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.
- 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
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.
- Stephen P. Timoshenko, Theory of elastic stability, Engineering Societies Monographs, McGraw-Hill Book Co., Inc., New York-Toronto-London, 1961. 2nd ed; In collaboration with James M. Gere. MR 0134026
- R. V. Southwell, Relaxation Methods in Theoretical Physics, Oxford, at the Clarendon Press, 1946. MR 0018983
R. V. Southwell, Relaxation methods in engineering science, Oxford Univ. Press, 1940.
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.
S. Timoshenko, Theory of elastic stability, McGraw-Hill Book Co., Inc., 1936. p. 8.
R. V. Southwell, Relaxation methods in theoretical physics, Oxford Univ. Press, 1946. p. 15.
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Article copyright:
© Copyright 1948
American Mathematical Society
