petsc-main 2021-04-20
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quadrature for the interval [a, b] with the weight function $(x-a)^\alpha (x-b)^\beta$, with endpoints a and b included as quadrature points.


#include "petscdt.h" 
PetscErrorCode PetscDTGaussLobattoJacobiQuadrature(PetscInt npoints,PetscReal a, PetscReal b, PetscReal alpha, PetscReal beta, PetscReal x[], PetscReal w[])
Not collective

Input Parameters

npoints - the number of points in the quadrature rule
a - the left endpoint of the interval
b - the right endpoint of the interval
alpha - the left exponent
beta - the right exponent

Output Parameters

x - array of length npoints, the locations of the quadrature points
w - array of length npoints, the weights of the quadrature points

Note: this quadrature rule is exact for polynomials up to degree 2*npoints - 3.




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