References
- Bellman , R. and Kotkin , B. 1962 . On the numerical solution of a differential-difference equation arising in analytic number theory . Math. Comp. , 16 : 473 – 475 .
- Crisci , M. R. and Ortiz , E. L. 1981 . Existence and convergence results for the numerical solution of differential equations with the Tau method , 1 – 17 . Imperial College . Res. Rep. NAS 23.04.81
- Freilich , J. H. and Ortiz , E. L. 1982 . Numerical solution of systems of differential equations with the Tau method: an error analysis . Math. Comp. , 39 : 467 – 479 . to appear in
- Howes , F. A. and Parter , S. V. 1978 . A model nonlinear problem having a continuous locus of singular points . Studies in Appl. Math. , 59 : 249 – 262 .
- Kedem , G. 1981 . A posteriori error bounds for two-points boundary value problems . SIAM J. Numer. Anal. , 18 : 431 – 448 .
- Lanczos , C. 1938 . Trigonometric interpolation of empirical and analytical functions . J. Math. Phys. , 17 : 123 – 199 .
- Luke , Y. L. 1969 . The Special Functions and Their Approximations , Vol. 1,2 , New York : Academic Press .
- van de Lune , J. and Wattel , E. 1969 . On the numerical solution of a differential-difference equation arising in analytic number theory . Math. Comp. , 23 : 417 – 421 .
- Namasivayam , S. and Ortiz , E. L. in press . Best approximation and the numerical solution of partial differential equations with the Tau method . Portugailæ Mathematica ,
- Onumanyi , P. and Ortiz , E. L. 1982 . Numerical solution of high order boundary value problems for ordinary differential equations with an estimation of the error . Int. J. num. Meth. Engngn. , 18 : 775 – 781 .
- Ortiz , E. L. 1969 . The Tau method . SIAM J. Numer. Anal. , 6 : 480 – 492 .
- Ortiz , E. L. 1974 . “ Canonical polynomials in the Lanczos' Tau method ” . In Studies in Numerical Analysis , Edited by: Scaife , B. P. K. 73 – 93 . New York : Academic Press .
- Ortiz , E. L. 1975 . Step by step Tau method . Comp. and Math. with Appli. , 1 : 381 – 392 .
- Ortiz , E. L. 1978 . “ On the numerical solution of nonlinear and functional differential equations with the Tau method ” . In Numerical Treatment of Differential Equations in Applications , Edited by: Ansorge , R. and Törnig , W. 127 – 139 . Berlin : Springer-Verlag .
- Ortiz , E. L. 198O . “ Polynomial and rational approximation of boundary value problems with the Tau method ” . In Boundary and Interior Layers-Computational and Asymptotic Methods , Edited by: Miller , J. J. H. 387 – 391 . Dublin : Boole Press .
- Ortiz , E. L. , Purser , W. F. C. and Canizares , F. J. Rodriguez . Automation of the Tau method . Presented to the Conf. on Numerical Analysis . 1972 . pp. 1 – 58 . Royal Irish Acad. . Imperial College Res. Rep. NAS 01.01.72
- Ortiz , E. L. and Samara , H. 1981 . An operational approach to the Tau method for the numerical solution of nonlinear differential equations . Computing , 27 : 15 – 25 .
- Ortiz , E. L. and Samara , H. in press . Numerical solution of partial differential equations with variable coefficients with an operational approach to the Tau method . Comp. and Math. with Appli. ,