| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4639429 | Journal of Computational and Applied Mathematics | 2013 | 16 Pages |
Abstract
The new concept of numerical smoothness is applied to the RKDG (Runge–Kutta/Discontinuous Galerkin) methods for scalar nonlinear conservations laws. The main result is an a posteriori error estimate for the RKDG methods of arbitrary order in space and time, with optimal convergence rate. In this paper, the case of smooth solutions is the focus point. However, the error propagation analysis framework is prepared to deal with discontinuous solutions in the future.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Tong Sun, David Rumsey,