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Original Articles

Numerical quadrature based on an exponential type of interpolation

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Pages 193-209 | Received 13 Mar 1990, Published online: 08 May 2007

References

  • Vanden Berghe , G. , De Meyer , H. and Vanthournout , J. 1990 . On a class of modified Newton-Cotes quadrature formulae based upon mixed type interpolation . J. Comp. Appl. Math. , 31 : 331 – 349 .
  • De Meyer , H. , Vanthournout , J. and Vanden Berghe , G. 1990 . On a new type of mixed interpolation . J. Comp. Appl. Math. , 31 : 55 – 69 .
  • Vanthournout , J. , Vanden Berghe , G. and De Meyer , H. 1990 . Families of backward differentiation methods based on a new type of mixed interpolation . Computers and Math. with Appl. , 20 : 19 – 30 .
  • Vanden Berghe , G. , De Meyer , H. and Vanthournout , J. 1990 . A modified Numerov integration method for second order periodic initial-value problems . Intern. J. Computer Math. , 32 : 233 – 242 .
  • Burden , R. L. , Fairs , J. D. and Reynolds , A. C. 1978 . Numerical Analysis , 2nd ed. , Boston, Massachusetts : Weber and Schmidt . Prindle
  • Jordan , C. 1965 . Calculys of Finite Differences , New York : Chelsea .
  • Steffensen , J. F. 1950 . Interpolation , 2nd ed. , New York : Chelsea . Williamson and Wilkins, Baltimore (1927)
  • Schumaker , L. L. 1981 . Spline Functions: Basic Theory , New York : J. Wiley and Sons .
  • Abramowitz , M. and Stegun , I. A. 1972 . Handbook of Mathematical Functions , 8th ed. , New York : Dover .

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