David I. Ketcheson

80 papers Journal 77Unranked 3

Year	Rank	Type	Title / Venue / Authors
2025	J	`jnl`	A Hyperbolic Approximation of the Nonlinear Schrödinger Equation. CoRR Abhijit Biswas, Laila S. Busaleh, David I. Ketcheson, Carlos Muñoz Moncayo, Manvendra Rajvanshi
2025	J	`jnl`	A Multiscale Model for Weakly Nonlinear Shallow Water Waves over Periodic Bathymetry. Multiscale Model. Simul. David I. Ketcheson, Lajos Lóczi, Giovanni Russo
2025	J	`jnl`	Asymptotic-preserving and energy-conserving methods for a hyperbolic approximation of the BBM equation. CoRR Sebastian Bleecke, Abhijit Biswas, David I. Ketcheson, Hendrik Ranocha, Jochen Schütz
2025	J	`jnl`	Conserving mass, momentum, and energy for the Benjamin-Bona-Mahony, Korteweg-de Vries, and nonlinear Schrödinger equations. CoRR Hendrik Ranocha, David I. Ketcheson
2025	J	`jnl`	Explicit Runge-Kutta Methods that Alleviate Order Reduction. SIAM J. Numer. Anal. Abhijit Biswas, David I. Ketcheson, Steven B. Roberts, Benjamin Seibold, David Shirokoff
2025	J	`jnl`	High-order mass- and energy-conserving methods for the nonlinear Schrödinger equation and its hyperbolization. CoRR Hendrik Ranocha, David I. Ketcheson
2025	J	`jnl`	Traveling-Wave Solutions and Structure-Preserving Numerical Methods for a Hyperbolic Approximation of the Korteweg-de Vries Equation. J. Sci. Comput. Abhijit Biswas, David I. Ketcheson, Hendrik Ranocha, Jochen Schütz
2024	J	`jnl`	Accurate Solution of the Nonlinear Schrödinger Equation via Conservative Multiple-Relaxation ImEx Methods. SIAM J. Sci. Comput. Abhijit Biswas, David I. Ketcheson
2024	J	`jnl`	Algebraic Structure of the Weak Stage Order Conditions for Runge-Kutta Methods. SIAM J. Numer. Anal. Abhijit Biswas, David I. Ketcheson, Benjamin Seibold, David Shirokoff
2024	J	`jnl`	Approximation of arbitrarily high-order PDEs by first-order hyperbolic relaxation. CoRR David I. Ketcheson, Abhijit Biswas
2024	J	`jnl`	Pseudo-Energy-Preserving Explicit Runge-Kutta Methods. CoRR Gabriel A. Barrios de León, David I. Ketcheson, Hendrik Ranocha
2024	J	`jnl`	Traveling-wave solutions and structure-preserving numerical methods for a hyperbolic approximation of the Korteweg-de Vries equation. CoRR Abhijit Biswas, David I. Ketcheson, Hendrik Ranocha, Jochen Schütz
2024	J	`jnl`	Very High-Order A-Stable Stiffly Accurate Diagonally Implicit Runge-Kutta Methods with Error Estimators. J. Sci. Comput. Yousef Alamri, David I. Ketcheson
2023	J	`jnl`	A high-order finite volume method for Maxwell's equations in heterogeneous and time-varying media. CoRR Damian P. San Roman Alerigi, David I. Ketcheson, Boon S. Ooi
2023	J	`jnl`	Accurate Solution of the Nonlinear Schrödinger Equation via Conservative Multiple-Relaxation ImEx Methods. CoRR Abhijit Biswas, David I. Ketcheson
2023	J	`jnl`	Computing with B-series. ACM Trans. Math. Softw. David I. Ketcheson, Hendrik Ranocha
2023	J	`jnl`	Explicit Runge Kutta Methods that Alleviate Order Reduction. CoRR Abhijit Biswas, David I. Ketcheson, Steven Roberts, Benjamin Seibold, David Shirokoff
2023	J	`jnl`	Multiple-Relaxation Runge Kutta Methods for Conservative Dynamical Systems. CoRR Abhijit Biswas, David I. Ketcheson
2023	J	`jnl`	Multiple-Relaxation Runge Kutta Methods for Conservative Dynamical Systems. J. Sci. Comput. Abhijit Biswas, David I. Ketcheson
