JacobiJacobiRadauMatrix
Jacobi Radau matrix for Jacobi polynomials.
INTERFACE
MODULE PURE SUBROUTINE JacobiJacobiRadauMatrix(a, n, alpha, beta, D, &
& E, alphaCoeff, betaCoeff)
REAL(DFP), INTENT(IN) :: a
!! one of the end of the domain
INTEGER(I4B), INTENT(IN) :: n
!! n should be greater than or equal to 1
REAL(DFP), INTENT(IN) :: alpha
!! alpha of jacobu poly
REAL(DFP), INTENT(IN) :: beta
!! beta of jacobi poly
REAL(DFP), INTENT(OUT) :: D(:)
!! the size should be 1:n+1
REAL(DFP), INTENT(OUT) :: E(:)
!! the size should be 1:n
REAL(DFP), OPTIONAL, INTENT(OUT) :: alphaCoeff(0:)
REAL(DFP), OPTIONAL, INTENT(OUT) :: betaCoeff(0:)
END SUBROUTINE JacobiJacobiRadauMatrix
END INTERFACE
Examples
- ️܀ See example
- ↢
program main
use easifemBase
implicit none
INTEGER( I4B ), parameter :: n = 5
REAL( DFP ) :: D(n+1), E(n+1), alphaCoeff(n+1), betaCoeff(n+1)
CALL JacobiJacobiRadauMatrix(-1.0_DFP, n, 0.0_DFP, 0.0_DFP, D, E, alphaCoeff, betaCoeff)
CALL Display(D, "D: ")
CALL Display(E, "E: ")
CALL Display(alphaCoeff, "alphaCoeff: ")
CALL Display(betaCoeff, "betaCoeff: ")
end program main
See results
results
D:
--------
0.00000
0.00000
0.00000
0.00000
0.00000
-0.54545
E:
-------
0.57735
0.51640
0.50709
0.50395
0.50252
0.00000
alphaCoeff:
------------
0.00000
0.00000
0.00000
0.00000
0.00000
-0.00000
betaCoeff:
-----------
2.00000
0.33333
0.26667
0.25714
0.25397
0.00000