Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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The approximate numerical solution of the non-homogeneous linear Fredholm integral equation by relaxation methods


Author: F. S. Shaw
Journal: Quart. Appl. Math. 6 (1948), 69-76
MSC: Primary 65.0X
DOI: https://doi.org/10.1090/qam/24251
MathSciNet review: 24251
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Abstract: Relaxation methods are applied to the problem of finding an approximate numerical solution to the non-homogeneous linear Fredholm integral equation. As an illustration of the technique the deflection of a simply supported single span beam subjected to both normal and end loads is found.


References [Enhancements On Off] (What's this?)

  • [1] R. V. Southwell, Relaxation Methods in Engineering Science. A treatise on approximate computation, Oxford Engineering Science Series, Oxford University Press, New York, 1940. MR 0005425
  • [2] F. S. Shaw, An introduction to relaxation methods (approximate methods of numerical computation), C. S. I. R. Div. of Aero. Report S M 78, Sept. 1946.
  • [3] Stephen P. Timoshenko, Theory of elastic stability, 2nd ed. In collaboration with James M. Gere. Engineering Societies Monographs, McGraw-Hill Book Co., Inc., New York-Toronto-London, 1961. MR 0134026
  • [4] R. V. Southwell, Relaxation Methods in Theoretical Physics, Oxford, at the Clarendon Press, 1946. MR 0018983

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DOI: https://doi.org/10.1090/qam/24251
Article copyright: © Copyright 1948 American Mathematical Society


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