References
- Adams , R. A. and Fournier , J. 2003 . Sobolev Spaces, , 2 , New York : Academic Press .
- Atkinson , K. E. 1997 . The Numerical Solution of Integral Equations of the Second Kind , Cambridge, , UK : Cambridge University Press .
- Cao , Y. and Xu , Y. 1994 . Singularity preserving Galerkin methods for weakly singular Fredholm integral equations . J. Integral Equations Appl. , 6 : 303 – 334 .
- Chen , Z. and Xu , Y. 1998 . The Petrov–Galerkin and iterated Petrov–Galerkin method for second kind integral equations . SIAM J. Numer. Anal. , 35 : 406 – 434 .
- Chen , Z. , Xu , Y. and Zhao , J. 1999 . The discrete Petrov–Galerkin method for weakly singular integral equations . J. Integral Equ. Appl. , 11 : 1 – 35 .
- Chen , Z. , Micchelli , C. A. and Xu , Y. 2001 . A multilevel method for solving operator equations . J. Math. Anal. Appl. , 262 : 688 – 699 .
- Chen , Z. , Micchelli , C. A. and Xu , Y. 2002 . The fast collocation method for second kind integral equations . SIAM J. Numer. Anal. , 40 : 344 – 375 .
- Chen , Z. , Long , G. and Nelakanti , G. 2007 . The discrete multi-projection method for Fredholm integral equations of the second kind . J. Integral Equations Appl. , 19 : 143 – 162 .
- Graham , I. 1980 . The numerical solution of Fredholm integral equations of the second kind , Sydney : University of New South Wales . Ph.D thesis
- Graham , I. 1982 . Galerkin method for second kind integral equations with singularities . Math. Comp. , 39 : 519 – 533 .
- Kaneko , H. and Xu , Y. 1994 . Gaussian-type quadratures for weakly singular integrals and their applications to the Fredholm integral equation of the second kind . Math. Comp. , 62 : 739 – 753 .
- Kaneko , H. , Noren , R. D. and Padilla , P. A. 1998 . Singularity preserving Galerkin method for Hammerstein equations with logarithmic kernel . Adv. Comput. Math. , 9 : 363 – 376 .
- Kress , R. 1989 . Linear Integral Equations , New York : Springer-Verlag .
- Kulkarni , R. P. 2003 . A superconvergence result for solutions of compact operator equations . Bull. Austral. Math. Soc. , 68 : 517 – 528 .
- Pereverzev , S. V. and Askarov , M. 1995 . On the rate of convergence of methods of projection-iteration type for classes of weakly singular integral equations . Ukrainian Math. J. , 47 : 578 – 587 .
- Sloan , I. H. 1990 . Superconvergence, in Numerical Solution of Integral Equations , Edited by: Golberg , M. 35 – 70 . New York : Plenum .