D. Ketcheson

发表

Estimating and forecasting COVID-19 attack rates and mortality

H. Ombao, P. Moraga, D. Ketcheson, 2020, medRxiv.

On long-time instabilities in staggered finite difference simulations of the seismic acoustic wave equations on discontinuous grids

David E. Keyes, David I. Ketcheson, Longfei Gao, 2018 .

On the practical importance of the SSP property for Runge–Kutta time integrators for some common Godunov‐type schemes

A. Robinson, D. Ketcheson, 2005 .

Optimal stability polynomials for numerical integration of initial value problems

David I. Ketcheson, Aron J. Ahmadia, D. Ketcheson, 2012, 1201.3035.

Number 11 / 07 STRONG STABILITY PRESERVING TWO-STEP RUNGE-KUTTA METHODS by

D. Ketcheson, B. Colin, Macdonald, 2011 .

High Order Strong Stability Preserving Time Integrators and Numerical Wave Propagation Methods for H

David I. Ketcheson, D. Ketcheson, 2009 .

PetClaw: a scalable parallel nonlinear wave propagation solver for Python

Matthew G. Knepley, Kyle T. Mandli, David I. Ketcheson, 2011, SpringSim.

Solution Grid 1 Grid 2 Dimension x Dimension y Dimension z Dimension x Dimension

K. Mandli, D. Ketcheson, A. Ahmadia, 2015 .

Shock dynamics in layered periodic media

R. LeVeque, D. Ketcheson, 2011, 1105.2892.

WENOCLAW: A Higher Order Wave Propagation Method

Randall J. LeVeque, David I. Ketcheson, R. LeVeque, 2008 .

Teaching numerical methods with IPython notebooks and inquiry-based learning

David I. Ketcheson, D. Ketcheson, 2014 .

A conservative fully-discrete numerical method for the regularised shallow water wave equations pdf

Endre Süli, Hendrik Ranocha, David I. Ketcheson, 2020, SIAM J. Sci. Comput..

Step Sizes for Strong Stability Preservation with Downwind-Biased Operators

David I. Ketcheson, D. Ketcheson, 2011, SIAM J. Numer. Anal..

Effective order strong stability preserving RungeKutta methods by Yiannis Hadjimichael

D. Ketcheson, C. Macdonald, Yiannis Hadjimichael, 2012 .

Effective order strong stability preserving Runge–Kutta methods

D. Ketcheson, C. Macdonald, Yiannis Hadjimichael, 2012 .

Time Discretization Techniques

David I. Ketcheson, Sigal Gottlieb, S. Gottlieb, 2016 .

Rational functions with maximal radius of absolute monotonicity

D. Ketcheson, L. Lóczi, Lajos Lóczi, 2013, 1303.6651.

Existence and optimality of strong stability preserving linear multistep methods: a duality-based approach

A. N'emeth, D. Ketcheson, 2015, 1504.03930.

An assessment of semi-discrete central schemes for hyperbolic conservation laws.

Allen C. Robinson, Mark A. Christon, David I. Ketcheson, 2003 .

Solitary water waves created by variations in bathymetry

D. Ketcheson, Manuel Quezada de Luna, 2019, Journal of Fluid Mechanics.

Error Analysis of Explicit Partitioned Runge–Kutta Schemes for Conservation Laws

Igor Savostianov, Willem Hundsdorfer, David I. Ketcheson, 2013, J. Sci. Comput..

Strong stability preserving runge-kutta and multistep time discretizations

David I. Ketcheson, Sigal Gottlieb, Chi-Wang Shu, 2011 .

Propagation of internal errors in explicit Runge--Kutta methods and internal stability of SSP and ex

M. Parsani, D. Ketcheson, Lajos L'oczi, 2013, 1309.1317.

General Relaxation Methods for Initial-Value Problems with Application to Multistep Schemes pdf

Hendrik Ranocha, David I. Ketcheson, Lajos L'oczi, 2020, Numerische Mathematik.

