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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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Parabolic approximations of the convection-diffusion equation
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by J.-P. Lohéac, F. Nataf and M. Schatzman PDF
Math. Comp. 60 (1993), 515-530 Request permission

Abstract:

We propose an approximation of the convection-diffusion operator which consists in the product of two parabolic operators. This approximation is much easier to solve than the full convection-diffusion equation, which is elliptic in space. We prove that this approximation is of order three in the viscosity and that the classical parabolic approximation is of order one in the viscosity. Numerical examples are given to demonstrate the effectiveness of our new approximation.
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Additional Information
  • © Copyright 1993 American Mathematical Society
  • Journal: Math. Comp. 60 (1993), 515-530
  • MSC: Primary 65N06; Secondary 65N15, 76M20, 76R99
  • DOI: https://doi.org/10.1090/S0025-5718-1993-1160276-7
  • MathSciNet review: 1160276