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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Bounds for the variational ratio of arbitrary linear systems
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by J. Ernest Wilkins
Proc. Amer. Math. Soc. 37 (1973), 128-136
DOI: https://doi.org/10.1090/S0002-9939-1973-0315074-X
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Abstract:

Melese-d’Hospital and Wilkins have recently found bounds for the error involved in replacing the maximum temperature in some geometrically simple regions, containing a nonuniformly distributed heat source, by the maximum temperature in the same region containing a uniform heat source. In this paper we present the formal mathematical reasoning in a general framework suitable for other applications.
References
    G. B. Melese-d’Hospital and J. E. Wilkins, Heat conduction in one-dimensional geometries with nonuniform internal heat generation, Proc. Fifth Internat. Heat Transfer Conference, Versailles, 1970.
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Bibliographic Information
  • © Copyright 1973 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 37 (1973), 128-136
  • MSC: Primary 26A86
  • DOI: https://doi.org/10.1090/S0002-9939-1973-0315074-X
  • MathSciNet review: 0315074