Abstract
Some quadrature formulae of hypersingular integrals are established and their estimate of remainder and convergence are also given.
Supported by the NNSF and the SF of SME of China
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References
Kutt H. R., The numerical evaluation of principal value integrals by finite—part integration, Numer. Math., 24 (1975), 205–210.
Paget D. F., The numerical evaluation of Hadamard finite-part integrals, Numer. Math., 36 (1981), 447–453.
Du Jinyuan, The quadrature formulas for singular integrals of higher order, Chinese Ann. of Math., 6A(1985), 5, 625–636.
Du Jinyuan, The quadrature formulas of the closed type and the transformed weight type for singular integrals of higher order, J. of Math. (PRC), 6(1986), 4, 439–454.
Du Jinyuan, A note on Riemann boundary value problem of non-normal type, J. of Math. (PRC), 10 (1990), 1, 111–120.
Lu Jianke, Peano derivatives and singular integrals of arbitrary order, Wuhan University J. of Natural Sciences, 1(1990), 1, 9–13.
Lu Jian-ke, Boundary Value Problems for Analytic Functions, World Scientific., 1993.
Lu Jianke, Singular integrals of higher order and their applications to the solutions of singular integral equations, Sci. & Tech. of Wuhan University, 2(1977), 106–122.
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© 2000 Kluwer Academic Publishers
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Du, J.Y., Hu, J.C. (2000). On Quadrature Formulae of Hypersingular Integrals. In: Begehr, H.G.W., Gilbert, R.P., Kajiwara, J. (eds) Proceedings of the Second ISAAC Congress. International Society for Analysis, Applications and Computation, vol 7. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-0269-8_16
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DOI: https://doi.org/10.1007/978-1-4613-0269-8_16
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4613-7970-6
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