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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 2020 MCQ for Mathematics of Computation is 1.78.

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Convergence of the two-point upstream weighting scheme
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by Marie-Claude Viallon PDF
Math. Comp. 57 (1991), 569-584 Request permission

Abstract:

Convergence to the entropy solution of a second-order scheme for the resolution of scalar hyperbolic conservation laws is studied. We consider the case of the so-called two-point upstream weighting scheme, widely used in petroleum engineering, to solve fluid flows in porous media problems. We prove convergence of the two-point upstream weighting scheme to the entropy solution for both discrete and semidiscrete approximations.
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Additional Information
  • © Copyright 1991 American Mathematical Society
  • Journal: Math. Comp. 57 (1991), 569-584
  • MSC: Primary 65M12; Secondary 35L65
  • DOI: https://doi.org/10.1090/S0025-5718-1991-1094962-2
  • MathSciNet review: 1094962