A numerical study of Diagonally split Runge-Kutta methods for PDEs with discontinuities

Diagonally split Runge-Kutta (DSRK) time discretization methods are a class of implicit time-stepping schemes which offer both high-order convergence and a form of nonlinear stability known as unconditional contractivity. This combination is not possible within the classes of Runge-Kutta or linear m...

Full description

Bibliographic Details
Main Authors: Macdonald, C, Gottlieb, S, Ruuth, S
Format: Journal article
Language:English
Published: 2008