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gaussquad (version 1.0-3)

Collection of Functions for Gaussian Quadrature

Description

A collection of functions to perform Gaussian quadrature with different weight functions corresponding to the orthogonal polynomials in package orthopolynom. Examples verify the orthogonality and inner products of the polynomials.

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Version

Install

install.packages('gaussquad')

Monthly Downloads

404

Version

1.0-3

License

GPL (>= 2)

Maintainer

Frederick Novomestky

Last Published

June 14th, 2022

Functions in gaussquad (1.0-3)

chebyshev.c.quadrature.rules

Create list of Chebyshev quadrature rules
chebyshev.u.quadrature

Perform Gauss Chebyshev quadrature
gegenbauer.quadrature

Perform Gauss Gegenbauer quadrature
gegenbauer.quadrature.rules

Create list of Gegenbauer quadrature rules
chebyshev.t.quadrature

Perform Gauss Chebyshev quadrature
chebyshev.u.quadrature.rules

Create list of Chebyshev quadrature rules
chebyshev.s.quadrature

Perform Gauss Chebyshev quadrature
chebyshev.c.quadrature

Perform Gauss Chebyshev quadrature
chebyshev.s.quadrature.rules

Create list of Chebyshev quadrature rules
chebyshev.t.quadrature.rules

Create list of Chebyshev quadrature rules
hermite.h.quadrature

Perform Gauss Hermite quadrature
glaguerre.quadrature

Perform Gauss Laguerre quadrature
hermite.he.quadrature.rules

Create list of Hermite quadrature rules
hermite.he.quadrature

Perform Gauss Hermite quadrature
laguerre.quadrature.rules

Create list of Laguerre quadrature rules
laguerre.quadrature

Perform Gauss Laguerre quadrature
legendre.quadrature

Perform Gauss Legendre quadrature
legendre.quadrature.rules

Create list of Legendre quadrature rules
schebyshev.t.quadrature

Perform Gauss shifted Chebyshev quadrature
hermite.h.quadrature.rules

Create list of Hermite quadrature rules
ghermite.h.quadrature

Perform generalized Gauss Hermite quadrature
spherical.quadrature

Perform Gauss spherical quadrature
schebyshev.t.quadrature.rules

Create list of shifted Chebyshev quadrature rules
jacobi.g.quadrature

Perform Gauss Jacobi quadrature
ghermite.h.quadrature.rules

Create list of generalized Hermite quadrature rules
quadrature.rule.table

Generate the quadrature rule table
glaguerre.quadrature.rules

Create list of generalized Laguerre quadrature rules
quadrature.rules

Create a list of quadrature rule data frames
slegendre.quadrature.rules

Create list of shifted Legendre quadrature rules
slegendre.quadrature

Perform Gauss shifted Legendre quadrature
schebyshev.u.quadrature.rules

Create list of shifted Chebyshev quadrature rules
schebyshev.u.quadrature

Perform Gauss shifted Chebyshev quadrature
jacobi.g.quadrature.rules

Create list of Jacobi quadrature rules
ultraspherical.quadrature

Perform Gauss ultraspherical quadrature
jacobi.p.quadrature

Perform Gauss Jacobi quadrature
jacobi.p.quadrature.rules

Create list of Jacobi quadrature rules
ultraspherical.quadrature.rules

Create list of ultraspherical quadrature rules
spherical.quadrature.rules

Create list of shperical quadrature rules