2023	J	`jnl`	Order conditions for Runge-Kutta-like methods with solution-dependent coefficients. CoRR Thomas Izgin, David I. Ketcheson, Andreas Meister
2022	J	`jnl`	A Comparative Study of Iterative Riemann Solvers for the Shallow Water and Euler Equations. CoRR Carlos Muñoz Moncayo, Manuel Quezada de Luna, David I. Ketcheson
2022	J	`jnl`	Algebraic Structure of the Weak Stage Order Conditions for Runge-Kutta Methods. CoRR Abhijit Biswas, David I. Ketcheson, Benjamin Seibold, David Shirokoff
2022	J	`jnl`	Bound-preserving Flux Limiting for High-Order Explicit Runge-Kutta Time Discretizations of Hyperbolic Conservation Laws. J. Sci. Comput. Dmitri Kuzmin, Manuel Quezada de Luna, David I. Ketcheson, Johanna Grüll
2022	J	`jnl`	Design of DIRK Schemes with High Weak Stage Order. CoRR Abhijit Biswas, David I. Ketcheson, Benjamin Seibold, David Shirokoff
2022	J	`jnl`	Maximum Principle Preserving Space and Time Flux Limiting for Diagonally Implicit Runge-Kutta Discretizations of Scalar Convection-diffusion Equations. J. Sci. Comput. Manuel Quezada de Luna, David I. Ketcheson
2022	J	`jnl`	Very High-Order A-stable Stiffly Accurate Diagonally Implicit Runge-Kutta Methods. CoRR Yousef Alamri, David I. Ketcheson
2021	J	`jnl`	A Conservative Fully Discrete Numerical Method for the Regularized Shallow Water Wave Equations. SIAM J. Sci. Comput. Dimitrios Mitsotakis, Hendrik Ranocha, David I. Ketcheson, Endre Süli
2021	J	`jnl`	Computing with B-series. CoRR David I. Ketcheson, Hendrik Ranocha
2021	J	`jnl`	Maximum principle preserving space and time flux limiting for Diagonally Implicit Runge-Kutta discretizations of scalar convection-diffusion equations. CoRR Manuel Quezada de Luna, David I. Ketcheson
2021	J	`jnl`	Numerical simulation and entropy dissipative cure of the carbuncle instability for the shallow water circular hydraulic jump. CoRR David I. Ketcheson, Manuel Quezada de Luna
2021	J	`jnl`	On the Rate of Error Growth in Time for Numerical Solutions of Nonlinear Dispersive Wave Equations. CoRR Hendrik Ranocha, Manuel Quezada de Luna, David I. Ketcheson
2021	J	`jnl`	Optimized Runge-Kutta Methods with Automatic Step Size Control for Compressible Computational Fluid Dynamics. CoRR Hendrik Ranocha, Lisandro Dalcín, Matteo Parsani, David I. Ketcheson
2021	J	`jnl`	Positivity preservation of implicit discretizations of the advection equation. CoRR Yiannis Hadjimichael, David I. Ketcheson, Lajos Lóczi
2020	J	`jnl`	A Broad Class of Conservative Numerical Methods for Dispersive Wave Equations. CoRR Hendrik Ranocha, Dimitrios Mitsotakis, David I. Ketcheson
2020	J	`jnl`	A conservative fully-discrete numerical method for the regularised shallow water wave equations. CoRR Dimitrios Mitsotakis, Hendrik Ranocha, David I. Ketcheson, Endre Süli
2020	J	`jnl`	Bound-preserving convex limiting for high-order Runge-Kutta time discretizations of hyperbolic conservation laws. CoRR Dmitri Kuzmin, Manuel Quezada de Luna, David I. Ketcheson, Johanna Grüll
2020	J	`jnl`	Energy Stability of Explicit Runge-Kutta Methods for Nonautonomous or Nonlinear Problems. SIAM J. Numer. Anal. Hendrik Ranocha, David I. Ketcheson
2020	J	`jnl`	General Relaxation Methods for Initial-Value Problems with Application to Multistep Schemes. CoRR Hendrik Ranocha, Lajos Lóczi, David I. Ketcheson
