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
β¦ LIBER β¦
Fast Iterative Methods for Solving of Boundary Nonlinear Integral Equations with Singularity
β Scribed by D. Rostami Varnos Fadrani; K. Maleknejad
- Book ID
- 110424044
- Publisher
- Springer
- Year
- 1999
- Tongue
- English
- Weight
- 624 KB
- Volume
- 1
- Category
- Article
- ISSN
- 1572-9206
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x,,, -J, m = 1, 2, 3 . . be an iteration method for solving the nonlinear problem F(X) = 0, where F(X) and its derivatives possess all of the properties required by T(x,,,). Then ifit can be established thatfor the problem at hand jlF(~,+ 1)i/ < &,, llF(x& V m > M,, (M, < co) and 0 < &,, < 1, dejini