The tau method with perturbation term depending on the differential operator

DOI10.1016/0377-0427(86)90245-1zbMath0592.65044OpenAlexW1989739888MaRDI QIDQ1075741

Maria Rosaria Crisci

Publication date: 1986

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(86)90245-1

zbMATH Keywords

orthogonal polynomialstau methodlocal truncation error

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Linear ordinary differential equations and systems (34A30) Numerical methods for initial value problems involving ordinary differential equations (65L05)

Cites Work

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• Some new characterizations of the Chebyshev polynomials
• C-polynomials for rational approximation to the exponential function
• 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
• The real-pole sandwich for rational approximations and oscillation equations
• Orthogonal Polynomials for Nonclassical Weight Functions
• Order stars and stability theorems
• A-Stability of a Class of Methods for the Numerical Integration of Certain Linear Systems of Ordinary Differential Equations
• The Tau Method
• Some relationships between implicit Runge-Kutta, collocation and Lanczosτ methods, and their stability properties
• Trigonometric Interpolation of Empirical and Analytical Functions

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