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On numerical methods of solving the Cauchy singular integral equation

✍ Scribed by R.P. Srivastav; Fenggang Zhang

Publisher
Elsevier Science
Year
1989
Tongue
English
Weight
296 KB
Volume
2
Category
Article
ISSN
0893-9659

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We develop a fast fully discrete Fourier-Galerkin method for solving a class of singular boundary integral equations. We prove that the number of multiplications used in generating the compressed matrix is O(n log 3 n), and the solution of the proposed method preserves the optimal convergence order