A comparison of Lagrangian/Eulerian approaches for tracking the kinematics of high deformation solid motion.

S. Report, A. Robinson, D. Ketcheson, 2009 .

The Clawpack 5.x software

Randall J. LeVeque, Kyle T. Mandli, Marsha J. Berger, 2016, PeerJ Prepr..

Accessible, Extensible, Scalable Tools for Wave Propagation Problems

K. Mandli, M. Knepley, M. Emmett, 2011, ArXiv.

Bound-preserving convex limiting for high-order Runge-Kutta time discretizations of hyperbolic conservation laws pdf

Manuel Quezada de Luna, Dmitri Kuzmin, David I. Ketcheson, 2020, ArXiv.

Design of DIRK Schemes with High Weak Stage Order

D. Ketcheson, B. Seibold, D. Shirokoff, 2022, ArXiv.

A FUNCTIONALLY-DECOMPOSED APPROACH TO ADAPTIVE MESH REFINEMENT WITH LOCAL TIME

D. Ketcheson, T. Weinzierl, 2013 .

A comparison of high-order explicit Runge–Kutta, extrapolation, and deferred correction methods in serial and parallel

David I. Ketcheson, Umair bin Waheed, U. Waheed, 2013, 1305.6165.

A theoretical comparison of high order explicit Runge-Kutta, extrapolation, and deferred correction methods

U. Waheed, D. Ketcheson, 2013, 1305.6165.

Software Carpentry: Programming with Python

Leigh Sheneman, Jessica B. Hamrick, Konrad Hinsen, 2015 .

SSP Properties of Multistep Multi-Stage Methods

Chi-Wang Shu, David I. Ketcheson, Sigal Gottlieb, 2011 .

Strong Stability Preserving Multistep Runge-Kutta Methods

David I. Ketcheson, Sigal Gottlieb, Zachary J. Grant, 2013, 1307.8058.

Overview: The Development of SSP Methods

Chi-Wang Shu, David I. Ketcheson, Sigal Gottlieb, 2011 .

An Example Article

R. LeVeque, D. Ketcheson, J. George, 2019 .

Optimal Monotonicity-Preserving Perturbations of a Given Runge–Kutta Method

I. Higueras, D. Ketcheson, T. A. Kocsis, 2015, J. Sci. Comput..

MONOTONICITY–PRESERVING PERTURBATIONS OF RUNGE-KUTTA SCHEMES

I. Higueras, D. Ketcheson, T. A. Kocsis, 2015 .

A Comparative Study of Iterative Riemann Solvers for the Shallow Water and Euler Equations

D. Ketcheson, M. Luna, C. Moncayo, 2022, ArXiv.

Very High-Order A-stable Stiffly Accurate Diagonally Implicit Runge-Kutta Methods

D. Ketcheson, Yousef A. Alamri, 2022, ArXiv.

Computing with B-series

D. Ketcheson, Hendrik Ranocha, 2021, ACM Transactions on Mathematical Software.

Relaxation Runge–Kutta Methods for Hamiltonian Problems

D. Ketcheson, Hendrik Ranocha, 2020, Journal of Scientific Computing.

On the absolute stability regions corresponding to partial sums of the exponential function

D. Ketcheson, Lajos L'oczi, T. A. Kocsis, 2013, 1312.0216.

A Broad Class of Conservative Numerical Methods for Dispersive Wave Equations

D. Ketcheson, Hendrik Ranocha, D. Mitsotakis, 2020, Communications in Computational Physics.

Positivity-Preserving Adaptive Runge-Kutta Methods

D. Ketcheson, Hendrik Ranocha, Stephan Nüßlein, 2020, Communications in Applied Mathematics and Computational Science.

Relaxation Runge–Kutta Methods for Hamiltonian Problems

D. Ketcheson, Hendrik Ranocha, 2020, Journal of Scientific Computing.

More efficient time integration for Fourier pseudospectral DNS of incompressible turbulence

Matteo Parsani, David I. Ketcheson, Mikael Mortensen, 2018, International Journal for Numerical Methods in Fluids.

