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21.—Truncation Error in the Solution of Integral Equations

Published online by Cambridge University Press:  14 February 2012

D. S. Jones
D. S. Jones
Affiliation:
Department of Mathematics, University of Dundee.
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Synopsis

A way is suggested of modifying the kernel of an integral equation of the second kind so that truncation of the algebraic system of equations corresponding to the new kernel is subject to less error than that for the original kernel. A computable bound for the error is derived.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 71 , Issue 3 , 1973 , pp. 263 - 273
Copyright
Copyright © Royal Society of Edinburgh 1973

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References

References to Literature

[1]Harrington, R. F., 1968. Field Computation by Moment Methods. New York: MacMillan.Google Scholar
[2]Jones, D. S., 1966. Generalised Functions. London: McGraw-Hill.Google Scholar
[3]Jones, D. S., 1966. J. Inst. Math. Appl., 2, 197.CrossRefGoogle Scholar
[4]Jones, D. S., 1969. Phil. Trans. Roy. Soc. Land., 265A, 1.Google Scholar