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The solution by relaxation methods of ordinary differential equations

Published online by Cambridge University Press:  24 October 2008

L. Fox
L. Fox
Affiliation:
Mathematics Division, National Physical Laboratory, Teddington, Middlesex
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Extract

1. Introduction. Modern computational machines and methods are conveniently divided into two classes:

(A) Those depending on physical analogues, and therefore restricted in accuracy.

(B) Those depending on digital processes, and so capable of giving any desired accuracy.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 45 , Issue 1 , January 1949 , pp. 50 - 68
Copyright
Copyright © Cambridge Philosophical Society 1949

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References

REFERENCES

(1)Southwell, R. V.Relaxation methods in engineering science (Oxford University Press, 1940).Google Scholar
(2)Fox, L.Some improvements in the use of relaxation methods for the solution of ordinary and partial differential equations. Proc. Roy. Soc. A, 190 (1947), 31–59.Google Scholar
(3)Comrie, L. J.Interpolation and allied tables (H.M. Stationery Office, 1942).Google Scholar
(4)Fox, L. A short account of relaxation methods (in the Press).Google Scholar
(5)Falkner, V. M. and Skan, S. W.Phil. Mag. 12 (1931), 865.Google Scholar
(6)Hartree, D. R.Proc. Cambridge Phil. Soc. 33 (1937), 223–239.Google Scholar
(7)Allen, D. N. de G., Fox, L., Morz, H. and Southwell, R. V.Phil. Trans. A, 239 (1945), 488–500.Google Scholar
(8)Christopherson, D. G., Fox, L., Green, J. R., Shaw, F. S. and Southwell, R. V.Phil. Trans. A, 239 (1945), 461–87.Google Scholar