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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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On error estimates of the projection methods for the Navier-Stokes equations: Second-order schemes
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by Jie Shen PDF
Math. Comp. 65 (1996), 1039-1065 Request permission

Abstract:

We present in this paper a rigorous error analysis of several projection schemes for the approximation of the unsteady incompressible Navier-Stokes equations. The error analysis is accomplished by interpreting the respective projection schemes as second-order time discretizations of a perturbed system which approximates the Navier-Stokes equations. Numerical results in agreement with the error analysis are also presented.
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Additional Information
  • Jie Shen
  • Affiliation: Department of Mathematics, Penn State University, University Park, Pennsylvania 16802
  • Address at time of publication: Department of Mathematics, Penn State University, University Park, Pennsylvania 16802
  • MR Author ID: 257933
  • ORCID: 0000-0002-4885-5732
  • Email: shen_j@math.psu.edu
  • Received by editor(s): March 3, 1994
  • Received by editor(s) in revised form: February 11, 1995, and March 6, 1995
  • Additional Notes: This work was supported in part by NSF Grant #9205300.
  • © Copyright 1996 American Mathematical Society
  • Journal: Math. Comp. 65 (1996), 1039-1065
  • MSC (1991): Primary 65M15, 35Q30; Secondary 35A40, 65J15
  • DOI: https://doi.org/10.1090/S0025-5718-96-00750-8
  • MathSciNet review: 1348047