On the error in the numerical integration of chebyshev polynomials

D. Nicholson; P. Rabinowitz; N. Richter; D. Zeilberger

doi:10.1090/S0025-5718-1971-0300443-0

On the error in the numerical integration of chebyshev polynomials

D. Nicholson^*, P. Rabinowitz, N. Richter, D. Zeilberger

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

12 Scopus citations

Abstract

A general method is described to compute the exact error in the numerical integration of a given polynomial by certain types of integration rules. This method is applied to get exact errors in the integration of certain Chebyshev polynomials of the first kind by Gauss and Lobatto rule and asymptotic errors in the integration of Chebyshev polynomials of both kinds by Gauss, Lobatto and Radau rules.

Original language	English
Pages (from-to)	79-86
Number of pages	8
Journal	Mathematics of Computation
Volume	25
Issue number	113
DOIs	https://doi.org/10.1090/S0025-5718-1971-0300443-0
State	Published - Jan 1971
Externally published	Yes

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title = "On the error in the numerical integration of chebyshev polynomials",

abstract = "A general method is described to compute the exact error in the numerical integration of a given polynomial by certain types of integration rules. This method is applied to get exact errors in the integration of certain Chebyshev polynomials of the first kind by Gauss and Lobatto rule and asymptotic errors in the integration of Chebyshev polynomials of both kinds by Gauss, Lobatto and Radau rules.",

author = "D. Nicholson and P. Rabinowitz and N. Richter and D. Zeilberger",

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AB - A general method is described to compute the exact error in the numerical integration of a given polynomial by certain types of integration rules. This method is applied to get exact errors in the integration of certain Chebyshev polynomials of the first kind by Gauss and Lobatto rule and asymptotic errors in the integration of Chebyshev polynomials of both kinds by Gauss, Lobatto and Radau rules.

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On the error in the numerical integration of chebyshev polynomials

Abstract

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