David I. Ketcheson

Publication Activity (10 Years)

Years Active: 2008-2024
Publications (10 Years): 50

Top Topics

Numerical Methods

Wave Propagation

Top Venues

J. Sci. Comput.

SIAM J. Numer. Anal.

SIAM J. Appl. Math.

Publications

Yousef Alamri, David I. Ketcheson
Very High-Order A-Stable Stiffly Accurate Diagonally Implicit Runge-Kutta Methods with Error Estimators. J. Sci. Comput. 100 (3) (2024)
David I. Ketcheson, Abhijit Biswas
Approximation of arbitrarily high-order PDEs by first-order hyperbolic relaxation. CoRR (2024)
Gabriel A. Barrios de León, David I. Ketcheson, Hendrik Ranocha
Pseudo-Energy-Preserving Explicit Runge-Kutta Methods. CoRR (2024)
Abhijit Biswas, David I. Ketcheson, Benjamin Seibold, David Shirokoff
Algebraic Structure of the Weak Stage Order Conditions for Runge-Kutta Methods. SIAM J. Numer. Anal. 62 (1) (2024)
Thomas Izgin, David I. Ketcheson, Andreas Meister
Order conditions for Runge-Kutta-like methods with solution-dependent coefficients. CoRR (2023)
Abhijit Biswas, David I. Ketcheson
Multiple-Relaxation Runge Kutta Methods for Conservative Dynamical Systems. CoRR (2023)
David I. Ketcheson, Hendrik Ranocha
Computing with B-series. ACM Trans. Math. Softw. 49 (2) (2023)
Abhijit Biswas, David I. Ketcheson, Steven Roberts, Benjamin Seibold, David Shirokoff
Explicit Runge Kutta Methods that Alleviate Order Reduction. CoRR (2023)
Abhijit Biswas, David I. Ketcheson
Accurate Solution of the Nonlinear Schrödinger Equation via Conservative Multiple-Relaxation ImEx Methods. CoRR (2023)
Damian P. San Roman Alerigi, David I. Ketcheson, Boon S. Ooi
A high-order finite volume method for Maxwell's equations in heterogeneous and time-varying media. CoRR (2023)
Abhijit Biswas, David I. Ketcheson
Multiple-Relaxation Runge Kutta Methods for Conservative Dynamical Systems. J. Sci. Comput. 97 (1) (2023)
Manuel Quezada de Luna, David I. Ketcheson
Maximum Principle Preserving Space and Time Flux Limiting for Diagonally Implicit Runge-Kutta Discretizations of Scalar Convection-diffusion Equations. J. Sci. Comput. 92 (3) (2022)
Abhijit Biswas, David I. Ketcheson, Benjamin Seibold, David Shirokoff
Design of DIRK Schemes with High Weak Stage Order. CoRR (2022)
Yousef Alamri, David I. Ketcheson
Very High-Order A-stable Stiffly Accurate Diagonally Implicit Runge-Kutta Methods. CoRR (2022)
Carlos Muñoz Moncayo, Manuel Quezada de Luna, David I. Ketcheson
A Comparative Study of Iterative Riemann Solvers for the Shallow Water and Euler Equations. CoRR (2022)
Dmitri Kuzmin, Manuel Quezada de Luna, David I. Ketcheson, Johanna Grüll
Bound-preserving Flux Limiting for High-Order Explicit Runge-Kutta Time Discretizations of Hyperbolic Conservation Laws. J. Sci. Comput. 91 (1) (2022)
Abhijit Biswas, David I. Ketcheson, Benjamin Seibold, David Shirokoff
Algebraic Structure of the Weak Stage Order Conditions for Runge-Kutta Methods. CoRR (2022)
Dimitrios Mitsotakis, Hendrik Ranocha, David I. Ketcheson, Endre Süli
A Conservative Fully Discrete Numerical Method for the Regularized Shallow Water Wave Equations. SIAM J. Sci. Comput. 43 (2) (2021)
Yiannis Hadjimichael, David I. Ketcheson, Lajos Lóczi
Positivity preservation of implicit discretizations of the advection equation. CoRR (2021)
Hendrik Ranocha, Manuel Quezada de Luna, David I. Ketcheson
On the Rate of Error Growth in Time for Numerical Solutions of Nonlinear Dispersive Wave Equations. CoRR (2021)
David I. Ketcheson, Hendrik Ranocha
Computing with B-series. CoRR (2021)
David I. Ketcheson, Manuel Quezada de Luna
Numerical simulation and entropy dissipative cure of the carbuncle instability for the shallow water circular hydraulic jump. CoRR (2021)
Hendrik Ranocha, Lisandro Dalcín, Matteo Parsani, David I. Ketcheson
Optimized Runge-Kutta Methods with Automatic Step Size Control for Compressible Computational Fluid Dynamics. CoRR (2021)
