Skip to Main Content

Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2024 MCQ for Mathematics of Computation is 1.78.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

An optimal-order error estimate for the discontinuous Galerkin method
HTML articles powered by AMS MathViewer

by Gerard R. Richter PDF
Math. Comp. 50 (1988), 75-88 Request permission

Abstract:

In this paper a new approach is developed for analyzing the discontinuous Galerkin method for hyperbolic equations. For a model problem in ${R^2}$, the method is shown to converge at a rate $O({h^{n + 1}})$ when applied with nth degree polynomial approximations over a semiuniform triangulation, assuming sufficient regularity in the solution.
References
Similar Articles
Additional Information
  • © Copyright 1988 American Mathematical Society
  • Journal: Math. Comp. 50 (1988), 75-88
  • MSC: Primary 65M15; Secondary 65M60, 65N30
  • DOI: https://doi.org/10.1090/S0025-5718-1988-0917819-3
  • MathSciNet review: 917819