Optimized Explicit Runge-Kutta Schemes for the Spectral Difference Method Applied to Wave Propagation Problems pdf

Matteo Parsani, David I. Ketcheson, W. Deconinck, 2012, SIAM J. Sci. Comput..

Energy Stability of Explicit Runge-Kutta Methods for Non-autonomous or Nonlinear Problems

D. Ketcheson, Hendrik Ranocha, 2019, SIAM J. Numer. Anal..

Optimal control of an SIR epidemic through finite-time non-pharmaceutical intervention

David I Ketcheson, D. Ketcheson, 2020, Journal of Mathematical Biology.

Assessing the age- and gender-dependence of the severity and case fatality rates of COVID-19 disease in Spain

H. Ombao, P. Moraga, D. Ketcheson, 2020, Wellcome Open Research.

Shoaling on Steep Continental Slopes: Relating Transmission and Reflection Coefficients to Green’s Law

Randall J. LeVeque, David I. Ketcheson, R. LeVeque, 2019, Pure and Applied Geophysics.

High-Order Wave Propagation Algorithms for Hyperbolic Systems

Randall J. LeVeque, Matteo Parsani, David I. Ketcheson, 2011, SIAM J. Sci. Comput..

Rapid evolution of SARS-CoV-2 challenges human defenses

V. Eguíluz, T. Gojobori, J. Fernández-Gracia, 2021, Scientific Reports.

PyClaw: Accessible, Extensible, Scalable Tools for Wave Propagation Problems

Matthew G. Knepley, Matteo Parsani, Kyle T. Mandli, 2011, SIAM J. Sci. Comput..

High Order Strong Stability Preserving Time Discretizations

Chi-Wang Shu, David I. Ketcheson, Sigal Gottlieb, 2009, J. Sci. Comput..

High-Order Wave Propagation Algorithms for General Hyperbolic Systems

Randall J. LeVeque, Matteo Parsani, David I. Ketcheson, 2011 .

Optimized Runge-Kutta Methods with Automatic Step Size Control for Compressible Computational Fluid Dynamics pdf

Lisandro Dalcin, Matteo Parsani, Hendrik Ranocha, 2021, Communications on Applied Mathematics and Computation.

Relaxation Runge-Kutta Methods: Fully Discrete Explicit Entropy-Stable Schemes for the Compressible Euler and Navier-Stokes Equations

Lisandro Dalcin, Matteo Parsani, Hendrik Ranocha, 2019, SIAM J. Sci. Comput..

Relaxation Runge-Kutta Methods: Fully-Discrete Explicit Entropy-Stable Schemes for the Euler and Navier-Stokes Equations

Lisandro Dalcin, Matteo Parsani, Hendrik Ranocha, 2019, 1905.09129.

Explicit strong stability preserving multistep Runge-Kutta methods

Zachary Grant, David I. Ketcheson, Sigal Gottlieb, 2016, Math. Comput..

Strong Stability Preserving Two-step Runge-Kutta Methods

Colin B. Macdonald, David I. Ketcheson, Sigal Gottlieb, 2011, SIAM J. Numer. Anal..

Optimal Strong-Stability-Preserving Runge–Kutta Time Discretizations for Discontinuous Galerkin Methods

David I. Ketcheson, Ethan J. Kubatko, Benjamin A. Yeager, 2014, J. Sci. Comput..

Communications in Applied Mathematics and Computational Science

David I. Ketcheson, Aron Ahmadia, D. Ketcheson, 2012 .

Runge-Kutta methods with minimum storage implementations

David I. Ketcheson, D. Ketcheson, 2010, J. Comput. Phys..