Manuel Quezada de Luna, David I. Ketcheson
Maximum principle preserving space and time flux limiting for Diagonally Implicit Runge-Kutta discretizations of scalar convection-diffusion equations. CoRR (2021)
David I. Ketcheson, Matteo Parsani, Zachary Grant, Aron J. Ahmadia, Hendrik Ranocha
RK-Opt: A package for the design of numerical ODE solvers. J. Open Source Softw. 5 (54) (2020)
Hendrik Ranocha, Lajos Lóczi, David I. Ketcheson
General Relaxation Methods for Initial-Value Problems with Application to Multistep Schemes. CoRR (2020)
Hendrik Ranocha, David I. Ketcheson
Relaxation Runge-Kutta Methods for Hamiltonian Problems. J. Sci. Comput. 84 (1) (2020)
Hendrik Ranocha, Lajos Lóczi, David I. Ketcheson
General relaxation methods for initial-value problems with application to multistep schemes. Numerische Mathematik 146 (4) (2020)
Hendrik Ranocha, Dimitrios Mitsotakis, David I. Ketcheson
A Broad Class of Conservative Numerical Methods for Dispersive Wave Equations. CoRR (2020)
Hendrik Ranocha, David I. Ketcheson
Energy Stability of Explicit Runge-Kutta Methods for Nonautonomous or Nonlinear Problems. SIAM J. Numer. Anal. 58 (6) (2020)
Stephan Nüßlein, Hendrik Ranocha, David I. Ketcheson
Positivity-Preserving Adaptive Runge-Kutta Methods. CoRR (2020)
David I. Ketcheson, Hendrik Ranocha, Matteo Parsani, Umair bin Waheed, Yiannis Hadjimichael
NodePy: A package for the analysis of numerical ODE solvers. J. Open Source Softw. 5 (55) (2020)
Dimitrios Mitsotakis, Hendrik Ranocha, David I. Ketcheson, Endre Süli
A conservative fully-discrete numerical method for the regularised shallow water wave equations. CoRR (2020)
Dmitri Kuzmin, Manuel Quezada de Luna, David I. Ketcheson, Johanna Grüll
Bound-preserving convex limiting for high-order Runge-Kutta time discretizations of hyperbolic conservation laws. CoRR (2020)
Hendrik Ranocha, David I. Ketcheson
Relaxation Runge-Kutta Methods for Hamiltonian Problems. CoRR (2020)
Hendrik Ranocha, Mohammed Sayyari, Lisandro Dalcín, Matteo Parsani, David I. Ketcheson
Relaxation Runge-Kutta Methods: Fully Discrete Explicit Entropy-Stable Schemes for the Compressible Euler and Navier-Stokes Equations. SIAM J. Sci. Comput. 42 (2) (2020)
Jithin D. George, David I. Ketcheson, Randall J. LeVeque
A Path-Integral Method for Solution of the Wave Equation with Continuously Varying Coefficients. SIAM J. Appl. Math. 79 (6) (2019)
Hendrik Ranocha, David I. Ketcheson
Energy Stability of Explicit Runge-Kutta Methods for Non-autonomous or Nonlinear Problems. CoRR (2019)
David I. Ketcheson
Relaxation Runge-Kutta Methods: Conservation and Stability for Inner-Product Norms. SIAM J. Numer. Anal. 57 (6) (2019)
H. Gorune Ohannessian, George Turkiyyah, Aron J. Ahmadia, David I. Ketcheson
CUDACLAW: A high-performance programmable GPU framework for the solution of hyperbolic PDEs. CoRR (2018)
Inmaculada Higueras, David I. Ketcheson, Tihamér A. Kocsis
Optimal Monotonicity-Preserving Perturbations of a Given Runge-Kutta Method. J. Sci. Comput. 76 (3) (2018)
Imre Fekete, David I. Ketcheson, Lajos Lóczi
Positivity for Convective Semi-discretizations. J. Sci. Comput. 74 (1) (2018)
Yiannis Hadjimichael, David I. Ketcheson
Strong-stability-preserving additive linear multistep methods. Math. Comput. 87 (313) (2018)
Christopher Bresten, Sigal Gottlieb, Zachary Grant, Daniel Higgs, David I. Ketcheson, Adrián Németh
Explicit strong stability preserving multistep Runge-Kutta methods. Math. Comput. 86 (304) (2017)
David I. Ketcheson, Lajos Lóczi, Aliya Jangabylova, Adil Kusmanov
Dense Output for Strong Stability Preserving Runge-Kutta Methods. J. Sci. Comput. 71 (3) (2017)
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
The Clawpack 5.x software. PeerJ Prepr. 4 (2016)
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
Clawpack: building an open source ecosystem for solving hyperbolic PDEs. PeerJ Comput. Sci. 2 (2016)
