ERIC Number: EJ908772
Record Type: Journal
Publication Date: 2011-Jan
Abstractor: As Provided
Reference Count: 5
The Nature of the Nodes, Weights and Degree of Precision in Gaussian Quadrature Rules
Prentice, J. S. C.
International Journal of Mathematical Education in Science and Technology, v42 n1 p109-117 Jan 2011
We present a comprehensive proof of the theorem that relates the weights and nodes of a Gaussian quadrature rule to its degree of precision. This level of detail is often absent in modern texts on numerical analysis. We show that the degree of precision is maximal, and that the approximation error in Gaussian quadrature is minimal, in a least-squares sense.
Descriptors: Least Squares Statistics, Algebra, Mathematical Formulas, Mathematics, Intervals, Equations (Mathematics), Mathematics Education
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Publication Type: Journal Articles; Reports - Descriptive
Education Level: N/A
Authoring Institution: N/A