TECHNICAL NOTES
Nov 1, 1990
Numerical Differentiation Using Gaussian Quadrature
Author: B. L. LyAuthor Affiliations
Publication: Journal of Engineering Mechanics
Volume 116, Issue 11
Abstract
A numerical method is derived for finding the slope of a function from its tabulated values. This method requires that the interpolation function directly approximate the slope in the mean-square sense. In this way, a formal differentiation of the interpolation function is avoided. As a result of the mode of approximation, it turns out that numerical integration, not numerical differentiation, is what is needed for finding the slope. An advantage of this feature is the possibility of using the Gaussian quadrature to derive a formula for nonequidistant sampling points.
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References
1.
Collatz, L. (1966). The numerical treatment of differential equations. Springer‐Verlag, Berlin.
2.
Lanczos, C. (1956). Applied analysis. Prentice‐Hall, Englewood Cliffs, N.J.
3.
Scarborough, J. B. (1962). Numerical mathematical analysis. 5th Ed., Johns Hopkins, Baltimore, Md.
4.
Stroud, A. H., and Secrest, D. (1966). Gaussian quadrature formulas. Prentice‐Hall, Englewood Cliffs, N.J.
Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 116 • Issue 11 • November 1990
Pages: 2568 - 2572
Copyright
Copyright © 1990 ASCE.
History
Published online: Nov 1, 1990
Published in print: Nov 1990
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Authors
Affiliations
B. L. Ly
Sr. Engr., Process and Safety Engrg. Dept., AECL‐CANDU, Sheridan Park, Mississauga, Ontario, Canada L5K 1B2
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