Numerical evaluation of the integral
- 24 October 1958
- journal article
- research article
- Published by Cambridge University Press (CUP) in Mathematical Proceedings of the Cambridge Philosophical Society
- Vol. 54 (4) , 454-462
- https://doi.org/10.1017/s0305004100003005
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.This publication has 3 references indexed in Scilit:
- The statistical distribution of the curvature of a random Gaussian surfaceMathematical Proceedings of the Cambridge Philosophical Society, 1958
- A process for the step-by-step integration of differential equations in an automatic digital computing machineMathematical Proceedings of the Cambridge Philosophical Society, 1951
- Tafeln der Besselschen, Theta-, Kugel- und anderer FunktionenPublished by Springer Nature ,1930