2020	J	`jnl`	General relaxation methods for initial-value problems with application to multistep schemes. Numerische Mathematik Hendrik Ranocha, Lajos Lóczi, David I. Ketcheson
2020	J	`jnl`	NodePy: A package for the analysis of numerical ODE solvers. J. Open Source Softw. David I. Ketcheson, Hendrik Ranocha, Matteo Parsani, Umair bin Waheed, Yiannis Hadjimichael
2020	J	`jnl`	Positivity-Preserving Adaptive Runge-Kutta Methods. CoRR Stephan Nüßlein, Hendrik Ranocha, David I. Ketcheson
2020	J	`jnl`	RK-Opt: A package for the design of numerical ODE solvers. J. Open Source Softw. David I. Ketcheson, Matteo Parsani, Zachary Grant, Aron J. Ahmadia, Hendrik Ranocha
2020	J	`jnl`	Relaxation Runge-Kutta Methods for Hamiltonian Problems. CoRR Hendrik Ranocha, David I. Ketcheson
2020	J	`jnl`	Relaxation Runge-Kutta Methods for Hamiltonian Problems. J. Sci. Comput. Hendrik Ranocha, David I. Ketcheson
2020	J	`jnl`	Relaxation Runge-Kutta Methods: Fully Discrete Explicit Entropy-Stable Schemes for the Compressible Euler and Navier-Stokes Equations. SIAM J. Sci. Comput. Hendrik Ranocha, Mohammed Sayyari, Lisandro Dalcín, Matteo Parsani, David I. Ketcheson
2019	J	`jnl`	A Path-Integral Method for Solution of the Wave Equation with Continuously Varying Coefficients. SIAM J. Appl. Math. Jithin D. George, David I. Ketcheson, Randall J. LeVeque
2019	J	`jnl`	Energy Stability of Explicit Runge-Kutta Methods for Non-autonomous or Nonlinear Problems. CoRR Hendrik Ranocha, David I. Ketcheson
2019	J	`jnl`	Relaxation Runge-Kutta Methods: Conservation and Stability for Inner-Product Norms. SIAM J. Numer. Anal. David I. Ketcheson
2018	J	`jnl`	CUDACLAW: A high-performance programmable GPU framework for the solution of hyperbolic PDEs. CoRR H. Gorune Ohannessian, George Turkiyyah, Aron J. Ahmadia, David I. Ketcheson
2018	J	`jnl`	Optimal Monotonicity-Preserving Perturbations of a Given Runge-Kutta Method. J. Sci. Comput. Inmaculada Higueras, David I. Ketcheson, Tihamér A. Kocsis
2018	J	`jnl`	Positivity for Convective Semi-discretizations. J. Sci. Comput. Imre Fekete, David I. Ketcheson, Lajos Lóczi
2018	J	`jnl`	Strong-stability-preserving additive linear multistep methods. Math. Comput. Yiannis Hadjimichael, David I. Ketcheson
2017	J	`jnl`	Dense Output for Strong Stability Preserving Runge-Kutta Methods. J. Sci. Comput. David I. Ketcheson, Lajos Lóczi, Aliya Jangabylova, Adil Kusmanov
2017	J	`jnl`	Explicit strong stability preserving multistep Runge-Kutta methods. Math. Comput. Christopher Bresten, Sigal Gottlieb, Zachary Grant, Daniel Higgs, David I. Ketcheson, Adrián Németh
2016	J	`jnl`	Clawpack: building an open source ecosystem for solving hyperbolic PDEs. PeerJ Comput. Sci. 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
2016	J	`jnl`	Strong Stability Preserving Explicit Linear Multistep Methods with Variable Step Size. SIAM J. Numer. Anal. Yiannis Hadjimichael, David I. Ketcheson, Lajos Lóczi, Adrián Németh
2016	J	`jnl`	The Clawpack 5.x software. PeerJ Prepr. 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
2015	J	`jnl`	Diffractons: Solitary Waves Created by Diffraction in Periodic Media. Multiscale Model. Simul. David I. Ketcheson, Manuel Quezada de Luna
2015	J	`jnl`	Error Analysis of Explicit Partitioned Runge-Kutta Schemes for Conservation Laws. J. Sci. Comput. Willem Hundsdorfer, David I. Ketcheson, Igor Savostianov
