Projects per year
Numerical experiments are shown to demonstrate the theoretical results.
- discontinuous Galerkin
- nonlinear symmetric systems of hyperbolic conservation
- negative-order norm estimates
- Divided difference
- 2 Finished
USEFUL - Useful Superconvergence Extraction for Filtering of Underresolved Solutions - Xiong Meng Fellowship
Ryan, J. & Meng, X.
1/09/14 → 31/08/16
Exploiting Superconvergence in Discontinuous Galerkin Methods for Improved Time-Stepping and Visualization
1/02/13 → 31/07/16
Discontinuous Galerkin methods for nonlinear scalar hyperbolic conservation laws: divided difference estimates and accuracy enhancementMeng, X. & Ryan, J., May 2017, In : Numerische Mathematik. 136, 1, p. 27–73 47 p.
Research output: Contribution to journal › ArticleOpen AccessFile9 Citations (Scopus)10 Downloads (Pure)
2015, Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2014. Springer, Vol. 105. p. 87-102 ( Lecture Notes in Computational Science and Engineering).
Research output: Chapter in Book/Report/Conference proceeding › Conference contributionOpen AccessFile
Superconvergent error estimates for position-dependent smoothness-increasing accuracy-conserving (SIAC) post-processing of discontinuous Galerkin solutionsJi, L., van Slingerland, P., Ryan, J. & Vuik, K., 2014, Mathematics of Computation, 83, p. 2239 2262 p.
Research output: Contribution to specialist publication › Article