Highly Efficient Strong Stability-Preserving Runge-Kutta Methods with Low-Storage Implementations

David I. Ketcheson, D. Ketcheson, 2008, SIAM J. Sci. Comput..

Multiple-Relaxation Runge Kutta Methods for Conservative Dynamical Systems

D. Ketcheson, Abhijit Biswas, 2023, arXiv.org.

Algebraic Structure of the Weak Stage Order Conditions for Runge-Kutta Methods

D. Ketcheson, D. Shirokoff, Abhijit Biswas, 2022, ArXiv.

On the rate of error growth in time for numerical solutions of nonlinear dispersive wave equations pdf

Hendrik Ranocha, Manuel Quezada de Luna, David I. Ketcheson, 2021, Partial Differential Equations and Applications.

General relaxation methods for initial-value problems with application to multistep schemes

D. Ketcheson, Hendrik Ranocha, Lajos L'oczi, 2020, Numerische Mathematik.

Relaxation Runge-Kutta Methods: Conservation and Stability for Inner-Product Norms

David I. Ketcheson, D. Ketcheson, 2019, SIAM J. Numer. Anal..

Optimal implicit strong stability preserving Runge--Kutta methods

Colin B. Macdonald, David I. Ketcheson, Sigal Gottlieb, 2009 .

Spatially Partitioned Embedded Runge-Kutta Methods

Colin B. Macdonald, Steven J. Ruuth, David I. Ketcheson, 2013, SIAM J. Numer. Anal..

Strong Stability Preserving Explicit Linear Multistep Methods with Variable Step Size

David I. Ketcheson, Yiannis Hadjimichael, Lajos Lóczi, 2015, SIAM J. Numer. Anal..

Numerical simulation and entropy dissipative cure of the carbuncle instability for the shallow water circular hydraulic jump pdf

Manuel Quezada de Luna, David I. Ketcheson, D. Ketcheson, 2021, International Journal for Numerical Methods in Fluids.

Bound-preserving Flux Limiting for High-Order Explicit Runge–Kutta Time Discretizations of Hyperbolic Conservation Laws

D. Kuzmin, D. Ketcheson, M. Luna, 2020, J. Sci. Comput..

Bound-preserving convex limiting for high-order Runge-Kutta time discretizations of hyperbolic conservation laws

D. Kuzmin, D. Ketcheson, M. Luna, 2020, ArXiv.

Internal Error Propagation in Explicit Runge-Kutta Methods

Matteo Parsani, David I. Ketcheson, Lajos Lóczi, 2014, SIAM J. Numer. Anal..

Positivity preservation of implicit discretizations of the advection equation pdf

David I. Ketcheson, Yiannis Hadjimichael, Lajos L'oczi, 2021, ArXiv.

Riemann Problems and Jupyter Solutions

R. LeVeque, D. Ketcheson, M. D. Razo, 2020 .

Clawpack: building an open source ecosystem for solving hyperbolic PDEs

Randall J. LeVeque, Kyle T. Mandli, Marsha J. Berger, 2016, PeerJ Comput. Sci..

NodePy: A package for the analysis of numerical ODE solvers

Matteo Parsani, Hendrik Ranocha, David I. Ketcheson, 2020, J. Open Source Softw..

Strong Stability Preserving Explicit Runge-Kutta Methods of Maximal Effective Order

Colin B. Macdonald, David I. Ketcheson, Yiannis Hadjimichael, 2012, SIAM J. Numer. Anal..

Bound-preserving Flux Limiting for High-Order Explicit Runge–Kutta Time Discretizations of Hyperbolic Conservation Laws

D. Kuzmin, D. Ketcheson, Manuel Quezada de Luna, 2022, Journal of Scientific Computing.

Dense Output for Strong Stability Preserving Runge–Kutta Methods

D. Ketcheson, Lajos Lóczi, Aliya Jangabylova, 2016, Journal of Scientific Computing.

Dense Output for Strong Stability Preserving Runge–Kutta Methods

David I. Ketcheson, Lajos Lóczi, Aliya Jangabylova, 2016, J. Sci. Comput..

