Submitted preprints

A Comparative Study of Iterative Riemann Solvers for the Shallow Water and Euler Equations
Carlos Muñoz Moncayo, Manuel Quezada de Luna, and D. I. Ketcheson, (2022)
| arXiv version |
Design of DIRK Schemes with High Weak Stage Order
Abhijit Biswas, David I. Ketcheson, Benjamin Seibold, and David Shirokoff, (2022)
| arXiv version |
Very High-Order A-stable Stiffly Accurate Diagonally Implicit Runge-Kutta Methods
Yousef Alamri and David I Ketcheson, (2022)
| arXiv version |
Positivity preservation of implicit discretizations of the advection equation
Yiannis Hadjimichael, David I. Ketcheson, and Lajos Lóczi, (2021)
| arXiv version |
Algebraic Structure of the Weak Stage Order Conditions for Runge-Kutta Methods
Abhijit Biswas, David I. Ketcheson, Benjamin Seibold, and David Shirokoff,
| arXiv version |

Refereed Journal Articles

Bound-preserving convex limiting for high-order Runge-Kutta time discretizations of hyperbolic conservation laws
Dmitri Kuzmin, Manuel Luna, David I Ketcheson, and Johanna Grüll, Journal of Scientific Computing, 91(21) (2022)
| Published version | arXiv version |
Computing with B-series
David I. Ketcheson and Hendrik Ranocha, ACM Transactions on Mathematical Software (2022)
| arXiv version |
Maximum principle preserving space and time flux limiting for Diagonally Implicit Runge-Kutta discretizations of scalar convection-diffusion equations
Manuel Quezada Luna and David I. Ketcheson, Journal of Scientific Computing, 92(102) (2022)
| arXiv version |
Numerical simulation and entropy dissipative cure of the carbuncle instability for the shallow water circular hydraulic jump
David I. Ketcheson and Manuel Quezada Luna, International Journal for Numerical Methods in Fluids, 94(6):655--677 (2022)
| Published version | arXiv version |
Optimized Runge-Kutta Methods with Automatic Step Size Control for Compressible Computational Fluid Dynamics
Hendrik Ranocha, Lisandro Dalcin, Matteo Parsani, and David I. Ketcheson, Communications on Applied Mathematics and Computation, 4(4):1191--1228 (2022)
| Published version | arXiv version |
Rapid Evolution of SARS-CoV-2 Challenges Human Defenses
Carlos M. Duarte, David I. Ketcheson, Víctor M. Eguíluz, Susana Agustí, Juan Fernández-Gracia, Tahira Jamil, Elisa Laiolo, Takashi Gojobori, and Intikhab Alam, Scientific Reports, 12(6457) (2022)
| Published version |
A broad class of conservative numerical methods for dispersive wave equations
Hendrik Ranocha, Dimitrios Mitsotakis, and David I Ketcheson, Communications in Computational Physics, 29(4):979--1029 (2021)
| Published version | arXiv version |
A conservative fully-discrete numerical method for the regularised shallow water wave equations
Dimitrios Mitsotakis, Hendrik Ranocha, David I Ketcheson, and Endre Süli, SIAM Journal on Scientific Computing, 43(2):B508--B537 (2021)
| Published version | arXiv version |
A review of matrix SIR Arino epidemic models
Florin Avram, Rim Adenane, and David I. Ketcheson, Mathematics, 9(13):1513 (2021)
| Published version |
On the Rate of Error Growth in Time for Numerical Solutions of Nonlinear Dispersive Wave Equations
Hendrik Ranocha, Manuel Quezada Luna, and David I. Ketcheson, Partial Differential Equations and Applications, 2(6):1--26 Accepted. (2021)
| arXiv version |
Optimal control of an SIR epidemic through finite-time non-pharmaceutical intervention
David I Ketcheson, Journal of Mathematical Biology, 83(1):1--21 (2021)
| Published version | arXiv version |
Positivity-Preserving Adaptive Runge-Kutta Methods
Stephan Nüßlein, Hendrik Ranocha, and David I Ketcheson, Communications in Applied Mathematics and Computational Science, 16(2):155-179 (2021)
| Published version | arXiv version |
Solitary water waves created by variations in bathymetry
Manuel Quezada de Luna and David I Ketcheson, Journal of Fluid Mechanics, 917 (2021)
| Published version | arXiv version |
Assessing the age-and gender-dependence of the severity and case fatality rates of COVID-19 disease in Spain
Paula Moraga, David I Ketcheson, Hernando C Ombao, and Carlos M Duarte, Wellcome Open Research, 5(117):117 (2020)
| Published version |
Effective Rankine-Hugoniot conditions for shock waves in periodic media
David I Ketcheson and Manuel Luna, Communications in Mathematical Sciences, 18(4):1023--1040 (2020)
| Published version | arXiv version |
Energy Stability of Explicit Runge-Kutta Methods for Non-autonomous or Nonlinear Problems
