On numerical improvement of Gauss-Lobatto quadrature rules

Applied Mathematics and Computation

Volumn 164, Issue 3, 2005, Pages 707-717

  Eslahchi, M R ^a   Masjed Jamei, M ^b,c   Babolian, E ^d  

^a AMIRKABIR UNIVERSITY OF TECHNOLOGY   (Iran)

^b Sanjesh Org Min Sci and Technol   (Iran)

^c K N TOOSI UNIVERSITY OF TECHNOLOGY   (Iran)

^d KHARAZMI UNIVERSITY   (Iran)

Author keywords

Gauss Lobatto quadrature rule; Numerical integration; Precision degree; The method of solving nonlinear systems; The method of undetermined coefficients

Indexed keywords

APPROXIMATION THEORY; FUNCTIONS; MATHEMATICAL MODELS; NONLINEAR SYSTEMS; POLYNOMIAL APPROXIMATION; THEOREM PROVING;

GAUSS-LOBATTO QUADRATURE RULES; PRECISION DEGREE; THE METHOD OF SOLVING NONLINEAR SYSTEMS; THE METHOD OF UNDETERMINED COEFFICIENTS;

INTEGRATION;

EID: 16344370083     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2004.04.113     Document Type: Article

References (11)

1. E. Babolian, M. Masjed-Jamei, M.R. Eslahchi, On numerical improvement of Gauss-Legendre quadrature rules. Journal of Applied Mathematics and Computation, in press
2. R.L. Burden, and J. Douglas Faires Numerical Analysis seventh ed. 2001 Thomson Learning
3. P. Davis, and P. Rabinowitz Methods of Numerical Integration second ed. 1984 Academic Press New York
4. M. Dehghan, M. Masjed-Jamei, M.R. Eslahchi, On numerical improvement of closed Newton-Cotes quadrature rules, Applied Mathematics and Computation, accepted for publication on 1 July 2004
5. M.R. Eslahchi, M. Dehghan, M. Masjed-Jamei, On numerical improvement of the first kind of Gauss-Chebyshev quadrature rules, Applied Mathematics and Computation, accepted for publication on 23 June 2004
6. G.H. Golub Some modified matrix eigenvalue problems Siam Review 15 1973 318 334
7. V.I. Krylov Approximate Calculation of Integrals 1962 Macmillan NY
8. M. Masjed-Jamei, M.R. Eslahchi, M. Dehghan, On numerical improvement of Gauss-Radau quadrature rules, Applied Mathematics and Computation, submitted for publication on 30 June 2004
9. A. Ralston, and P. Rabinowitz A First Course in Numerical Analysis second ed. 1978 McGraw-Hill New York
10. J. Stoer, and R. Bulirsch Introduction to Numerical Analysis second ed. 1993 Springer-Verlag New York
11. G. Szego Orthogonal Polynomials fourth ed. 1975 American Mathematical Society