tsrk.pdf"><name> Strong Stability Preserving Two-step {R}unge--{K}utta Methods </name><br>
</a>
<authors> David I. Ketcheson, Sigal  Gottlieb,  and Colin B. Macdonald</authors>,
<journal> SIAM Journal on Numerical Analysis</journal>, 49(6):2618-2639 (2011)<br>
<links>  | <a href="http://davidketcheson.info/assets/papers/2011_tsrk.pdf">Free PDF</a>  | <a href="http://dx.doi.org/10.1137/10080960X">Published version</a>  | <a href="http://arxiv.org/abs/1106.3626">arXiv version</a> |</links><div style="clear:both"></div>

</div>

<div id="pub" class="pub filterable numerical analysis runge-kutta ssp downwind hyperbolic pdes implicit linear multistep methods strong stability preservation hyperbolic time-integration">
<a href="http://numerics.kaust.edu.sa/papers/dwrk2011/downwind_ssp.html"><name> {Step Sizes for Strong Stability Preservation with Downwind-Biased Operators} </name><br>
</a>
<authors> David I. Ketcheson</authors>,
<journal> SIAM Journal on Numerical Analysis</journal>, 49(4):1649 (2011)<br>
<links>  | <a href="http://dx.doi.org/10.1137/100818674">Published version</a>  | <a href="http://arxiv.org/abs/1105.5798">arXiv version</a>  | <a href="http://github.com/ketch/downwind_IRK_RR">Reproducibility repository</a> |</links><div style="clear:both"></div>

</div>

<div id="pub" class="pub filterable ode solver runge-kutta shu-osher form algorithms low-storage numerical methods optimization time-integration">
<a href="http://linkinghub.elsevier.com/retrieve/pii/S0021999109006251"><name> {R}unge--{K}utta methods with minimum storage implementations </name><br>
</a>
<authors> David I. Ketcheson</authors>,
<journal> Journal of Computational Physics</journal>, 229(5):1763--1773 (2010)<br>
<links>  | <a href="http://dx.doi.org/10.1016/j.jcp.2009.11.006">Published version</a>  | <a href="http://www.davidketcheson.info/assets/papers/2010_LSRK_postprint.pdf">Post-print</a> |</links><div style="clear:both"></div>

</div>

<div id="pub" class="pub filterable ode solver ssp optimization strong stability preservation time-integration">
<a href="http://davidketcheson.info/assets/papers/2009_monotonicity-glms.pdf"><name> {Computation of optimal monotonicity preserving general linear methods} </name><br>
</a>
<authors> David I. Ketcheson</authors>,
<journal> Mathematics of Computation</journal>, 78(267):1497--1513 (2009)<br>
<links>  | <a href="http://davidketcheson.info/assets/papers/2009_monotonicity-glms.pdf">Free PDF</a>  | <a href="http://dx.doi.org/10.1090/S0025-5718-09-02209-1">Published version</a> |</links><div style="clear:both"></div>

</div>

<div id="pub" class="pub filterable runge-kutta ssp implicit optimization strong stability preservation time-integration">
<a href="http://linkinghub.elsevier.com/retrieve/pii/S0168927408000688"><name> {Optimal implicit strong stability preserving Runge--Kutta methods} </name><br>
</a>
<authors> David I. Ketcheson, Colin B. Macdonald,  and Sigal  Gottlieb</authors>,
<journal> Applied Numerical Mathematics</journal>, 59(2):373--392 (2009)<br>
<links>  | <a href="http://dx.doi.org/10.1016/j.apnum.2008.03.034">Published version</a>  | <a href="http://www.davidketcheson.info/assets/papers/implicit_ssp_postprint.pdf">Post-print</a> |</links><div style="clear:both"></div>

