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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 vortex methods for Euler’s equations
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by Ole Hald and Vincenza Mauceri del Prete PDF
Math. Comp. 32 (1978), 791-809 Request permission

Abstract:

A numerical method for approximating the flow of a two dimensional incompressible, inviscid fluid is examined. It is proved that for a short time interval Chorin’s vortex method converges superlinearly toward the solution of Euler’s equations, which govern the flow. The length of the time interval depends upon the smoothness of the flow and of the particular cutoff. The theory is supported by numerical experiments. These suggest that the vortex method may even be a second order method.
References
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Additional Information
  • © Copyright 1978 American Mathematical Society
  • Journal: Math. Comp. 32 (1978), 791-809
  • MSC: Primary 76C05; Secondary 65N99
  • DOI: https://doi.org/10.1090/S0025-5718-1978-0492039-1
  • MathSciNet review: 492039