On numerical improvement of closed Newton-Cotes quadrature rules

Applied Mathematics and Computation

Volumn 165, Issue 2, 2005, Pages 251-260

  Dehghan, M ^a   Masjed Jamei, M ^a,b   Eslahchi, M R ^a,b  

^a AMIRKABIR UNIVERSITY OF TECHNOLOGY   (Iran)

^b AEROSPACE RESEARCH INSTITUTE   (Iran)

Author keywords

Degree of accuracy; Newton Cotes formula; Numerical integration methods; The method of solving nonlinear systems; The method of undetermined coefficient

Indexed keywords

APPROXIMATION THEORY; FUNCTIONS; INTERPOLATION; LAGRANGE MULTIPLIERS; NONLINEAR SYSTEMS; POLYNOMIALS;

DEGREE OF ACCURACY; NEWTON-COTES FORMULA; NUMERICAL INTEGRATION METHODS; THE METHOD OF SOLVING NONLINEAR SYSTEMS; THE METHOD OF UNDETERMINED COEFFICIENT;

INTEGRATION;

EID: 17644374123     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2004.07.009     Document Type: Article

References (10)

1. K. Atkinson An Introduction to Numerical Analysis second ed. 1989 Wiley
2. E. Babolian, M. Masjed-Jamei, M.R. Eslahchi, On numerical improvement of Gauss-Legendre quadrature rules, Appl. Math. Comput., in press
3. R.L. Burden, and J. Douglas Faires Numerical Analysis seventh ed. 2001 Thomson Learning
4. R. Davis, and P. Rabinowitz Methods of numerical integration second ed. 1984 Academic Press New York
5. M.R. Eslahchi, M. Masjed-Jamei, E. Babolian, On numerical improvement of Gauss-Lobatto quadrature rules, Appl. Math. Comput., submitted for publication
6. M. Dehghan, M.R. Eslahchi, M. Masjed-Jamei, On numerical improvement of open Newton-Cotes quadrature rules, submitted for publication
7. W. Gautschi Numerical analysis: An introduction 1997 Birkhauser Boston
8. E. Isaacson, and H.B. Keller Analysis of Numerical Methods 1966 John Wiley and Sons New York
9. V.I. Krylov Approximate Calculation of Integrals 1962 Macmillan New York
10. M. Masjed-Jamei, M.R. Eslahchi, M. Dehghan, On numerical improvement of Gauss-Radan quadrature rules, submitted for publication