</div>

<div id="pub" class="pub filterable euler's method ode solver runge-kutta ssp contractivity general linear methods linear multistep methods method of lines monotonicity multistep methods nonlinear stability numerical analysis numerical methods optimization positivity review runge-kutta methods spectral deferred correction methods spectral deferred corrections strong stability preservation strong stability preserving time discretization total variation diminishing time-integration">
<a href="http://www.springerlink.com/index/10.1007/s10915-008-9239-z"><name> {High Order Strong Stability Preserving Time Discretizations} </name><br>
</a>
<authors> Sigal  Gottlieb, David I. Ketcheson,  and Chi-Wang  Shu</authors>,
<journal> Journal of Scientific Computing</journal>, 38(3):251--289 (2009)<br>
<links>  | <a href="http://dx.doi.org/10.1007/s10915-008-9239-z">Published version</a>  | <a href="http://www.davidketcheson.info/assets/papers/sspreview.pdf">Post-print</a> |</links><div style="clear:both"></div>

</div>

<div id="pub" class="pub filterable ode solver runge-kutta ssp low-storage optimization strong stability preservation time-integration">
<a href="http://davidketcheson.info/assets/papers/2008_explicit_ssp.pdf"><name> Highly Efficient Strong Stability Preserving {R}unge-{K}utta Methods with Low-Storage Implementations </name><br>
</a>
<authors> David I. Ketcheson</authors>,
<journal> SIAM Journal on Scientific Computing</journal>, 30(4):2113--2136 (2008)<br>
<links>  | <a href="http://davidketcheson.info/assets/papers/2008_explicit_ssp.pdf">Free PDF</a>  | <a href="http://dx.doi.org/10.1137/07070485X">Published version</a> |</links><div style="clear:both"></div>

</div>

<div id="pub" class="pub filterable radiation transport">
<a href="http://www.new.ans.org/pubs/journals/nse/a_9070"><name> {Surface and Volume Integrals of Uncollided Adjoint Fluxes and Forward-Adjoint Flux Products} </name><br>
</a>
<authors> Jeffrey A. Favorite, Keith C. Bledsoe,  and David I. Ketcheson</authors>,
<journal> Nuclear Science and Engineering</journal> (2008)<div style="clear:both"></div>

</div>

<div id="pub" class="pub filterable inverse problem optimization radiation transport">
<a href="http://davidketcheson.info/assets/papers/2007_Favorite_marq.pdf"><name> {Using the Levenberg-Marquardt method for the solution of inverse transport problems} </name><br>
</a>
<authors> Jeffrey A. Favorite  and David I. Ketcheson</authors>,
<journal> Transactions of the American Nuclear Society</journal>, 95 (2006)<br>
<links>  | <a href="http://davidketcheson.info/assets/papers/2007_Favorite_marq.pdf">Free PDF</a> |</links><div style="clear:both"></div>

</div>

<div id="pub" class="pub filterable runge-kutta ssp optimization strong stability preservation time-integration">
<a href="http://doi.wiley.com/10.1002/fld.837"><name> {On the practical importance of the SSP property for Runge-Kutta time integrators for some common Godunov-type schemes} </name><br>
</a>
<authors> David I. Ketcheson  and Allen C. Robinson</authors>,
<journal> International Journal for Numerical Methods in Fluids</journal>, 48(3):271--303 (2005)<br>
<links>  | <a href="http://dx.doi.org/10.1002/fld.837">Published version</a> |</links><div style="clear:both"></div>

</div>

<h2>Books</h2>
<div id="pub" class="pub filterable ode solver runge-kutta ssp contractivity general linear methods initial value problems linear multistep methods low-storage monotonicity nonlinear stability optimization positivity strong stability preservation total variation diminishing time-integration">
<a href="http://www.amazon.com/Stability-Preserving-Runge-Kutta-Multistep-Discretizations/dp/9814289264"><name> Strong Stability Preserving {R}unge-{K}utta And Multistep Time Discretizations </name><br>
</a>
<authors> Sigal  Gottlieb, David I. Ketcheson,  and Chi-Wang  Shu</authors>,
 (2011)<br>
<links>  | <a href="http://dx.doi.org/10.1142/7498">Published version</a> |</links><div style="clear:both"></div>

