gol_welsch: Golub-Welsch method to find quadrature points and weights for...
In mlpeck/zernike: Zernike Polynomials
gol_welsch R Documentation
Golub-Welsch method to find quadrature points and weights for Gauss-Legendre quadrature
Description
Calculates the nodes and weights for Legendre polynomials shifted
to the interval (eps^2, 1).
Usage
gol_welsch(eps, qwts)
Arguments
eps
obstruction fraction 0 <= eps < 1
qwts
an input R vector with length equal to the number of quatrature points.
Details
If N is the maximum polynomial order to be evaluated qwts should be at least
of length N/2 + 1. Quadratures will then be nominally exact.
Value
a vector of quadrature nodes the same length as qwts in the open interval
(eps^2, 1). qwts will be overwritten with the quadrature weights.
See Also
Called by zapm() and zapm_iso().
mlpeck/zernike documentation built on April 19, 2024, 3:16 p.m.
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| gol_welsch | R Documentation |
Golub-Welsch method to find quadrature points and weights for Gauss-Legendre quadrature
Description
Calculates the nodes and weights for Legendre polynomials shifted to the interval (eps^2, 1).
Usage
gol_welsch(eps, qwts)
Arguments
eps |
obstruction fraction 0 <= eps < 1 |
qwts |
an input R vector with length equal to the number of quatrature points. |
Details
If N is the maximum polynomial order to be evaluated qwts should be at least of length N/2 + 1. Quadratures will then be nominally exact.
Value
a vector of quadrature nodes the same length as qwts in the open interval
(eps^2, 1). qwts will be overwritten with the quadrature weights.
See Also
Called by zapm() and zapm_iso().
R Package Documentation
Browse R Packages
We want your feedback!
Note that we can't provide technical support on individual packages. You should contact the package authors for that.
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