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Lookup NU author(s): Dr Kenneth Wright
This paper shows that a matrix related to the n-point collocation solution of ordinary differential equations using global polynomials has norm which tends as n [right arrow, infinity] to the norm of an operator related to the differential equation, if the collocation points are chosen as the zeros of certain Jacobi Polynomials. The result justifies a simple error estimate for the solution.
Author(s): Wright K
Series Editor(s): Shaw B
Publication type: Report
Publication status: Published
Series Title: Computing Laboratory Technical Report Series
Year: 1979
Pages: [32]
Print publication date: 01/03/1979
Source Publication Date: March 1979
Report Number: 135
Institution: Computing Laboratory, The University of Newcastle upon Tyne
Place Published: Newcastle upon Tyne