</div>

<h2>Conference Proceedings</h2>
<div id="pub" class="pub filterable ">
<name> {T}eaching numerical methods with {I}{P}ython notebooks and inquiry-based learning </name><br>
<authors> David I. Ketcheson</authors>,
 Available from http://conference.scipy.org/proceedings/scipy2014/ketcheson.htmlin {P}roceedings of the 13th {P}ython in {S}cience {C}onference. (2014)<div style="clear:both"></div>

</div>

<div id="pub" class="pub filterable high-order spectral difference method optimized explicit runge-kutta wave propagation  hyperbolic  time-integration  runge-kutta">
<a href="http://www.oulu.fi/mekapaivat2012/meka2012_proceedings.pdf"><name> {Optimized low-order explicit Runge-Kutta schemes for high- order spectral difference method} </name><br>
</a>
<authors> Matteo  Parsani  and David I Ketcheson</authors>,
in Proceedings of the 11th Finnish Mechanics Days. (2012)<div style="clear:both"></div>

</div>

<div id="pub" class="pub filterable runge-kutta  time-integration">
<name> Explicit Runge-Kutta schemes for the spectral difference method applied to wave propagation problems </name><br>
<authors> M  Parsani, D I Ketcheson,  and W  Deconinck</authors>,
in Proceedings of the European Congress on Computational Methods in Applied Sciences and Engineering. (2012)<div style="clear:both"></div>

</div>

<div id="pub" class="pub filterable runge-kutta  time-integration">
<name> Design of optimal explicit linearly stable strong stability preserving {R}unge-{K}utta schemes for the spectral difference method </name><br>
<authors> M  Parsani  and D I Ketcheson</authors>,
 Extended abstract.in International Conference on Spectral and High Order Methods. (2012)<div style="clear:both"></div>

</div>

<div id="pub" class="pub filterable bluegene/p shaheen clawpack computational science finite volumes high performance computing numpy parallel petclaw petsc petsc4py python scaling scientific computing scientific software weak scaling hyperbolic">
<a href="http://numerics.kaust.edu.sa/papers/petclaw2011/petclaw2011.html"><name> {PetClaw: A Scalable Parallel Nonlinear Wave Propagation Solver for Python} </name><br>
</a>
<authors> Amal  Alghamdi, Aron J. Ahmadia, David I. Ketcheson, Matthew G. Knepley, Kyle T. Mandli,  and Lisandro  Dalcin</authors>,
in Proceedings of SpringSim '11. (2011)<div style="clear:both"></div>

</div>

<div id="pub" class="pub filterable python hyperbolic">
<a href="http://conference.scipy.org/proceedings/scipy2011/pdfs/mandli_etal.pdf"><name> Using {P}ython to Construct a Scalable Parallel Nonlinear Wave Solver </name><br>
</a>
<authors> Kyle T. Mandli, Amal  Alghamdi, Aron J. Ahmadia, David I. Ketcheson,  and W.  Scullin</authors>,
in Proceedings of SciPy 2011. (2011)<div style="clear:both"></div>

</div>

<div id="pub" class="pub filterable weno finite volumes hyperbolic pdes hyperbolic">
<a href="http://www.davidketcheson.info/assets/papers/hyp2006_wenoclaw.pdf"><name> {WENOCLAW: A higher order wave propagation method} </name><br>
</a>
<authors> David I. Ketcheson  and Randall J. LeVeque</authors>,
in Hyperbolic Problems: Theory, Numerics, Applications: Proceedings of the Eleventh International Conference on Hyperbolic Problems. (2008)<br>
<links>  | <a href="http://www.davidketcheson.info/assets/papers/hyp2006_wenoclaw.pdf">Free PDF</a>  | <a href="http://dx.doi.org/10.1.1.123.7865">Published version</a> |</links><div style="clear:both"></div>

</div>

<div id="pub" class="pub filterable ">
<name> The luminosities of horizontal branches and {RR} {L}yrae stars in globular clusters </name><br>
<authors> DH  McNamara, MB  Rose, PJ  Brown, DI  Ketcheson, JE  Maxwell, KM  Smith,  and RC  Wooley</authors>,
in IAU Colloq. 193: Variable Stars in the Local Group. (2004)<div style="clear:both"></div>

