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