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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.


Numerical approximations of one-dimensional linear conservation equations with discontinuous coefficients
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by Laurent Gosse and François James PDF
Math. Comp. 69 (2000), 987-1015 Request permission


Conservative linear equations arise in many areas of application, including continuum mechanics or high-frequency geometrical optics approximations. This kind of equation admits most of the time solutions which are only bounded measures in the space variable known as duality solutions. In this paper, we study the convergence of a class of finite-difference numerical schemes and introduce an appropriate concept of consistency with the continuous problem. Some basic examples including computational results are also supplied.
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Additional Information
  • Laurent Gosse
  • Affiliation: Foundation for Research and Technology Hellas, Institute of applied and Computational Mathematics, P.O. Box 1527, 71110 Heraklion, Crete, Greece
  • MR Author ID: 611045
  • Email:
  • François James
  • Affiliation: MAPMO, UMR CNRS 6628, Université d’Orléans, BP 6759, 45067 Orléans Cedex 2, France
  • Email:
  • Received by editor(s): September 9, 1998
  • Published electronically: March 1, 2000
  • Additional Notes: Work partially supported by TMR project HCL #ERBFMRXCT960033.
  • © Copyright 2000 American Mathematical Society
  • Journal: Math. Comp. 69 (2000), 987-1015
  • MSC (1991): Primary 65M06, 65M12; Secondary 35F10
  • DOI:
  • MathSciNet review: 1670896