The weighting subspaces of the Tau Method and orthogonal collocation

Journal of Mathematical Analysis and Applications

Volumn 326, Issue 1, 2007, Pages 622-631

  El Daou, M K ^a   Ortiz, E L ^b  

^a Public Authority for Applied Education and Training   (Kuwait)

^b IMPERIAL COLLEGE LONDON   (United Kingdom)

Author keywords

Collocation; Orthogonal polynomials; Projection methods; Tau Method

Indexed keywords

EID: 33750616683     PISSN: 0022247X     EISSN: 10960813     Source Type: Journal    
DOI: 10.1016/j.jmaa.2006.03.019     Document Type: Article

References (8)

1. Crandall S.H. Engineering Analysis: A Survey of Numerical Procedures (1956), McGraw-Hill Company, Inc., New York
2. El-Daou M.K., and Ortiz E.L. A recursive formulation of collocation in terms of canonical polynomials. Computing 52 (1994) 177-202
3. Finlayson B.A., and Scriven L.E. The methods of weighted residuals - A review. Appl. Mech. Rev. 19 (1966) 735-745
4. Krasnosel'skii M.A., Vainikko G.M., Zabreiko P.P., Rutitsku Ya.B., and Stetsenko V.Ya. Approximate Solution of Operator Equations (1972), Wolters-Noordhoff, Groningen
5. Lanczos C. Trigonometric interpolation of empirical and analytical functions. J. Math. Phys. 17 (1983) 123-199
6. Lanczos C. Applied Analysis (1956), Prentice Hall, Englewood Cliffs, NJ
7. Ortiz E.L. The Tau Method. SIAM J. Numer. Anal. 6 (1969) 480-492
8. Ortiz E.L., and Samara H. An operational approach to the Tau Method for the numerical solution of nonlinear differential equations. Computing 27 (1981) 15-25