The superconvergence of the composite trapezoidal rule for Hadamard finite part integrals. Numer Math, 2005, 102: 343-363Wu,J.M.,Sun,W.The superconvergence of the composite trapezoidal rule for Hadamard finite part integrals. Numerical Mathematics . 2005...
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Wu JM, Sun WW (2005) The superconvergence of the composite trapezoidal rule for Hadamard finite part integrals. Numer Math 102: 343–363Wu, J.M., Sun, W.W.: The superconvergence of the composite trapezoidal rule for Hadamard finite part integrals. Numer. Math. 102 , 343–363 (2005) ...
(n+1)-composite Trapezoidal rule.Additionally,in order to increase the accuracy of the proposed approximations by reducing the true errors,we incorporate the so-called Romberg integration,which is an extrapolation formula of the Trapezoidal rule for integration,into our proposed approaches.Several ...
The adaptive composite trapezoidal rule for Hadamard finite-part integrals on an intervaldoi:10.1016/j.cam.2017.04.041In this article, we discuss an adaptive strategy of implementing trapezoidal rule for evaluating Hadamard finite-part integrals with kernels having different singularity. The purpose is ...