Numerical treatment of differential equations with the \(\tau\)-method

DOI10.1016/0377-0427(87)90134-8zbMath0631.65079OpenAlexW2142279361MaRDI QIDQ1094832

Manuel R. da Silva

Publication date: 1987

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(87)90134-8

zbMATH Keywords

orthogonal polynomialsnumerical examplesa posteriori error estimationNewton's linearizationLanczos tau-method

Mathematics Subject Classification ID

Numerical solution of boundary value problems involving ordinary differential equations (65L10) Linear boundary value problems for ordinary differential equations (34B05)

Related Items (2)

A tau method for nonlinear dynamical systems ⋮ New implementation of the tau method for PDEs.

Cites Work

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• Collocation and residual correction
• An operational approach to the Tau method for the numerical solution of non-linear differential equations
• Software for a method of finite approximations for the numerical solution of differential equations
• Matrix displacement mappings in the numerical solution of functional and nonlinear differential equations with the tau method
• Numerical solution of high order boundary value problems for ordinary differential equations with an estimation of the error
• Numerical Solution of Systems of Ordinary Differential Equations with the Tau Method: An Error Analysis
• Trigonometric Interpolation of Empirical and Analytical Functions

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