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.
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