Highly Efficient Strong Stability-Preserving Runge-Kutta Methods with Low-Storage Implementations. - David I. Ketcheson (SIAM J. Sci. Comput., 2008)

High Order Strong Stability Preserving Time Discretizations. - Sigal Gottlieb; David I. Ketcheson; Chi-Wang Shu (J. Sci. Comput., 2009)

Computation of optimal monotonicity preserving general linear methods. - David I. Ketcheson (Math. Comput., 2009)

Runge-Kutta methods with minimum storage implementations. - David I. Ketcheson (J. Comput. Phys., 2010)

Using Python to Construct a Scalable Parallel Nonlinear Wave Solver. - Kyle T. Mandli; Amal Alghamdi; Aron J. Ahmadia; David I. Ketcheson; William Scullin (SciPy, 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; Lisandro Dalcín (SpringSim (HPC), 2011)

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; Matthew Emmett (CoRR, 2011)

Step Sizes for Strong Stability Preservation with Downwind-Biased Operators. - David I. Ketcheson (SIAM J. Numer. Anal., 2011)

Strong Stability Preserving Two-step Runge-Kutta Methods. - David I. Ketcheson; Sigal Gottlieb; Colin B. Macdonald (SIAM J. Numer. Anal., 2011)

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; Matthew Emmett (SIAM J. Sci. Comput., 2012)

Strong Stability Preserving Explicit Runge-Kutta Methods of Maximal Effective Order. - Yiannis Hadjimichael; Colin B. Macdonald; David I. Ketcheson; James H. Verner (SIAM J. Numer. Anal., 2013)

Spatially Partitioned Embedded Runge-Kutta Methods. - David I. Ketcheson; Colin B. Macdonald; Steven J. Ruuth (SIAM J. Numer. Anal., 2013)

High-Order Wave Propagation Algorithms for Hyperbolic Systems. - David I. Ketcheson; Matteo Parsani; Randall J. LeVeque (SIAM J. Sci. Comput., 2013)

Optimized Explicit Runge-Kutta Schemes for the Spectral Difference Method Applied to Wave Propagation Problems. - Matteo Parsani; David I. Ketcheson; W. Deconinck (SIAM J. Sci. Comput., 2013)

Teaching numerical methods with IPython notebooks and inquiry-based learning. - David I. Ketcheson (SciPy, 2014)

Optimal Strong-Stability-Preserving Runge-Kutta Time Discretizations for Discontinuous Galerkin Methods. - Ethan J. Kubatko; Benjamin A. Yeager; David I. Ketcheson (J. Sci. Comput., 2014)

Numerical Simulation of Cylindrical Solitary Waves in Periodic Media. - Manuel Quezada de Luna; David I. Ketcheson (J. Sci. Comput., 2014)

Rational functions with maximal radius of absolute monotonicity. - Lajos Lóczi; David I. Ketcheson (LMS J. Comput. Math., 2014)

Two-Dimensional Wave Propagation in Layered Periodic Media. - Manuel Quezada de Luna; David I. Ketcheson (SIAM J. Appl. Math., 2014)

Internal Error Propagation in Explicit Runge-Kutta Methods. - David I. Ketcheson; Lajos Lóczi; Matteo Parsani (SIAM J. Numer. Anal., 2014)

Error Analysis of Explicit Partitioned Runge-Kutta Schemes for Conservation Laws. - Willem Hundsdorfer; David I. Ketcheson; Igor Savostianov (J. Sci. Comput., 2015)

Diffractons: Solitary Waves Created by Diffraction in Periodic Media. - David I. Ketcheson; Manuel Quezada de Luna (Multiscale Model. Simul., 2015)

Clawpack: building an open source ecosystem for solving hyperbolic PDEs. - Kyle T. Mandli; Aron J. Ahmadia; Marsha J. Berger; Donna A. Calhoun; David L. George; Yiannis Hadjimichael; David I. Ketcheson; Grady I. Lemoine; Randall J. LeVeque (PeerJ Comput. Sci., 2016)

The Clawpack 5.x software. - Kyle T. Mandli; Aron J. Ahmadia; Marsha J. Berger; Donna A. Calhoun; David L. George; Yiannis Hadjimichael; David I. Ketcheson; Grady I. Lemoine; Randall J. LeVeque (PeerJ Prepr., 2016)

Strong Stability Preserving Explicit Linear Multistep Methods with Variable Step Size. - Yiannis Hadjimichael; David I. Ketcheson; Lajos Lóczi; Adrián Németh (SIAM J. Numer. Anal., 2016)

