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Asymptotic Properties of the Norms of Certain Collocation Matrices

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.

Publication metadata

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