PetscDTJacobiNorm#
Compute the weighted L2 norm of a Jacobi polynomial.
Synopsis#
#include "petscdt.h"
PetscErrorCode PetscDTJacobiNorm(PetscReal alpha, PetscReal beta, PetscInt n, PetscReal *norm)
\(\| P^{\alpha,\beta}_n \|_{\alpha,\beta}^2 = \int_{-1}^1 (1 + x)^{\alpha} (1 - x)^{\beta} P^{\alpha,\beta}_n (x)^2 dx.\)
Input Parameters#
alpha - the left exponent > -1
beta - the right exponent > -1
n - the polynomial degree
Output Parameter#
norm - the weighted L2 norm
See Also#
Level#
beginner
Location#
Index of all DT routines
Table of Contents for all manual pages
Index of all manual pages