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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.

Type
Research Article
Information
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.)