The number of extrema of the error function of a class of methods for differential equations

DOI10.1016/S0898-1221(96)00220-9zbMath0873.65084MaRDI QIDQ678430

Mohamed K. El-Daou, Eduardo L. Ortiz

Publication date: 17 April 1997

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

zbMATH Keywords

error functionbest approximationpolynomial methodstau methodChebyshev errornumber of extrema

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Error bounds for numerical methods for ordinary differential equations (65L70)

Related Items (1)

A tau method with perturbed boundary conditions for certain ordinary differential equations

Cites Work

• Some remarks on multivariate Chebyshev polynomials
• Eine Aussage über Alternanten
• A recursive formulation of collocation in terms of canonical polynomials
• A unified approach to the tau method and Chebyshev series expansion techniques
• An Extension of Ortiz' Recursive Formulation of the Tau Method to Certain Linear Systems of Ordinary Differential Equations
• Numerical Solution of Systems of Ordinary Differential Equations with the Tau Method: An Error Analysis
• The Tau Method
• Trigonometric Interpolation of Empirical and Analytical Functions
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