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Numerical evaluation of the integral

Published online by Cambridge University Press:  24 October 2008

Diana Catton  and
B. G. Millis
Diana Catton
Affiliation:
University Mathematical LaboratoryCambridge
B. G. Millis
Affiliation:
University Mathematical LaboratoryCambridge
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Abstract

Numerical values of the above integral are given for 3/2λ√3 = 0(0·1)1, to six decimals for |ω| = 0(0·l)2·0(0·2)4·8 and to seven decimals for |ω| = 5(0·5)10(1)15.

The integral satisfies a third-order differential equation; this equation is integrated numerically for ω ≥ 0 and ω ≤ 0, and in each case the method of isolating the solution which satisfies f(ω) → 0 as ω → ∞ is described.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 54 , Issue 4 , October 1958 , pp. 454 - 462
Copyright
Copyright © Cambridge Philosophical Society 1958

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References

REFERENCES

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