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- Title
A posteriori error estimates of discontinuous Galerkin methods for non-standard Volterra integro-differential equations.
- Authors
Ma, Jingtang; Brunner, Hermann
- Abstract
In this paper we establish a posteriori error estimates for the discontinuous Galerkin (DG) method applied to linear, semilinear and non-standard (non-linear) Volterra integro-differential equations. We also present an analysis of the DG method with quadrature for the memory term. Numerical experiments based on three integro-differential equations are used to illustrate various aspects of the error analysis.
- Subjects
GALERKIN methods; INTEGRAL equations; BESSEL functions; DIFFERENTIAL equations; INTEGRO-differential equations
- Publication
IMA Journal of Numerical Analysis, 2006, Vol 26, Issue 1, p78
- ISSN
0272-4979
- Publication type
Article
- DOI
10.1093/imanum/dri024