Hendrik Ranocha and David I Ketcheson, SIAM Journal On Numerical Analysis, 58(6):3382--3405 (2020)
| Published version | arXiv version |
General Relaxation Methods for Initial-Value Problems with Application to Multistep Schemes
Hendrik Ranocha, Lajos Lóczi, and David I Ketcheson, Numerische Mathematik, 146 (2020)
| Published version | arXiv version |
More efficient time integration for Fourier pseudo-spectral DNS of incompressible turbulence
David I Ketcheson, Mikael Mortensen, Matteo Parsani, and Nathanael Schilling, International Journal for Numerical Methods in Fluids, 92(2):79--93 (2020)
| Published version | arXiv version |
`NodePy`: A package for the analysis of numerical ODE solvers
David I. Ketcheson, Hendrik Ranocha, Matteo Parsani, Umair Bin Waheed, and Yiannis Hadjimichael, Journal of Open Source Software, 5(55):2515 (2020)
| Published version |
Relaxation Runge-Kutta Methods for Hamiltonian Problems
Hendrik Ranocha and David I Ketcheson, Journal of Scientific Computing, 84 (2020)
| Published version | 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, SIAM Journal on Scientific Computing, 42(2):A612--A638 (2020)
| Published version | arXiv version |
`RK-Opt`: A package for the design of numerical ODE solvers
David I. Ketcheson, Matteo Parsani, Zachary J. Grant, Aron J. Ahmadia, and Hendrik Ranocha, Journal of Open Source Software, 5(54):2514 (2020)
| Published version |
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, 79(6):2615--2638 (2019)
| Published version | arXiv version |
Relaxation Runge-Kutta Methods: Conservation and stability for Inner-Product Norms
David I. Ketcheson, SIAM Journal on Numerical Analysis, 57(6):2850-2870 (2019)
| 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 I. Ketcheson, and David E. Keyes, Geophysical Journal International, 212(2):1098--1110 (2018)
| Published version |
Optimal Monotonicity-Preserving Perturbations of a Given Runge--Kutta 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 |
Explicit Strong Stability Preserving Multistep Runge-Kutta Methods
Christopher Bresten, Sigal Gottlieb, Zachary Grant, Daniel Higgs, David I. Ketcheson, and Adrian Németh, Math. of Comp., 86 (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 I. Ketcheson, and Othmar Koch, BIT Numerical Mathematics, 57(1):55--74 (2017)
| Published version |
Clawpack: building an open source ecosystem for solving hyperbolic PDEs
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 Runge-Kutta 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
David I. Ketcheson, Tihamer A. Kocsis, and Lajos Lóczi, IMA Journal of Numerical Analysis, 35(3):1426-1455 (2015)
| Published version | arXiv version |
A comparison of high order explicit Runge-Kutta, extrapolation, and deferred correction methods in serial and parallel
David I. Ketcheson and Umair bin Waheed, CAMCoS, 9(2):175-200 (2014)
| Free PDF | Published version | arXiv version | Code |
Internal error propagation in explicit Runge--Kutta methods
David I. Ketcheson, Lajos Lóczi, and Matteo Parsani, SIAM Journal on Numerical Analysis, 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 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, 74(6):1852-1869 (2014)
| Published version | 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 Willem 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
David I. Ketcheson, Matteo Parsani, and Randall 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

DIRK Schemes with High Weak Stage Order
David I. Ketcheson, Benjamin Seibold, David Shirokoff, and Dong Zhou, in Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2018. (2018)
| Published version | arXiv version |
Teaching numerical methods with IPython 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
Matteo Parsani, David I. Ketcheson, and Willem 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
Matteo Parsani and David 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

Estimating and forecasting COVID-19 attack rates and mortality
David I Ketcheson, Hernando Ombao, Paula Moraga, Tarig Ballal, and Carlos M Duarte, (2020)
| Published version |
Propagation of internal errors in explicit Runge--Kutta methods and internal stability of SSP and extrapolation methods
David I Ketcheson, Lajos Lóczi, and Matteo Parsani, (2013)
| arXiv version |

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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