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How to Solve Differential Equations

Published online by Cambridge University Press:  03 November 2016

Lewis F. Richardson
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Extract

I.The first obstacle may be one of sentiment. It is said that in a certain grassy part of the world a man will walk a mile to catch a horse, whereon to ride a quarter of a mile to pay an afternoon call. Similarly, it is not quite respectable to arrive at a mathematical destination, under the gaze of a learned society, at the mere footpace of arithmetic. Even at the expense of considerable time and effort, one should be mounted on the swift steed of symbolic analysis.

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Type
Research Article
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The Mathematical Gazette , Volume 12 , Issue 177 , July 1925, pp. 415 - 421
Copyright
Copyright © Mathematical Association 1925 

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References

page 415 note * See (i) The Calculus of Observations, by Whittaker and Robinson, ch. xiv. (Blackie & Sons, Ltd.) (ii) Practical Mathematical Analysis, by Sanden. (Methuen, 1923.) (iii) Piaggio’s Booh on Differential Equations, (iv) Also various scattered papers by Runge, Huen, Kutta and N. Kryloff.

page 415 note † References are given briefly thus to publications by L. F. Richardson : F.D. relera to London Roy. Soc. Phil. Trans., A 210, pp. 307-357. S.S.U. refers to London Roy. Soc. Phil. Trans., A 223, pp. 345-382. W.P. refers to Weather Prediction by Numerical Process (Camb. Univ. Press).

page 416 note * See Sheppard, W. F., “Central Difference Formulae,” Proc. Land. Math. Soc. xxxi. pp. 449 to 488 (1899).CrossRefGoogle Scholar

page 417 note * Vide Differential Equations, by Forsyth. (Macmillan.)