We present a new formulation of the Runge-Kutta discontinuous Galerkin (RKDG) method [6, 5, 4, 3] for conservation Laws. The new formulation requires the computed RKDG solution in a cell to satisfy additional conservation constraint in adjacent cells and does not increase the complexity or change the compactness of the RKDG method. We use this new formulation to solve conservation laws on one-d...

We present a new formulation of the Runge-Kutta discontinuous Galerkin (RKDG) method [7, 6, 5, 4] for conservation Laws. The new formulation requires the computed RKDG solution in a cell to satisfy additional conservation constraint in adjacent cells and does not increase the complexity or change the compactness of the RKDG method. We use this new formulation to solve conservation laws on one-d...