REFERENCES
- R. Baltensperger and J.P. Berrut ( 1999 ). The errors in calculating the pseudospectral differentiation matrices for Čebyšev–Gauss–Lobatto points . Comput. Math. Appl. 37 : 41 – 48 . Errata: 38:119 .
- R. Baltensperger ( 2000 ). Improving the accuracy of the matrix differentiation method for arbitrary collocation points . Appl. Numer. Math. 33 : 143 – 149 .
- R. Barrio ( 2002 ). Rounding error for the Clenshaw and Forsythe algorithms for the evaluation of orthogonal polynomial series . J. Comput. Appl. Math. 138 : 185 – 204 .
- R. Barrio and J.M. Peña ( 2002 ). Numerical evaluation of the pth derivative of Jacobi series . Appl. Numer. Math. 43 : 335 – 357 .
- A. Bayliss , A. Class , and B. Matkowsky ( 1994 ). Roundoff error in computing derivative using Chebyshev differentiation matrix . J. Comput. Phys. 116 : 380 – 383 .
- J. Boyd ( 1989 ). Chebyshev and Fourier Spectral Methods . Lecture Notes in Engineering , Vol. 49 . Springer Verlag , New York .
- K. Breuer and R. Everson ( 1992 ). On the errors incurred calculating derivative using Chebyshev polynomials J. Comput. Phys. 99 : 56 – 57 .
- W. Don and A. Solomonoff ( 1995 ). Accuracy and speed in computing the Chebyshev collocation derivatives . SIAM J. Sci. Comput. 16 : 1253 – 1268 .
- G. Farin ( 1996 ). Curves and Surfaces for Computer Aided Geometric Design . Academic Press , Boston .
- R.T. Farouki ( 2000 ). Legendre-Bernstein basis transformations . J. Comput. Appl. Math. 119 : 145 – 160 .
- J. Hoschek and D. Lasser ( 1993 ). Fundamentals of Computer Aided Geometric Design . A.K Peters , Wellesley , MA .
- A. Rababah ( 2003 ). Transformation of Chebyshev–Bernstein polynomial basis . Comput. Meth. Appl. Math. 3 ( 4 ): 608 – 622 .
- A. Rababah ( 2004 ). Jacobi-Bernstein basis transfoprmation . Comput. Meth. Appl. Math. 4 ( 2 ): 206 – 214 .
- G. Szegö ( 1975 ). Orthogonal Polynomials. , 4th ed . American Mathematical Society , Providence , RI .
- T. Tang and M. Trummer ( 1996 ). Boundary layer resolving pseudospectral methods for singular perturbation problems . SIAM J. Sci. Comput. 17 : 430 – 438 .