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- W2890831057 abstract "In this paper, we investigate the local superconvergence of the discontinuous Galerkin (DG) solutions on quasi-graded meshes for nonlinear delay differential equations with vanishing delay. It is shown that the optimal order of the DG solution at the mesh points is O(h2m+1). By analyzing the supercloseness between the DG solution and the interpolation Πhu of the exact solution, we get the optimal order O(hm+2) of the DG solution at characteristic points. We then extend the convergence results of DG solutions to state dependent delay differential equations. Numerical examples are provided to illustrate the theoretical results." @default.
- W2890831057 created "2018-09-27" @default.
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- W2890831057 date "2019-03-01" @default.
- W2890831057 modified "2023-09-30" @default.
- W2890831057 title "Superconvergence of discontinuous Galerkin methods for nonlinear delay differential equations with vanishing delay" @default.
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- W2890831057 doi "https://doi.org/10.1016/j.cam.2018.08.029" @default.
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