Error analysis of the Tau method: Dependence of the approximation error on the choice of perturbation term

DOI10.1016/0898-1221(93)90215-HzbMath0769.65045MaRDI QIDQ1203704

S. Namasivayam, Eduardo L. Ortiz

Publication date: 22 February 1993

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

error estimatesperturbationconstant coefficientssystem of ordinary differential equationsweighted residualsTau method

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05)

Related Items (8)

Error analysis of the Tau method: Dependence of the error on the degree and on the length of the interval of approximation ⋮ On the numerical solution of partial differential equations defined on domains limited by curves using segmented forms of the tau-lines method ⋮ The automatic solution to systems of ordinary differential equations by the tau method ⋮ A note on accurate estimations of the local truncation error of polynomial methods for differential equations ⋮ Unnamed Item ⋮ Symbolic and numerical computation on Bessel functions of complex argument and large magnitude ⋮ Tau-lines: A new hybrid approach to the numerical treatment of crack problems based on the Tau method ⋮ A recursive formulation of collocation in terms of canonical polynomials

Cites Work

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• Some remarks on multivariate Chebyshev polynomials
• Tau-lines: A new hybrid approach to the numerical treatment of crack problems based on the Tau method
• A Tau method based on non-uniform space-time elements for the numerical simulation of solitons
• Differential equations with piecewise approximate coefficients: Discrete and continuous estimation for initial and boundary value problems
• Step by step tau method. I: Piecewise polynomial approximations
• An Extension of Ortiz' Recursive Formulation of the Tau Method to Certain Linear Systems of Ordinary Differential Equations
• Numerical Solution of Stiff and Singularly Perturbed Boundary Value Problems With a Segmented-Adaptive Formulation of the Tau Method
• Local Piecewise Polynomial Projection Methods for an O.D.E. Which Give High-Order Convergence at Knots
• The Tau Method
• Trigonometric Interpolation of Empirical and Analytical Functions

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