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International Journal of Computer Mathematics Volume 87, 2010 - Issue 4
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Section B

The superconvergence of composite trapezoidal rule for Hadamard finite-part integral on a circle and its application

Xiaoping Zhang LSEC, Institute of Computational Mathematics and Scientific/Engineering Computing, Academy of Mathematics and Systems Science, CAS, Beijing, P.R. ChinaCorrespondence[email protected]
,
Jiming Wu Laboratory of Computational Physics, Institute of Applied Physics and Computational Mathematics, Beijing, P.R. China
&
Dehao Yu LSEC, Institute of Computational Mathematics and Scientific/Engineering Computing, Academy of Mathematics and Systems Science, CAS, Beijing, P.R. China
Pages 855-876 | Received 04 Dec 2007, Published online: 02 Oct 2008

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Qingli Zhao, Hongxing Rui & Jin Li. (2013) Superconvergence of Hermite rule for hypersingular integrals on interval. International Journal of Computer Mathematics 90:7, pages 1448-1458.
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Articles from other publishers (11)

Jin Li & Yongling Cheng. (2022) Superconvergence of Newton–Cotes rule for computing hypersingular integral on a circle. Computational and Applied Mathematics 41:6.
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Eun-Young Kang, Ji-Ho Lim, Seunggon Choi, Jong Wook Mun, Yu Kyung Lee, Sun Kon Lee & Dae-Yong Jeong. (2020) Mechanical Properties of PVB 3D Printed Output Fumigated with Ethanol. Korean Journal of Materials Research 30:7, pages 369-375.
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Zhenhua Li, Xin Xiang, Tinghe Hu, Ahmed Abu-Siada, Zhenxing Li & Yanchun Xu. (2020) An improved digital integral algorithm to enhance the measurement accuracy of Rogowski coil-based electronic transformers. International Journal of Electrical Power & Energy Systems 118, pages 105806.
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Jin Li. (2017) The extrapolation methods based on Simpson’s rule for computing supersingular integral on interval. Applied Mathematics and Computation 310, pages 204-214.
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Jin Li, Hongxing Rui & Dehao Yu. (2015) Trapezoidal Rule for Computing Supersingular Integral on a Circle. Journal of Scientific Computing 66:2, pages 740-760.
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Jin Li, Benxue Gong & Wei Liu. (2016) The Rectangle Rule for Computing Cauchy Principal Value Integral on Circle. American Journal of Computational Mathematics 06:02, pages 98-107.
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Chaolang Hu, Xiaoming He & Tao Lü. (2015) Euler-Maclaurin expansions and approximations of hypersingular integrals. Discrete and Continuous Dynamical Systems - Series B 20:5, pages 1355-1375.
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Jin Li, XiaoPing Zhang & DeHao Yu. (2013) Extrapolation methods to compute hypersingular integral in boundary element methods. Science China Mathematics 56:8, pages 1647-1660.
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Chaoxia Yang. (2013) A unified approach with spectral convergence for the evaluation of hypersingular and supersingular integrals with a periodic kernel. Journal of Computational and Applied Mathematics 239, pages 322-332.
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Jin Li, Xiaoping Zhang & Dehao Yu. (2010) Superconvergence and ultraconvergence of Newton–Cotes rules for supersingular integrals. Journal of Computational and Applied Mathematics 233:11, pages 2841-2854.
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Xiaoping Zhang, Jiming Wu & Dehao Yu. (2009) The superconvergence of composite Newton–Cotes rules for Hadamard finite-part integral on a circle. Computing 85:3, pages 219-244.
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