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gaussquad (version 1.0-2)

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

439

Version

1.0-2

License

GPL (>= 2)

Maintainer

Frederick Novomestky

Last Published

February 5th, 2013

Functions in gaussquad (1.0-2)

gegenbauer.quadrature

Perform Gauss Gegenbauer quadrature
chebyshev.u.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
chebyshev.c.quadrature.rules

Create list of Chebyshev quadrature rules
ghermite.h.quadrature.rules

Create list of generalized Hermite quadrature rules
glaguerre.quadrature.rules

Create list of generalized Laguerre quadrature rules
schebyshev.u.quadrature

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

Create list of Jacobi quadrature rules
spherical.quadrature.rules

Create list of shperical quadrature rules
quadrature.rule.table

Generate the quadrature rule table
schebyshev.u.quadrature.rules

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

Perform Gauss Chebyshev quadrature
hermite.h.quadrature.rules

Create list of Hermite quadrature rules
schebyshev.t.quadrature.rules

Create list of shifted Chebyshev quadrature rules
ultraspherical.quadrature.rules

Create list of ultraspherical quadrature rules
slegendre.quadrature

Perform Gauss shifted Legendre quadrature
laguerre.quadrature

Perform Gauss Laguerre quadrature
ultraspherical.quadrature

Perform Gauss ultraspherical quadrature
spherical.quadrature

Perform Gauss spherical quadrature
glaguerre.quadrature

Perform Gauss Laguerre quadrature
jacobi.p.quadrature

Perform Gauss Jacobi quadrature
jacobi.p.quadrature.rules

Create list of Jacobi quadrature rules
hermite.he.quadrature

Perform Gauss Hermite quadrature
jacobi.g.quadrature

Perform Gauss Jacobi quadrature
laguerre.quadrature.rules

Create list of Laguerre quadrature rules
slegendre.quadrature.rules

Create list of shifted Legendre quadrature rules
legendre.quadrature.rules

Create list of Legendre quadrature rules
legendre.quadrature

Perform Gauss Legendre quadrature
chebyshev.s.quadrature

Perform Gauss Chebyshev quadrature
chebyshev.t.quadrature

Perform Gauss Chebyshev quadrature
ghermite.h.quadrature

Perform generalized Gauss Hermite quadrature
quadrature.rules

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

Create list of Gegenbauer quadrature rules
chebyshev.c.quadrature

Perform Gauss Chebyshev quadrature
chebyshev.s.quadrature.rules

Create list of Chebyshev quadrature rules
schebyshev.t.quadrature

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

Create list of Hermite quadrature rules