Abstract
In this paper we show theoretical convergence of a second-order Adams-Bashforth discontinuous Galerkin method for approximating smooth solutions to scalar nonlinear conservation laws with E-fluxes. A priori error estimates are also derived for a first-order forward Euler discontinuous Galerkin method. Rates are optimal in time and suboptimal in space; they are valid under a CFL condition.
Funding: The authors are funded in part by the grants NSF-DMS 1312391 and NSF 1318348 and by a training fellowship from the Keck Center of the Gulf Coast Consortia, on the Training Program in Biomedical Informatics, National Library of Medicine (NLM) T15LM007093.
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Articles in the same Issue
- Frontmatter
- Stability and consistency of a finite difference scheme for compressible viscous isentropic flow in multi-dimension
- A note on distributionally robust optimization under moment uncertainty
- A priori error estimates of Adams-Bashforth discontinuous Galerkin Methods for scalar nonlinear conservation laws
Articles in the same Issue
- Frontmatter
- Stability and consistency of a finite difference scheme for compressible viscous isentropic flow in multi-dimension
- A note on distributionally robust optimization under moment uncertainty
- A priori error estimates of Adams-Bashforth discontinuous Galerkin Methods for scalar nonlinear conservation laws