Error Analysis of Explicit Partitioned Runge–Kutta Schemes for Conservation Laws

W. Hundsdorfer, D. Ketcheson, Igor Savostianov, 2014, Journal of Scientific Computing.

Computation of optimal monotonicity preserving general linear methods

David I. Ketcheson, D. Ketcheson, 2009, Math. Comput..

Practical splitting methods for the adaptive integration of nonlinear evolution equations. Part I: Construction of optimized schemes and pairs of schemes

Winfried Auzinger, Othmar Koch, Harald Hofstätter, 2016, BIT Numerical Mathematics.

An Example Article

R. LeVeque, D. Ketcheson, J. George, 2019 .

An assessment of semi-discrete central schemes for hyperbolic conservation laws.

M. Christon, A. Robinson, D. Ketcheson, 2003 .

Maximum Principle Preserving Space and Time Flux Limiting for Diagonally Implicit Runge–Kutta Discretizations of Scalar Convection-diffusion Equations pdf

Manuel Quezada de Luna, David I. Ketcheson, D. Ketcheson, 2021, Journal of Scientific Computing.

Using the levenberg-marquardt method for the solution of inverse transport problems

David I. Ketcheson, Jeffrey A. Favorite, J. Favorite, 2006 .

Surface and Volume Integrals of Uncollided Adjoint Fluxes and Forward-Adjoint Flux Products

David I. Ketcheson, Jeffrey A. Favorite, Keith C. Bledsoe, 2009 .

Very High-Order A-stable Stiffly Accurate Diagonally Implicit Runge-Kutta Methods

D. Ketcheson, Yousef A. Alamri, 2022, ArXiv.

DIRK Schemes with High Weak Stage Order

D. Ketcheson, D. Shirokoff, Dong Zhou, 2018, Lecture Notes in Computational Science and Engineering.

Design of DIRK Schemes with High Weak Stage Order

D. Ketcheson, D. Shirokoff, Abhijit Biswas, 2022, Communications in Applied Mathematics and Computational Science.

RK-Opt: A package for the design of numerical ODE solvers

Matteo Parsani, Hendrik Ranocha, Zachary Grant, 2020, J. Open Source Softw..

Clawpack: building an open source ecosystem for solving hyperbolic PDEs

R. LeVeque, M. Berger, K. Mandli, 2016, PeerJ Comput. Sci..

Two-Dimensional Wave Propagation in Layered Periodic Media

Manuel Quezada de Luna, David I. Ketcheson, D. Ketcheson, 2013, SIAM J. Appl. Math..

ScholarWorks ScholarWorks

R. LeVeque, K. Mandli, D. Ketcheson, 2022 .

Effective Rankine–Hugoniot conditions for shock waves in periodic media

D. Ketcheson, M. Luna, 2019, 1909.04937.

Positivity for Convective Semi-discretizations

David I. Ketcheson, Imre Fekete, Lajos Lóczi, 2016, J. Sci. Comput..

Accurate Solution of the Nonlinear Schrödinger Equation via Conservative Multiple-Relaxation ImEx Methods

D. Ketcheson, Abhijit Biswas, 2023, ArXiv.

A multiscale model for weakly nonlinear shallow water waves over periodic bathymetry

D. Ketcheson, Lajos L'oczi, Giovanni Russo, 2023, 2311.02603.

CUDACLAW: A high-performance programmable GPU framework for the solution of hyperbolic PDEs pdf

George M. Turkiyyah, David I. Ketcheson, Aron J. Ahmadia, 2018, ArXiv.

A high-order finite volume method for Maxwell's equations in heterogeneous and time-varying media

D. Ketcheson, Damian P. San Roman Alerigi, Boon S. Ooi, 2023, arXiv.org.