Modified gregory formulae based on mixed interpolation

References

• Baker , C. 1977 . The Numerical Treatment of Integral Equations , Oxford : Clarendon Press .
   Google Scholar
• Brass , H. 1977 . Quadraturverfahren , Gottingen : Vandenhoeck & Ruprecht .
   Google Scholar
• Delves , L. M. and Mohammed , J. L. 1985 . Computational Methods for Integral Equations , Cambridge : Combridge University Press .
   Google Scholar
• De Meyer , H. , Vanthournout , J. and Vanden Berghe , G. 1990 . On a new type of mixed interpolation . Journ. of Comp. and Appl Math , 30 : 55 – 69 .
   Web of Science ®Google Scholar
• De Meyer , H. , Vanthournout , J. , Vanden Berghe , G. and Vanderbauwhede , A. 1990 . On the error estimation for a mixed type of interpolation . Journ. of Comp. and Appl. Math , 32 : 407 – 415 .
   Web of Science ®Google Scholar
• Ehrenmark , U. T. 1988 . A three-point formula for numerical quadrature of oscillatory integrals with variable frequency . Journ. Comp. and Appl. Math , 21 : 87 – 99 .
   Web of Science ®Google Scholar
• Főrster , K.-J. 1987 . űber Monotonie und Fehlerkontrolle bei den Gregoryschen Quadraturenverfahren . Z. angew. Math. Mech , 67 : 257 – 266 .
   Google Scholar
• Frőberg , C.-E. 1979 . Introduction to Numerical Analysis , Reading, Massachussets : Addison-Wesley Publishing Company .
   Google Scholar
• Kincaid , D. and Cheney , W. 1990 . Numerical Analysis , Pacific Grove, California : Brooks/Cole Publishing Company .
   Google Scholar
• Kőhler , P. 1991 . On a generalization of compound Newton-Cotes Quadrature formulas . BIT , 31 : 540 – 544 .
   Google Scholar
• Martensen , E. 1970 . Zur Restglieddarstellung der Gregoryschen Quadraturformel ungerader Ordnung . Num. Math , 15 : 229 – 233 .
   Google Scholar
• Martensen , E. 1973 . Darstellung und Entwicklung des Restgliedes der Gregoryschen Quadraturformel mit Hilfe von Spline-Funktionen . Num. Math , 21 : 70 – 80 .
   Google Scholar
• Vanden Berghe , G. , De Meyer , H. and Vanthournout , J. 1991 . On a class of modified Newton-Cotes quadrature formulae based upon mixed-type interpolation . Journ. of Comp. and Appl Math , 31 : 331 – 349 .
   Google Scholar
• Vanden Berghe , G. , Bocher , P. and De Meyer , H. 1993 . Numerical solution of Fredholm equations based on mixed interpolation . APNUM , 13 : 15 – 22 .
   Google Scholar
• Vanden Berghe G. Bocher P. De Meyer H. Modified Gregory formulae based on mixed interpolation Internal Report TWI-93-16 24
   Google Scholar