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Zbl 0771.65088
Alpert, B.; Beylkin, G.; Coifman, R.; Rokhlin, V.
Wavelet-like bases for the fast solution of second-kind integral equations. (English)
[J] SIAM J. Sci. Comput. 14, No.1, 159-184 (1993). ISSN 1064-8275; ISSN 1095-7197/e

For the sparse representation of discretizations of integral equations a class of vector-space bases is introduced. These bases are applied to the numerical solution of second kind integral equations with logarithmic kernel. The given method is illustrated by numerical results.
[L.Hacia (Poznań)]
MSC 2000:
*65R20 Integral equations (numerical methods)
45E10 Integral equations of the convolution type

Keywords: vector-space bases; wavelets; sparse matrices; fast numerical algorithms; wavelet-like bases; logarithmic kernel; second kind integral equations

Cited in: Zbl 0967.65120 Zbl 0960.65147 Zbl 0912.65095

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