Dense Output for Strong Stability Preserving Runge-Kutta Methods. - David I. Ketcheson; Lajos Lóczi; Aliya Jangabylova; Adil Kusmanov (J. Sci. Comput., 2017)

Explicit strong stability preserving multistep Runge-Kutta methods. - Christopher Bresten; Sigal Gottlieb; Zachary Grant; Daniel Higgs; David I. Ketcheson; Adrián Németh (Math. Comput., 2017)

CUDACLAW: A high-performance programmable GPU framework for the solution of hyperbolic PDEs. - H. Gorune Ohannessian; George Turkiyyah; Aron J. Ahmadia; David I. Ketcheson (CoRR, 2018)

Positivity for Convective Semi-discretizations. - Imre Fekete; David I. Ketcheson; Lajos Lóczi (J. Sci. Comput., 2018)

Optimal Monotonicity-Preserving Perturbations of a Given Runge-Kutta Method. - Inmaculada Higueras; David I. Ketcheson; Tihamér A. Kocsis (J. Sci. Comput., 2018)

Strong-stability-preserving additive linear multistep methods. - Yiannis Hadjimichael; David I. Ketcheson (Math. Comput., 2018)

Energy Stability of Explicit Runge-Kutta Methods for Non-autonomous or Nonlinear Problems. - Hendrik Ranocha; David I. Ketcheson (CoRR, 2019)

A Path-Integral Method for Solution of the Wave Equation with Continuously Varying Coefficients. - Jithin D. George; David I. Ketcheson; Randall J. LeVeque (SIAM J. Appl. Math., 2019)

Relaxation Runge-Kutta Methods: Conservation and Stability for Inner-Product Norms. - David I. Ketcheson (SIAM J. Numer. Anal., 2019)

Positivity-Preserving Adaptive Runge-Kutta Methods. - Stephan Nüßlein; Hendrik Ranocha; David I. Ketcheson (CoRR, 2020)

A Broad Class of Conservative Numerical Methods for Dispersive Wave Equations. - Hendrik Ranocha; Dimitrios Mitsotakis; David I. Ketcheson (CoRR, 2020)

Bound-preserving convex limiting for high-order Runge-Kutta time discretizations of hyperbolic conservation laws. - Dmitri Kuzmin; Manuel Quezada de Luna; David I. Ketcheson; Johanna Grüll (CoRR, 2020)

A conservative fully-discrete numerical method for the regularised shallow water wave equations. - Dimitrios Mitsotakis; Hendrik Ranocha; David I. Ketcheson; Endre Süli (CoRR, 2020)

RK-Opt: A package for the design of numerical ODE solvers. - David I. Ketcheson; Matteo Parsani; Zachary Grant; Aron J. Ahmadia; Hendrik Ranocha (J. Open Source Softw., 2020)

NodePy: A package for the analysis of numerical ODE solvers. - David I. Ketcheson; Hendrik Ranocha; Matteo Parsani; Umair bin Waheed; Yiannis Hadjimichael (J. Open Source Softw., 2020)

Relaxation Runge-Kutta Methods for Hamiltonian Problems. - Hendrik Ranocha; David I. Ketcheson (J. Sci. Comput., 2020)

General relaxation methods for initial-value problems with application to multistep schemes. - Hendrik Ranocha; Lajos Lóczi; David I. Ketcheson (Numerische Mathematik, 2020)

Energy Stability of Explicit Runge-Kutta Methods for Nonautonomous or Nonlinear Problems. - Hendrik Ranocha; David I. Ketcheson (SIAM J. Numer. Anal., 2020)

Relaxation Runge-Kutta Methods: Fully Discrete Explicit Entropy-Stable Schemes for the Compressible Euler and Navier-Stokes Equations. - Hendrik Ranocha; Mohammed Sayyari; Lisandro Dalcín; Matteo Parsani; David I. Ketcheson (SIAM J. Sci. Comput., 2020)

On the Rate of Error Growth in Time for Numerical Solutions of Nonlinear Dispersive Wave Equations. - Hendrik Ranocha; Manuel Quezada de Luna; David I. Ketcheson (CoRR, 2021)

Numerical simulation and entropy dissipative cure of the carbuncle instability for the shallow water circular hydraulic jump. - David I. Ketcheson; Manuel Quezada de Luna (CoRR, 2021)

Optimized Runge-Kutta Methods with Automatic Step Size Control for Compressible Computational Fluid Dynamics. - Hendrik Ranocha; Lisandro Dalcín; Matteo Parsani; David I. Ketcheson (CoRR, 2021)

