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An approximate computation of hypersingular integrals on interval. (English. Chinese original) Zbl 0989.65046

Chin. J. Numer. Math. Appl. 21, No. 1, 25-33 (1999); translation from J. Numer. Methods Comput. Appl. 19, No. 2, 118-126 (1998).
Summary: In using the method given by P. Linz [Computing 35, 345-353 (1985; Zbl 0569.65016)] to compute hypersingular integrals on an interval, one should select the mesh carefully in such a way that singular points falls near the center of a subinterval. A numerical method given in this paper might solve this problem. This new method is very simple, easy to be implemented, and above all, not affected by the location of the singular point.

MSC:

65D32 Numerical quadrature and cubature formulas
41A55 Approximate quadratures
30E20 Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane

Citations:

Zbl 0569.65016
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