A new method of evaluation of Howland integrals-Reference-Cited by-同舟云学术

A new method of evaluation of Howland integrals

Published:1971 Issue:114 Volume:25 Page:331-337
ISSN:0025-5718
Container-title:Mathematics of Computation
language:en
Short-container-title:Math. Comp.

Author:

Ling Chih Bing,Lin Jung

Abstract

In this paper, two Howland integrals are evaluated to 25D when the index is an odd integer. Those Howland integrals when the index is an even integer have been evaluated to 18D by Nelson. A new method of evaluation is used.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Link

http://www.ams.org/mcom/1971-25-114/S0025-5718-1971-0295537-2/S0025-5718-1971-0295537-2.pdf

Reference8 articles.

1. R. C. J. Howland, "On the stresses in the neighbourhood of a circular hole in a strip under tension," Philos. Trans. Roy. Soc. London Ser. A, v. 229, 1930, 49-86.

2. R. C. J. Howland & A. C. Stevenson, "Biharmonic analysis in a perforated strip," Philos. Trans. Roy. Soc. London Ser. A, v. 232, 1934, pp. 155-222.

3. C. B. Ling & C. W. Nelson, "On evaluation of Howland integrals," Ann. Acad. Sinica, Taiwan, v. 2, part 2, 1955, pp. 45-50.

4. Tables of values of 16 integrals of algebraic-hyperbolic type;Ling, Chih-Bing;Math. Tables Aids Comput.,1957

5. New tables of Howland’s and related integrals;Nelson, C. W.;Math. Comp.,1961

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