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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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Convergence of a vortex in cell method for the two-dimensional Euler equations
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by G.-H. Cottet PDF
Math. Comp. 49 (1987), 407-425 Request permission

Abstract:

We describe a Vortex In Cell method in which the assignment function used to compute vorticity values at the grid points from particles is twice differentiable, while the velocity need only be continuous. We prove an error estimate for the velocity in terms of the meshsize, the interparticle distance and the size of the computational domain.
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Additional Information
  • © Copyright 1987 American Mathematical Society
  • Journal: Math. Comp. 49 (1987), 407-425
  • MSC: Primary 65P05; Secondary 35Q10, 76-08, 76N15
  • DOI: https://doi.org/10.1090/S0025-5718-1987-0906179-9
  • MathSciNet review: 906179