an:00120313
Zbl 0769.65045
Namasivayam, S.; Ortiz, E. L.
Error analysis of the Tau method: Dependence of the approximation error on the choice of perturbation term
EN
Comput. Math. Appl. 25, No. 1, 89-104 (1993).
00010866
1993
j
65L05 34A34
perturbation; system of ordinary differential equations; constant coefficients; Tau method; error estimates; weighted residuals
From the author's abstract: A system of ordinary differential equations with constant coefficients and asymptotic estimates for the Tau method approximation error vector per step for different choices of the perturbation term \(H_ n(x)\) is considered. The resulting Tau method implementation can be arranged into the following scale of increasing error estimates at the end point: Legendre \(<\) Chebyshev \(\ll\) Power series \(<\) Weighted residuals.
An application of the results to the analysis of singularly perturbed differential equations is discussed.
C.Simersk?? (Praha)