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Mathematics of Computation

Published by the American Mathematical Society, the Mathematics of Computation (MCOM) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

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

The 2020 MCQ for Mathematics of Computation is 1.98.

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The Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws. IV. The multidimensional case
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by Bernardo Cockburn, Suchung Hou and Chi-Wang Shu PDF
Math. Comp. 54 (1990), 545-581 Request permission


In this paper we study the two-dimensional version of the Runge-Kutta Local Projection Discontinuous Galerkin (RKDG) methods, already defined and analyzed in the one-dimensional case. These schemes are defined on general triangulations. They can easily handle the boundary conditions, verify maximum principles, and are formally uniformly high-ordrr accurate. Preliminary numerical results showing the performance of the schemes on a variety of initial-boundary value problems are shown.
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Additional Information
  • © Copyright 1990 American Mathematical Society
  • Journal: Math. Comp. 54 (1990), 545-581
  • MSC: Primary 65M60; Secondary 35L65, 65N30
  • DOI:
  • MathSciNet review: 1010597