Some extensions of the Lanczos-Ortiz theory of canonical polynomials in the Tau Method

DOI10.1090/S0025-5718-97-00816-8zbMath0866.65045OpenAlexW2145004106MaRDI QIDQ3127323

M. E. Froes Bunchaft

Publication date: 8 April 1997

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0025-5718-97-00816-8

zbMATH Keywords

Lanczos methodboundary value problemsinitial value problemsapproximation of functionscanonical polynomialsOrtiz's tau method

Mathematics Subject Classification ID

Linear ordinary differential equations and systems (34A30) Numerical methods for initial value problems involving ordinary differential equations (65L05) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Linear boundary value problems for ordinary differential equations (34B05)

Related Items (3)

Tau approximation method for the weakly singular Volterra-Hammerstein integral equations ⋮ A new recursive formulation of the Tau method for solving linear Abel-Volterra integral equations and its application to fractional differential equations ⋮ Numerical computation of the tau approximation for the Volterra-Hammerstein integral equations

Cites Work

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• Numerical solution of ordinary and partial functional-differential eigenvalue problems with the Tau method
• An operational approach to the Tau method for the numerical solution of non-linear differential equations
• A Tau method based on non-uniform space-time elements for the numerical simulation of solitons
• Numerical approximation of solutions of functional equations using the Tau method
• A unified approach to the tau method and Chebyshev series expansion techniques
• Numerical Solution of Systems of Ordinary Differential Equations with the Tau Method: An Error Analysis
• On the numerical solution of two‐point boundary value problems for linear differential equations
• The Tau Method
• Trigonometric Interpolation of Empirical and Analytical Functions

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