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Original Articles

Application of richardson extrapolation to linear functional equations with mildly smooth solutions

Pages 239-250 | Received 07 Jan 1992, Published online: 19 Mar 2007

References

  • Stetter , H. J. 1965 . Asymptotic expansions for the error of discretization algorithms for non-linear functional equations . Numer. Math. , 7 : 18 – 31 .
  • Marchuk , G. I. and Shaidurov , V. V. 1983 . Difference Methods and Their Extrapolations , New York : Springer-Verlag .
  • Davis , P. J. Interpolation and Approximation , New York : Dover .
  • Abbott , W. E. and Allen , E. J. 1991 . Richardson extrapolation applied to difference methods for numerically solving the neutron transport equation in spherical geometry . Nuclear Science and Engineering , 108 : 278 – 288 .
  • Baker , C T. H. 1977 . The Numerical Treatment of Integral Equations , Oxford : Clarendon Press .
  • Burden , R. L. and Faires , J. D. 1985 . Numerical Analysis , Boston : Weber and Schmidt . Prindle

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