Title :
The High Accuracy Algorithm for Cauchy Singular Integral and Cauchy Singular Integral Equation
Author :
Zeng, Guang ; Huang, Jin ; Jia, Hong-yan
Author_Institution :
Sch. of Math. & Sci., Univ. of Electron. Sci. Technol. of China, Chengdu, China
Abstract :
This paper presents high accuracy quadrature formulas for Cauchy singular integral, their Euler-Maclaurin expansions and extrapolation formulas. Using these formulas, we give high precision quadrature algorithm of singular integral equations. Numerical results are also provided to support our algorithms and analysis.
Keywords :
integral equations; medical signal processing; wavelet transforms; Cauchy singular integral; Cauchy singular integral equation; Euler-Maclaurin expansions; extrapolation formulas; high accuracy algorithm; precision quadrature algorithm; wavelet transform; Algorithm design and analysis; Biomedical imaging; Chebyshev approximation; Educational institutions; Extrapolation; Integral equations; Mathematics; Statistics; Wavelet transforms;
Conference_Titel :
Bioinformatics and Biomedical Engineering (iCBBE), 2010 4th International Conference on
Conference_Location :
Chengdu
Print_ISBN :
978-1-4244-4712-1
Electronic_ISBN :
2151-7614
DOI :
10.1109/ICBBE.2010.5516242
