Recent Developments in Discontinuous Galerkin Finite Element Methods for Partial Differential Equations pp 25-62 | Cite as

# Discontinuous Galerkin Method for Time-Dependent Problems: Survey and Recent Developments

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## Abstract

In these lectures we give a general survey on discontinuous Galerkin methods for solving time-dependent partial differential equations. We also present a few recent developments on the design, analysis, and application of these discontinuous Galerkin methods.

## Keywords

Discontinuous Galerkin method Time-dependent partial differential equations Superconvergence Positivity-preserving*δ*-functions.

## Notes

### 7 Acknowledgement

The work of the author was supported in part by NSF grant DMS-1112700 and DOE grant DE-FG02-08ER25863.

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