</div>

<div id="pub" class="pub filterable ">
<name> {CCD} Photometry of Variables in the Field of {QS} Geminorum </name><br>
<authors> DI  Ketcheson, PJ  Brown,  and EG  Hintz</authors>,
in Bulletin of the American Astronomical Society. (2002)<div style="clear:both"></div>

</div>

<h2>Technical Reports</h2>
<div id="pub" class="pub filterable time-integration">
<a href="http://davidketcheson.info/assets/papers/2015_practical_splitting.pdf"><name> Practical splitting methods for the adaptive integration of nonlinear evolution equations. Part I: Construction of optimized schemes and pairs of schemes </name><br>
</a>
<authors> W.  Auzinger, H.  Hofstatter, D. I. Ketcheson,  and O.  Koch</authors>,
 (2015)<br>
<links>  | <a href="http://davidketcheson.info/assets/papers/2015_practical_splitting.pdf">Free PDF</a> |</links><div style="clear:both"></div>

</div>

<div id="pub" class="pub filterable internal stability  runge-kutta  extrapolation  ssp  time-integration">
<a href="http://arxiv.org/abs/1309.1317"><name> Propagation of internal errors in explicit {R}unge--{K}utta methods and internal stability of {SSP} and extrapolation methods </name><br>
</a>
<authors> David I Ketcheson, Lajos  Lóczi,  and Matteo  Parsani</authors>,
 (2013)<br>
<links>  | <a href="http://arxiv.org/abs/1309.1317">arXiv version</a> |</links><div style="clear:both"></div>

</div>

<div id="pub" class="pub filterable eulerian kinematics lagrangian solid mechanics hyperbolic">
<a href="http://davidketcheson.info/assets/papers/2009_kinematics.pdf"><name> A Comparison of {L}agrangian/{E}ulerian Approaches for Tracking the Kinematics of High Deformation Solid Motion </name><br>
</a>
<authors> Allen C. Robinson, David I. Ketcheson, T.L.  Ames,  and G.V.  Farnsworth</authors>,
 (2009)<br>
<links>  | <a href="http://davidketcheson.info/assets/papers/2009_kinematics.pdf">Free PDF</a> |</links><div style="clear:both"></div>

</div>

<div id="pub" class="pub filterable ">
<a href="http://davidketcheson.info/assets/papers/2005_ketcheson_lanl_scattering.pdf"><name> {Inverse Solution Methods and Perturbation Estimates for Radiation Leakage without Scattering} </name><br>
</a>
<authors> David I. Ketcheson</authors>,
 (2005)<br>
<links>  | <a href="http://davidketcheson.info/assets/papers/2005_ketcheson_lanl_scattering.pdf">Free PDF</a> |</links><div style="clear:both"></div>

</div>

<div id="pub" class="pub filterable ssp central schemes godunov type methods hyperbolic pdes method of lines strong stability preservation time discretization time-integration runge-kutta">
<a href="http://dx.doi.org/10.2172/918357"><name> {An assessment of semi-discrete central schemes for hyperbolic conservation laws} </name><br>
</a>
<authors> Mark A Christon, David I. Ketcheson,  and Allen C. Robinson</authors>,
 (2003)<br>
<links>  | <a href="http://dx.doi.org/10.2172/918357">Published version</a> |</links><div style="clear:both"></div>

</div>

<h2>Theses</h2>
<div id="pub" class="pub filterable ode solver runge-kutta ssp downwinding general linear methods homogenization linear multistep methods nonlinear waves numerical analysis numerical methods optimization sharpclaw stability stegotons strong stability preservation total variation diminishing time-integration hyperbolic">
<a href="http://davidketcheson.info/assets/papers/ketchesonphdthesis.pdf"><name> {High Order Strong Stability Preserving Time Integrators and Numerical Wave Propagation Methods for Hyperbolic PDEs} </name><br>
</a>
<authors> David I. Ketcheson</authors>,
 University of Washington, (2009)<br>
<links>  | <a href="http://davidketcheson.info/assets/papers/ketchesonphdthesis.pdf">Free PDF</a> |</links><div style="clear:both"></div>

</div>


</div>

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