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Mechanical quadrature methods and extrapolation for solving nonlinear boundary Helmholtz integral equations

✍ Scribed by Pan Cheng; Jin Huang; Zhu Wang


Publisher
Springer
Year
2011
Tongue
English
Weight
197 KB
Volume
32
Category
Article
ISSN
0253-4827

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Fast Fourier–Galerkin methods for solvin
✍ Ying Jiang; Yuesheng Xu πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 463 KB

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