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A priori error estimates of Adams-Bashforth discontinuous Galerkin Methods for scalar nonlinear conservation laws.
- Source :
-
Journal of Numerical Mathematics . Sep2018, Vol. 26 Issue 3, p151-172. 22p. - Publication Year :
- 2018
-
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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 15702820
- Volume :
- 26
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Journal of Numerical Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 132626682
- Full Text :
- https://doi.org/10.1515/jnma-2017-0011