El-Daou, M. K.; Ortiz, E. L. The weighting subspaces of the tau method and orthogonal collocation. (English) Zbl 1119.65065 J. Math. Anal. Appl. 326, No. 1, 622-631 (2007). Reviewer: I. N. Katz (St. Louis) MSC: 65L10 65L60 34B05 PDFBibTeX XMLCite \textit{M. K. El-Daou} and \textit{E. L. Ortiz}, J. Math. Anal. Appl. 326, No. 1, 622--631 (2007; Zbl 1119.65065) Full Text: DOI
El-Daou, M. K.; Ortiz, E. L. Biorthogonality, permanence and approximation methods for differential equations. (English) Zbl 1005.65078 Int. J. Pure Appl. Math. 1, No. 1, 51-69 (2002). Reviewer: Vicenţiu D.Rădulescu (Craiova) MSC: 65L60 65J10 65L10 34B05 PDFBibTeX XMLCite \textit{M. K. El-Daou} and \textit{E. L. Ortiz}, Int. J. Pure Appl. Math. 1, No. 1, 51--69 (2002; Zbl 1005.65078)
El-Daou, M. K.; Ortiz, E. L. The uniform convergence of the tau method for singularly perturbed problems. (English) Zbl 0883.65066 Appl. Math. Lett. 10, No. 2, 91-94 (1997). MSC: 65L10 34B05 34E15 PDFBibTeX XMLCite \textit{M. K. El-Daou} and \textit{E. L. Ortiz}, Appl. Math. Lett. 10, No. 2, 91--94 (1997; Zbl 0883.65066) Full Text: DOI
Ortiz, E. L.; Pham Ngoc Dinh, A. Some remarks on structural relations between the tau method and the finite element method. (English) Zbl 0872.65073 Comput. Math. Appl. 33, No. 4, 105-113 (1997). Reviewer: V.V.Strygin (Voronezh) MSC: 65L10 65N30 65N35 65L60 34B05 35J05 PDFBibTeX XMLCite \textit{E. L. Ortiz} and \textit{A. Pham Ngoc Dinh}, Comput. Math. Appl. 33, No. 4, 105--113 (1997; Zbl 0872.65073) Full Text: DOI
El-Daou, M. K.; Ortiz, E. L. Differential equations with locally perturbed coefficients: High order error estimates for function and derivative. (English) Zbl 0853.65084 Comput. Math. Appl. 31, No. 2, 73-84 (1996). Reviewer: Z.Jackiewicz (Tempe) MSC: 65L70 65L05 34A34 34B15 65L10 PDFBibTeX XMLCite \textit{M. K. El-Daou} and \textit{E. L. Ortiz}, Comput. Math. Appl. 31, No. 2, 73--84 (1996; Zbl 0853.65084) Full Text: DOI
Ortiz, E. L.; Pham, A. Some remarks on relations between the tau method and the finite element method. (English) Zbl 0914.65086 Hamoui, Adnan (ed.) et al., International workshop on the recent advances in applied mathematics, RAAM ’96, State of Kuwait, Kuwait, May 4–7, 1996. Kuwait: Kuwait Univ., Department of Mathematics and Computer Science, 423-429 (1996). MSC: 65L10 65L60 65L70 34B05 PDFBibTeX XMLCite \textit{E. L. Ortiz} and \textit{A. Pham}, in: International workshop on the recent advances in applied mathematics, RAAM '96, State of Kuwait, Kuwait, May 4--7, 1996. Kuwait: Kuwait Univ., Department of Mathematics and Computer Science. 423--429 (1996; Zbl 0914.65086)
El-Daou, M. K.; Ortiz, E. L. A recursive formulation of collocation in terms of canonical polynomials. (English) Zbl 0797.65056 Computing 52, No. 2, 177-202 (1994). Reviewer: T.Mitsui (Chikusa-ku / Nagoya) MSC: 65L10 65L60 34B05 34B15 PDFBibTeX XMLCite \textit{M. K. El-Daou} and \textit{E. L. Ortiz}, Computing 52, No. 2, 177--202 (1994; Zbl 0797.65056) Full Text: DOI
