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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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Vortex method for two dimensional Euler equations in bounded domains with boundary correction
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by Lung-an Ying PDF
Math. Comp. 67 (1998), 1383-1400 Request permission

Abstract:

The vortex method for the initial-boundary value problems of the Euler equations for incompressible flow is studied. A boundary correction technique is introduced to generate second order accuracy. Convergence and error estimates are proved.
References
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Additional Information
  • Lung-an Ying
  • Affiliation: Department of Mathematics, Peking University; Research Institute for Mathematical Sciences, Kyoto University
  • Address at time of publication: School of Mathematical Sciences, Peking University, Beijing, 100871, China
  • Email: yingla@sxx0.math.pku.edu.cn
  • Received by editor(s): March 22, 1996
  • Received by editor(s) in revised form: April 23, 1997
  • © Copyright 1998 American Mathematical Society
  • Journal: Math. Comp. 67 (1998), 1383-1400
  • MSC (1991): Primary 65M99; Secondary 35Q35, 76C05
  • DOI: https://doi.org/10.1090/S0025-5718-98-00970-3
  • MathSciNet review: 1474659