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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.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.


Conservativity and weak consistency of a class of staggered finite volume methods for the Euler equations
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by R. Herbin, J.-C. Latché, S. Minjeaud and N. Therme HTML | PDF
Math. Comp. 90 (2021), 1155-1177 Request permission


We address here a class of staggered schemes for the compressible Euler equations; this scheme was introduced in recent papers and possesses the following features: upwinding is performed with respect to the material velocity only and the internal energy balance is solved, with a correction term designed on consistency arguments. These schemes have been shown in previous works to preserve the convex of admissible states and have been extensively tested numerically. The aim of the present paper is twofold: we derive a local total energy equation satisfied by the solutions, so that the schemes are in fact conservative, and we prove that they are consistent in the Lax-Wendroff sense.
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Additional Information
  • R. Herbin
  • Affiliation: I2M, CNRS and Université d’Aix-Marseille
  • MR Author ID: 244425
  • ORCID: 0000-0003-0937-1900
  • Email:
  • J.-C. Latché
  • Affiliation: Institut de Radioprotection et de Sûreté Nucléaire (IRSN), PSN-RES/SA2I, Cadarache, St-Paul-lez-Durance, 13115, France
  • MR Author ID: 715367
  • Email:
  • S. Minjeaud
  • Affiliation: Laboratoire Jean Dieudonné, Université de Nice-Sophia Antipolis
  • MR Author ID: 889818
  • Email:
  • N. Therme
  • Affiliation: CEA/CESTA 33116, Le Barp, France
  • MR Author ID: 1088061
  • Email:
  • Received by editor(s): December 8, 2019
  • Received by editor(s) in revised form: June 6, 2020
  • Published electronically: December 29, 2020
  • © Copyright 2020 American Mathematical Society
  • Journal: Math. Comp. 90 (2021), 1155-1177
  • MSC (2010): Primary 65M08
  • DOI:
  • MathSciNet review: 4232220