David I. Ketcheson

J. Sci. Comput., 2022

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

[BibT_eX]

[DOI]

Dmitri Kuzmin

Johanna Grüll

J. Sci. Comput., 2022

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

[BibT_eX]

[DOI]

Yousef Alamri

CoRR, 2022

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

[BibT_eX]

[DOI]

Carlos Muñoz Moncayo

CoRR, 2022

Design of DIRK Schemes with High Weak Stage Order.

[BibT_eX]

[DOI]

CoRR, 2022

2021

A Conservative Fully Discrete Numerical Method for the Regularized Shallow Water Wave Equations.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2021

Positivity preservation of implicit discretizations of the advection equation.

[BibT_eX]

[DOI]

Yiannis Hadjimichael

CoRR, 2021

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

[BibT_eX]

[DOI]

CoRR, 2021

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

[BibT_eX]

[DOI]

CoRR, 2021

On the Rate of Error Growth in Time for Numerical Solutions of Nonlinear Dispersive Wave Equations.

[BibT_eX]

[DOI]

CoRR, 2021

2020

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

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2020

Energy Stability of Explicit Runge-Kutta Methods for Nonautonomous or Nonlinear Problems.

[BibT_eX]

[DOI]

SIAM J. Numer. Anal., 2020

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

[BibT_eX]

[DOI]

Numerische Mathematik, 2020

Relaxation Runge-Kutta Methods for Hamiltonian Problems.

[BibT_eX]

[DOI]

J. Sci. Comput., 2020

NodePy: A package for the analysis of numerical ODE solvers.

[BibT_eX]

[DOI]

J. Open Source Softw., 2020

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

[BibT_eX]

[DOI]

J. Open Source Softw., 2020

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

[BibT_eX]

[DOI]

CoRR, 2020

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

[BibT_eX]

[DOI]

Dmitri Kuzmin

Johanna Grüll

CoRR, 2020

A Broad Class of Conservative Numerical Methods for Dispersive Wave Equations.

[BibT_eX]

[DOI]

Dimitrios Mitsotakis

CoRR, 2020

Positivity-Preserving Adaptive Runge-Kutta Methods.

[BibT_eX]

[DOI]

Stephan Nüßlein

CoRR, 2020

2019

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

[BibT_eX]

[DOI]

SIAM J. Numer. Anal., 2019

A Path-Integral Method for Solution of the Wave Equation with Continuously Varying Coefficients.

[BibT_eX]

[DOI]

Jithin D. George

Randall J. LeVeque

SIAM J. Appl. Math., 2019

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

[BibT_eX]

[DOI]

CoRR, 2019

2018

Strong-stability-preserving additive linear multistep methods.

[BibT_eX]

[DOI]

Yiannis Hadjimichael

Math. Comput., 2018

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

[BibT_eX]

[DOI]

Inmaculada Higueras

Tihamér A. Kocsis

J. Sci. Comput., 2018

Positivity for Convective Semi-discretizations.

[BibT_eX]

[DOI]

Imre Fekete

J. Sci. Comput., 2018

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

[BibT_eX]

[DOI]

H. Gorune Ohannessian

George Turkiyyah

Aron J. Ahmadia

CoRR, 2018

2017

Explicit strong stability preserving multistep Runge-Kutta methods.

[BibT_eX]

[DOI]

Math. Comput., 2017

Dense Output for Strong Stability Preserving Runge-Kutta Methods.

[BibT_eX]

[DOI]

J. Sci. Comput., 2017

2016

Strong Stability Preserving Explicit Linear Multistep Methods with Variable Step Size.

[BibT_eX]

[DOI]

SIAM J. Numer. Anal., 2016

The Clawpack 5.x software.

[BibT_eX]

[DOI]

PeerJ Prepr., 2016

Clawpack: building an open source ecosystem for solving hyperbolic PDEs.

[BibT_eX]

[DOI]

PeerJ Comput. Sci., 2016

2015

Diffractons: Solitary Waves Created by Diffraction in Periodic Media.

[BibT_eX]

[DOI]

Multiscale Model. Simul., 2015

Error Analysis of Explicit Partitioned Runge-Kutta Schemes for Conservation Laws.

[BibT_eX]

[DOI]

Willem Hundsdorfer

Igor Savostianov

J. Sci. Comput., 2015

2014

Internal Error Propagation in Explicit Runge-Kutta Methods.

[BibT_eX]

[DOI]

SIAM J. Numer. Anal., 2014

Two-Dimensional Wave Propagation in Layered Periodic Media.

[BibT_eX]

[DOI]

SIAM J. Appl. Math., 2014

Rational functions with maximal radius of absolute monotonicity.

[BibT_eX]

[DOI]

LMS J. Comput. Math., 2014

Numerical Simulation of Cylindrical Solitary Waves in Periodic Media.

[BibT_eX]

[DOI]

J. Sci. Comput., 2014

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

[BibT_eX]

[DOI]

Ethan J. Kubatko

Benjamin A. Yeager

J. Sci. Comput., 2014

Teaching numerical methods with IPython notebooks and inquiry-based learning.

[BibT_eX]

[DOI]

Proceedings of the 13th Python in Science Conference, 2014

2013

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

[BibT_eX]

[DOI]

W. Deconinck

SIAM J. Sci. Comput., 2013

High-Order Wave Propagation Algorithms for Hyperbolic Systems.

[BibT_eX]

[DOI]

Randall J. LeVeque

SIAM J. Sci. Comput., 2013

Spatially Partitioned Embedded Runge-Kutta Methods.

[BibT_eX]

[DOI]

Colin B. Macdonald

Steven J. Ruuth

SIAM J. Numer. Anal., 2013

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

[BibT_eX]

[DOI]

SIAM J. Numer. Anal., 2013

2012

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

[BibT_eX]

[DOI]

Matthew G. Knepley

Matthew Emmett

SIAM J. Sci. Comput., 2012

2011

Strong Stability Preserving Two-step Runge-Kutta Methods.

[BibT_eX]

[DOI]

Sigal Gottlieb

Colin B. Macdonald

SIAM J. Numer. Anal., 2011

Step Sizes for Strong Stability Preservation with Downwind-Biased Operators.

[BibT_eX]

[DOI]

SIAM J. Numer. Anal., 2011

Accessible, Extensible, Scalable Tools for Wave Propagation Problems

[BibT_eX]

[DOI]

Matthew G. Knepley

Matthew Emmett

CoRR, 2011

PetClaw: a scalable parallel nonlinear wave propagation solver for Python.

[BibT_eX]

[DOI]

Proceedings of the 2011 Spring Simulation Multi-conference, 2011

Using Python to Construct a Scalable Parallel Nonlinear Wave Solver.

[BibT_eX]

[DOI]

Proceedings of the 10th Python in Science Conference 2011 (SciPy 2011), Austin, Texas, July 11, 2011

2010

Runge-Kutta methods with minimum storage implementations.

[BibT_eX]

[DOI]

J. Comput. Phys., 2010

2009

Computation of optimal monotonicity preserving general linear methods.

[BibT_eX]

[DOI]

Math. Comput., 2009

High Order Strong Stability Preserving Time Discretizations.

[BibT_eX]

[DOI]

Sigal Gottlieb

Chi-Wang Shu

J. Sci. Comput., 2009

2008

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

[BibT_eX]

[DOI]