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

A parallel local timestepping Runge–Kutta discontinuous Galerkin method with applications to coastal ocean modeling

(2013) Clint Dawson et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Positivity-preserving DG and central DG methods for ideal MHD equations

(2013) Yue Cheng et al.   JOURNAL OF COMPUTATIONAL PHYSICS

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

(2013) M. Parsani et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Optimal stability polynomials for numerical integration of initial value problems

(2013) David Ketcheson et al.   Communications in Applied Mathematics and Computational Science

Local time-stepping in Runge–Kutta discontinuous Galerkin finite element methods applied to the shallow-water equations

(2012) Corey J. Trahan et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Optimal Runge–Kutta schemes for discontinuous Galerkin space discretizations applied to wave propagation problems

(2011) T. Toulorge et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Positivity-preserving high order well-balanced discontinuous Galerkin methods for the shallow water equations

(2010) Yulong Xing et al.   ADVANCES IN WATER RESOURCES

Implementation of a discontinuous Galerkin morphological model on two-dimensional unstructured meshes

(2010) C. Mirabito et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Dynamic p-adaptive Runge–Kutta discontinuous Galerkin methods for the shallow water equations

(2009) Ethan J. Kubatko et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

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

(2008) David I. Ketcheson   SIAM JOURNAL ON SCIENTIFIC COMPUTING