Strong stability preserving (SSP) high order time discretizations were developed to ensure
nonlinear stability properties necessary in the numerical solution of hyperbolic partial …

Strong stability-preserving (SSP) Runge–Kutta methods were developed for time integration
of semidiscretizations of partial differential equations. SSP methods preserve stability …

This paper proposes a wetting and drying treatment for the piecewise linear Runge–Kutta
discontinuous Galerkin approximation to the shallow water equations. The method takes a …

We investigate the stability of some high-order finite element methods, namely the spectral
element method and the interior-penalty discontinuous Galerkin method (IP-DGM), for …

This paper evaluates the parallel performance and scalability of an unstructured grid
Shallow Water Equation (SWE) hurricane storm surge model. We use the ADCIRC model …

Discontinuous Galerkin (DG) spatial discretizations are often used in a method-of-lines
approach with explicit strong-stability-preserving (SSP) Runge–Kutta (RK) time steppers for …

In this paper, dynamic p-adaptive Runge–Kutta discontinuous Galerkin (RKDG) methods for
the two-dimensional shallow water equations (SWE) are investigated. The p-adaptive …

We derive CFL conditions for the linear stability of the so-called Runge–Kutta discontinuous
Galerkin (RKDG) methods on triangular grids. Semidiscrete DG approximations using …

When the discontinuous Galerkin (DG) method is applied to hyperbolic problems in two
dimensions on triangular meshes and paired with an explicit time integration scheme, an …

For the 1-dim. linear advection problem stability limits of Runge–Kutta (RK) methods from 1st
to 7th order in combination with upwind or centered difference schemes from 1st to 6th order …