jacobiZeros {rjacobi}R Documentation

Zeros of Jacobi Polynomials

Description

Calculates the zeros of nth order Jacobi polynomials

Usage

z = jacobiZeros(Q, a=0.0, b=0.0)

Arguments

Q Number of zeros, order = Q - 1
a α parameter of Jacobi polynomial. Defaults to 0
b β parameter of Jacobi polynomial. Defaults to 0

Details

An iterative procedure using the Zeros of Chebychev polynomials (whose zeros are known analitically) is used to compute the zeros

Value

A vector containing the zeros of the Jacobi Polynomial

References

Abramowitz, Milton and Stegun, Irene (editors); "Handbook of Mathematical functions", Dover Publications 1965.

Karniadakis, George Em and Sherwin, Spencer; "Spectral/hp Element Methods for Computational Fluid Dynamics", Oxford Science Publications, 2nd edition, 2005.

Examples


## Calculate the zeros of the 5th order Jacobi polynomials
z = jacobiZeros(5, 1, 0.5)


[Package rjacobi version 0.9.2 Index]