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Journal of the American Mathematical Society

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

ISSN 1088-6834 (online) ISSN 0894-0347 (print)

The 2020 MCQ for Journal of the American Mathematical Society is 4.79.

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Convergence of the random vortex method in two dimensions
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by Ding-Gwo Long PDF
J. Amer. Math. Soc. 1 (1988), 779-804 Request permission

Abstract:

A theoretical framework for analyzing the random vortex method is presented. It extends and modifies the analysis of the inviscid vortex method in a natural and unified manner. The rate of convergence of the random vortex method in two dimensions is obtained by analyzing the consistency error and justifying the stability estimate. The sampling error introduced by the random motions of finitely many vortices is the dominant component of the consistency error in terms of order. It is estimated by applying Bennett’s inequality.
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Additional Information
  • © Copyright 1988 American Mathematical Society
  • Journal: J. Amer. Math. Soc. 1 (1988), 779-804
  • MSC: Primary 65M10; Secondary 65M15, 76-08, 76C05, 76D05
  • DOI: https://doi.org/10.1090/S0894-0347-1988-0958446-1
  • MathSciNet review: 958446