STABILITY AND ERROR ESTIMATES OF LOCAL DISCONTINUOUS GALERKIN METHODS WITH IMPLICIT-EXPLICIT TIME-MARCHING FOR ADVECTION-DIFFUSION PROBLEMS HAIJIN WANG, CHI-WANG SHU and QIANG ZHANG SIAM Journal on ...

These methods have classical order four, but they do not satisfy some of the new conditions. Therefore, an order reduction is expected. We present numerical experiments which show that this order ...