Positivity preservation of implicit discretizations of the advection equation. - Yiannis Hadjimichael; David I. Ketcheson; Lajos Lóczi (CoRR, 2021)

A Conservative Fully Discrete Numerical Method for the Regularized Shallow Water Wave Equations. - Dimitrios Mitsotakis; Hendrik Ranocha; David I. Ketcheson; Endre Süli (SIAM J. Sci. Comput., 2021)

Design of DIRK Schemes with High Weak Stage Order. - Abhijit Biswas; David I. Ketcheson; Benjamin Seibold; David Shirokoff (CoRR, 2022)

A Comparative Study of Iterative Riemann Solvers for the Shallow Water and Euler Equations. - Carlos Muñoz Moncayo; Manuel Quezada de Luna; David I. Ketcheson (CoRR, 2022)

Very High-Order A-stable Stiffly Accurate Diagonally Implicit Runge-Kutta Methods. - Yousef Alamri; David I. Ketcheson (CoRR, 2022)

Bound-preserving Flux Limiting for High-Order Explicit Runge-Kutta Time Discretizations of Hyperbolic Conservation Laws. - Dmitri Kuzmin; Manuel Quezada de Luna; David I. Ketcheson; Johanna Grüll (J. Sci. Comput., 2022)

Maximum Principle Preserving Space and Time Flux Limiting for Diagonally Implicit Runge-Kutta Discretizations of Scalar Convection-diffusion Equations. - Manuel Quezada de Luna; David I. Ketcheson (J. Sci. Comput., 2022)

Order conditions for Runge-Kutta-like methods with solution-dependent coefficients. - Thomas Izgin; David I. Ketcheson; Andreas Meister 003 (CoRR, 2023)

A high-order finite volume method for Maxwell's equations in heterogeneous and time-varying media. - Damian P. San Roman Alerigi; David I. Ketcheson; Boon S. Ooi (CoRR, 2023)

Explicit Runge Kutta Methods that Alleviate Order Reduction. - Abhijit Biswas; David I. Ketcheson; Steven Roberts; Benjamin Seibold; David Shirokoff (CoRR, 2023)

Computing with B-series. - David I. Ketcheson; Hendrik Ranocha (ACM Trans. Math. Softw., 2023)

Multiple-Relaxation Runge Kutta Methods for Conservative Dynamical Systems. - Abhijit Biswas; David I. Ketcheson (J. Sci. Comput., 2023)

Approximation of arbitrarily high-order PDEs by first-order hyperbolic relaxation. - David I. Ketcheson; Abhijit Biswas (CoRR, 2024)

Pseudo-Energy-Preserving Explicit Runge-Kutta Methods. - Gabriel A. Barrios de León; David I. Ketcheson; Hendrik Ranocha (CoRR, 2024)

Accurate Solution of the Nonlinear Schrödinger Equation via Conservative Multiple-Relaxation ImEx Methods. - Abhijit Biswas; David I. Ketcheson (SIAM J. Sci. Comput., 2024)

Algebraic Structure of the Weak Stage Order Conditions for Runge-Kutta Methods. - Abhijit Biswas; David I. Ketcheson; Benjamin Seibold; David Shirokoff (SIAM J. Numer. Anal., 2024)

Very High-Order A-Stable Stiffly Accurate Diagonally Implicit Runge-Kutta Methods with Error Estimators. - Yousef Alamri; David I. Ketcheson (J. Sci. Comput., 2024)

A Multiscale Model for Weakly Nonlinear Shallow Water Waves over Periodic Bathymetry. - David I. Ketcheson; Lajos Lóczi; Giovanni Russo 001 (Multiscale Model. Simul., 2025)

Explicit Runge-Kutta Methods that Alleviate Order Reduction. - Abhijit Biswas; David I. Ketcheson; Steven B. Roberts; Benjamin Seibold; David Shirokoff (SIAM J. Numer. Anal., 2025)

A Hyperbolic Approximation of the Nonlinear Schrödinger Equation. - Abhijit Biswas; Laila S. Busaleh; David I. Ketcheson; Carlos Muñoz Moncayo; Manvendra Rajvanshi (CoRR, 2025)

Traveling-Wave Solutions and Structure-Preserving Numerical Methods for a Hyperbolic Approximation of the Korteweg-de Vries Equation. - Abhijit Biswas; David I. Ketcheson; Hendrik Ranocha; Jochen Schütz (J. Sci. Comput., 2025)