Yiannis Hadjimichael, David I. Ketcheson, Lajos Lóczi, Adrián Németh
Strong Stability Preserving Explicit Linear Multistep Methods with Variable Step Size. SIAM J. Numer. Anal. 54 (5) (2016)
Willem Hundsdorfer, David I. Ketcheson, Igor Savostianov
Error Analysis of Explicit Partitioned Runge-Kutta Schemes for Conservation Laws. J. Sci. Comput. 63 (3) (2015)
David I. Ketcheson, Manuel Quezada de Luna
Diffractons: Solitary Waves Created by Diffraction in Periodic Media. Multiscale Model. Simul. 13 (1) (2015)
Manuel Quezada de Luna, David I. Ketcheson
Two-Dimensional Wave Propagation in Layered Periodic Media. SIAM J. Appl. Math. 74 (6) (2014)
Lajos Lóczi, David I. Ketcheson
Rational functions with maximal radius of absolute monotonicity. LMS J. Comput. Math. 17 (1) (2014)
Manuel Quezada de Luna, David I. Ketcheson
Numerical Simulation of Cylindrical Solitary Waves in Periodic Media. J. Sci. Comput. 58 (3) (2014)
David I. Ketcheson, Lajos Lóczi, Matteo Parsani
Internal Error Propagation in Explicit Runge-Kutta Methods. SIAM J. Numer. Anal. 52 (5) (2014)
Ethan J. Kubatko, Benjamin A. Yeager, David I. Ketcheson
Optimal Strong-Stability-Preserving Runge-Kutta Time Discretizations for Discontinuous Galerkin Methods. J. Sci. Comput. 60 (2) (2014)
David I. Ketcheson
Teaching numerical methods with IPython notebooks and inquiry-based learning. SciPy (2014)
Matteo Parsani, David I. Ketcheson, W. Deconinck
Optimized Explicit Runge-Kutta Schemes for the Spectral Difference Method Applied to Wave Propagation Problems. SIAM J. Sci. Comput. 35 (2) (2013)
David I. Ketcheson, Matteo Parsani, Randall J. LeVeque
High-Order Wave Propagation Algorithms for Hyperbolic Systems. SIAM J. Sci. Comput. 35 (1) (2013)
Yiannis Hadjimichael, Colin B. Macdonald, David I. Ketcheson, James H. Verner
Strong Stability Preserving Explicit Runge-Kutta Methods of Maximal Effective Order. SIAM J. Numer. Anal. 51 (4) (2013)
David I. Ketcheson, Colin B. Macdonald, Steven J. Ruuth
Spatially Partitioned Embedded Runge-Kutta Methods. SIAM J. Numer. Anal. 51 (5) (2013)
David I. Ketcheson, Kyle T. Mandli, Aron J. Ahmadia, Amal Alghamdi, Manuel Quezada de Luna, Matteo Parsani, Matthew G. Knepley, Matthew Emmett
PyClaw: Accessible, Extensible, Scalable Tools for Wave Propagation Problems. SIAM J. Sci. Comput. 34 (4) (2012)
Matteo Parsani, David I. Ketcheson, W. Deconinck
Optimized explicit Runge-Kutta schemes for the spectral difference method applied to wave propagation problems CoRR (2012)
Amal Alghamdi, Aron J. Ahmadia, David I. Ketcheson, Matthew G. Knepley, Kyle T. Mandli, Lisandro Dalcín
PetClaw: a scalable parallel nonlinear wave propagation solver for Python. SpringSim (HPC) (2011)
David I. Ketcheson
Step Sizes for Strong Stability Preservation with Downwind-Biased Operators. SIAM J. Numer. Anal. 49 (4) (2011)
David I. Ketcheson, Kyle T. Mandli, Aron J. Ahmadia, Amal Alghamdi, Manuel Quezada de Luna, Matteo Parsani, Matthew G. Knepley, Matthew Emmett
Accessible, Extensible, Scalable Tools for Wave Propagation Problems CoRR (2011)
David I. Ketcheson, Sigal Gottlieb, Colin B. Macdonald
Strong Stability Preserving Two-step Runge-Kutta Methods. SIAM J. Numer. Anal. 49 (6) (2011)
Kyle T. Mandli, Amal Alghamdi, Aron J. Ahmadia, David I. Ketcheson, William Scullin
Using Python to Construct a Scalable Parallel Nonlinear Wave Solver. SciPy (2011)
David I. Ketcheson
Runge-Kutta methods with minimum storage implementations. J. Comput. Phys. 229 (5) (2010)
Sigal Gottlieb, David I. Ketcheson, Chi-Wang Shu
High Order Strong Stability Preserving Time Discretizations. J. Sci. Comput. 38 (3) (2009)
David I. Ketcheson
Computation of optimal monotonicity preserving general linear methods. Math. Comput. 78 (267) (2009)
David I. Ketcheson
Highly Efficient Strong Stability-Preserving Runge-Kutta Methods with Low-Storage Implementations. SIAM J. Sci. Comput. 30 (4) (2008)