El-Daou, M. K.; Ortiz, E. L.; Samara, H. A unified approach to the tau method and Chebyshev series expansion techniques. (English) Zbl 0777.65051 Comput. Math. Appl. 25, No. 3, 73-82 (1993). Reviewer: H.Ade (Mainz) MSC: 65L10 34B10 PDFBibTeX XMLCite \textit{M. K. El-Daou} et al., Comput. Math. Appl. 25, No. 3, 73--82 (1993; Zbl 0777.65051) Full Text: DOI
El-Daou, M. K.; Ortiz, E. L. Error analysis of the Tau method: Dependence of the error on the degree and on the length of the interval of approximation. (English) Zbl 0772.65054 Comput. Math. Appl. 25, No. 7, 33-45 (1993). Reviewer: Z.Schneider (Bratislava) MSC: 65L70 65L10 65L05 34A34 34B15 PDFBibTeX XMLCite \textit{M. K. El-Daou} and \textit{E. L. Ortiz}, Comput. Math. Appl. 25, No. 7, 33--45 (1993; Zbl 0772.65054) Full Text: DOI
El-Daou, M. K.; Namasivayam, S.; Ortiz, E. L. Differential equations with piecewise approximate coefficients: Discrete and continuous estimation for initial and boundary value problems. (English) Zbl 0763.65053 Comput. Math. Appl. 24, No. 4, 33-47 (1992). Reviewer: M.Calvo (Zaragoza) MSC: 65L05 65L10 65L70 34A30 34B05 34E10 PDFBibTeX XMLCite \textit{M. K. El-Daou} et al., Comput. Math. Appl. 24, No. 4, 33--47 (1992; Zbl 0763.65053) Full Text: DOI
Liu, K. M.; Ortiz, E. L. Numerical solution of ordinary and partial functional-differential eigenvalue problems with the Tau method. (English) Zbl 0675.65087 Computing 41, No. 3, 205-217 (1989). Reviewer: L.Boubelíková MSC: 65L15 65N25 34K05 35R10 65N35 PDFBibTeX XMLCite \textit{K. M. Liu} and \textit{E. L. Ortiz}, Computing 41, No. 3, 205--217 (1989; Zbl 0675.65087) Full Text: DOI
Liu, K. M.; Ortiz, E. L. Tau method approximation of differential eigenvalue problems where the spectral parameter enters nonlinearly. (English) Zbl 0641.65067 J. Comput. Phys. 72, 299-310 (1987). Reviewer: A.L.Andrew MSC: 65L15 34L99 PDFBibTeX XMLCite \textit{K. M. Liu} and \textit{E. L. Ortiz}, J. Comput. Phys. 72, 299--310 (1987; Zbl 0641.65067) Full Text: DOI
Liu, K. M.; Ortiz, E. L. Tau method approximate solution of high-order differential eigenvalue problems defined in the complex plane, with an application to Orr- Sommerfeld stability equation. (English) Zbl 0634.65070 Commun. Appl. Numer. Methods 3, 187-194 (1987). Reviewer: L.M.Berkovich MSC: 65L15 34L99 PDFBibTeX XMLCite \textit{K. M. Liu} and \textit{E. L. Ortiz}, Commun. Appl. Numer. Methods 3, 187--194 (1987; Zbl 0634.65070) Full Text: DOI
Ortiz, E. L.; Pham-Ngoc-Dinh, A. An error analysis of the Tau method for a class of singularly perturbed problems for differential equations. (English) Zbl 0594.65062 Math. Methods Appl. Sci. 6, 457-466 (1984). MSC: 65L10 34B05 34E15 PDFBibTeX XMLCite \textit{E. L. Ortiz} and \textit{A. Pham-Ngoc-Dinh}, Math. Methods Appl. Sci. 6, 457--466 (1984; Zbl 0594.65062) Full Text: DOI
Onumanyi, P.; Ortiz, E. L. Numerical solution of stiff and singularly perturbed boundary value problems with a segmented-adaptive formulation of the Tau method. (English) Zbl 0574.65091 Math. Comput. 43, 189-203 (1984). MSC: 65L10 34B05 34B15 34E15 PDFBibTeX XMLCite \textit{P. Onumanyi} and \textit{E. L. Ortiz}, Math. Comput. 43, 189--203 (1984; Zbl 0574.65091) Full Text: DOI
