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Two numerical methods for solving integral equations with a weak singularity

✍ Scribed by V. A. Bakalets; N. P. Gritsyuk; B. A. Ostudin; V. A. Puchka


Publisher
Springer US
Year
1992
Tongue
English
Weight
450 KB
Volume
58
Category
Article
ISSN
1573-8795

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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