2014	J	`jnl`	Internal Error Propagation in Explicit Runge-Kutta Methods. SIAM J. Numer. Anal. David I. Ketcheson, Lajos Lóczi, Matteo Parsani
2014	J	`jnl`	Numerical Simulation of Cylindrical Solitary Waves in Periodic Media. J. Sci. Comput. Manuel Quezada de Luna, David I. Ketcheson
2014	J	`jnl`	Optimal Strong-Stability-Preserving Runge-Kutta Time Discretizations for Discontinuous Galerkin Methods. J. Sci. Comput. Ethan J. Kubatko, Benjamin A. Yeager, David I. Ketcheson
2014	J	`jnl`	Rational functions with maximal radius of absolute monotonicity. LMS J. Comput. Math. Lajos Lóczi, David I. Ketcheson
2014	—	`conf`	Teaching numerical methods with IPython notebooks and inquiry-based learning. SciPy David I. Ketcheson
2014	J	`jnl`	Two-Dimensional Wave Propagation in Layered Periodic Media. SIAM J. Appl. Math. Manuel Quezada de Luna, David I. Ketcheson
2013	J	`jnl`	High-Order Wave Propagation Algorithms for Hyperbolic Systems. SIAM J. Sci. Comput. David I. Ketcheson, Matteo Parsani, Randall J. LeVeque
2013	J	`jnl`	Optimized Explicit Runge-Kutta Schemes for the Spectral Difference Method Applied to Wave Propagation Problems. SIAM J. Sci. Comput. Matteo Parsani, David I. Ketcheson, W. Deconinck
2013	J	`jnl`	Spatially Partitioned Embedded Runge-Kutta Methods. SIAM J. Numer. Anal. David I. Ketcheson, Colin B. Macdonald, Steven J. Ruuth
2013	J	`jnl`	Strong Stability Preserving Explicit Runge-Kutta Methods of Maximal Effective Order. SIAM J. Numer. Anal. Yiannis Hadjimichael, Colin B. Macdonald, David I. Ketcheson, James H. Verner
2012	J	`jnl`	Optimized explicit Runge-Kutta schemes for the spectral difference method applied to wave propagation problems CoRR Matteo Parsani, David I. Ketcheson, W. Deconinck
2012	J	`jnl`	PyClaw: Accessible, Extensible, Scalable Tools for Wave Propagation Problems. SIAM J. Sci. Comput. David I. Ketcheson, Kyle T. Mandli, Aron J. Ahmadia, Amal Alghamdi, Manuel Quezada de Luna, Matteo Parsani, Matthew G. Knepley, Matthew Emmett
2011	J	`jnl`	Accessible, Extensible, Scalable Tools for Wave Propagation Problems CoRR David I. Ketcheson, Kyle T. Mandli, Aron J. Ahmadia, Amal Alghamdi, Manuel Quezada de Luna, Matteo Parsani, Matthew G. Knepley, Matthew Emmett
2011	—	`conf`	PetClaw: a scalable parallel nonlinear wave propagation solver for Python. SpringSim (HPC) Amal Alghamdi, Aron J. Ahmadia, David I. Ketcheson, Matthew G. Knepley, Kyle T. Mandli, Lisandro Dalcín
2011	J	`jnl`	Step Sizes for Strong Stability Preservation with Downwind-Biased Operators. SIAM J. Numer. Anal. David I. Ketcheson
2011	J	`jnl`	Strong Stability Preserving Two-step Runge-Kutta Methods. SIAM J. Numer. Anal. David I. Ketcheson, Sigal Gottlieb, Colin B. Macdonald
2011	—	`conf`	Using Python to Construct a Scalable Parallel Nonlinear Wave Solver. SciPy Kyle T. Mandli, Amal Alghamdi, Aron J. Ahmadia, David I. Ketcheson, William Scullin
2010	J	`jnl`	Runge-Kutta methods with minimum storage implementations. J. Comput. Phys. David I. Ketcheson
2009	J	`jnl`	Computation of optimal monotonicity preserving general linear methods. Math. Comput. David I. Ketcheson
2009	J	`jnl`	High Order Strong Stability Preserving Time Discretizations. J. Sci. Comput. Sigal Gottlieb, David I. Ketcheson, Chi-Wang Shu
2008	J	`jnl`	Highly Efficient Strong Stability-Preserving Runge-Kutta Methods with Low-Storage Implementations. SIAM J. Sci. Comput. David I. Ketcheson