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International Journal of Computer Mathematics Volume 87, 2010 - Issue 15
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Section B

Robust projection method for Fredholm integral equation of the second kind

Meiyue Shao Shanghai Key Laboratory for Contemporary Applied Mathematics, School of Mathematical Sciences, Fudan University, Shanghai, 200433, China
,
Weiguo Gao Shanghai Key Laboratory for Contemporary Applied Mathematics, School of Mathematical Sciences, Fudan University, Shanghai, 200433, China; MOE Key Laboratory for Computational Physical Sciences, ChinaCorrespondence[email protected]
&
Yunxin Zhang Shanghai Key Laboratory for Contemporary Applied Mathematics, School of Mathematical Sciences, Fudan University, Shanghai, 200433, China
Pages 3455-3466 | Received 07 Aug 2008, Accepted 01 Jun 2009, Published online: 27 Sep 2010

References

  • Abdou , M. A. 1996 . Fredholm integral equation of the second kind with potential kernel . J. Comput. Appl. Math. , 72 : 161 – 167 .
  • Atkinson , K. E. 1976 . A Survey of Numerical Methods for the Solutions of Fredholm Integral Equations of the Second Kind , Philadelphia, PA : SIAM .
  • Atkinson , K. E. 1997 . The Numerical Solution of Integral Equations of the Second Kind , Cambridge, MA : Cambridge University Press .
  • Cao , Y. 2007 . Hybrid collocation methods for Fredholm integral equations with weakly singular kernels . Appl. Numer. Math. , 57 : 549 – 561 .
  • Dick , J. , Kritzer , P. , Kuo , F. Y. and Sloan , I. H. 2007 . Lattice-Nyström method for Fredholm integral equations of the second kind with convolution type kernels . J. Complexity , 33 ( 4–6 ) : 752 – 772 .
  • García-Cuerva , J. and Kazarian , K. S. 1995 . Spline wavelet bases of weighted Lp spaces, . Proc. Amer. Math. Soc. , 123 ( 2 ) : 433 – 439 .
  • Golberg , M. A. 1990 . Numerical Solution of Integral Equations , New York : Plenum Press .
  • Golub , G. H. and Van Loan , C. F. 1996 . Matrix Computations , 3 , Baltimore, MD : The Johns Hopkins University Press .
  • Jerri , A. J. 1998 . Introduction to Integral Equations with Applications , 2 , New York : Wiley .
  • Kantorovich , L. 1948 . Functional analysis and applied mathematics . Uspehi Mat. Nauk. , 3 : 89 – 185 .
  • Khater , A. H. , Shamardan , A. B. , Callebaut , D. K. and Sakran , M. R.A. 2007 . Legendre solutions of integral equations with logarithmic kernels . Int. J. Comput. Math. , 85 ( 1 ) : 53 – 63 .
  • Kress , R. 1999 . Linear Integral Equations , 2 , New York : Springer .
  • Moret , I. 1997 . A note on the superlinear convergence of GMRES . SIAM J. Numer. Anal. , 34 ( 2 ) : 513 – 516 .
  • Nyström , E. J. 1930 . Über die praktische Auflösung von Integralgleichungen mit Anwendungen auf Randwertaufgaben . Acta Mathematica , 54 : 185 – 204 .
  • Rabbani , M. , Maleknejad , K. , Aghazadeh , N. and Mollapourasl , R. 2007 . Computational projection methods for solving Fredholm integral equation . Appl. Math. Comput. , 191 : 140 – 143 .
  • Sloan , I. 1976 . Improvement by iteration for compact operator equations . Math. Comput. , 30 : 758 – 764 .
  • Xu , S. 2006 . Real Analysis and Functional Analysis , Shanghai : Fudan University Press . (in Chinese)
  • Zygmund , A. 2004 . Trigonometric Series, Vols. 1 & 2 , 3 , Cambridge, MA : Cambridge University Press .

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