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A quasi-wavelet algorithm for second kind boundary integral equations (1999)

Chen, Han-Lin ; Peng, Si-Long

Springer

Advances in computational mathematics 11 (1999), S. 355-375

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ISSN: 1572-9044

Keywords: periodic quasi-wavelet ; integral equation ; multiscale ; 45G10 ; 65F10 ; 65J15 ; 65N30

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Notes: Abstract In solving integral equations with a logarithmic kernel, we combine the Galerkin approximation with periodic quasi-wavelet (PQW) [4]. We develop an algorithm for solving the integral equations with only O(N log N) arithmetic operations, where N is the number of knots. We also prove that the Galerkin approximation has a polynomial rate of convergence.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1023/A:1018992413504

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