Ortiz, E. L.; Samara, H. Matrix displacement mappings in the numerical solution of functional and nonlinear differential equations with the Tau method. (English) Zbl 0567.65056 Numer. Funct. Anal. Optimization 6, 379-398 (1983). MSC: 65L10 34B15 34K10 PDFBibTeX XMLCite \textit{E. L. Ortiz} and \textit{H. Samara}, Numer. Funct. Anal. Optim. 6, 379--398 (1983; Zbl 0567.65056) Full Text: DOI
Liu, Kam-Moon; Ortiz, Eduardo L. Approximation of eigenvalues defined by ordinary differential equations with the tau method. (English) Zbl 0518.65060 Matrix pencils, Proc. Conf., Pite Havsbad/Swed. 1982, Lect. Notes Math. 973, 90-102 (1983). MSC: 65L15 34K10 34L99 PDFBibTeX XML
Ortiz, E. L.; Samara, H. Numerical solution of differential eigenvalue problems with an operational approach to the Tau method. (English) Zbl 0508.65045 Computing 31, 95-103 (1983). MSC: 65L15 34L99 PDFBibTeX XMLCite \textit{E. L. Ortiz} and \textit{H. Samara}, Computing 31, 95--103 (1983; Zbl 0508.65045) Full Text: DOI
Ortiz, E. L.; Samara, H. Numerical solution of differential eigenvalue problems with an operational approach to the Tau method. (English) Zbl 0501.65043 Computing (to appear). MSC: 65L15 34L99 PDFBibTeX XML
Liu, K. M.; Ortiz, E. L. Eigenvalue problems for singularly perturbed differential equations. (English) Zbl 0518.65061 Computational and asymptotic methods for boundary and interior layers, Proc. BAIL II Conf., Dublin 1982, Boole Press Conf. Ser. 4, 324-329 (1982). MSC: 65L15 34L99 34B30 PDFBibTeX XML
Freilich, J.; Ortiz, E. L. Numerical solution of systems of ordinary differential equations with the Tau method: An error analysis. (English) Zbl 0501.65042 Math. Comput. 39, 467-479 (1982). MSC: 65L10 65L05 34A30 34B05 34B30 PDFBibTeX XMLCite \textit{J. Freilich} and \textit{E. L. Ortiz}, Math. Comput. 39, 467--479 (1982; Zbl 0501.65042) Full Text: DOI
Onumanyi, P.; Ortiz, E. L. Numerical solution of high order boundary value problems for ordinary differential equations with an estimation of the error. (English) Zbl 0478.65049 Int. J. Numer. Methods Eng. 18, 775-781 (1982). MSC: 65L10 34B05 34B10 PDFBibTeX XMLCite \textit{P. Onumanyi} and \textit{E. L. Ortiz}, Int. J. Numer. Methods Eng. 18, 775--781 (1982; Zbl 0478.65049) Full Text: DOI
Onumanyi, P.; Ortiz, E. L.; Samara, H. Software for a method of finite approximations for the numerical solution of differential equations. (English) Zbl 0464.65055 Appl. Math. Modelling 5, 282-286 (1981). MSC: 65L10 65-04 34B15 PDFBibTeX XMLCite \textit{P. Onumanyi} et al., Appl. Math. Modelling 5, 282--286 (1981; Zbl 0464.65055) Full Text: DOI
Ortiz, E. L.; Samara, H. An operational approach to the Tau method for the numerical solution of non-linear differential equations. (English) Zbl 0449.65053 Computing 27, 15-25 (1981). MSC: 65L05 65L10 34B05 34B15 PDFBibTeX XMLCite \textit{E. L. Ortiz} and \textit{H. Samara}, Computing 27, 15--25 (1981; Zbl 0449.65053) Full Text: DOI
Ortiz, Eduardo L. Polynomial condensation in one and several variables with applications. (English) Zbl 0438.65023 Topics in numerical analysis III, Proc. R. Irish Acad. Conf., Dublin 1976, 327-360 (1977). MSC: 65D20 65D15 41A10 41A17 41A50 68Q25 PDFBibTeX XML