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Section B

Taylor expansion method for integrals with algebraic-logarithmic singularities

Pages 2618-2624 | Received 03 Nov 2009, Accepted 22 Dec 2010, Published online: 25 May 2011

References

  • Hasegawa , T. 1997 . Numerical integration of functions with poles near the interval of integration . J. Comput. Appl. Math. , 87 : 339 – 357 .
  • Hasegawa , T. and Sugiura , H. 2007 . Quadrature rule for indefinite integral of algebric-logarithmic singular integrands . J. Comput. Appl. Math. , 205 : 487 – 496 .
  • Hasegawa , T. and Torii , T. 1988 . Indefinite integration involving logarithmic singularity by the Chebyshev expansion . Int. Ser. Numer. Math. , 86 : 193 – 200 .
  • Kang , S. , Koltracht , I. and Rawitscher , G. 2003 . Nyström–Clenshaw–Curtis quadrature for integral equations with discontinuous kernels . Math. Comput. , 72 : 729 – 756 .
  • Moegeato , G. and Scuderi , L. 1998 . High order methods for weakly singular integral equations with nonsmooth input functions . Math. Comput. , 67 : 1493 – 1515 .
  • Piessens , R. 2000 . Computing integral transforms and solving integral equations using Chebyshev polynomial approximations . J. Comput. Appl. Math. , 121 : 113 – 124 .

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